{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:9ac98d381a5e413647bdbdda8508a383a46c30f0bc71ffc364051d51cfb34f79","sample_id":"sha256:67f543cf677ad3d189464a769444b9c5fc6b1988282ad3271e184fcdfc838f27","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:efd9defd8e8418a0b4ee6536a908197a07ea29266bd6f7193140f88e768e7b05","candidate_id":"sha256:a8c4c19c000e1cff10e013472ca803b16a05a86e12d8d195b94a88393a8c0c89","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":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (9, 9, 0, -3)\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":"sha256:1c9cbae0e6b7e167320e5242757a09fc958d2879445c1f85b9622ffc14bf55ac"},"incumbent_state_id":"sha256:6bdbb99b0f5a0ad4a6f4a071c931a8cb19592e2eeb3d871c5128e2f302d1022e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -35}, {\"input\": -3, \"output\": 6}, {\"input\": 3, \"output\": 7}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 7, 0, -3)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:daaad424841e5ff7a972013a56d348a0fa07a6ccdf113a1ad3bebadced5b6497","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000000"},{"accepted":{"artifact_digest":"sha256:b0b8e0c2e1048600d8f515997978aad6382218a7f361381addd957a6253b1564","candidate_id":"sha256:74da9551cf0acae0065927905bf4a1c3880ec4a6b22387f7b9d09fb7108b9b70","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (9, 9, 4, -3)\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:b3e25e453e068e3a36494c07de64dbf78f9b52ad5d9c0aedd2af4e06cbe80b83"},"incumbent_state_id":"sha256:a8c4c19c000e1cff10e013472ca803b16a05a86e12d8d195b94a88393a8c0c89","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -35}, {\"input\": -3, \"output\": 6}, {\"input\": 3, \"output\": 7}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 9, 0, -3)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:262eaf4b5e46dc595990c6858ce48f1263506e924bd67d798d73e4ae2d6cc3d9","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000000"},{"accepted":{"artifact_digest":"sha256:001a8d7459dfec08b9e04cebc2ce71e514dd01360d8f228c90d6141349021601","candidate_id":"sha256:e685160615f4c5c1fd9ab4104178a04efe5f39cac79ac03bc357d4af16eea51b","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 = (-8, 9, 4, -3)\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":"sha256:8228b55e09f7f493b53832c12bf4681a67fd0a54bc099610cb247a5ace9c3f8a"},"incumbent_state_id":"sha256:74da9551cf0acae0065927905bf4a1c3880ec4a6b22387f7b9d09fb7108b9b70","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -35}, {\"input\": -3, \"output\": 6}, {\"input\": 3, \"output\": 7}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 9, 4, -3)\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_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c1d34ad27abb1164e363170f64a7c85b4491babfe1fa647853799bfa3b324b9e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000000"}],"task_id":"vlr-formal-v2-0000000","trajectory_id":"vlr-formal-v2-0000000-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:16432288c577bb0c8c933ea3338d4159bc29630c4405762e1d60cb543622f211","sample_id":"sha256:2fd14d8c4b08deb306b29ca73f6bd61451a3814fdc81583c49483594ff014309","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:2b7269b6b6829597bb12be0b94fcbef82bcc86f304c9d0b20523f8e59e8e3a49","candidate_id":"sha256:ec50d9c6495d9f40afd4ccf386f10e747ba6bbe17f9358c67f5174913cab2637","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-7, 5, 3, 0, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2d324aa0a85a5bf62fcd8317181d63f64fb2ce29b016bb68963e043d7128760f"},"incumbent_state_id":"sha256:8126b2c5ac79f2824b36acb9853696be6c374cd5092d127a1a74bc619e53013f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-7, 5, 2, 0, -6)\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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f310955be5af7582c1dd15c54db86b71945325be3a7a809822ab93511a521cdb","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000002"},{"accepted":{"artifact_digest":"sha256:e251f3fce7117d486b9a3329b0c0b35c8b67f83894ce3f241b76d6ca080dc263","candidate_id":"sha256:b27ea1ced12b86171074b9ab0326ec785428678a6ddde440c84f59715723f95e","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-7, 5, 3, 0, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e8a9da45cda6bb1e6da3c41a3e428e04ed733a94c4e1ac7bbcd7eb6953934725"},"incumbent_state_id":"sha256:ec50d9c6495d9f40afd4ccf386f10e747ba6bbe17f9358c67f5174913cab2637","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-7, 5, 3, 0, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:028c2462e621aebb43e4b91ec9f4e82f486aa6f59d64b420666c761f4ea49181","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000002"},{"accepted":{"artifact_digest":"sha256:acc8fbd9ac31cd30a51b609e08b7eefd510982a5fa3b71307ab08b519dcce8f0","candidate_id":"sha256:a08a3927b6fdf8a6a3d2a64d1f93b5b2f568b43bfd28e571a0eb2eb1065a553a","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 = (7, 5, 3, 0, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b8c2c8d794a5797898661e8e06390e37d70a94475c4142c38c641232f197aff5"},"incumbent_state_id":"sha256:b27ea1ced12b86171074b9ab0326ec785428678a6ddde440c84f59715723f95e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-7, 5, 3, 0, 4)\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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:62a697b9819d673704ff3db8e71dc0549adb8df5574eb88161865b7bf3f6bcd6","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000002"}],"task_id":"vlr-formal-v2-0000002","trajectory_id":"vlr-formal-v2-0000002-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:f1532ddcd153e801af0aba445ff28e8292d08b87c68beda4bfd26311a3adde35","sample_id":"sha256:6e19f323ee444f9b674a58646fb1aa0954ce01076382e20560c11057bb3e466d","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:a177ee7bb03c6d64a151d700847a415996c5e18bce3743fe3cf99eb4820e1905","candidate_id":"sha256:eb8acb01718ab49505b071169989d96d0c16a4dea160e77de0a68d08d83819b7","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":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 4, 1, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:002a26e707946acf1c5d7c51bc2c3c84189f6b6a8e6a65244916b129ea50f4c2"},"incumbent_state_id":"sha256:901a4a9a872b42991f59b090a775ab0abcb58bc7bb151da1be368b43358a61c1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 4, 1, 2, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cc6c716bda317e70c64442e895df1f9f15b7590870121617f3e49a1be2bfbe63","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000003"},{"accepted":{"artifact_digest":"sha256:0db9428a971686ebb3afd78dcb76f2ba2a939f739876c026a7d7b82f9ec81de5","candidate_id":"sha256:b9bde48604e0d196315546d864bbb1ae72ceee2cded6a74f4c2ebbda27ce0745","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 4, 1, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:582211c565bee198e97be7cdb29b578382e3ffc3f07e1d2ccccfe3ce341f3a78"},"incumbent_state_id":"sha256:eb8acb01718ab49505b071169989d96d0c16a4dea160e77de0a68d08d83819b7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 4, 1, 8, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:27fd28bb7eff4b975ce54061e6bc24de659ac5bcc11b5a7121a1bacbb59f0eed","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000003"},{"accepted":{"artifact_digest":"sha256:fc5a19812e8271a2093481d8fea1d85b4fb1374f522d079d9c78f39b411d4586","candidate_id":"sha256:e55d4aafd8bc7d79e4fc142e91c18995693fb6bcff287c5608898de1b04b460f","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 = (1, 2, 1, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:0dd06f76b057bf65bdb7c8cd23955510e306f241d5208499343504ad7787188a"},"incumbent_state_id":"sha256:b9bde48604e0d196315546d864bbb1ae72ceee2cded6a74f4c2ebbda27ce0745","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 4, 1, 8, 9)\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_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:35c970a7a2def0a990053c40d648e024d26a033b7fac63aaf48bb1a686c32174","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000003"}],"task_id":"vlr-formal-v2-0000003","trajectory_id":"vlr-formal-v2-0000003-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:e1a8b3731704dfcb85742072d8b53b74acc4ea2f8564ae6bec27fb4f188adb49","sample_id":"sha256:61f896ff62a03fee07e8bb5e366a4dea79c833e239faa70d0964d0448ffc6674","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e81aed611bdc6479bc1225dd5e25871f9fa643047bf7c39e5f70d2bbc099e986","candidate_id":"sha256:cfee3a8e112dbd36feb00db935be5be4bc6deaf196d8da92c54939bc28c4a678","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":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 5, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:256dbf04f0da4511be2cfc396578bc7adcc9c54742e466e2901a4c85456eb838"},"incumbent_state_id":"sha256:246c5496f9420cf5cac0cbfb80c5cfd3e402018fb34d0a866ca920c764ceb082","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 5, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d28e7e81536586fd0641c454554fdb0bd0708b0dbc616f9cf670eee355f98d69","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000005"},{"accepted":{"artifact_digest":"sha256:a8a8d1c451c34b3fab261461f4f867fd86594cdcec27941f5ac8d33af5c6c400","candidate_id":"sha256:d5b762e4abbf8c879ba12882c40314f023cb654a5638df7fedaa9c6f5589d6bd","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 = (4, 2, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:46fbe3348ba3e751e3dd1f1049ba927c3c0e8f7b613c3cdc8b3ad525f007b16c"},"incumbent_state_id":"sha256:cfee3a8e112dbd36feb00db935be5be4bc6deaf196d8da92c54939bc28c4a678","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 5, 2, 6)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c30a1e5c1e0a50ded4a5788dac5b49644c015f1ede40321557e147000559a6c3","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000005"},{"accepted":{"artifact_digest":"sha256:1371a1a676e11ce7e0be64b4db7cb4e6990276eb2fde32b4f6643358e4081b2c","candidate_id":"sha256:981837d7306508681ab618dde3b78281bc7156d9afff76dd59a08e2f369e2ec4","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 = (4, 2, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:b8d42dd4023e90937bcc28a356049f84c397fdc54726729d67800ae2f544193f"},"incumbent_state_id":"sha256:d5b762e4abbf8c879ba12882c40314f023cb654a5638df7fedaa9c6f5589d6bd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c1ace3d21488e186133ce2fcf84bfb6924e4b3ce280ecf977a948a203e0a8c19","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000005"},{"accepted":{"artifact_digest":"sha256:e543996ddbd1b8cfd490cea33f73df5b570f2a3ff9d080fb103fb8ce0e575108","candidate_id":"sha256:00c249964319f5a825263f1678c7d99ceaaac5e6c19473a4d3b72d24f84ce04b","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 = (4, 2, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5679cda41ec309b78e6b3d6812c2df2a32da58a9432faca7e42e4ed02c0f8b27"},"incumbent_state_id":"sha256:981837d7306508681ab618dde3b78281bc7156d9afff76dd59a08e2f369e2ec4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f9d784cf729001e850084cfae4c0c4c7353958453eb1b982f8a9616dd95d46c4","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000005"}],"task_id":"vlr-formal-v2-0000005","trajectory_id":"vlr-formal-v2-0000005-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:5a12cee6b34ea8b36af0245022db7e193692e1349f7183d130cff5df4d76b6c4","sample_id":"sha256:d2117b09f354347d16d2535129241d94e705361b1575bcc876ce33f1d6bc870d","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:2447514b9ac88033bfbf7923ee9b5846688b79ff92d2f06de60a150a33c108f9","candidate_id":"sha256:149a8afdfaa08b629b0ad3cd3a778a69d2ec31cb270df5bd6c833b368318060d","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, -5, -5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c26c7af7933511739286a418b66c5b6e65a5b26c92938360858e5058ec62afc5"},"incumbent_state_id":"sha256:58bd78a2cdd56077141f8759ece2800cb257564e18770311bc40c6906fe91af7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -5, 5, -7, -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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ff47a170c034483ca274bf0ed6a8c3570c2ec3ccfda9acb9f7bdda9a3acf3d18","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000007"},{"accepted":{"artifact_digest":"sha256:8c0a62924ff54f6cf552f686c5ce2d6bbdccd8e6c0117dc855609c9f6cf3389c","candidate_id":"sha256:2667a107593f316110bc28873d0b393f6ce53e935e9d0e66416bb41d39cf87df","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 = (7, -5, -5, 0, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2a1a95eaaae309b7acb7abb838a83c3521b7910294fd73ec10660f4ce06e3c83"},"incumbent_state_id":"sha256:149a8afdfaa08b629b0ad3cd3a778a69d2ec31cb270df5bd6c833b368318060d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -5, -5, -7, -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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:33245f3ba5b5c066bad7bfc766a2b343b4d8207469d7be975fe7623b38bd403c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000007"}],"task_id":"vlr-formal-v2-0000007","trajectory_id":"vlr-formal-v2-0000007-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:45bece8f414a36a9d393e5cfa1f60c4ddcb4f0a45ac9f02137aeefbeaf9801a0","sample_id":"sha256:7947a273a953f4909066197055394c620820deeb8a64485cecfaba4a726c72c0","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:d497d2d009079202a1460fcf60971658b81654564e8a2656c7118811a25eac02","candidate_id":"sha256:4075d2b760cc25c80f8f423b38817d520e96a9008791e91436cc52956d2f77aa","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, 3, -5, -4)\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:a648a5a595f60f73e82574962d171a8c26b7f0df2e75bb38dbed9a0847d622ff"},"incumbent_state_id":"sha256:4b3c8d0b8e5aea64d1f80963aca644bd9f578411963315b0c4d19b2a8c296cf6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": 0}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 3, 5, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f5a3a2d0e0df3fe116666b81afb3388e14b963450b032d1ea07ceeff77e4dcd2","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000010"},{"accepted":{"artifact_digest":"sha256:e90bddbd4ad6cbbba0b45b0d1c4a2a28d950a0ea756629034f37006ee5604556","candidate_id":"sha256:e38b6207b4dcbe50a1405c9cdc46f143c1c5cafac4b00a85d16f6df4c572194b","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, 3, -5, 1)\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":"sha256:6aa5b6a6e17224059c9b3e1e0298223da556f0352932624d2b20c209b0ca6ef9"},"incumbent_state_id":"sha256:4075d2b760cc25c80f8f423b38817d520e96a9008791e91436cc52956d2f77aa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": 0}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 3, -5, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dfc506e179fac380905382d4770ad3d8708d7fa8411aadcf31bbd60bd309ec2d","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000010"}],"task_id":"vlr-formal-v2-0000010","trajectory_id":"vlr-formal-v2-0000010-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:6f8eb36797f40e10fc6e567849fbcb7c69339f287fdcf3e394709d5cf27d0d45","sample_id":"sha256:fa8d61d318eb6454fcab97d5bd18c4b4ce5fbd16b3357d97911a159f233d70bc","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:17a7a21954e7c36a90ea50014c30d8d921b976469e683ea6e63135048f8b19a6","candidate_id":"sha256:679027a212e64e80f1d8b4573c72a88ba2546df5edb18a6e9361c7b0294e139b","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 1, -6, -1, 0)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:cf150af743270e9da22f37e8d6e9be29e2b245445e5582e6acd8d27c5ba6117d"},"incumbent_state_id":"sha256:c617f46d31d5d77b9684cd63fbe726302106cefacf2bf31ae7470f9bae91429e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, 1, -6, -1, 0)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1787f1ad2a6c490005e1ae567723d33ecfc6cf4b52051d29252e7ff24d7d5c85","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000011"},{"accepted":{"artifact_digest":"sha256:b980b9af5f073dfeb71b6c33b5ba681ab6e7ce9d39a67306b08e864f939e5554","candidate_id":"sha256:58c8b665a9f3c4fa9adf68ab4e95f9d7f6c5731e0322dd06de31cc81d98131f0","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 1, -6, -1, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:258405fd645aaaddc3aae01d4fc65954b994a5070ed3bb190dc52a5c53cf8b50"},"incumbent_state_id":"sha256:679027a212e64e80f1d8b4573c72a88ba2546df5edb18a6e9361c7b0294e139b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 1, -6, -1, 0)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7eb39ad80b92051006d04faa5d0496f21a0dc4415fed8f64d5a10d7ebe35df00","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000011"},{"accepted":{"artifact_digest":"sha256:a5c221115600c2e754c08c5b54960e828c9c47f73c740426973d0fea06439b4f","candidate_id":"sha256:a8885835b7d5220f7d191542d4406c7b1eb0a9f3fa1049e3a5973140672661a1","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 7, -6, -1, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:da0e8757c9b927738d3c81774a69a6eba4205bc6f8bdded1abe93a5a89b1cb15"},"incumbent_state_id":"sha256:58c8b665a9f3c4fa9adf68ab4e95f9d7f6c5731e0322dd06de31cc81d98131f0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 1, -6, -1, 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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6a8b296c506e8b7f4f6286a6acd2f81d2d03f1894e3331fee7493dff282c1910","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000011"},{"accepted":{"artifact_digest":"sha256:ad8fdd631491766012abfb61ee169e88975e99665d2df362a6b466e895a32e8e","candidate_id":"sha256:c6729494035b2d0f43c3a72c062f967c6b7c8454e4a142145b7955b299cfa248","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 7, -1, -1, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:33fd6dfae9289b2c7859059924b2cec92456c34ad7af3ca8defcea27f617d5e0"},"incumbent_state_id":"sha256:a8885835b7d5220f7d191542d4406c7b1eb0a9f3fa1049e3a5973140672661a1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 7, -6, -1, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:986bad7351cca4cea41f5df009bf764b799a2eda78fd1905cec1e70da24fb1b1","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000011"}],"task_id":"vlr-formal-v2-0000011","trajectory_id":"vlr-formal-v2-0000011-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:f414e9af5b0a9f43089fbbd419d751f7c91128ea3c043cd95b4ef9b28ea0b3e3","sample_id":"sha256:f2313b715ece885950a757273e7f3f9390591d00df7d3ce3d844f0b4d2ecf2c1","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c278394140da132f4f8a4d054c831b83b83e8b2ab000d0c9ae983cfbfc95ade0","candidate_id":"sha256:a7ccae005d40cada86dbd8ef5bc5d77716d5514fd166440a2fc892a9863b9b90","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 = (2, -6, 2, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a2aac6ebf9726befec5c06180d428578d1e3a7fc534f80534d4cb6fe41b3bd4f"},"incumbent_state_id":"sha256:9046df40c36acb4a5a220195fe8837380f2604091fd83c801d2e77a9f6bd3cc6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": -5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, -6, 2, 4, -6)\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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b7130ea53cec2eaf630e8028776e0cf33de6311abc1e34b59c7ba03c10b23c2b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000012"},{"accepted":{"artifact_digest":"sha256:1933d648eff93bc846e368fd96adae51aa87aa31eaaf6d268035b1af64d9ab29","candidate_id":"sha256:d7829a01d3c645d07cc78628d617b53ee4fb487d1170cf86383d846c1c7ac237","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, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d7c3d0ad943741a0a124f47aa835aff0c5cc278de3ed4c940d066c44c3d53689"},"incumbent_state_id":"sha256:a7ccae005d40cada86dbd8ef5bc5d77716d5514fd166440a2fc892a9863b9b90","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": -5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (2, -6, 2, 4, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b5d006dd79efd1503b16f2b904321f0aee65430ac44f6b05164d58430f617ebc","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000012"}],"task_id":"vlr-formal-v2-0000012","trajectory_id":"vlr-formal-v2-0000012-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:70d9ed10a51bba6524e62e5cb0ee73dde4a62d5f40ea23d0bcb010c71cad1f07","sample_id":"sha256:8cab552c6f433f734a2538b85fcb42fa08249234586a94da9f3c91e604b5ce06","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:1a693e0d4e7a189fe06e9b03832667fc63fd85d5e346366d785d2dc434855330","candidate_id":"sha256:3e017d9e0314a2dfcd0638e3e6869bb6f7dd5453c92a4483101ba9c0864d7e4c","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 9, 5, 7, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9255695953ecd63e963267b2b88e8e71d6519416d9eb29f7ed25b79dcbbf09d4"},"incumbent_state_id":"sha256:e0f834b69b9fb339020c37468c1a27f4b793f8bbd9b3eaa36871a826c53a88cd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 9, 5, 7, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:59c56204a30953b874298fd0e9a02438826946a3ede66e73bb5222156ea13a1f","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000013"},{"accepted":{"artifact_digest":"sha256:be95f03a12ef21a2ab128aff1a2cd8102e2b6b3c51c3825c082ca91ea6b92b86","candidate_id":"sha256:a10304b48d93a725f6a23760a16767ad1a185353beb5b0b518044a0c4571f44f","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 9, 5, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:04013a3d8b9efa1e7b82c80d2d29f543ed5588c41ca68dbf0a220474af71b3b0"},"incumbent_state_id":"sha256:3e017d9e0314a2dfcd0638e3e6869bb6f7dd5453c92a4483101ba9c0864d7e4c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 9, 5, 7, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:783a8ea17039c7dff5127227be604a232df28250c41b4701e9f7fafc8f589fc5","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000013"},{"accepted":{"artifact_digest":"sha256:2542b7556b3cffe472cca954a7c057e4cde918738021c209194873fb44b6406d","candidate_id":"sha256:25c48d57cc792f3d368f9a421a8ec1c9922537030f8813421a11522c47964438","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 9, 3, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1d5862c91dcc9005224c4dbaef76234ac8700d15f17cfc3c0e6a4b821c90ed5d"},"incumbent_state_id":"sha256:a10304b48d93a725f6a23760a16767ad1a185353beb5b0b518044a0c4571f44f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 9, 5, 9, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3467a70080b4528fe82ed73700e1b7f36c458902c12c9173408d0556a9c16f38","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000013"},{"accepted":{"artifact_digest":"sha256:e39b2452decf1b14a6e8c537ebc5da72970c41d790f9d35869c463883fca8791","candidate_id":"sha256:8876de54b2866084b91811d0193872a57759dbe9fc2432034a1eda322e5a9ffe","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 = (6, 4, 3, 9, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d8a51e4ccfa2abdad960b9fa4cdcd669713e2b159faa7c04cbf18574842f8ca6"},"incumbent_state_id":"sha256:25c48d57cc792f3d368f9a421a8ec1c9922537030f8813421a11522c47964438","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 9, 3, 9, 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_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d0320f7a002e20b5d2d39eedd94cc4b4cf0a66f23196d59bbd415915934582e1","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000013"}],"task_id":"vlr-formal-v2-0000013","trajectory_id":"vlr-formal-v2-0000013-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:34dc5731f973d24e075516ff39e1a2a7af56cc5b891fce90d927ab4f6dcfb8b0","sample_id":"sha256:e624b8408e8f5cdc2ac916dd26fcae302066c6521d6237a4356a1d06fd71bd8d","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:69b34bc39e16be90ce1536df2b840f5b507d5aa682911174d12cd27723c45903","candidate_id":"sha256:4c03fe79769ed0233ae040fb3e07930a7590d25b6a8420e8f35a9aa1fcf52547","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 3, 3, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8a3a631fc47890284674713fc1b41f85e1715f0f80e5968e1e168692c0cc99d7"},"incumbent_state_id":"sha256:d544da7ba66fd8a6508e3203da9d813751e6ec10eaf5c28a4cedf52f742eacf7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 3, 3, 6)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:54a829c86c23a1124e0d0d16cdbde58c49e16b01e7571fa9b5aa02be36532a66","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000015"},{"accepted":{"artifact_digest":"sha256:9acecc57c1d97666c17ed364a1ed4b78fad3b3655c28022c9ad1604145cd47f6","candidate_id":"sha256:3fa93449c9880fb56a785d13f5f9660b8f7c7bafb5bbdc8432eaa27ec702b870","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":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 3, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4460128f037ba83ad3baccca87ad284afdae94fe83882248c2cccb5d50645790"},"incumbent_state_id":"sha256:4c03fe79769ed0233ae040fb3e07930a7590d25b6a8420e8f35a9aa1fcf52547","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 3, 3, 3)\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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3e0311279014a7f21b1d6e904302278c031c474ed904fa92e09a30b18313ca1d","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000015"},{"accepted":{"artifact_digest":"sha256:069958e455aa6d6b5f1acde3b54b1435d2c41e95c1a765dd264c65c028c376af","candidate_id":"sha256:e1af980386a28efbc1836a3df23a58bf5ad969f4a797ef0ed1acf6a6bc83f4ef","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 = (6, 1, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:51bd6f78e4a5e1702d463bb294afa949b153e6926bdccdc277e398eaa9b56a06"},"incumbent_state_id":"sha256:3fa93449c9880fb56a785d13f5f9660b8f7c7bafb5bbdc8432eaa27ec702b870","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 3, 4, 3)\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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2490da4815c978c35ca4ea98bacfafa6ea57921566e8a3b6c49425f431fa49ef","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000015"}],"task_id":"vlr-formal-v2-0000015","trajectory_id":"vlr-formal-v2-0000015-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:d92cc9ad859f7a85b9954c7d0711954e95f030a16697fe85438fc702305e1701","sample_id":"sha256:28ccfd076bb3e8326648ace8e9ba63e0af31db0c93204bdb6ac4ee209c952e21","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:9ab093e2e63d940b800a0f64a8d06f432c7adca8058e6cff7f4db27a75eb7111","candidate_id":"sha256:286fb5d0f64cf228be4c686bcbe770204875484203a9839ec5b9ce444b318a4d","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 5, 0, -5, 7, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:70c478627310ea6d3dcff62c9af450fd8a3f857ddeb14eb7e58cd6a1fbc99283"},"incumbent_state_id":"sha256:9dcd8c33d5ff5c4791bc32db5e2135ade4328a3beb74eef049ea792d06e1e294","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (4, 5, 0, -5, 7, 1)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fe0ef1bb98419ea61252d3b85acf277cffadbd4088e84d9fd8f7451f844f8a2b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000016"},{"accepted":{"artifact_digest":"sha256:132cebac342f8b46c040074b57dd1e99a5e4a3887e8cc94e0bf9e57fddb42ddb","candidate_id":"sha256:2db504811374823c9306fea467bdc24054fa7144f9ab31abd350d949c249add5","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 = (-3, 0, 0, -5, 7, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4b7f08e30580347d4df72e01b7a289dbc3ea3ed0d26ccefb60fc0adc5eded5c5"},"incumbent_state_id":"sha256:286fb5d0f64cf228be4c686bcbe770204875484203a9839ec5b9ce444b318a4d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 5, 0, -5, 7, 1)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cf6a894964b0f1ab8d7b6f7e0b3ff3569980478c7f1f92388a9102ceceb254f7","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000016"}],"task_id":"vlr-formal-v2-0000016","trajectory_id":"vlr-formal-v2-0000016-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:a166f7df38e9574503ea97b05ab7244a1ebfbfaa3a8d26e4aa19a70d4b6c2487","sample_id":"sha256:4fbdb8c459f611270d0f1254f820927cf49370318fe868a30f136c97f9479709","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:041d4c3a2a8c38a02e14c14efce1fe49b0114206de3f21bfcda7b3dfd1be1518","candidate_id":"sha256:d5562515b802d71bb035e64816b6c841a950c74154542ef55aee62e44aed6989","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":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, -1, -8, 4, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a6d2e07e8768e519e0d9454f8702ae42dda5509b38e40120d0df2d8d8539836a"},"incumbent_state_id":"sha256:576f36c502f3166bfbb3e8c79e50f716b6a177bcc457bd670d3b935ddbf4b08b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 6}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, -1, -8, -5, 1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:df0875373acce26b59b18904eed4d1ba3cedfb111a3e26c553593173f8c8999e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000017"},{"accepted":{"artifact_digest":"sha256:b741ba8ad8bb6673b019f788722fddfb24fb72d490043d0e4a35baf1bb826767","candidate_id":"sha256:549232da737c12008e6d515f7e46140f1d223e91f7c32f6a34bfaae0d3869770","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 = (2, -1, -8, 4, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:3c620969231e4518b1af9cf34b37d2d46a4bb68f02aeb110b5ce5d618d141016"},"incumbent_state_id":"sha256:d5562515b802d71bb035e64816b6c841a950c74154542ef55aee62e44aed6989","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 6}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, -1, -8, 4, 1)\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_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3283ba91a66fd5c10ccbf93433317cd5e73fc1eef2df6d805701b55f0fdc9b6c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000017"},{"accepted":{"artifact_digest":"sha256:089d2df3e04669ff9a1b2d8902988fee8ab588eb78fd715a268dc8c184097453","candidate_id":"sha256:b4f03caafde0363e8c0019a3c007ccf38e762acdd9807db2f2534b60c41e631e","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, -1, -8, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7aa98a583928bd1be4e1a61813f4ae68a128d6cf91f64a7f33883010410d3098"},"incumbent_state_id":"sha256:549232da737c12008e6d515f7e46140f1d223e91f7c32f6a34bfaae0d3869770","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 6}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, -1, -8, 4, 1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:65278059de09bb84a591a71ef68243c2c64b5ecb4f709ef198f1bf6318800bc6","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000017"},{"accepted":{"artifact_digest":"sha256:8f6b059a72237ad21dfd4f34ec4b0b30768843e619c119f5f06f4576173ceae6","candidate_id":"sha256:bd13a9cb2d49a41254d7f5c06c4393ed003099953059fac93ad29dc97e230569","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 = (2, 4, -8, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f5de8da61951dfe77d0e0d8aa72bc5ad309822186349d49ffb6f830e6b2752d1"},"incumbent_state_id":"sha256:b4f03caafde0363e8c0019a3c007ccf38e762acdd9807db2f2534b60c41e631e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 6}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, -1, -8, 4, -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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4307beaca5e881e2add002f334e89f7f5bd5afe4e087e2b992a1ba26a3c7bffb","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000017"}],"task_id":"vlr-formal-v2-0000017","trajectory_id":"vlr-formal-v2-0000017-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:13eabf8edbffb2006187e509d16a9302753ee33f1c6469d4b9ed9d7248fde70a","sample_id":"sha256:9e2727bd6bc3bd267067d4103aa08c9ae3dc4e19ce19aafa4ef2bec7b40f9eef","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ede9af6a5dca3ad6ab890e5beff136880934065477ce28739c58b28e705a0d3b","candidate_id":"sha256:4a8fab4e58c981fce07f441cc4492685b36cf410015f3a82d5d58cf57a9bd446","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (8)\n    if x < 6: return x + (-9)\n    return x + (1)\n","verification_digest":"sha256:ab712d1c674fbadfdc34a0cc098537441d7559d7b4aaca19effa6c8a5f550df0"},"incumbent_state_id":"sha256:89a5b647376176e7ded4d6215ff9fb1ec5a82eee60f23c41d2b733cc876709dc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -32}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (8)\n    if x < 6: return x + (3)\n    return x + (1)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3d99797ffdf0bdbe362d926b4ba08dfdf5abd55da9b897f8127d9695dc35a96b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000020"},{"accepted":{"artifact_digest":"sha256:0ac1849fb85ef6cdaf381a172d37ff5c833e9950f6cb5e9ac190513a2ed43ec0","candidate_id":"sha256:648e074ede99e05483f1e84e2e5a0c88c756ae9271178d3b1451eb0066856047","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-9)\n    return x + (1)\n","verification_digest":"sha256:ca50cb0cf98ce08c6a14b578c98b2bcc7619ed1973382cfed006dc2481ade673"},"incumbent_state_id":"sha256:4a8fab4e58c981fce07f441cc4492685b36cf410015f3a82d5d58cf57a9bd446","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -32}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (8)\n    if x < 6: return x + (-9)\n    return x + (1)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2313bc7d0d751a6d619008ba65be03b9c4c234ff3d274c00bdaac7b6e3218aed","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000020"},{"accepted":{"artifact_digest":"sha256:52246edacf3c4b22f1d8821783a09cd9cc58d93b324d2388ed7728572b554122","candidate_id":"sha256:1dd8de9b2894faa58cc68b0fb73d09de05e3fe0acfdc001b78b655530ba1c4ed","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 + (-5)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-9)\n    return x + (1)\n","verification_digest":"sha256:0806dc1c483e689f3c9d0fc77b8c3b6a923ebf001d4b8f887c8f4cc441ea8dea"},"incumbent_state_id":"sha256:648e074ede99e05483f1e84e2e5a0c88c756ae9271178d3b1451eb0066856047","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -32}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-9)\n    return x + (1)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:58434032f779119b3a6c974971813fda7d2b45a75fa9025c24f2a1a9c7813b9a","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000020"}],"task_id":"vlr-formal-v2-0000020","trajectory_id":"vlr-formal-v2-0000020-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:c5b3cbfb7df59883434b08841bc50caf809d11ed12edf84dd0240ca14487ef72","sample_id":"sha256:ba35fe675840f017f81b598ff06a930cc0bd04132ddcd8bc61b85e095e46db53","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:998ae512c1e49651f39f201c8829d1ede22dd2a50dfa702b85e19decde705981","candidate_id":"sha256:3ac802a5cd907741d4c45938bd3a3df83ef003c32d6739c99d3f15fc53880047","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 = (-8, -4, 5, -3, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3332c2e7426725459262f314b129796680809f2ffaea295dc280f7014d4864bc"},"incumbent_state_id":"sha256:cc38c5e5e693b3c1bccc5961c44c3c3253fab6f4d7d7426428997e2fa19872a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-8, -5, 5, -3, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:747a448164850cf356912f32c7d800a02328898929bfc7e24dba3ee56f03c47f","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000021"},{"accepted":{"artifact_digest":"sha256:c2c1a58721db7848e50249d59d5860c6765c25537a82244a962336feae50cfa0","candidate_id":"sha256:f3eaa3435231c52500a5ee1185ff9dd968eb616a37daa9f03feb7590511c0555","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 = (8, -4, 5, -3, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:75e5bc971ceb2d4954fac98342212aa14e9921afa94cb7c7584386af82549f8e"},"incumbent_state_id":"sha256:3ac802a5cd907741d4c45938bd3a3df83ef003c32d6739c99d3f15fc53880047","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-8, -4, 5, -3, -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_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1bf3d3db3d48c8dd8a245534e3482dabb9050c98f74f771140533e779a5ac377","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000021"},{"accepted":{"artifact_digest":"sha256:72653c8aec1c83aff05c4eed810a25cdee708d1836055043adff85742a25ecf8","candidate_id":"sha256:0cac70feafef0eaf3bb133ac3e62c4ea8e8dcdf2d4801eb46f3195412e12afc6","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 = (8, -4, 5, 5, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3bed16e7abdd4cfb32fc90ced43c949696ed16e7f963cc94d47ab8d4ac29ba52"},"incumbent_state_id":"sha256:f3eaa3435231c52500a5ee1185ff9dd968eb616a37daa9f03feb7590511c0555","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -4, 5, -3, -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_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:204db14139bf5d6ca355fbd6dc5988b1693b685e888aba8728e4c39908f13c1e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000021"}],"task_id":"vlr-formal-v2-0000021","trajectory_id":"vlr-formal-v2-0000021-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:7b79a74f32cc80dfe8cf86383a1af87d6d6dbc327d6f68427ca8f665a13d0adf","sample_id":"sha256:5da44ca0f92d6a73adcc255e26a4a9a87f444d5cbdb97ba4c43e62d7b015bd23","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4953c036a391cc57f10464f03390be858355a2760acb99d465c024bafb680c4e","candidate_id":"sha256:d0fe912321b39dc78a8385ac49f1e246aa2101b775daf24cf825ba44841141f2","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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (0, 3, 1, -1, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:edeb810c4c660c70f0195c252b2b1ebd0e80384128156e883b081305e5e7e6c4"},"incumbent_state_id":"sha256:21d8d8ff2c6e8c4ab2f76e6dfcd1649e1a9c029e510245e9482d628add1e240c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (0, 3, 1, 2, 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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a544315f6c1419359001694527557b39fe6d5ce4e49e0b656a07ec10a7460dc2","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000022"},{"accepted":{"artifact_digest":"sha256:ee6750904b6d38ce1e38314626968110d71167df6e3e2e898ce4cf6adf372feb","candidate_id":"sha256:b1e043b54b09836f0fa741e851250412fa58689796fa1e48188cc5e4cab19aab","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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 3, 1, -1, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ccf529ff4d6dec3d69d61354b54ce228bcf8b7286611cc0e5c2615636097c268"},"incumbent_state_id":"sha256:d0fe912321b39dc78a8385ac49f1e246aa2101b775daf24cf825ba44841141f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (0, 3, 1, -1, 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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:60223d9e3e6c227e05b4899c0e30f0a18af48e7d1fb42be8b9aa673464bbf675","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000022"},{"accepted":{"artifact_digest":"sha256:f96b85ea9c1d3144566cba041aa405e4b0d2172caa90e634d87979914046c576","candidate_id":"sha256:a85d127d94b869e92a1c4af0cb3ba8296bf34f961305a9f52ec0495cf642c1c3","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 3, 1, -1, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5f8c14ba6a5201c533a52e48e34b9089035fc6ecd77099b56a78cd77f786ba6c"},"incumbent_state_id":"sha256:b1e043b54b09836f0fa741e851250412fa58689796fa1e48188cc5e4cab19aab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 3, 1, -1, 4)\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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1bc3775cf5cf69ab64038a34a3c13d9b1da6cd0288b887f0f30fe913f7960ebe","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000022"},{"accepted":{"artifact_digest":"sha256:d34c87e388b2411294f48ba71bc427e2d07fa30eb6543de013e7aaea1c2d6e54","candidate_id":"sha256:f93d323901af5435a9e1fc21b6f08e40e524a60a832d050b82ea5b04981d42a1","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 = (1, 3, -3, -1, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ad91be7a4814eb27c46983bc90ec56eaccb10a6495bdb742c4b4bf9f3a1cedcf"},"incumbent_state_id":"sha256:a85d127d94b869e92a1c4af0cb3ba8296bf34f961305a9f52ec0495cf642c1c3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 3, 1, -1, 5)\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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:474d855fcd61b816b95c0117529aca4de7232126adc9e730756096258594b0e8","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000022"}],"task_id":"vlr-formal-v2-0000022","trajectory_id":"vlr-formal-v2-0000022-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:cd9faa3b08a4c150a5f8e0b2cec740b163de983f36e5f5f39557426268a3aa79","sample_id":"sha256:45f4798400b220fe7efa82c73a10a7c7b368b6cf834c3e2e04262ea16fc05b82","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:7c4eb79aa7cddbe0582227f78d4a6ac216d31ed6f8a71393b7b38a65c974fe2a","candidate_id":"sha256:f8c3916edb4f6414224b6a338d491e46b7eb769e540dc3532d1aa0c9b738b836","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 = (5, 6, 8, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e7bfa94837bcff21dba0d9bc5ec627cdee3f8623a43cd40f2853eb62b2f6764a"},"incumbent_state_id":"sha256:36767f9b7789c7f0ea48dc80ef6d642a87172c2a6e600767c9ca8903052e4362","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 4, 8, 3, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=14\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8d056e566b8f45b2f5d4cff29714b2b0ae5e568ddc7c6fec559dfe8f07b1dcac","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000023"},{"accepted":{"artifact_digest":"sha256:fb7fc71951baa633b067d98c73d4f20ea2a40d2533838d3502888b6851151ed3","candidate_id":"sha256:69f2e5fb33430c36d5d9eac8ee876e207ad2ddb54dab8b1bc1c4f8e362bd610c","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":[1,0,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 6, 4, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8ecce1ac3b40d7adedbdfd757f35c03201a10b575e7713266d99c69644948277"},"incumbent_state_id":"sha256:f8c3916edb4f6414224b6a338d491e46b7eb769e540dc3532d1aa0c9b738b836","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 6, 8, 3, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ce4af6936c588631ca85b2ce60820b3ea9b9041c05f1b944263980628e7dfe35","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000023"},{"accepted":{"artifact_digest":"sha256:f337c25c8532ebaae0b5af7e5c2274f78f6c56238bc30c2fac3a63f2be03d7f8","candidate_id":"sha256:3f64200669df621a65e3311f30dbd68c3e6bd8d1dad690bc4af3564d5fbb221a","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 6, 4, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3180a754a0f1de426ba261b5816f03cfc9f63dcd5a2e56d2b5a985c42102d9e5"},"incumbent_state_id":"sha256:69f2e5fb33430c36d5d9eac8ee876e207ad2ddb54dab8b1bc1c4f8e362bd610c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 6, 4, 3, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d972a73546b55e4b70197ccceee1d660cd59cc77eae6f3b22b8860fffe2ed2eb","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000023"},{"accepted":{"artifact_digest":"sha256:eda9ca5743f019689e772bd489e88cc409812b520c8d4ac9d170126fa9efddec","candidate_id":"sha256:52034f93cd21df83083a6380c254fa6766b7f12cc69d5bacec7ef258ecadc020","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 = (6, 6, 4, 3, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:af073b5dfa49f323a19fd045643322b91f182129705c5416e0b959daa89822fd"},"incumbent_state_id":"sha256:3f64200669df621a65e3311f30dbd68c3e6bd8d1dad690bc4af3564d5fbb221a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 6, 4, 3, 1)\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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:602fe992be96e0486ee16c26f924a5bd51c6d0db85194026cd93da20852939b4","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000023"},{"accepted":{"artifact_digest":"sha256:eda606a6115fbcc2166cbe489669e406191b99b9dbf0fd2fd9fa85281ee2be7f","candidate_id":"sha256:0b09af9cbd4908a51d5173ceb89bb6ecc0b2dc3a380f8a0e209504089cfc6607","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 = (6, 6, 4, 4, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1048674dcdef0651e212618630fac0c177556ca6f7d7a77553d6861fb6c79bae"},"incumbent_state_id":"sha256:52034f93cd21df83083a6380c254fa6766b7f12cc69d5bacec7ef258ecadc020","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 6, 4, 3, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1daa0ab9bf39cf15721945fe3c279a93c019d4f833bf33918913c21f86ff41de","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000023"}],"task_id":"vlr-formal-v2-0000023","trajectory_id":"vlr-formal-v2-0000023-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:f6d691c2ab17bc864ebcbfeacb5515bd266087618bb5c3d2b3c951ed1aa477ea","sample_id":"sha256:7248aa0a0da1748e3cc9ac25ca5da3e746535b4f0c268a7b690df893693ac297","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:94d5163cc252e307ef4e6ff0bb61c0c81efd6e560dc3967e9a2c6a984e5d8c57","candidate_id":"sha256:06d14911883053f32c4804e6a9bfc94c62a213df7f60dabced7614477ab183bd","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 2, 5, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:664103f67dd342419c389dc10133ffa42260b66424a7fb2c4de3e2db1d4901bb"},"incumbent_state_id":"sha256:262a52db7730c958daaa73e161b0814bfbcff5330578fbdfba9a7d3acb5f9885","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 2, 6, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:093e0819a3eb3c9951f72eac25f60df5dc4c6f36d6bde6c72fd4f12803c8ae2e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000025"},{"accepted":{"artifact_digest":"sha256:8601c469f006bd273555328f668064e57623e7683de4ba1637b24c0883f51997","candidate_id":"sha256:b969f12e3bf808b3448d43d8ade010dc1ee5ad38ea4a426d68a3cd09fa815f6c","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 = (2, 2, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2072643e066c38e1c408c9d1da0818c00f52cd9c671064d96f38d3618d2b920c"},"incumbent_state_id":"sha256:06d14911883053f32c4804e6a9bfc94c62a213df7f60dabced7614477ab183bd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 2, 5, 3)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d7c69fd376ee5b60f8b399bd6174f7223e7222d2d1727be88e48e13d31bad944","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000025"}],"task_id":"vlr-formal-v2-0000025","trajectory_id":"vlr-formal-v2-0000025-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:5d24086f244638577e1431fc8e7846642a679d1a4ffd1c1131986d526106662c","sample_id":"sha256:ca255e4ce2446aa46c7b324ecd7dfa9272970c9e9b4e9b46dd5a4afad2de8efc","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:3bd28b18ee1d29d331bdadf5c3e4cad5ff15b91f9f8cf013bc68d7cc687f25d9","candidate_id":"sha256:944a7c6bcb5f9216e85d000462296c75e0026594c6a671b3ec2fe73ec8009e7c","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":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (1, -1, -2, 8, 8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2219ae4e622f175b7c33576963e4c3317453e1c1ac49ff3a43407ba08c3471bf"},"incumbent_state_id":"sha256:86f6f30f7f61bb3637794b4efe9ef7d66fbd5f3b4f90583a4fef0715a9c39bfb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (1, -1, -2, 8, 8, 0)\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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dec67aef3d3d3d68c92e8e878e301337b2b578b429e2c82a1c46fd8abeacf374","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000026"},{"accepted":{"artifact_digest":"sha256:190337c96830191d56286c8f76cc8a42bb4e5c932a47702e67cb4147a5266335","candidate_id":"sha256:b6ff433b455717e2df23d2b14d778dd787197c2cdcc60f33ec30df221a87639e","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":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, -1, -2, 8, 8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b16f5eab879cdce916783c5ea53e84c81fe783dc13bf356e726a187141486bae"},"incumbent_state_id":"sha256:944a7c6bcb5f9216e85d000462296c75e0026594c6a671b3ec2fe73ec8009e7c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (1, -1, -2, 8, 8, 7)\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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6903f4c8cffee09f364d0602100dd64ba81e13a190cc74aabcf36beacb7e9738","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000026"},{"accepted":{"artifact_digest":"sha256:17f19b3989130f39b7ac3e85073a88c1d90f69cc5cbd436641ae65249bcdfc43","candidate_id":"sha256:b18dfba671f23900a9bde6d0ff29eacee8198056ebedc615e9675d252a683748","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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, -1, -2, 6, 8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2c015ef57e99e1984deeedb8f2c5bd57a059a1aa86d96f0a8e99ec26e567d22b"},"incumbent_state_id":"sha256:b6ff433b455717e2df23d2b14d778dd787197c2cdcc60f33ec30df221a87639e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, -1, -2, 8, 8, 7)\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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bbca90417190b1edddf86f01009f635df795a04393bccac5c3d1e5b1d1b8e569","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000026"},{"accepted":{"artifact_digest":"sha256:90e4607a4e0ea6140a9c5405f35f21ec6264d5db390617e115b64bc7990faf1d","candidate_id":"sha256:3db49de55a918ab2ced2ebed1e569e264bd108f2ccf9cf99103b2b343d0deb1b","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 = (-3, -1, -2, 6, 3, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:926638b6b57ada2b9da82ac09b2e22ac068d5d9b1eb0622ffb9cbb486f101504"},"incumbent_state_id":"sha256:b18dfba671f23900a9bde6d0ff29eacee8198056ebedc615e9675d252a683748","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, -1, -2, 6, 8, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3a46852c67a8ba115dc7bac9085c4ce9d56df16391619e12c3b3c9edc6316640","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000026"},{"accepted":{"artifact_digest":"sha256:086d356c3a87e61beeab4006e85a630bc0395d3505a4b8e5c66a03c0fbf06f45","candidate_id":"sha256:a907d4c9437f1c5b4eda61eaf9bce963c591bf4e113a83133188efdc1f9c50eb","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 = (-3, -1, -5, 6, 3, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:976d5ef6746bf4b534f894669b2b25895e469b202c4d16c77b2668d5f96acca9"},"incumbent_state_id":"sha256:3db49de55a918ab2ced2ebed1e569e264bd108f2ccf9cf99103b2b343d0deb1b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, -1, -2, 6, 3, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9acf92947a345c430fc411e7614edb7d44052b9ce367f52749ff341db5b97ff8","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000026"}],"task_id":"vlr-formal-v2-0000026","trajectory_id":"vlr-formal-v2-0000026-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:0e2835e6cd084636088e76ef03ea6347fe8ee02947b2da6644e8fbf5ececd99b","sample_id":"sha256:e176e08749c7b6b3c40c4a8ccdbe3517e96ddd202aafb9deaf63d8b15fdfe815","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:7ed37b342fb2feee875a503d96f8dc726fd34a9b756b1316d2596f3e0ceeac2c","candidate_id":"sha256:053ebdc9c3cc996793c32d7a597e1275f2a0873826f0976ee3c9c2940740e414","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 = (6, 1, 5, 3, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:65a26486f952365d9287a209271e4bd197b892ea262c3d90e93f9027f0519236"},"incumbent_state_id":"sha256:7b0e58332c7946e8d4f466aa76537bd24d38b9bab87b03131ea644c4b4b490b1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -4}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 1, 5, 3, 3)\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_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2fa653ec5554a2c51d839f909edeafda450e50a9dbfc67e8e89789c0302795c5","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000027"},{"accepted":{"artifact_digest":"sha256:2bef8482ae9cbef6f4fdf9afa9d6f52ee0216f65bbfc01c0f86c357d9640567f","candidate_id":"sha256:c63ff24290406aff4fac8c88ec9361db4e550b7bd6e6e8e9db1dfdedc428a316","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, 1, 5, 3, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b383f9b653994f4e591d0d581ad0dca56e5181a5055af6765d96ba3bb8501321"},"incumbent_state_id":"sha256:053ebdc9c3cc996793c32d7a597e1275f2a0873826f0976ee3c9c2940740e414","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -4}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 1, 5, 3, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3c3976556b73f032f51630767af5f06ffdf3d85ff77778f32f57d55ebc1f98cd","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000027"},{"accepted":{"artifact_digest":"sha256:9f72a5dd094ca217c363840ee4c9702a2fa5d1a49d330ee0e001332a7f04318d","candidate_id":"sha256:871ee0cef40016129f8f8c646135d7a2577eb41750868a7f64f96ac6924a13ef","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 = (6, -6, 5, 3, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:43378537c1f805069afdcc5d0afc3b11bb23db5072d44372d870cc3618868e0d"},"incumbent_state_id":"sha256:c63ff24290406aff4fac8c88ec9361db4e550b7bd6e6e8e9db1dfdedc428a316","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -4}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 1, 5, 3, -1)\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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7758f02cfc8c6688c6578065452f45c344be8e4f7d96e048afa26504b36f60f5","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000027"}],"task_id":"vlr-formal-v2-0000027","trajectory_id":"vlr-formal-v2-0000027-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:a1fae2d9c1aeee7ae22d7b07e478975d8b49fbbb997a5c36c89f45b446a93177","sample_id":"sha256:b6aff6a4699f54c81a2698b2debe68483fc7caacdfa8f7c80e5cdfab5ae42025","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:84a0bb2cc4d9b5b907df2d18bb56dde5d058abc65e1a859d31e9d1506d781918","candidate_id":"sha256:a9483392d788b0ab07738d2e235f9d8c195589c745025ba6aea1c86496c08daa","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-5, -2, -2, -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":"sha256:5e389a1240e85f31430344ea7064b7856e5f1959ba6b97e0ee9b2bfe8f128386"},"incumbent_state_id":"sha256:9359000aca133b6fb3eb057f1ea707a1ed36173bbad826e9a501f523b5c49f4f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -25}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -2, 0, -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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cae7c7b4e0095f52c55e53365ed9a8390e4633d414879a4310f849246710b269","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000030"},{"accepted":{"artifact_digest":"sha256:43e8c12e3b2cba99ad5080429f34c436d3296df2474f08db82aa7f7c9fe1800c","candidate_id":"sha256:298ffa20b3ba20fbf83e34e8b3d345bf501ab38cd06ff5c31b1ae07732c6d016","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    offsets = (2, -2, -2, -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:c8e836c01fe2b56731827d8b9c452584060ecf25cb5c98367c0fa95b4c365e17"},"incumbent_state_id":"sha256:a9483392d788b0ab07738d2e235f9d8c195589c745025ba6aea1c86496c08daa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -25}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -2, -2, -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_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5b4cf15efd044bb2f7b2b53cf559a069671573f56658bf2d2f782f055cd0efb0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000030"},{"accepted":{"artifact_digest":"sha256:a74fc6d2428fdef6f9660fe5ebe175cb813997e1661fc15f75845c689168a12e","candidate_id":"sha256:81b2bbf05f5d6cf4d125bd129d36104a041bf5233d7f6d2f12ab6bed8627de95","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 = (2, 3, -2, -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":"sha256:1e0fd7cb8a1d8c1eb9ca513aa9b98629279265291e310fe731e08491ec538639"},"incumbent_state_id":"sha256:298ffa20b3ba20fbf83e34e8b3d345bf501ab38cd06ff5c31b1ae07732c6d016","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -25}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -2, -2, -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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6c6f9b5a312017e3d028e1df8d2749d374dd81bc7d1fcd11aa0b5842d97f948c","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000030"}],"task_id":"vlr-formal-v2-0000030","trajectory_id":"vlr-formal-v2-0000030-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:a5960761f18478c73af5a3fc737353a67125c92f447b9311779f023e229e839e","sample_id":"sha256:75777faf7422c8b3ae240171d13c3d07ac157c95cf1a17306d65254bb35add62","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:edd4ebd0490bb4a9e44d9661a95e014a5e774b516ee8061af1ac85208161c60f","candidate_id":"sha256:02cdffb5457026dcacdb419770a24184b23ff61b1cc7140aa8b69007e314bc20","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (8, -2, -3, -7, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fde0a9b7ff01fac9afda569345344b656117bcb10be1be1b10e494cc5022a946"},"incumbent_state_id":"sha256:da89c6cdae0b1ac20310e5e198efb23db171080acc78a96e5738260d27a046dd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -6, -3, -7, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ba85e6f38d7d02acd37cfdfa045d9e815bb94624d37965269d5f8f90cf7fe8ca","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000031"},{"accepted":{"artifact_digest":"sha256:7d0c201e5d2b0c91f29d36abe62524cfc937b41f1b8e333907a926798742018c","candidate_id":"sha256:a0f82ee01041564f74939e428ea757cb421125b78bd8e4480d1736854bed4d28","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (8, -2, -3, -7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2091664c635c3576d3a69d4a92baee23327794d2cab4fda6e564feb228fffe59"},"incumbent_state_id":"sha256:02cdffb5457026dcacdb419770a24184b23ff61b1cc7140aa8b69007e314bc20","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -2, -3, -7, -9)\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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2aa58182faabea006904c3aec1c4cb8679371664635957605219a673bf55fb47","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000031"},{"accepted":{"artifact_digest":"sha256:ef5299c523284e80bb9979bdbb3a450e123cc3a8fdafdc3ab004b42d71fc4df3","candidate_id":"sha256:2a2f5aecf6e7d2d0c95c50b8a4d516f8ce89c65b613980931a94820c931f5bd5","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 = (8, -2, 6, -7, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fb2449218b06cb35eba48a149ea04e6735f705ea73e0f21a54f97656901faa00"},"incumbent_state_id":"sha256:a0f82ee01041564f74939e428ea757cb421125b78bd8e4480d1736854bed4d28","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -2, -3, -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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a6574fc28a5f38009cc18e6f1d44c9deaf372ed40ae297710b956d99d1e26f3e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000031"}],"task_id":"vlr-formal-v2-0000031","trajectory_id":"vlr-formal-v2-0000031-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:da322d70ec596cde61fe3da0084018f27ed6121486972c88370950edad43ebcd","sample_id":"sha256:c2374c7b8246c87f55c97759a00d257cf9c2450beb18d9e9a0bd91c6d14457b2","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:cc3977c47c7e6f333caf50a617de7271373fd4473477ff4c2ba03bce9b3a2b9a","candidate_id":"sha256:4c03e8e3f7540e141fa09021da3a5d0534149c7e48d98939b88aba3bf94218de","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 = (3, 5, 6, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b7daa2f95b64529f358bb529b27e978706cd18215e2af42c12f2d83e133a48f3"},"incumbent_state_id":"sha256:315ebb08ccd3eaa1d49254918c94ec0fd7313e3b63d43a32eaa2447beeeface1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 7, 6, 6, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=14\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6f64332f38b8b0327e4fb2eb775b8a8b84b491cdfa91868cdb14ecc016142703","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000033"},{"accepted":{"artifact_digest":"sha256:380f2850fb907c0fd2d5a8b90bcf52a1261c341a6400849d31281e24bbcd84e3","candidate_id":"sha256:5e34a07a5513615536492e6be3bc33bc114efc83fb79dd42a6287006d8e6cfe2","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 5, 6, 6, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:fa5a4ec47f0e8d93572f400184b401068ec05fa0cd14b12b0ec4f5a324396025"},"incumbent_state_id":"sha256:4c03e8e3f7540e141fa09021da3a5d0534149c7e48d98939b88aba3bf94218de","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 5, 6, 6, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0d4426d3e1c111f13982570724b257436173d1011f4dc4508dc9f0c504c42336","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000033"},{"accepted":{"artifact_digest":"sha256:789f6b1a5db7601be61a91db6e0760466c1175510536727de2ce45c13aeee5b2","candidate_id":"sha256:bfa8a84788a2bb698412c731e1da877b77cff6e5fb71262525042fe7e659aa90","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 5, 6, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1f47328d726bceafa3681e893302ab9d96ee7180d9de4c85f095c8bb01d05425"},"incumbent_state_id":"sha256:5e34a07a5513615536492e6be3bc33bc114efc83fb79dd42a6287006d8e6cfe2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 5, 6, 6, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c722ab4bf7159a295c5e55630e80f4762e2075284b1867c28eb4c30b3774c019","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000033"},{"accepted":{"artifact_digest":"sha256:1df666d65e1c0ae44b6a6cfdb7285e41d55eccf4a2012e40d62c8917f8874964","candidate_id":"sha256:c0ff6314d7aba2f3be7b5fdd6817fb778d2365e767adbd3f5c4b06e73021211e","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 5, 6, 4, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:38818cdee1decc43d44c79838fe46f8906053c6f4fdc895abe53cbf36a34fa49"},"incumbent_state_id":"sha256:bfa8a84788a2bb698412c731e1da877b77cff6e5fb71262525042fe7e659aa90","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 5, 6, 4, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:441937e2e0e143c5985dd25ad897187ffc969deb1aa4ef74cca34b784a7850ab","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000033"},{"accepted":{"artifact_digest":"sha256:4d11e121881666d50d0a222ced42d70b42bbd435653f84340a11a5f35eeff1e2","candidate_id":"sha256:8f54f14cc1b24f519c3f8316d2a64b19e57a5246026a4b20e545937a2270c978","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, 5, 7, 4, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:726ebeaa99de540a1c2f16161989e539a94069bc8e6b685884a4a8893905d1c4"},"incumbent_state_id":"sha256:c0ff6314d7aba2f3be7b5fdd6817fb778d2365e767adbd3f5c4b06e73021211e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 5, 6, 4, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f7a66adf864fdc9182f854f129c8939b046e7923a4b6165e9fbafb18758a0b2c","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000033"}],"task_id":"vlr-formal-v2-0000033","trajectory_id":"vlr-formal-v2-0000033-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:ed77e9752657cc148c80e1f660ff6a16012d037bea1775b6afef12826d45e013","sample_id":"sha256:5c6f9e6edfa59e79399ad26b9803f3e2f5c8a99e4387d011bac1c578a2cf1a45","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e1a17e2ba30ca9beb91f9361d2f99ac10d7265de4a090328105e051d0302892a","candidate_id":"sha256:b9a5c29b19dbb5d79b8f2420be3cbf8a3578979af424088aaa46514323497595","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 = (5, 1, 9, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4d2296f660182a4a1749ecab248857c9332a2b29910bad8d841b18d99ad3c328"},"incumbent_state_id":"sha256:f83f4425328d67a1a90c8808990ef72d6bfcfa503581311b0e1a77543993ff15","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 4, 9, 8)\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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:53c18786d526aaa792c87f9258fd7d9be9be6403379613431e0b322bb0502ef9","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000034"},{"accepted":{"artifact_digest":"sha256:4cab7b1c2e24c12d7f6de1ca20c5750cca19ea5753e1980620ea28816f54ca7d","candidate_id":"sha256:ee14cd955a8ef5cf3cdc82b80d993566cddef441d0c83cc295b1a0ffb6d5ac0c","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 = (12, 1, 9, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b9fd50967c57a02c8533481a026b38f9dda9656ce706de7351005b5419a933cd"},"incumbent_state_id":"sha256:b9a5c29b19dbb5d79b8f2420be3cbf8a3578979af424088aaa46514323497595","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 1, 9, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8842edc50223423b99bce93e1d1d0d7ae464d7e64eb407edad2e84a480a81a45","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000034"}],"task_id":"vlr-formal-v2-0000034","trajectory_id":"vlr-formal-v2-0000034-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:2e2c38ef5d97f3de06c4c84ab148aa1fe030ed2011f83f13f8be246c6ea9f61a","sample_id":"sha256:2c95aba969fc2b75bf15b01b85c6829ff8a81433fad350456868d13e5d450f4d","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:6de8ceef56ef414f0af1317452ddc013f0ce397ceadfdf884b6fdbb9c18a042f","candidate_id":"sha256:7e8f9fa4113dd21cd898179f599a23ef28f29e58704b3a36ff9af0039a995edb","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":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 3, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ab1cd154e38f50b891310131494e78315d1a2dec64deb0eae636e0df74bc01a3"},"incumbent_state_id":"sha256:699e9eaa960c3bd22b3d541c903e33ce1dc55eb7bfe0e517abdfa8815be5846e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 3, 5, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:25c53f1f49ed245d4d648748f267b1093fadc1ee708a45ffd8a13f46931338a4","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000035"},{"accepted":{"artifact_digest":"sha256:43305d796ae83d9a2cc5b60ea7f6f27e324abc8fcb1f24f921849b59b18bf0ad","candidate_id":"sha256:6f5dd20b6eeda2fcda84131962dbb88c37956e04200c6915a1b87cc889218278","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":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6d6b7e1e9984af3ad7ea0935a1a488e811077876ad254dfccb94d8c42b0873b7"},"incumbent_state_id":"sha256:7e8f9fa4113dd21cd898179f599a23ef28f29e58704b3a36ff9af0039a995edb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 3, 2, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4f1df2197650baa65520e5b9306f10d43cffd49d7d286c6ba07f1b5af3b4ceb8","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000035"},{"accepted":{"artifact_digest":"sha256:be22f86666dedbb289028fa1485b6522fe6cc78504ef957ab75ae0a2a3429e73","candidate_id":"sha256:102ef389e6cf2de248fc87eb6c59270287c48e9665a0c8ca5d37d0ab2b2a3930","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 2, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5ade35e6b0efed7fb3d9318cead0c28432cb5fbcee5cf7a5bdcfafb6ba7462c6"},"incumbent_state_id":"sha256:6f5dd20b6eeda2fcda84131962dbb88c37956e04200c6915a1b87cc889218278","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 2, 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_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fce75aa68317e912468a3c75c1869d9322de25d5f9a6ba6e1de221430e51edf2","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000035"},{"accepted":{"artifact_digest":"sha256:fd877645cbc3014acc33c3891281763f05b1b92b4483288a8c9b294cf5ee9c77","candidate_id":"sha256:ffed1eb03b5bb790e553ba726671235573ef43cecd5c3d8889dfdc925077eee6","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 = (4, 4, 2, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6f2c27ca713ef5ccfb36db1bfdac3dc94390dfdeb96179697962c674c1dc037c"},"incumbent_state_id":"sha256:102ef389e6cf2de248fc87eb6c59270287c48e9665a0c8ca5d37d0ab2b2a3930","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 2, 5)\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_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cab8f025045a2f9f01652b07ae6782fcab884397031ce0e2d7f93cf402a608cc","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000035"}],"task_id":"vlr-formal-v2-0000035","trajectory_id":"vlr-formal-v2-0000035-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:bba5af0f131e1daa439474dc6de9f152fabd16b001493e2d60c398828dd420af","sample_id":"sha256:7e8c9e878ed120b147aad242ef81914c8b0e573be0a53de81dc5037cd1b58a99","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:79e2729ed66f28d38f6f903024e01d11c4103c949e3e7fbb7dc021a0f1ccda2e","candidate_id":"sha256:a2743cb914056c9e7bd5079ab7bd730e19f278121b20bf216da8d62d797530c4","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":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, -7, 5, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:86505d9b51473471146c0ab8dff94ef02b9b40d156b66290de165736c70b98a2"},"incumbent_state_id":"sha256:fee2bc07cc4cb42353508a79e08dbbc3f9a8b409f019bf208825b55370bc7016","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, -7, 5, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3c0b942eeb0d05684da2c08ec5caf03de9ef790ba4ed95fa4acad7a0dbb6281a","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000037"},{"accepted":{"artifact_digest":"sha256:0a070661892e60cc4f755bf8d07e2a8c12dbec6abd374a562e6058168cb89bf2","candidate_id":"sha256:7d54fddf26018f7270a86b7b4e651a9650ef48a54be592f5827959964f7349ef","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":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 1, 5, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:63b821dc5c23d1796f925e8a380c693e8bbe151afe957c77367492b5deda46e1"},"incumbent_state_id":"sha256:a2743cb914056c9e7bd5079ab7bd730e19f278121b20bf216da8d62d797530c4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, -7, 5, 6, 5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:97f3c175303c447140c276fa3c9b642dd92911fabd9ce584e4d77cb0e02e9cbc","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000037"},{"accepted":{"artifact_digest":"sha256:0aade80012174a49314778522e664ef04e7507102792ae11fe28ad709a48d887","candidate_id":"sha256:c6be95bdcf32aab6763b02b602ef326161079624426b990dce5ef710bc2fdf7d","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 1, 5, 6, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:794b9a1bfdc9b5279706511298c276b90b9d1e4fa40e4cd0bccf0cf9f78043f3"},"incumbent_state_id":"sha256:7d54fddf26018f7270a86b7b4e651a9650ef48a54be592f5827959964f7349ef","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 1, 5, 6, 5)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7be150dde31d940e3a750ab803b89167249c1bafd18ac71fe50ba04623d6671c","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000037"},{"accepted":{"artifact_digest":"sha256:1e91f7d2667c14f99a9461c6f16d66005d7670edd8eb1341ecf1003e59ddc65b","candidate_id":"sha256:fbd9f0da8600c737d51a8ae6b8a159513434cb45bf1e5c1e2120d3c54c323ace","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 = (-6, 1, 5, 4, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d7dc6bd064203029b8b58ea4e9fdab07e7ad7c874ceadf16bc321b9176a930bf"},"incumbent_state_id":"sha256:c6be95bdcf32aab6763b02b602ef326161079624426b990dce5ef710bc2fdf7d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 1, 5, 6, 4)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d87a5fecfaa8eb9528abe9aa2dd36359fbfd9f14bc7f1c53896d3b234cf04f46","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000037"},{"accepted":{"artifact_digest":"sha256:52ffc3a85a2db51c0f3e884c4aa0058b2a55f2c611a84081f64175047d07f0d5","candidate_id":"sha256:759212a79ed3880979b563f014c0d2c804bdfb257fa43049b81da82400765bda","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 = (-6, 1, 7, 4, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:77915dc571d3106904d78088cb850a508cac687c6294b2cb073c3933849b1efd"},"incumbent_state_id":"sha256:fbd9f0da8600c737d51a8ae6b8a159513434cb45bf1e5c1e2120d3c54c323ace","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 1, 5, 4, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cd7f5c128cc2ad56d86c7c44379ec21e9035dc049bead67f2c56db68041d311a","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000037"}],"task_id":"vlr-formal-v2-0000037","trajectory_id":"vlr-formal-v2-0000037-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:bdf3984af4d77a6a6ff13d353bb4730919f68f63b8385d0a32e35964d4589676","sample_id":"sha256:213f6994a7c185117e9d0e6e98140e6c6c780179195819912ea56d10547f515e","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:042845571723c0883eab59e4f4d5d4ca274989621a636e1479820c8fe9150619","candidate_id":"sha256:de97d319af03e0b8095e073c1d974b2518a1091471c6ee6e05d1e71aabf35543","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (7)\n    if x < 6: return x + (5)\n    return x + (-3)\n","verification_digest":"sha256:020ec1fab2144b6fe0bc6e382a31c47ee91baec2cb1cb93f54537a160d5123b4"},"incumbent_state_id":"sha256:a6528182fc5dabce526f3b9ca7c3cccb729554d4d4cc0880a7cb24e37754ec25","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -18}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 8}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (7)\n    if x < 6: return x + (0)\n    return x + (-3)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d01fdd3a0efd40d10ffb6c7c365f0630e839140939693f7c2e8c04dd25da8b7c","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000040"},{"accepted":{"artifact_digest":"sha256:ee6363d9f471093bf798b449d8e12e30454d17d6e822e97739b0b01448cd2e05","candidate_id":"sha256:333a4acf487d23aa4099104255f9d650bf623bbe57c3c288c0e7f9f1ff7c17ba","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (5)\n    return x + (-3)\n","verification_digest":"sha256:27acb831b9401cf2963ce3d52587972787de9bc7d739fd0ba175a12124c5052c"},"incumbent_state_id":"sha256:de97d319af03e0b8095e073c1d974b2518a1091471c6ee6e05d1e71aabf35543","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -18}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 8}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (7)\n    if x < 6: return x + (5)\n    return x + (-3)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c120636e6e283c890bc28aa2cbca3b27507c2e4454f713b3aec9b9f2d4e5675a","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000040"},{"accepted":{"artifact_digest":"sha256:8847c4ca027d07cce1b57c42f263419457591a8e2e54302c376bd728bd1e5b65","candidate_id":"sha256:1ab7dcf1bd4bacf5f66cf1ab04ba7dca47ebd61f97809422d38a1ef75d431c2f","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 + (9)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (5)\n    return x + (-3)\n","verification_digest":"sha256:a279589024977a0fa29356a9609146a4e2b05952f6ca6cb7a294b273e01200c0"},"incumbent_state_id":"sha256:333a4acf487d23aa4099104255f9d650bf623bbe57c3c288c0e7f9f1ff7c17ba","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -18}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 8}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (5)\n    return x + (-3)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e9e11ec5cbae93d4223b04488370d202f75e42f77060c48a3013f3326d6cdb33","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000040"}],"task_id":"vlr-formal-v2-0000040","trajectory_id":"vlr-formal-v2-0000040-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:b48be7c29b8c48b5bb4eb3975f6d06b7a770b207bc0e1a42a83a6e170ba3550a","sample_id":"sha256:ae902f5be7c494b4ae719c2f981990a477787254850d4b328b3560f2a2ae03ff","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:92a334823f560beabdf471ca4b0a5ae56e2ef4edd6918f34245f0264a76e79c2","candidate_id":"sha256:f427782e1cb0ad3b62baf3a90c7cd528820fb9e5e2ecd4efebe8a3831d91ab4d","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-4, -6, -1, 6, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:62c32f5e696c253bd820459bded17b13f842ae2503b8384ecf0a403f664103f0"},"incumbent_state_id":"sha256:45c738dab4bbec8170c0e086d40be744242262e5d963992316e38363d5c02358","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 1}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -6, -4, 6, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6e8eadcae34232c659e7bdafe76ecfdbf56b507ff149cdb45065cbf2f3eee929","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000041"},{"accepted":{"artifact_digest":"sha256:ea287a252623b6cc683e72084e6cbdebf625a66dffab63a0b10ca2bb68c70638","candidate_id":"sha256:19433276453619f230dbea76d333b52388d0e1f067806cf68910fcbe2d4cfab1","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-4, 4, -1, 6, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a3fb2cb15b95933aef1f328244bcfecfcf25d94f384f0476b9e2e1c7eeb3e5e6"},"incumbent_state_id":"sha256:f427782e1cb0ad3b62baf3a90c7cd528820fb9e5e2ecd4efebe8a3831d91ab4d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 1}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -6, -1, 6, 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_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\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:89ce15a4001db80ebd6de7cc5bdd6a6bb21a6af62273fea60e3875f177fa8588","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000041"},{"accepted":{"artifact_digest":"sha256:0b0376174cfd8082107e3fcbef7652842a02501b67e8cea120e8bdeb4a4f3c4e","candidate_id":"sha256:7c80956b22b6bc31ec73f4e2341e3a194ed31a4f3e4acf1f70a2a28b41bc1698","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-4, 4, -1, -2, 4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:9583e80615089c5becc4d31ca3ca029db486decad4fb1a4c254e4a4e1fd4206a"},"incumbent_state_id":"sha256:19433276453619f230dbea76d333b52388d0e1f067806cf68910fcbe2d4cfab1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 1}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, 4, -1, 6, 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_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3f9920d9f7c325de0364526faa0513896c306a4b1c6afbf8b300be5d41b4e205","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000041"},{"accepted":{"artifact_digest":"sha256:abcb2b3a51903f2363dbaec7345e455a72ecbe66dd085085c1b4f20dafade0c1","candidate_id":"sha256:81ff883df049e68a9a3de5bd69960354cc1ccdf186bd650decf8a8f3964a9db8","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 = (-4, 4, -1, -2, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:167a02cf4196f56982d547d6b4c3e8cad1d761fac069936e50c97648c33cf5a6"},"incumbent_state_id":"sha256:7c80956b22b6bc31ec73f4e2341e3a194ed31a4f3e4acf1f70a2a28b41bc1698","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 1}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, 4, -1, -2, 4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c1e7546b1cd36892220d4149032067c48b02c0739ecdce7d269835ee619f0bb5","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000041"}],"task_id":"vlr-formal-v2-0000041","trajectory_id":"vlr-formal-v2-0000041-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:b01991fd3c3a61918b5390e4e8f84b5f52d9a389bfb54d8d7455a0db5066fc68","sample_id":"sha256:9e146d674ea8daac2f7d42416191692fbed0baa6959b4975f070d4a49ac6fc73","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:51450fb9a61ea81d3d63c6caa97d5f55c67cd40420d95508b91ccf058f65cae7","candidate_id":"sha256:2b98cc8546908dcbaf153edc338ad22e0621750a9fe3fe64c08255061918e44f","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-6, -6, -7, -2, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4cb1bbf8641ae82c2801ba40d0564bfa7f8616c08a48807a05b9bfba27c71ff1"},"incumbent_state_id":"sha256:dd85343b6d46f2ac037db7b98638fab340dc8355a5bd5b94c396eae401ab0e4d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, -6, -7, -2, 6)\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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3c8706e1a79258bdf074655e3c0f9851c3049851b80cb4cdf8d3873a3b9f328d","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000042"},{"accepted":{"artifact_digest":"sha256:d718e27a3b1c0a32ab8a4374d541cdfc76949bbefcad64341fda94edf1e7ebd9","candidate_id":"sha256:af4f2502c382f8e242b39bdcd0f8861b61feb5165d5c6c29459e30ea5de46e38","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, -6, 7, -2, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:46aa6b745316ef5676af272a4a09c69ef8b6316ae0a3593d7f73da93e69fa273"},"incumbent_state_id":"sha256:2b98cc8546908dcbaf153edc338ad22e0621750a9fe3fe64c08255061918e44f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -6, -7, -2, 6)\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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ecfc30a55ff3d2f79421848c19b43d3fa6b5d47a4d6a550867c63e6fe35c16de","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000042"}],"task_id":"vlr-formal-v2-0000042","trajectory_id":"vlr-formal-v2-0000042-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:e9503474f1ceac2dc3c7c876bebb0dfa1e31b273df28e688aab59ad64a7581dd","sample_id":"sha256:9562e22e9e65b85f7e1a89941db1a7b63be73a55c21b56f2dd2c5775ce490918","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b996f890e6957e665453f97d0e1564c64f486458344b2cfc62c8011a24666c6a","candidate_id":"sha256:3cf3e7658698aeaa706123817a1b5822c37c88506da70828aceb624b5b23d740","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 = (5, 3, 7, 1, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e823d7285710fe2b54cca44c913eb15ea0b7ff798e634499b2c92b0acb5e1780"},"incumbent_state_id":"sha256:68427edc01a92051b22938bd7626ad846db4963726c894bd5736f1a1a2deed75","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 6, 7, 1, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=14\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a866791ad3e87ba456964ab2db20c3800e99ccb877b1c8731dc7f71691171d05","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000043"},{"accepted":{"artifact_digest":"sha256:74592e9f70a114817b7418617247aa496c0062fc0b94c48f59d743568e29a326","candidate_id":"sha256:ee1e043b1ee8fe779e182bad1f04ea2b209ba1f5b8f8db313e1fb4c3c18557bb","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":[1,0,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 3, 7, 8, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:42239f99a13c5da604d3ad95a5a32a68704e63c3b46a07055f69ef52bcc50320"},"incumbent_state_id":"sha256:3cf3e7658698aeaa706123817a1b5822c37c88506da70828aceb624b5b23d740","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 3, 7, 1, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4cace46e56ed49b8bf9c53073fe5cebcf48d5f3b21d671f5fcf7dc96699a3282","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000043"},{"accepted":{"artifact_digest":"sha256:6108d632fee1cb9c029edc44eded8a07c60035994e2848aa452bc62f6028ed97","candidate_id":"sha256:2e86bc4665a260b6545fe46de1cf00a23f4291c67c54d7e89fdbab1f39abe4f2","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 3, 7, 8, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:150d9e98828d469ab462b95f3657191bb19de0482b7f475d303b8134892dd103"},"incumbent_state_id":"sha256:ee1e043b1ee8fe779e182bad1f04ea2b209ba1f5b8f8db313e1fb4c3c18557bb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 3, 7, 8, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:142688ed3a5fccb20a757a2df001791725692f97112769d2b9deb89f4aa72bba","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000043"},{"accepted":{"artifact_digest":"sha256:130ac488837155663b9898fc04b27c9b7c5e20733707b5686810ce01afd4098e","candidate_id":"sha256:68f05ea2b49805241d5411e5e90400b591faa656061b64bb727eec9d5c378fbd","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 = (6, 3, 1, 8, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:363932ce75e7e4e2a7a6c89fb50697ddc9856f27e953d7d5c28bc6ab47f8c01c"},"incumbent_state_id":"sha256:2e86bc4665a260b6545fe46de1cf00a23f4291c67c54d7e89fdbab1f39abe4f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 3, 7, 8, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c1812c697d71fa6f166b28292421408573b5af9b15a54d636194759025c94f3d","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000043"},{"accepted":{"artifact_digest":"sha256:bb6b4227495f40002022357a4919c50a43e7f0eeb8f771ed887a77cf6aa1fe45","candidate_id":"sha256:9af34cf301cd6e4b7eaa5650ac102c979f8df7f1d5b0d21bb258f2990a21ffdf","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 = (6, 3, 1, 8, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3cf68c7c92adcc2315146c6533735805e1f2f5003453a31153c6f999273572a6"},"incumbent_state_id":"sha256:68f05ea2b49805241d5411e5e90400b591faa656061b64bb727eec9d5c378fbd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 3, 1, 8, 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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:982ed57b04d82044889714b7e5d29650ed087436a15aeabf0407235d72806a8f","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000043"}],"task_id":"vlr-formal-v2-0000043","trajectory_id":"vlr-formal-v2-0000043-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:3b1d80d3c6f20bbb53c855e2d9e59b6588704a25f14aae32b8a91081ec79b597","sample_id":"sha256:9c27316b1416ca4db0b1bbcc9fca949f87bb5627cf769c9b117576339f9fb81d","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:51ace123bd3e168002ae56971383f5758c7486f2e94a580ba14befe2628b7644","candidate_id":"sha256:b9c13d8711617d94b412ed69c9e87672f4176f8a8d262dc4f5a9f5d23f0adf4c","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":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 11, 11, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:90062ac1a815079cc2b3711229ed264e76762cf659562a5511939d825eb4f95e"},"incumbent_state_id":"sha256:a3c649c555ea053d8b32e2b60d6fe94280b5d9fd831222f0b50339d26814cc88","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 11, 11, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c07ede33a2b2efde97bbaf52756324055197abb5b0dfc73c46b4cf232af01a80","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000044"},{"accepted":{"artifact_digest":"sha256:115169a3dc0b66b4bb469330173a4fbe79f11a5892cd0dc94d27f732b42a43c1","candidate_id":"sha256:2513505f1a9250d5c84a1b47fbd668d4109534c5cb2c7ee101e95d03f6136522","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (5, 11, 11, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f47aa20026b1fdaf3f9c7b15410eea05331f1df43d50ca6bb2a8cdf54ee6572c"},"incumbent_state_id":"sha256:b9c13d8711617d94b412ed69c9e87672f4176f8a8d262dc4f5a9f5d23f0adf4c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 11, 11, 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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:888fa2ae1b669f7ae78b3961a41a2cf63d681e30c814ea6b90f02d06e4609f54","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000044"},{"accepted":{"artifact_digest":"sha256:4025044294f42860dc8ebcecbbe845ce4dd87a3720696942bcdfb14143b0de76","candidate_id":"sha256:66ab7d274c9130e13a18ce1583912fa001640b98b968f7c274e26bcc32299a1e","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, 2, 11, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:afc14b3101695202945be18762fb13d909cd58a2b84d16c15670bcda0e47eb63"},"incumbent_state_id":"sha256:2513505f1a9250d5c84a1b47fbd668d4109534c5cb2c7ee101e95d03f6136522","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 11, 11, 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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8289c13d2a29f31effdff977c2073798f54c2545a08f703d4d4f3ce06a7b82c9","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000044"},{"accepted":{"artifact_digest":"sha256:1f8c7da51694f6cc09cf754e328b4c8732c6bf71f45b400bb214f9da457609ed","candidate_id":"sha256:b758ccc7df489f1411498310847cd0bbf1242b75e69f6f89c7ea34fce280b950","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, 2, 10, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9bd42215ba4831f13cc4cd515592d56c39fba94ced8f650a24c51607caf60c8c"},"incumbent_state_id":"sha256:66ab7d274c9130e13a18ce1583912fa001640b98b968f7c274e26bcc32299a1e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 2, 11, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f35b02ffdc7ba5d150edfff9d86a446cd63a801ec85e9137bec2763ae094f7cd","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000044"}],"task_id":"vlr-formal-v2-0000044","trajectory_id":"vlr-formal-v2-0000044-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:601a10ef3608c52db1d4f69dfb60d213d419b242c2af149656a821f5f0ba017a","sample_id":"sha256:4ca1e9313082f0e3adde7532410d9ee948be0561d2fcf846ba9423b38479506c","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ca89e5478061dab187afed53b5ad39d3ef5b5b806036530cd1e898379006bcaa","candidate_id":"sha256:7d8b9b293f9842937a4993db30707ff57820502b5a3b95d1eeb3315c9149d316","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 = (3, 4, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:437ab55ccc8e80f094b2956cb02a11e9d771d6f46eeed566c5cd7e19fa364b50"},"incumbent_state_id":"sha256:6161a8f30ea464624e0e90bb3656652fe7c7ada23a9ab0198ff810e3550fac52","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 4, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3e9b6f98ec50c57a972c95e45714250799937a305a4a550285c8dd245a85f656","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000045"},{"accepted":{"artifact_digest":"sha256:fb2162222e9ef602c858a83b028ffdf0a4832a51eba935c1630067f2f4be3e9e","candidate_id":"sha256:25473cb7f0a6b01b3f5e14d8118af1e4b7ae188496cf78429e3c6636a2dad6a9","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 = (3, 4, 5, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4571ae812c799f0d6f47c83511acb9099e025da7a74241b4af168db8bbc363da"},"incumbent_state_id":"sha256:7d8b9b293f9842937a4993db30707ff57820502b5a3b95d1eeb3315c9149d316","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 4, 2, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7b5b8822a4f3fa83f0b44b3f6082a2704d29bc17a081ea329d5ff8b84df176e8","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000045"}],"task_id":"vlr-formal-v2-0000045","trajectory_id":"vlr-formal-v2-0000045-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:cf3bdd38621e1910f1c489f44995efc3b0b32669a3596d8cf9b7588653001f84","sample_id":"sha256:e911a1b376795f2af0788c993d9e6d368c1d31c707aebeab964fb460d2818505","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:faa7d28f96ca7585a55139913db4219e9766670b20b1d227d044ef2291ddbbf6","candidate_id":"sha256:e324b55d121bf3e608886aea58f985ada5d81047675a6d6ef3c453f264207d27","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 = (-5, -8, 7, -1, 6, -8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3387d988f71c7bcccc6344ecc3ec81fffbed6889ade5467a16a05025f2903cbd"},"incumbent_state_id":"sha256:aab3829498a298714e3afca8f6e5ad06de8f718fc3bdd16cec5ccbd2aad37c8c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": 10}, {\"input\": 5, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -8, 7, -1, 6, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1c53decf00c9af1e13df89dcea143e8450e6ae5e8a850403679de5fbac9ad176","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000046"},{"accepted":{"artifact_digest":"sha256:a2c03e3b461aff846596fddd40b0d771671baf768b75fb48ddb794ee1f59514c","candidate_id":"sha256:2841bef71ab6caabfd94ac028e9d7ce523a71d8ea0ceb10e3255e6d35ee302e0","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 = (-5, -8, 6, -1, 6, -8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7e79c6600d0e8e64495258b6a219c07f217aad87192bac0e7c7a70ec78d3ed1a"},"incumbent_state_id":"sha256:e324b55d121bf3e608886aea58f985ada5d81047675a6d6ef3c453f264207d27","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": 10}, {\"input\": 5, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -8, 7, -1, 6, -8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c5005b6803dd4d337c320509496771aa9bad8d9ebab30856e76e30c9dd48a4ce","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000046"}],"task_id":"vlr-formal-v2-0000046","trajectory_id":"vlr-formal-v2-0000046-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:a804485eaf119577dff2b233c165f90daf57faefd1bf87507c0f282f19f39091","sample_id":"sha256:12325c13a1d7a79e07dc1d3e91c9b42abaa049aed5bd4a941c93eefc997490dd","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:92780256c5c23681a7646318c9f5c4457303ac2bd1b8a01bb2c006c48a8d7b46","candidate_id":"sha256:f5d55b93fca89047f7c0e8212dcc5d1476622caf1a68c025d6a472a4ba816525","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":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -6, -2, 6, -8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:84c238d7dfe1bbe23e88c0691d3c3a6f945ea405b64985d48536b1985b48a245"},"incumbent_state_id":"sha256:6e4e470733d3943a1c8d977db319b003b963ec3d1dfdc38c225f7eb9387b1ee4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, -2, -1, -8)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d115746939f3734a310833e13f79fff0c12347a213ce9c80f1e10064402d73c2","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000047"},{"accepted":{"artifact_digest":"sha256:bba7654869b15f6a750f1987aa9a223b349612e92f9e313779a24dc78f3e45f2","candidate_id":"sha256:677b6e553497a577f074f40aad0c4ca195d13a13010175ccc87e807e6b657bf1","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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -6, -2, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:042a36b8e9dddb77761473e127c0e2dd663ba656ba6eede7c5cbf51f1a4abb76"},"incumbent_state_id":"sha256:f5d55b93fca89047f7c0e8212dcc5d1476622caf1a68c025d6a472a4ba816525","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, -2, 6, -8)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3d255453ac6943b84ae68bc9f26c074c1a2b87a6983eb123c58e65908c815057","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000047"},{"accepted":{"artifact_digest":"sha256:fe13dc27c2df595144ea7cd38553ce8a09898e63c2033628b08315ed5581df07","candidate_id":"sha256:6d007242997747a5bb41c14743a93ad1a59892608b7b04a6faf347319cf7fefe","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, -6, -2, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7bfb22d3db598df96ac5b1ca225bb617e5088449dd8fa85b10701705c5ebc805"},"incumbent_state_id":"sha256:677b6e553497a577f074f40aad0c4ca195d13a13010175ccc87e807e6b657bf1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, -2, 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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e6f15b6219a693501919ab2d63f45568408c83bed158f9db4e198af47873545c","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000047"},{"accepted":{"artifact_digest":"sha256:45f4711f98dcc4cfad248a285ff897207a2256f7716885d7038fc8bcfc886dbd","candidate_id":"sha256:72cdd3a513e0074d1f6372e39ef11138065c5d3f1bbc7ec59535f31052047bab","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 = (6, -5, -2, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:66a817e58044f058c48598f698c3050641f9ef7f0638585d82ea840ac35dc132"},"incumbent_state_id":"sha256:6d007242997747a5bb41c14743a93ad1a59892608b7b04a6faf347319cf7fefe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, -6, -2, 6, 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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b948751ab657252fd680a04cb4672a69098af356762899e12f38130071b8c65f","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000047"},{"accepted":{"artifact_digest":"sha256:9fce06ea24a2e5eae25441559af8bbe601050fb0ca9cb5a5310216c5bdbea5a5","candidate_id":"sha256:24910c7c07a0ac31fe568c92607c0ad07211837442db80450e75d5aadc0dd2b0","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 = (6, -5, 7, 6, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:acfcd940fe2f04ac2b891c203d4224f04085b540355ff1722f02bde2a47930f2"},"incumbent_state_id":"sha256:72cdd3a513e0074d1f6372e39ef11138065c5d3f1bbc7ec59535f31052047bab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, -5, -2, 6, 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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6cae6f2a97e277824b33ee4478eb833c26419ab0d5430ba6858a0aa00faaa4e0","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000047"}],"task_id":"vlr-formal-v2-0000047","trajectory_id":"vlr-formal-v2-0000047-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:dac3aaaff48f9d31025c46389258c4ca26b33eb268571584230b5f9ed62cd41d","sample_id":"sha256:1f27e2414665f4cc24ff6e367b01c7d7ebf0e769b45956986d6d7b170d40b308","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:45304017b4e98d1d51caf09a2680484f88a387a89a8a3334eb7b1c53484fb405","candidate_id":"sha256:08c14d4c567a1836b2e90bcefbf0ac3d72327ebfd2ca840471956a4aff7b54f0","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":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (8)\n","verification_digest":"sha256:05103de3ff60947721210565122ab7335465b67ce89c2b85b7da846aa7822eb0"},"incumbent_state_id":"sha256:0cc8b7b9455ed4509d039aa38a458c58c89d4e8c997d73670b77d731b7252b54","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -11}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-9)\n    return x + (8)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:813d8fa214c1e09e065bc714baf9eb08a5c225ea0fceaca493a2b8f27ade7353","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000050"},{"accepted":{"artifact_digest":"sha256:b9f37b37b57977224e6f743da869f2399c65b12698a2f0d44466ebd3a7601e51","candidate_id":"sha256:0a76ca6b19491ab45f4b2cfec8045d99b2e52b97efb7b58b152d931529611f56","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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (8)\n","verification_digest":"sha256:5b7ba9ff0a5ba1a4acf4d11be3b5fbfaa339a064e12f32e6e3add6d6455d2f0e"},"incumbent_state_id":"sha256:08c14d4c567a1836b2e90bcefbf0ac3d72327ebfd2ca840471956a4aff7b54f0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -11}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (8)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:95da2d8774264b7f684500c7f0862feee7a83ff14adc80ddefadaae4dcf00670","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000050"},{"accepted":{"artifact_digest":"sha256:70457e91c499856082051cd10ebb5739df4fea0a9287286e1a48255e848cc0fb","candidate_id":"sha256:d4a0e0add93c34b8600db96da31b6629f35fd45bd3b2ed88f67bdcfec151c833","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 + (9)\n    if x < 6: return x + (-7)\n    return x + (3)\n","verification_digest":"sha256:47be53f6eee6213de1688d4ca48d9a785e077e08ef68ffe6f10df94dbd5eeda0"},"incumbent_state_id":"sha256:0a76ca6b19491ab45f4b2cfec8045d99b2e52b97efb7b58b152d931529611f56","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -11}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (8)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c630ba001c081a6a45284ef1f671e38ad9970c73471bd6d389ebba7d5cd3ae69","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000050"},{"accepted":{"artifact_digest":"sha256:494a3f406bec180e50ae1ca8a04c92f751b65080c505ffb016f29c73ada7c79a","candidate_id":"sha256:0b7e78e5b653274e16486ac5595425b2848009b04434822b46a30664bd09a718","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 + (-8)\n    if x < 6: return x + (-7)\n    return x + (3)\n","verification_digest":"sha256:01ef8676b239be6162b4d2457ecaeafeff455f0d0778e03bde7a0b173d23316d"},"incumbent_state_id":"sha256:d4a0e0add93c34b8600db96da31b6629f35fd45bd3b2ed88f67bdcfec151c833","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -11}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-7)\n    return x + (3)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:72e234a345fff7a65dcefa56a8d186d5d1d0478dd706048388f480f5f1393030","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000050"}],"task_id":"vlr-formal-v2-0000050","trajectory_id":"vlr-formal-v2-0000050-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:1bc8fdffbee79877fc60e8287d16bf1598d9a9106f0c379eaf6f41c4a2cb1c1c","sample_id":"sha256:0085e683b410207c720caf0e1b0cc4f7faee408f467ccd2bffd7bb137e204a95","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b92e781d1e2627bffcdedfba5ee7df16377aaf289021b716dce67804c79bb32e","candidate_id":"sha256:a0415f0b4cc4ee6c97e3dca42696fb31a1cb30f125995ffe37750c23c1877187","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (8, -9, -4, 1, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b8d7a5ce78631dcdc1215bba7a168984a637a018ff5025d05626f1e8c7d1d301"},"incumbent_state_id":"sha256:eac6118fa6aee64d1d58286fc3cd69132a33220829a98bf9aec831feb002e5e9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -8}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -9, -4, 1, 9)\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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fcc12ac80e0e8e9df3e478695ae9969349034a2f4f987fb14bcffb46e834f743","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000051"},{"accepted":{"artifact_digest":"sha256:b85342582547e3647d9fe567f483c12aa7a1be8fc0274a89268ee459be20e962","candidate_id":"sha256:ba6689e644f44ad2d809a17efd550950e627a3ad433b147e7d4aa5e3817d806f","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 = (8, -9, 3, 1, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7efc8bc7d4337f9798d9d5cf9eb532198b08da32adc58604ce1ab65b89c4af44"},"incumbent_state_id":"sha256:a0415f0b4cc4ee6c97e3dca42696fb31a1cb30f125995ffe37750c23c1877187","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -8}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -9, -4, 1, 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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9fc1964d9bef06561e9032a82f20d450a56f525a4b720c68c24b1a5e3d563825","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000051"}],"task_id":"vlr-formal-v2-0000051","trajectory_id":"vlr-formal-v2-0000051-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:27aa8831bc0742c53884bdb08a1b5418d037e20ea35792f6305647b5f42de3ed","sample_id":"sha256:da65037ae6beb48ac07b45f64591a4b88949c67a79995c5dd91e51e14cd46db4","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ac4ef693f03097e29f18684fcb9088ab961d4f5eff79b40cad6ca9e5768cb94e","candidate_id":"sha256:6b9c93db04c44031906b148c8413f5858f22bba573bb83032b8bd64237e8358f","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -1, -6, 4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:259a31832fdb645f518dbb54a89c60587f1e32c7cfeae4bef0a36025a0e9ae73"},"incumbent_state_id":"sha256:d7cd3437d9335a664c8c9a993feedc98e38c29220305feeaf99193605153c8bd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-4, -1, -6, 4, -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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2599146acef14b4b8777d1af0c1a6ddfadc44b59f462f22803c242f522ee62ec","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000052"},{"accepted":{"artifact_digest":"sha256:e3ec055c7c0069bcf0aa771a5b1f7e3f6b9ac5a1b959832ce190e0cd0606b105","candidate_id":"sha256:74cfc727dc7cf6796b8d852f94c545877b55125ab002f99855b33fa54473c578","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, -7, 4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e148dcf9643cf5b85033615980791e8382c6aa6184aec3b4f79c7d8a5f6a8db1"},"incumbent_state_id":"sha256:6b9c93db04c44031906b148c8413f5858f22bba573bb83032b8bd64237e8358f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, -6, 4, -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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:67ba946f874f8193e58931c82db18b1ffaeeccf29b693e48568548259167a785","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000052"}],"task_id":"vlr-formal-v2-0000052","trajectory_id":"vlr-formal-v2-0000052-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:e8f300b421eb1f32cc00a6ead69c401b63f9e523635e843a01828b4218508196","sample_id":"sha256:90f4d178a0ab8753e731224e4e647f9084c4f65d3af41356f152d13710144ccb","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:a20761a1f6ffef7b2aace0886c00dd10d9603c8553d8958b15a087621a712409","candidate_id":"sha256:7d7891af9d77f1dbf450cc0f29c58484736b5613fbe55fa140a5810a6a8e2673","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":[1,0,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (9, 7, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8d4224e887e814283271d9ada63212eb14d99d5d1f0ee487418d27da8571e9b4"},"incumbent_state_id":"sha256:0da66fa0fa501a57bacc9b1f16f4841e675b7ac8ee2c291a200e7ac509d7c694","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (9, 4, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:be2d45bbf9cf19ea829f5b3afca6c4d15e8ecdbfcbf0debf949026d8c0df37f0","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000053"},{"accepted":{"artifact_digest":"sha256:1983e4f0ee31ca5ef5cbf70b3e6ff3af1d4738097179e69863dc12523e469698","candidate_id":"sha256:e69982852722727394b5d8594bdc1e35b2c8ab2aae57d9cf6891254073db0fe6","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 = (4, 7, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:860709a5a769fbf329d5dbde352af1ba7cd810454c6326d1d5ce9f76b3ab275f"},"incumbent_state_id":"sha256:7d7891af9d77f1dbf450cc0f29c58484736b5613fbe55fa140a5810a6a8e2673","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (9, 7, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:49ff0c7367486dff319360e7310ef670fce85feef4773be5ab258b964ca7c78c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000053"},{"accepted":{"artifact_digest":"sha256:ac22d35e280018ea7a86376617caa3441944d6925d2f8d2b8577e7234fd4444c","candidate_id":"sha256:76e4ea6cd2964361d3654990384e225d75e02868f787257f76cffc2290cdc5a4","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, 7, 5, 1, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:fff461e08daca6659d0d458bcc6dd04d9d7567d3af232577fe243d7b8fd1e19d"},"incumbent_state_id":"sha256:e69982852722727394b5d8594bdc1e35b2c8ab2aae57d9cf6891254073db0fe6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 7, 5, 3, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:64fe43648020cdd5791b4aa751107af9c8b93432c3663c90d122ac2bd99ba502","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000053"}],"task_id":"vlr-formal-v2-0000053","trajectory_id":"vlr-formal-v2-0000053-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:dbd37a105294e177c376e59ddb1221bed7c9c55ced0094ab5e3d40031c787990","sample_id":"sha256:fc5fedd198bb2b5621cc56412d719d7e0d9f86e0cba14fe474406df2682b76be","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e3ee117cab0f919edf0c420a137b963c4b1519ce570dcfeb1e0c70fcae889731","candidate_id":"sha256:e48664ef1ddfbaa3d8e029394832e914775d443f4ba6a9138226f5352d213a3d","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 = (12, 9, 4, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9e82608106eca767387ffa42f4bd3b255008b4756f2a7eebb504435fbaf7e122"},"incumbent_state_id":"sha256:6a14508b7a06ffff0f7f155060f88d41e8026db4be2de9577d56412c105e424a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 9, 4, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fe0823747ee1161b3bd5167bacc47b170274c78d4fc1c11f26832d8945729a79","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000054"},{"accepted":{"artifact_digest":"sha256:89a2db165d9fc77f98a085f331eee8636394307e4a9a5e58029a642e233ef0ea","candidate_id":"sha256:dc5c0fabff7a8a3112963947ad763527de479b9532e5e2f9e16beb58f2ca62f2","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 = (12, 9, 4, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:aff898aac41e5582b37e6bf7e398f2344163d1c9b2427ae7235807a4e69307c3"},"incumbent_state_id":"sha256:e48664ef1ddfbaa3d8e029394832e914775d443f4ba6a9138226f5352d213a3d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 9, 4, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ad5c889a2b88722075a56dfd94644fce4c8ee0548f428f4cc2045870bcbee0b8","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000054"},{"accepted":{"artifact_digest":"sha256:1372e6ffc715f5b03e8a7b2d8083d35de5dbed6d76b5b7c1ee1e2dc3b0107619","candidate_id":"sha256:3d863399c1cbf1353371790204f0d781b67aa6ede43e9f71efff971be1d97b02","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 = (12, 9, 9, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:375533a1e28d518d901bff35f09b86d108f5791c407b470274c83a4936487528"},"incumbent_state_id":"sha256:dc5c0fabff7a8a3112963947ad763527de479b9532e5e2f9e16beb58f2ca62f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 9, 4, 11)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8e91eeb5ad780b7593aa629a9ac451491774d6a98a54fd81c215b5e073d9b497","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000054"}],"task_id":"vlr-formal-v2-0000054","trajectory_id":"vlr-formal-v2-0000054-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:f071e4e8da779c699d0c05d80190d4a402587d6c38040d46a040fe28d41269dc","sample_id":"sha256:fb06bae85dbd8d1a4b252d3121b4660f07debb755f39f0a569de2f5ed815c717","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:004a65409458fc85df439a501d0239d24a502fe12bdaeb19865ff1f1f578d0f8","candidate_id":"sha256:3bec5f494d0d63362e8e8eb71ac9574848d5af47da275fd2fb249df26d715ee2","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":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 1, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:68125f594671d00cc81072bb64aa6a30b337525695c91056d135d389a2a70eaa"},"incumbent_state_id":"sha256:69e455899663605851a837eb05ef2033724d2c42bf648e454402a7d2d5ad15b0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 5, 5, 5)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a1a825f0755e8290b1e30c89df70af035447c805a9cae4757a2c24ab54ea78d0","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000055"},{"accepted":{"artifact_digest":"sha256:e5e312ccaf7f4426bfa97a3b43ee28710d8f410efd689fe4a6f018de912ed5cc","candidate_id":"sha256:206083dbfeb6dcd7dad0e4f57c220c18e88fae43a49acf014b082f79ad834f87","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 1, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:27c423f2ea530afb6dc81d461c82e81c6241a8959bea35af25980f9d4e394087"},"incumbent_state_id":"sha256:3bec5f494d0d63362e8e8eb71ac9574848d5af47da275fd2fb249df26d715ee2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 1, 5, 5)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9f5fc887d6b9302a11d0338fff2ef9bb54b12484fdc036e245090976e9603bad","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000055"},{"accepted":{"artifact_digest":"sha256:e3d0a8b738aa3599367fac0b49447ffba2d2871a2e87d365c9fbd03446443820","candidate_id":"sha256:ce2925ade92bd68cf1e76677763389bcc06a9197681c528fecb4e5ba6101a0af","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, 1, 5, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:d47d2e8654cb8adf9d84b097cb604da9903aa21f716897b927048f89df3f9459"},"incumbent_state_id":"sha256:206083dbfeb6dcd7dad0e4f57c220c18e88fae43a49acf014b082f79ad834f87","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 1, 5, 5)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5c23fbd74d09d6999858369ee551f57a06d4725744250e73418ba15239495181","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000055"}],"task_id":"vlr-formal-v2-0000055","trajectory_id":"vlr-formal-v2-0000055-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:958c73f5a3756322f23a8e3e5018a1b0eeddf55262270af07d8100d816f220d4","sample_id":"sha256:9f26be8f0670d61851872a401bbf0ab3708c7a6873b02df6a664000223ce2242","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e190899647b8db3f0449a58f278cce95e39ae18a4388125e22de4066949dde6a","candidate_id":"sha256:8520a4449ad43afa0b2cc4afdf23c0f0b01b8b1ffb519c3ebfcf57bbd3cc82ec","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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 3, 6, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:50227542e260b66cf5d2515cb7e32c89f62726220eba37255e243020b0f1b8c3"},"incumbent_state_id":"sha256:8f2d87114421c784a95930811a0b03088f801e064c0dc9562fbc17a91a3b181a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 3, 6, -1, 8, 2)\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_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cdcbf1c8e13632199c4556ea31668a20f0201406c2e2a77f363d2f409f9e1992","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000056"},{"accepted":{"artifact_digest":"sha256:a8c3ba6a3bfdbbc51d76415683c3a1798a4431676f495f572592d728fc982ee0","candidate_id":"sha256:50d30924f9cdf2d76bee12c1b394b1f4156b9de42bf166e93a756b59ba49830b","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 = (5, -1, 6, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c0282d29366331f7c7059926fcd241a93a37153d968c44f8e1b41214d13dd2ae"},"incumbent_state_id":"sha256:8520a4449ad43afa0b2cc4afdf23c0f0b01b8b1ffb519c3ebfcf57bbd3cc82ec","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 3, 6, -1, 8, -3)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:11375f6fb86d416db8a245a29e9f6a57770e8296fd3d9185396f08cd0b01acad","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000056"},{"accepted":{"artifact_digest":"sha256:3b37d16fdce0b649a0123b76c49cb59c43946b43c60791334e6291b11671af69","candidate_id":"sha256:22f39c52d5ac924e6544c295fd3e0da51ac8164b87aeefe3a9c0dab7256ade1c","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, 2, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:05a051d23ea9550dab548b4238dca7c834450bbcd894765aeed5b50ef7d39ff2"},"incumbent_state_id":"sha256:50d30924f9cdf2d76bee12c1b394b1f4156b9de42bf166e93a756b59ba49830b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, -1, 6, -1, 8, -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_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2a681b42561b934f42f96429ad5aa799b21a9159151a839a17a2752913b12264","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000056"},{"accepted":{"artifact_digest":"sha256:7fe56b17a961761feca7b69f99c04e880a27bc71b50726bd16476ce6f2fba1d8","candidate_id":"sha256:800c57fac5cd0547903ef9b4225ed3e2ac12317d96a3b6a02e30ce1cddf2d4b2","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, -1, 2, -1, 8, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3b2bddfbd290b4135a2af3e8819b6b9c4a10d0c415c1df85f088562fec27afa8"},"incumbent_state_id":"sha256:22f39c52d5ac924e6544c295fd3e0da51ac8164b87aeefe3a9c0dab7256ade1c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, -1, 2, -1, 8, -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_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:296f2e4c19b13031fac240d89d04744919bdada31897949751564680b74dd1fa","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000056"}],"task_id":"vlr-formal-v2-0000056","trajectory_id":"vlr-formal-v2-0000056-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:0c271f50902110ddbd421552cbf281af28864bbffa953d8d899cc02501b2b141","sample_id":"sha256:7484282f8732f4f7760af54bee688ada5d38bfc2ea3d239948f830366ea2eba2","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:6091069a843c1dd9991316b0b763f6cea4ac53f331367d498cd2688179e8dee8","candidate_id":"sha256:ec44847045b5d91ffe129b3941713bce49330c8329e9663ecaae7202db864672","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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 0, 4, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7b029d27f142c46b4512756208910bc9e9dcdd078dd99f2f85299c8e14c84f16"},"incumbent_state_id":"sha256:1ca5e8741db0afc7b59d1c517531d3ff1e887e26039edae800c939b3bfc0e5ba","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 0, 4, -5, -2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:df3d94a35ee107c236c9c10e762b866b25db7150284a5452315fcd738d0e1e12","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000057"},{"accepted":{"artifact_digest":"sha256:07a52c54b11ccf36d6b9dae59a4897f034afef5069c018cd40e09c001ad9cf6d","candidate_id":"sha256:8f6c8bdd408a9748e96f9d4e1f107a681d37051ca0aef34686e7dd592a16ae40","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 0, -5, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c50b9cc415be4779142a0e4e10811c39e7dee939e41de408dd7b398ca6e26c2d"},"incumbent_state_id":"sha256:ec44847045b5d91ffe129b3941713bce49330c8329e9663ecaae7202db864672","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 0, 4, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6e2b9ca4240de0cc0315b3aac3425815522059a417adafda4250440045f16376","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000057"},{"accepted":{"artifact_digest":"sha256:9d65a1cbfcc38466f753a588b3123992c537a2003ee4ffb4f193b5bc9c2fdcf2","candidate_id":"sha256:e82de7663c86eadabd2a4018188572e4a385214b142e628f39b19be34433972b","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, 0, -5, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:eea126c369f0cb6af92ee73135193441a59ede6eeb140f46fe7b6989cec511f6"},"incumbent_state_id":"sha256:8f6c8bdd408a9748e96f9d4e1f107a681d37051ca0aef34686e7dd592a16ae40","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 0, -5, 1, -2)\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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f5c8e0958fb49e2754fc7a875b6eae131669f65802efc6b16e20f5561da5af9a","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000057"},{"accepted":{"artifact_digest":"sha256:5bc795a16cb881c4ccfda0ed138f3ef6f0337104fa85584c6f12d954a06e28ce","candidate_id":"sha256:0fbec7588322098f12263c72449703ae88438bb1f9fb03ef7a018d4dba431a28","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, -6, -5, 1, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4acfc92fc91fa002b2697ec9e2221e520848e2cdf0afc7921a97a71ff79d68a7"},"incumbent_state_id":"sha256:e82de7663c86eadabd2a4018188572e4a385214b142e628f39b19be34433972b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, 0, -5, 1, -2)\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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:74e0e2a4cdd0992457555fe2b831dde654039f117dc2206087fb33cebe4964dd","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000057"}],"task_id":"vlr-formal-v2-0000057","trajectory_id":"vlr-formal-v2-0000057-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:d1da70ccdbe924d95fbafa71911b3f7dd2067d0889abeafc0608fb8239d7a2d1","sample_id":"sha256:7881d1d7534ec4e4e2b2c6641a564bc406ae211c6458f3e182cb6d72e018065a","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:0036ded3f656c6c22abae7b02eb90c07bf27d26d91080365e473baee02511640","candidate_id":"sha256:7f33c58d8471f6ef053fda338b19ded0f651f703462f320a44703a6f5ff9bd18","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":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (3, -2, 7, -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:f3213a9c0cdb35f4f873746305dba368f14fd8570f082a757894586266de8a2a"},"incumbent_state_id":"sha256:0e7f83c789ff6e359ea7b3e2ba1dd0f259a5815a162f3ba25c3f0f9acdf87129","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -24}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -7, 7, -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```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d97359f45d957d29f6ecc01f542eb62227b2601cfb3afee0ad6bde4da9788922","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000060"},{"accepted":{"artifact_digest":"sha256:d3e1a128455dac688f275331511927b291f35c14d0106aafacd077bb2a6f419c","candidate_id":"sha256:083a2b50fd06d2781fcfc614939e369a0ff4c0487a6e5cb71b3daa8336730b12","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 = (3, -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":"sha256:665b69446deec2eb92f242e0fca53a28f70c86c32270871ac6243ba724f9fae0"},"incumbent_state_id":"sha256:7f33c58d8471f6ef053fda338b19ded0f651f703462f320a44703a6f5ff9bd18","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -24}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -2, 7, -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```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cc5dc75c959df5fa29b9040d2c98f4d49c21b2f94cfb20a746b306c7a513c0f4","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000060"}],"task_id":"vlr-formal-v2-0000060","trajectory_id":"vlr-formal-v2-0000060-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:675088c25c375e7f9dfae1ea082aa739b13a3ea643ec4a517aa150ef870f97d3","sample_id":"sha256:5588b8d87dfef568c275d4361b357b0dc6d7092e5368f77e306fe8444cd15b8f","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ce95c2695e5a7a4ce6e97b5f401627dd0ca1d1b7f3867b8fcc8fc074a3daef79","candidate_id":"sha256:5abad575a37946500129cca8098e6027a0a31bf2177e1cdde9dfe88b67551136","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 = (3, -5, 4, 0, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0c275826e00d58f3082c6f80ea2bebe649bc60ba7f64f80322de0ef5dbc28583"},"incumbent_state_id":"sha256:36513397ab27d4375fede244a021276dc65a90f3d620ee7d87c82a436a745c15","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -5, 4, 0, -5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e1abd7fed47d7a084fabc42c034d70da926f6094267768d82642cfba83c709b3","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000061"},{"accepted":{"artifact_digest":"sha256:5a5448f063ae09cf73897df71446134085a796440dc27eebe8f273da90924542","candidate_id":"sha256:673f5e57f6896167d5f1f459de870e3573d2c17b862aba7004096fd4a523170e","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, -5, 4, 0, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7c338dae6df6c84955848ece621e042430604c44a574d4dad741b5ab18d0b010"},"incumbent_state_id":"sha256:5abad575a37946500129cca8098e6027a0a31bf2177e1cdde9dfe88b67551136","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -5, 4, 0, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a614fb424fae6342a24e016f51a1d96031c692fc2bf9dd741b5f39aa380d5e1e","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000061"},{"accepted":{"artifact_digest":"sha256:931667c71ebfc4e1a166e85243caea3d1e0e1d7065b371e419b665d106d14a64","candidate_id":"sha256:760c58b400771bf9e50ef59d1684673d260827a92300e095e2382fb09d8f3b7d","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, -5, -9, 0, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:e9fbf8499a5bcb966b3f9525247ac67b230ce2092948a55941c0b902ec40f885"},"incumbent_state_id":"sha256:673f5e57f6896167d5f1f459de870e3573d2c17b862aba7004096fd4a523170e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, -5, 4, 0, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0d5ac0a6bb9d11c408469191cc78be92e842c851ffb285bba29118ea7b9e6f8b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000061"},{"accepted":{"artifact_digest":"sha256:9c6c3790c08da66509b43f5a5ba2309540a34136a5e1ede3bc5bd2265df5ac12","candidate_id":"sha256:3b70462225d1deab4b0a987955777a55adfcb510410ead525d38ecebc18fc757","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, -5, -9, 2, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:e4dcd569605ca3caeb4183604b296b52e8eb5cfee1b9d1c609a0044a016db8f6"},"incumbent_state_id":"sha256:760c58b400771bf9e50ef59d1684673d260827a92300e095e2382fb09d8f3b7d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, -5, -9, 0, -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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2b21c5cd326be25487e8246686c128126b0d34086f578411dcda68505237538c","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000061"},{"accepted":{"artifact_digest":"sha256:47faa291fa76698575ee484862d1f62d547782e09685faaeeace08ece4098d05","candidate_id":"sha256:4e6ce743f5e028a6e8c2d54f0d5c18afec0273938aac085dc298af9dcf3f3d3c","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 5, -9, 2, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2266c5e708c3a446ae3e3a9d1aa6b456eacd09b3b853a0ff36811164253d38c6"},"incumbent_state_id":"sha256:3b70462225d1deab4b0a987955777a55adfcb510410ead525d38ecebc18fc757","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, -5, -9, 2, -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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:63d66796d9e7fbff4508e9ffbbc0d8e2b138baa1ed0914f022bb283944fa7261","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000061"}],"task_id":"vlr-formal-v2-0000061","trajectory_id":"vlr-formal-v2-0000061-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:6576cad8e1ea4b046f0df8278dbddfacd8530670ebbad10ddcd1783a169940e3","sample_id":"sha256:fa814aaceec04e3d64ed4ef2957dc6ebfadc2d5258c3cb96be7d8fedcd143199","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:fe37529e7200472a5a2676c8a8ac986860efe400cb832d4640b0b5f8c1877e8b","candidate_id":"sha256:654c6fce5fda195419c69451e91fe10c4b67f6f6bfaae2c64db9e3e90ef082d9","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":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, 5, -2, 1, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:74712bd27f0ab9573ba8981499fa10aca769dadedec3483b9b36eeb26e94c2e7"},"incumbent_state_id":"sha256:ba7a73ba14e7b846016c20dddcf03647f0e752f7f251c22ad2b865168bef5d97","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, -2, 1, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:59410c2d6f18581c4a771220daccd20400b967f0b6ac522d672c92e12119869b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000062"},{"accepted":{"artifact_digest":"sha256:892f35d6a03b377f81515fe5aba7d1cea486f7dcf7d057b2e67c7217dd92c0fd","candidate_id":"sha256:28ccb0e75c3b3b5ca9548f5e745c39c48bc08e89796aed598e8052da38ba81e9","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, 5, -2, 1, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9b83953ea8c2cf93b3f08b33307f71f4578085d8fef9ce52658e17a722c70486"},"incumbent_state_id":"sha256:654c6fce5fda195419c69451e91fe10c4b67f6f6bfaae2c64db9e3e90ef082d9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, 5, -2, 1, 3)\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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4fb8e9d97b860ed524451223da591ca88508f23cf14b4c2b838dcb040ebdb4e0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000062"},{"accepted":{"artifact_digest":"sha256:3100806f4bb59d337b0f23c6e3a9b193ca813ceba54087a22605c674102b7324","candidate_id":"sha256:929d2aae9ca875007a86d3e983746b77e8530831c5d6978d3d39de1395282386","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, 5, 4, 1, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9fff79723d88ced49b7b878801551b694f807fe90b8890fbf963910a0411b611"},"incumbent_state_id":"sha256:28ccb0e75c3b3b5ca9548f5e745c39c48bc08e89796aed598e8052da38ba81e9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, 5, -2, 1, 6)\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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3e46f0d6e1bd9e67b46c072202d2ec17e11177a59af332622260a40a53f05726","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000062"},{"accepted":{"artifact_digest":"sha256:794099deafd95a73e32e95e650c38033c90d68963d9064700c91c35cb6c99136","candidate_id":"sha256:6ae24a21fc67aa6ed7d1b86c29e13ed39b85efdfbbb27d36fbf74e29130094f1","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, 5, 4, -7, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4229a83435d49a50c0b527257c29680ed7e9429cd4c2443b38a37d47059a4f20"},"incumbent_state_id":"sha256:929d2aae9ca875007a86d3e983746b77e8530831c5d6978d3d39de1395282386","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, 5, 4, 1, 6)\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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4e1f028f359d11b9da833b60b0620460fc77b3a39ef83f1650ac8f6d01bcb999","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000062"},{"accepted":{"artifact_digest":"sha256:892311828da0a386f17b649598554dfa54c1f9809e4b95a616e96ea918d3437b","candidate_id":"sha256:a35cb20a6888d4887011cb0a7d7f03a344746a6b6b2ec1f7b640641a7dbee3a2","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 = (0, 5, 4, -7, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:532baae2893f72c1924e97970e5b86cf3aa37a22321968ec0bfca98a3cf06956"},"incumbent_state_id":"sha256:6ae24a21fc67aa6ed7d1b86c29e13ed39b85efdfbbb27d36fbf74e29130094f1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, 5, 4, -7, 6)\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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fa78786482f320d9ca0aeb9198ca68abd50fab475e03c8452ca3ba47a477cd89","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000062"}],"task_id":"vlr-formal-v2-0000062","trajectory_id":"vlr-formal-v2-0000062-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:6b48339c39e98620d9f471b8f5b7a889301c9fc7dc0f1345230cb917a9ac61db","sample_id":"sha256:4380841e6b04a0923f75e9c0108c90f2220189b495c05064fa2727df5f988e33","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:8fa18fb8636a27b436508c01fbd71fb67a97c1566cbce8c83dba519bb81d9968","candidate_id":"sha256:ddd45986f21745cea64e1a978222d3351546da1c7ed52a0c73bcbd35f1c10b78","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (8, 7, 1, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:255e08236293663610f6d77284c51437d12ffd4a4fafc7544fb92137620eff00"},"incumbent_state_id":"sha256:e785a675c7ed0c2270bff1a4ce91e77143a11dfb8bd3c1264d13499b8f331ae8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 1, 6, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:816bdcf5775879791b0088931c78f462328a60328ffb29afda82c47d7f166505","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000063"},{"accepted":{"artifact_digest":"sha256:01635b965e276aa323c3273644718790e66af39e05c0a1ae0f9b58070bd9861f","candidate_id":"sha256:d499fbe859def4d02d373d57e58554268836e7028a444c1f6ac0a6c775d5a027","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 = (8, 7, 7, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2e1b4b092a502762dabfee51c0795a476d47afa11f572494cc4dd0728865c67f"},"incumbent_state_id":"sha256:ddd45986f21745cea64e1a978222d3351546da1c7ed52a0c73bcbd35f1c10b78","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 1, 7, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ffc73c21b6ca4d3532906f41c8dcaaa10aaa9d7f474df9360e1580a6a3a859e3","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000063"}],"task_id":"vlr-formal-v2-0000063","trajectory_id":"vlr-formal-v2-0000063-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:80b32fe561984de536ef32dc9856e5aa6c4fd88dbaa66537b9ab902454581a2f","sample_id":"sha256:850d5fa2cccff6828820ca44ed788c16a0cb4f082d567c4648a757a0ea7f3eef","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4612f15be15848f5d2c0f5ab665202cef60b28bfad9264f2d8f436fda9e786be","candidate_id":"sha256:9fbc0dc21a859f04da48f975b1475acc8f6dd4ddc40ea360b947be5c78e524aa","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":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (1, 14, 12, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a36bc90b401d0830ee54270cf9e6f1cab8c04dd6e678fca316822535ff40fdcf"},"incumbent_state_id":"sha256:42c164d054ea9d5ccc082cdb211a0726a6c1255336bb81425de1d4c78bd40c33","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 14, 12, 8)\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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ba997a72a1e2ae6ea8f0382679fb7a6033d016a35a8001a2eec6a9891dac0ec0","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000064"},{"accepted":{"artifact_digest":"sha256:1b6aab1b1a775e29018198de07d40716455f97d82627ec0759d9c29d0111bb0d","candidate_id":"sha256:1d2ca3cf8708c729e627abcb27d7bc17b26eb82d612ec6b43d07cf2a79af552e","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 = (1, 5, 12, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0bee98a3db96339002f71d5f6fe3b6afef8d2b8188406c52af97a2a09171dcca"},"incumbent_state_id":"sha256:9fbc0dc21a859f04da48f975b1475acc8f6dd4ddc40ea360b947be5c78e524aa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (1, 14, 12, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:864612fa4af82a8908fb99c0ad403e4c87937fbf696a5abae4cba356ed24122b","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000064"}],"task_id":"vlr-formal-v2-0000064","trajectory_id":"vlr-formal-v2-0000064-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:d8ec964f2b8864e7cc7e0ca27c391089f37673ae82fbb755c55d45c5e7290155","sample_id":"sha256:39a2e34ca3718d27570a9baba42b96f26270daec24283e69909f203f9938d8e3","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:d74f051c4dc39b3140a57367c228badb8e54092c71b91cc73b5038f7e7e3012f","candidate_id":"sha256:be909789f4764a6d5ec7eee5c7a39ef1041a197dea67ca975a35465f72dc8feb","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 = (1, -6, -3, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:faab8041d3b48878996d748d8e81ec90df181def72c9691f7f039552a7880bdc"},"incumbent_state_id":"sha256:c8db0e965a84a432252f83b4d5e9ade1098a39a0d21e49d64389cdcdf5214d38","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -4}, {\"input\": 4, \"output\": 0}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, -3, -3, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0817078b44282a599ad48d949408ecd7a6263fd2c2590b2f1a16fa7bc8ed849b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000067"},{"accepted":{"artifact_digest":"sha256:5c0c7b12467dadb61319ae27bfb807eee985f6667ea64884f091a3e83863e572","candidate_id":"sha256:1b848cc003f8d3fe6135c6b33652ce6ce03a5e6dc3093b9c28cdc3e97ef2f18f","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (1, -6, -4, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:793410640cde6878a5b767b960221be3861ddcd8711cd79ee0131ac9a84703fe"},"incumbent_state_id":"sha256:be909789f4764a6d5ec7eee5c7a39ef1041a197dea67ca975a35465f72dc8feb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -4}, {\"input\": 4, \"output\": 0}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, -6, -3, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f217b384835c043636afa4d94689276fb96b11c197f94ef733315da6c1febbfc","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000067"},{"accepted":{"artifact_digest":"sha256:97aead5313348e7d26708579e47391770cade4e1229b7dd32041733b8b9c9b82","candidate_id":"sha256:1f4e714a22d4ef33d9a0569c353a6d2268833f22915a093f3bc643cbac805051","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 = (-2, -6, -4, 4, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4ff45e4adb533c5ae61dcf3a667a60e0f0213f08d5f20e048e896aff1ca1c6ce"},"incumbent_state_id":"sha256:1b848cc003f8d3fe6135c6b33652ce6ce03a5e6dc3093b9c28cdc3e97ef2f18f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -4}, {\"input\": 4, \"output\": 0}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, -6, -4, 4, -5)\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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:138e018a2e09f12f32b3f8c1d198b92bfd2197682748ff0a9f8ac005e7385af7","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000067"}],"task_id":"vlr-formal-v2-0000067","trajectory_id":"vlr-formal-v2-0000067-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:14c7c761ef7979f8294dd22a1812ea7f435ac0699eb6e10df5063699e28cb161","sample_id":"sha256:61f928862c85049eac4a32669b875f400176b5a425f4f521b53b1602bb121d5a","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:33b5e3750f3b6de140c8d7aa9e75efef77a358d0bb577d8bbeccae2772bd0a35","candidate_id":"sha256:03ce41b3e539cea654ca8dd9c299d5627416830a708c29fd121cc68ee91906b1","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 = (0, 0, 9, -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":"sha256:349593108e15050a1cebccc77a047ba2b74f08d84f8a57aee8d4c10eed6b418a"},"incumbent_state_id":"sha256:cf6aac24a4caea94b2866c97c03ec935b9d44e7c6009c011568cec9084588445","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -27}, {\"input\": -3, \"output\": -3}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 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```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:935ad6849d70828176e7641e6e1e07516750ce9fbfcc8015973d05b1906c25fe","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000070"},{"accepted":{"artifact_digest":"sha256:cbf63355a78b3e5f0ab7e7e35bd245b0242b378c773ac5da0bbc49789beabf38","candidate_id":"sha256:5435cdf33ef809f691d3fe0c41fa04eea900b2d5ab030633dd759b64ff9f864e","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 = (0, 0, 9, -8)\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":"sha256:33184b0bf7787435b8cb1512064106a9d51babe895c422fdecc2ace0f66c0b3e"},"incumbent_state_id":"sha256:03ce41b3e539cea654ca8dd9c299d5627416830a708c29fd121cc68ee91906b1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -27}, {\"input\": -3, \"output\": -3}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 0, 9, -5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a774710affe688c208da4948b01f707ceb2928ab0ae0cbd531c407a9625a6687","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000070"}],"task_id":"vlr-formal-v2-0000070","trajectory_id":"vlr-formal-v2-0000070-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:4d9e0b3b49328140ddc83bf3752c2a49f72a182f8da257bd867266dfce36cb66","sample_id":"sha256:8340b68bbc264b1447acc3dd2ef83816590bfdc3dc4973b3a0a131de79f601b1","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:65bde93b87ed4c5f991179b42b4994381b86067c8d72e437b5dd4a2a98f8809a","candidate_id":"sha256:8997513ad9d9793c2f64aab01d7f7b8d76f463297487d9e9182e19545255d317","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":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, 2, -2, -4, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a3ce7689724ea82937876ea68167748869e37998d9643e45fa70a1198dc2eb45"},"incumbent_state_id":"sha256:2681ebfbd16468f9b19a772153f46bc07a4cfc8149863e89c74cbf776e8672d2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 2, -1, -4, -1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:50d574fab6f9abe7126d2df5ce06119d006c40fa13de995feec933cde0183465","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000072"},{"accepted":{"artifact_digest":"sha256:9abd779bcb1fe97a6080294a24d9144d2e6efe32bf1319cecdf72aad6e14e75f","candidate_id":"sha256:89ae266392cf7f0853ba8e353b2796d22f1075096d57c6f0b358cd1650a4dd8d","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":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, 2, -2, 6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c5262865fd9af01b93823c5918afff0bec307402994c02a01846a46757c58591"},"incumbent_state_id":"sha256:8997513ad9d9793c2f64aab01d7f7b8d76f463297487d9e9182e19545255d317","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 2, -2, -4, -1)\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_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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2a9b6a7f7a4c55442a2c9b8a43fa52369e8323e7272b23b02423df3a4970b863","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000072"},{"accepted":{"artifact_digest":"sha256:b3aa20bea942e7cd01c1e4d7b3c1bad91ad1d9239b81a9c6f10c02233f30d67e","candidate_id":"sha256:9cdbd25d78fb547bb459b655e13ce21ed9be2283d5e953bfc3ac26af055b93d6","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, -6, -2, 6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9a4aeb4c9589d5bf93ba87d3fbf704dd636a01c35e2f8b45bd51c9ee54a949fa"},"incumbent_state_id":"sha256:89ae266392cf7f0853ba8e353b2796d22f1075096d57c6f0b358cd1650a4dd8d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 2, -2, 6, -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_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_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b9544bf27e11a1fcf633f12092c33ba37690edf572e94f7970d5fabb3428746c","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000072"},{"accepted":{"artifact_digest":"sha256:2bcf7943c05a58712a098e397ec7b54183d8f483632efbbe73c58d1a8f14945b","candidate_id":"sha256:57852e00ed45b05ea5635c37556f18392d1077a18f1b41a068cb1a0f3f102341","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, -6, -2, 6, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:153ee68190eeb04bc50f40647c8ec3fabf9b0de5dc2600e5fa709d11eace89cd"},"incumbent_state_id":"sha256:9cdbd25d78fb547bb459b655e13ce21ed9be2283d5e953bfc3ac26af055b93d6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, -6, -2, 6, -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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2eecdc5409a14be812af18e8ce69b6e68d5bb706e52294b96cd02c0a520723bb","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000072"},{"accepted":{"artifact_digest":"sha256:d0098410fa9b13a130f861c2e93f29f5fecb42ec39ffb7a3634fe960c9825b71","candidate_id":"sha256:2daa97714d33e1063ade6d59d51d34df761674a5a66c14ffdb310815f4dfb37b","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, -6, -2, 6, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b00507e0d7ac28c4ced9ef5592abe26773ab477c928e932421684a76ef2c91ea"},"incumbent_state_id":"sha256:57852e00ed45b05ea5635c37556f18392d1077a18f1b41a068cb1a0f3f102341","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, -6, -2, 6, 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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bbeff95f47e0fa7c66a3a6ff33934511b7514d0bfa89e0cbb3e3dfdbc94e6dcf","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000072"}],"task_id":"vlr-formal-v2-0000072","trajectory_id":"vlr-formal-v2-0000072-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:716e53d4295bf0113db73f8c8769dda5c11ec05777aa053b78019c8321ddf78d","sample_id":"sha256:8a53eeeac608b57470b530d76f2800790b45e3aaf437cfa2bc819d3860020c38","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:8091fe561b1b16f11c89df3f1ed019dbb115caa2edc32da1d8da1f35aa65c3d7","candidate_id":"sha256:e9c1c18a38b5446a258fcb392d004719024ec17fc512fbc5912b8b8ddb1de510","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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (14, 6, 5, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d8fba879c8192013a4a75cb6884d0b54579f16672aeac33c86ec6339f2e065c7"},"incumbent_state_id":"sha256:dc664004916853b38d3c7a0f18f9e47f5842801ba2448da49a291356ddba486e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 14}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 6, 11, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\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\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3ab9c69ded86078df90ab2edaacf23a4d9c6ad0af9cf47fcf4e781c0267f3b82","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000074"},{"accepted":{"artifact_digest":"sha256:494d318e4697d3ac9f5c4ecc24c60067c23fc42a31a09e22812664aef2c39d48","candidate_id":"sha256:7a08762afd94648358805e8e6160aee27718e512ff68e975d32a70ccea03accb","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 = (14, 11, 5, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1f3348b917b3a3e893c77d2f29506d0a29be349f0bc6269fcf53e7c487b495dc"},"incumbent_state_id":"sha256:e9c1c18a38b5446a258fcb392d004719024ec17fc512fbc5912b8b8ddb1de510","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 14}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 6, 5, 2)\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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2979d427e53d4644c7fb12c4980175753d60abd2b3630958d7d0994024f4054c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000074"},{"accepted":{"artifact_digest":"sha256:185a98ea2c699e4196f409b6b68eedbf2658a15e4698fb216da1848b4c6c290b","candidate_id":"sha256:d24cb92a539696420712ba4667b76d50e52cd4105f6cb1955e51d162d38c00fd","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 = (14, 11, 5, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d7abf05208b59214a7e4880fd07fcf5402e291c5b41005243cbc73fa317fa722"},"incumbent_state_id":"sha256:7a08762afd94648358805e8e6160aee27718e512ff68e975d32a70ccea03accb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 14}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 11, 5, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c7735cf13d42f26c4ebfe58f8b4afefcc5b9b09daa3fba3551197635df0943cd","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000074"}],"task_id":"vlr-formal-v2-0000074","trajectory_id":"vlr-formal-v2-0000074-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:2469b31d2702b1ab988dc92947a8bb9b250d7e03ddac1ddf996900bdd12f4231","sample_id":"sha256:126f7c624eebf9e13290ff50db99caf9dfe301a4c2eb35b9c5b58bb5cb376b56","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:61d85218e4b87fbe6a1fdb5c3e9488d81a59ab1ae8217d928f4254964b36fc16","candidate_id":"sha256:92939ab75f43f730d9d0c94bea2f1bdbd3dc58a746d26d584c6e38919629b3bf","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 3, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8853139ff0f1fd5dfc3d8524e80425dd0b42786e59d608f736909a8850d9f19a"},"incumbent_state_id":"sha256:723be90e6d0ff2604e642b7feb026695c2a0a7f5374777f9921e84a0035cb075","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 2, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a9198057ac5b9f7243e8dcad7ec310b88a4729ab05d358cbd51481842105734c","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000075"},{"accepted":{"artifact_digest":"sha256:708850ab8fc71cbd501485b8554d7c97f487e0fc24f3af837817e39de362caa7","candidate_id":"sha256:0007406c2c93baa2015be9d70e94b5d5c5cac4253e6aa525c2e239fbbb3de1a5","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":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 3, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2fb6e68a0a02be755e67ffcff7ea5c947ceeb0bc8db08a58d44d00c3436b8e9c"},"incumbent_state_id":"sha256:92939ab75f43f730d9d0c94bea2f1bdbd3dc58a746d26d584c6e38919629b3bf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 2, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5d1b3b46c93267729a88a4a83b3c105b7fb5aaf9038fef88a4f642efefdcab78","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000075"},{"accepted":{"artifact_digest":"sha256:28373056d16ba3bbb85b0bdab96d25a0f8549c86ff22b57e003f9b888656ae64","candidate_id":"sha256:19a2011ca774ace4c42280b7a9d8a34abe4a6c742fcfad9ba1fb6fc0c4b656bc","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, 4, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e0b123dc62937cf28f666d75c721d99d50306ba70b47b4879d34f2bb37a7bbf0"},"incumbent_state_id":"sha256:0007406c2c93baa2015be9d70e94b5d5c5cac4253e6aa525c2e239fbbb3de1a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 3, 2)\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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:92c3c5e9bfef5aeabbfc842f9cdd4309aae55dc154fee1720add90907175c5da","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000075"}],"task_id":"vlr-formal-v2-0000075","trajectory_id":"vlr-formal-v2-0000075-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:860567530b1711f1d369ad488477509725a2f8a502dbb6c83b8010090ae3ffb7","sample_id":"sha256:556befa008f55b38a4dde94929fc90844fd957341c9eaa82fc686a83388685cb","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:8d41f36c15156e7a91872bad88ec68dc33e80462ba593f006fef9d5022eade35","candidate_id":"sha256:c4fc0cd8bd552bd00a1e51b47343ac97d0387d06b8e3997579c324fa812e197e","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -7, 4, -4, 3, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:380ecaa44789305fd49b4acc64cd442b889c36c0d3db05b72fea4358dff22676"},"incumbent_state_id":"sha256:e01c8c63371f5367b2328022d1225bf0d9377ffb361f75502fc18a8097ef0eec","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -7, 4, -4, 3, -7)\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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4ec24a6d178df67a269cf65dddf7d17a10c65a81ac73f123e37df66f45dae5c0","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000076"},{"accepted":{"artifact_digest":"sha256:db2093ea19eb520fcf654faa3a142c08e7c6d74d80e53ef7ef8bc5dfb3605296","candidate_id":"sha256:23a853284b869f2341a725119ce5a756bdb49e0cecf0f01997f15859c86f471b","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (3, -7, 4, -4, 3, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:bcefbc87becf43e41d9357c1b7e6ac6b8b7ee190a9521ec4d3971e1a18be54e2"},"incumbent_state_id":"sha256:c4fc0cd8bd552bd00a1e51b47343ac97d0387d06b8e3997579c324fa812e197e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -7, 4, -4, 3, -7)\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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3a7597965af9f6717e35530bdf9f7df94571892ebf236e2f457aacdc18b46a09","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000076"},{"accepted":{"artifact_digest":"sha256:7e78845ad16923822a9c75e33114c8eac7fba287faf7d84536696d85e621f1f5","candidate_id":"sha256:3e96671ede9161b76eda5646f9e876cf5268f556b35ad956a3f4755b81ff8d3b","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 = (3, -7, 4, -4, -8, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d33160736afcaba39ec061c33c490b02b71191ce4727aec1ebe56bfbc788af91"},"incumbent_state_id":"sha256:23a853284b869f2341a725119ce5a756bdb49e0cecf0f01997f15859c86f471b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -7, 4, -4, 3, 8)\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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3f67e14f3ba14e2d91f4c0c2fd5808d97f85d123e3eeb8b9e8a75713a12be612","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000076"},{"accepted":{"artifact_digest":"sha256:52522e3217f56ed56f1597a70c66335983d667b98af1809890749b750601a972","candidate_id":"sha256:51162d55dd3eac0f1e525e0ec6942239fbc8ba93a82e989e5902b6aeb8a5b9e4","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 = (3, -7, 4, -3, -8, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3e722450d0895048d3ccf3ea0b22a7d21b3c46a490cee8e2dbc62ab81689b31d"},"incumbent_state_id":"sha256:3e96671ede9161b76eda5646f9e876cf5268f556b35ad956a3f4755b81ff8d3b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -7, 4, -4, -8, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ecb71af372b1bb195baaee4850b5ac6e01b3d7ee80374c3d527ba012ee73147d","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000076"}],"task_id":"vlr-formal-v2-0000076","trajectory_id":"vlr-formal-v2-0000076-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:0521d2b5e084452b6e249f117b1630f1918641c45b947d6cd0255555ff85f9f3","sample_id":"sha256:2443c67bcc10b1d864f1afef088e5a32ce88fff59ac5c72e68192d34e69c494e","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:bdebaebe7faae1e228d6812ec92f84e5b66bdb7803d74e3d9f1eb3492bb3a85e","candidate_id":"sha256:64a3d51969275fb2edb9f202d57ac58ee8a93dd6dcf7b9b18b23c255447d220f","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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, -6, 4, -2, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:44addbcf7087cf980f13037e06de091b8a5acf3f9d3643b8f16f7ae4541c89a3"},"incumbent_state_id":"sha256:c04ac67e7b345a1dc9690658dcc2e4f777f4fc9fc78a3c1b02a57cf21454499f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, -6, 4, -2, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b9934f354c2bde408086be56e4ad1a299a109717db3c6dca7d68cd5e007c5335","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000077"},{"accepted":{"artifact_digest":"sha256:3f648caba543511cac277538a2bf5e671eba551fbbe6e184f74a3e625949b012","candidate_id":"sha256:1fad35ead75add080140c9a5cd6f18a22ab26cd76f2dde8b3b4aa524f3355fb8","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -6, 4, -2, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:81b5544a5ab591a22b58a9533cd3e5d1443064799762a051d1ef97631715549b"},"incumbent_state_id":"sha256:64a3d51969275fb2edb9f202d57ac58ee8a93dd6dcf7b9b18b23c255447d220f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, -6, 4, -2, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:65a0a10f4824cbe797901eaebfc88b11c590d3b8be5835751f0d9df0f15659f8","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000077"},{"accepted":{"artifact_digest":"sha256:658cfbb2580b9ee8c8bae79bc2358bdf7a5d68fa6dca09627cd4e4b488adbc6a","candidate_id":"sha256:876f621b0bd3757827117aa59e5258a3aec204eee9e317183eacfbd43df39edb","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -6, 4, 7, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c88ce521452cb21ade3281ed1b08e0fd606930860698955836cb3d5865a6bc3a"},"incumbent_state_id":"sha256:1fad35ead75add080140c9a5cd6f18a22ab26cd76f2dde8b3b4aa524f3355fb8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, 4, -2, 4)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:21f9d78a18278967b9df5ef59759052b7e088a308dc20108714b2f83c5ccf861","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000077"},{"accepted":{"artifact_digest":"sha256:08c2887a969ec919e9d82f8c8ad8b64e2be57a5192055d46fcd8423dad443e12","candidate_id":"sha256:fbfe513e2b416c4135b7352ac08a5ab691836bba52908fdad8a1b073e595f107","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -6, -6, 7, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4e23fb889b9de489c59bb3c0f2aaf67e5705e42e09cf7e3a1efde74f53d7823e"},"incumbent_state_id":"sha256:876f621b0bd3757827117aa59e5258a3aec204eee9e317183eacfbd43df39edb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, 4, 7, 4)\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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:14f6656bd6b8dc1199c6733f80f9244b176ca4b057034daf17f35644e185af75","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000077"},{"accepted":{"artifact_digest":"sha256:8bba9c1d19535bb721e20377a351d01b570b931a9bd283d5e66c3161d3e92a5a","candidate_id":"sha256:feebfc81c8dfaab75a59c08ebbd12755b3bf5e8925804c92c9485b92521b438c","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, -6, 7, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c512ed278835a90a9de2a12e8d25d88b41c80e3f5ddbfe80f66e658c62da91bf"},"incumbent_state_id":"sha256:fbfe513e2b416c4135b7352ac08a5ab691836bba52908fdad8a1b073e595f107","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -6, -6, 7, 4)\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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3c4b776f78dfc47883d1670fd82a427e9370c715bc94d7bc4020fd309b35ef7c","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000077"}],"task_id":"vlr-formal-v2-0000077","trajectory_id":"vlr-formal-v2-0000077-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:8bd9164c51fc5da431727f5ca5f7db880a02c26956cc831565c2aa017fc6c5a6","sample_id":"sha256:baa52a9be733e9ff5c9c5ce07b7cbdac192bef9263a1b3ecb75808d8bbc21806","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:3d420ab1c26d64dc27bb6d6c7f29de2fef4815605ed05440681a0bd323ace6a0","candidate_id":"sha256:b29aecac740e07753e05e1d87e8ac1fa968420f674ee8877a56d5874e5a6b6f7","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (5)\n    return x + (-5)\n","verification_digest":"sha256:31785151d2bdfef743b7881f462563d31e6981900d29568a541cd6d816cc512c"},"incumbent_state_id":"sha256:e64dd1a7d34859dcc8df1e9940e5469a282f8746b2172807aee202b10114d6f0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -18}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 8}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (-2)\n    return x + (-5)\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_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:24b603e3cf613bcf953ffc40ad0a65636309d20498dbabd9beaf21d5550ac356","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000080"},{"accepted":{"artifact_digest":"sha256:466e979be8d2553d4e2e9b2120975bad3c54ffe80174765323a8c114881e9b77","candidate_id":"sha256:0066bcaa20fff44595b5d9b86f00f4a2bc066c776b0026f9bb9aaa84e4749292","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 + (9)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (5)\n    return x + (-5)\n","verification_digest":"sha256:565d323493cb0d075af81c97e2ead4358649d24abe048a4bfad5ab2a6043076f"},"incumbent_state_id":"sha256:b29aecac740e07753e05e1d87e8ac1fa968420f674ee8877a56d5874e5a6b6f7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -18}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 8}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-1)\n    if x < 6: return x + (5)\n    return x + (-5)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7e182f3e553d0961cd6901bf376140cc793fb4fc1a3611ef01f59d73cde19855","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000080"}],"task_id":"vlr-formal-v2-0000080","trajectory_id":"vlr-formal-v2-0000080-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:f84cc5ddf0700f31f22bd31d031c6154f0d52e765d782bf168862af9c2b5dc45","sample_id":"sha256:f662b3fbf4e328d3dc0e04fd390ea7e3a6c524e20113d926ae30ad603a947913","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:914a6bf0a011fc1690eabdf6c13450966219fdec6051b4ad661dd5afe3c5ce92","candidate_id":"sha256:28b436a6b94d4380c70791b17f4beeae8361d57ecdf2f8f638510530eecaf112","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, -3, 3, 2, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ea22a4b0f3eef38b1b31145adf14ad50f0904c55a1fd50529b719936dc579931"},"incumbent_state_id":"sha256:beba1242407b12676750f9c50f66749539a9e0eef3647ba8707f989a2bd195a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, -3, -7, 2, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\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\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e8e5e570e6409ae96b6515901e34612fe139f25e45f4c353892c832904fda9eb","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000081"},{"accepted":{"artifact_digest":"sha256:0159b97570a3b9aa739979e551b688f8ddb6883eec19652a69131d5f78352af1","candidate_id":"sha256:8c310b80fac895df80d597b50a6fca45f3dc9c6ec6f0a32d10c635143e5a40a0","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, -3, 3, 2, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2a9ffba8fdf82cb6c82f37cf655a006cfce9865647f9067a54c6ecf59be16ff9"},"incumbent_state_id":"sha256:28b436a6b94d4380c70791b17f4beeae8361d57ecdf2f8f638510530eecaf112","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, -3, 3, 2, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5bab67d1c2d89f8eefecb453304396d6fdbebc59cf446e13052920c7f1e1d744","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000081"},{"accepted":{"artifact_digest":"sha256:1ab781ad740552af2c68ef35d3f6582f4bf17a18b48ac800ca63c9cfdaf812a6","candidate_id":"sha256:82b61861aeaccaae53a9e15cecb0e0b833e44467dbf8fa82277ef0329d7f2002","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, -3, 3, 3, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:df936dd823cab88c30c599169c60ce43a07ef6e5cd0bc42b13c3ffa5700f084e"},"incumbent_state_id":"sha256:8c310b80fac895df80d597b50a6fca45f3dc9c6ec6f0a32d10c635143e5a40a0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, -3, 3, 2, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:52b356ea9b89453466f443fedf0d44858089f1cff1d7441de3b1961c803ffa39","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000081"}],"task_id":"vlr-formal-v2-0000081","trajectory_id":"vlr-formal-v2-0000081-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:0bebece7cac175ac8f205c323a430aa8ab65eeb9fd4e247b5d1feb0ae19803f9","sample_id":"sha256:cfaa9f724de22cc7016486758f00894ee30b754bfb668176c8376be31a9af46d","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:468e899ba2e4ab95050f53cdafa6f57a9674a5e258e0318e35d02aaa28c9d3f8","candidate_id":"sha256:7894121ba05b92aee7f2cd15c971bdcd5c23760fe9d421f86cfc098e8ac0795f","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":[1,0,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 9, 2, 1, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7459583c96825e44697c721cda47c0e8a7760442a30d820b658a6019c6e4624f"},"incumbent_state_id":"sha256:c9f773d2767e966413c8c6476f4cdd12c62be809346af91deba8f887cb385ae1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 9, 2, 1, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b86c1e2689b9a653acfe11b6bd29cf63e16ca684a65ebcd30317d5498e9fb4bb","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000083"},{"accepted":{"artifact_digest":"sha256:c9e1ff7db5e23c69700687e30136940a6b037a2c58cd364547bc75be32ff64dd","candidate_id":"sha256:dbdb5275f682d23006d1669ca03a209ec741433327e3f1a149d56dc84697dd7f","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 9, 2, 1, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e6809fd0ba8b474bfa9652d7896d7530d02510649a3b0b18824ce715c2e738c3"},"incumbent_state_id":"sha256:7894121ba05b92aee7f2cd15c971bdcd5c23760fe9d421f86cfc098e8ac0795f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 9, 2, 1, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:25e5ecb86462564e5ce284d10ae16a7bb87ffee041f2c2678fd45325b4a747c0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000083"},{"accepted":{"artifact_digest":"sha256:117e27897729195e4d157aa88a7b62ac9292acffe9b629646667c289e44e3e06","candidate_id":"sha256:acbdb63fe7a9fc96a2d50523c975273f49cf0a81fa766128e191d01b0045c5b2","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 = (3, 9, 6, 1, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:019b1421406dad905803b9e0689ac82079c247382ab7365b942e0c8b875d2234"},"incumbent_state_id":"sha256:dbdb5275f682d23006d1669ca03a209ec741433327e3f1a149d56dc84697dd7f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 9, 2, 1, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c5c16b700ae53f3501d85d55b244836746d15c343578260b7271767d8df444ab","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000083"},{"accepted":{"artifact_digest":"sha256:4fde87be9f6ceedf16515fca2e305a2f643d11419787c1c6c38a0b0147a97dd6","candidate_id":"sha256:8265b0a5f9fffdb025cc729e78829f9553b86e9bb9b1592d9c5f29d664858f88","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 = (3, 9, 6, 2, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:5f664e91ffc99332da352841148143a0d7204ee32eff1656f60e4ad6708450ff"},"incumbent_state_id":"sha256:acbdb63fe7a9fc96a2d50523c975273f49cf0a81fa766128e191d01b0045c5b2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 9, 6, 1, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:47d0a1e4ddb1694733a5b51e8a5a24af1490ec35b428d8590319ea407140fad6","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000083"}],"task_id":"vlr-formal-v2-0000083","trajectory_id":"vlr-formal-v2-0000083-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:aa5eb4f672916fdf3a926d28b4d8317405bf5e17cd6015b9bbf549078f293ca5","sample_id":"sha256:3adf17a6261be60dfed9ee667d6a057bed79db6f296670b43db20c350d8b0638","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b4041947f750bcab8d0247921a56c615b3f59e0d92457e5d8be26fe74e5546b7","candidate_id":"sha256:b9f9006903004a7551ff5e266c7ef18d5c5e211ee502b87d7d1ca5430204671e","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":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (1, 13, 2, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f6dd2796751086ad6cad611cfe37356b63c2dd4274b3f131f6fd8ceaa8cdfec4"},"incumbent_state_id":"sha256:e667b1d641e6ed8e9c748deee5a029c3c558a464fb45ca51605535523fa139d0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (1, 13, 12, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d73ed269fb5506ffe127a6e3e476113109e23a3822098141c85c3f58fd2a5ded","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000084"},{"accepted":{"artifact_digest":"sha256:43aa80c3208e621a78eb558bb26a6d2adec84c002a5ad86becb6b9d4541a4333","candidate_id":"sha256:4012a389061ecf9aca86bea1f6ebed13681834db21dbdaf45f818409cfb2b7b9","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (1, 13, 2, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3a64e0d839a7ceb953ebacb7cf5178a200fb38314e43804dc703083a8ea0c0e4"},"incumbent_state_id":"sha256:b9f9006903004a7551ff5e266c7ef18d5c5e211ee502b87d7d1ca5430204671e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (1, 13, 2, 8)\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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7237b87197ebb4caac78fa01196618dbfc169d40e970a6cafe72f3c163921682","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000084"},{"accepted":{"artifact_digest":"sha256:a10025571cea9fc28208bf8f4889f92762039c0f9624308d8d2bb510bed32aa6","candidate_id":"sha256:c1e1ca673c60a000973b8e13256928400ec31ad924d2abd8e74aa312dbf4408d","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":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 13, 2, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4d4b614866663a95bd66c3ed32c6dffade1dd67dd5bf3f73820e1f9d69aa6aa0"},"incumbent_state_id":"sha256:4012a389061ecf9aca86bea1f6ebed13681834db21dbdaf45f818409cfb2b7b9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (1, 13, 2, 4)\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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a19e5e2f4a4a4a2c12c5beb3e57a54d58a4a9a057eb83279a59e82f8452e8120","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000084"},{"accepted":{"artifact_digest":"sha256:d8fefe10309df772b27f996aa2236ee96ac107dfd7dc05cc55baff68b56e3320","candidate_id":"sha256:88a943fd98a09dca3a495b04917eea3b0399929d8e26cb028d6695f1706faed2","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 = (2, 15, 2, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:13ae152501ca380d21dd8551a56e63b179a15722380f56d75528c90ea3febecd"},"incumbent_state_id":"sha256:c1e1ca673c60a000973b8e13256928400ec31ad924d2abd8e74aa312dbf4408d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 13, 2, 4)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b9feecccb15b3cd07295be1b40839cabc7f11e6320ef7b462cc8cbccc6655ab3","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000084"}],"task_id":"vlr-formal-v2-0000084","trajectory_id":"vlr-formal-v2-0000084-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:1f8ec29ef3eb3786701fd8836be8e0f2ca7d7ec0251a0fca4e955c4715d24c9c","sample_id":"sha256:095d22180261add83029486ef8808357c62bb89bfd93562a690cbaca8de21ed5","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:7d4400ce526f23c05dbae94ca82a69629bd0df2fdfc42c832375c4cc14fdf388","candidate_id":"sha256:646af57318b0ab413f5f8ca6df157ceed55a31751e27720f6a13a491ba95d9a7","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":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 3, 2, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:372013301b88dcd429940741cea05530e52bdbb939e40cc8ba5733c19e82610c"},"incumbent_state_id":"sha256:6f6d9823c4be0ba63db8c84ac586c3e9df9d1cebe4aa2569fc479af58577f378","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 3, 2, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6792b03d66a6d74e2c040371345ff30ed334eb7bb8ea61034bc1caf7badfae18","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000085"},{"accepted":{"artifact_digest":"sha256:3d8205f4f1ade4c143403356727e70cd53537fa9de4daa959620d32bb5cd8845","candidate_id":"sha256:a1a6aeaeb3fb9ec8320ca3cbe73fdfee138a7964618e4335434f4de6f68623fa","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 3, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:0e1a15d2c0a86b5f662fdf8f7850a65a1842dd25113e142dda169429a759a8d5"},"incumbent_state_id":"sha256:646af57318b0ab413f5f8ca6df157ceed55a31751e27720f6a13a491ba95d9a7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 2, 1)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:689add0cf1d6bfafe8eb5ee6cd3206821753300e7e9ab4c3aa4dafc45b100dea","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000085"},{"accepted":{"artifact_digest":"sha256:2b0058d463eeba50834ec6130aee312a17969f3d6421440f0bdc887ba01ea195","candidate_id":"sha256:21712570553c3a229a3a029e2f1781f4ee526a259ca3d4b1f36bba2f0ac02d25","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, 4, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:79039038317586804809c9f816b39f16f258c66b7d36b0f8fc1c5520f138f46d"},"incumbent_state_id":"sha256:a1a6aeaeb3fb9ec8320ca3cbe73fdfee138a7964618e4335434f4de6f68623fa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 2, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8161ca5bdad85193931e21553ea1d983eb91a948b9526bc3fee15a5428e7e719","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000085"},{"accepted":{"artifact_digest":"sha256:43b97d7cf30cf3f38bb0628a267af0d092cf26a9e46717198021cf9c068f07b3","candidate_id":"sha256:6b8d4188dfdc62ab56a041cc11bdafea86e147237908a4f84f2076da3afd7cf1","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, 4, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8f2f9bc6036586f04bf42cf8d8dca2eec41fe1ab47dc36b5f8cf4822426c0a26"},"incumbent_state_id":"sha256:21712570553c3a229a3a029e2f1781f4ee526a259ca3d4b1f36bba2f0ac02d25","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 4, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5d14a975e37c7a540bd96d59e40aed92b1957b2262cb727a5ff92c72a85f7dc6","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000085"}],"task_id":"vlr-formal-v2-0000085","trajectory_id":"vlr-formal-v2-0000085-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:8f2299bd2f4d97bd0ca5cbf20c6c1a2acd159b8d42f87ad720fb43fe2d5fce22","sample_id":"sha256:84a6b7f79f134a45aa002a1134c65a4e3c7858856036e59ce077f05b87fcff88","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:f85c7b30610831a199e476f54b0bf89bdee4f3fd7104efab432341d619128230","candidate_id":"sha256:701674ef73b52bd3e2be960369770b9df0496588dc8acecafa820a57a9cbadf2","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 1, -2, 3, -8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a520a927abbcad039e3678d7c00f314e31eb5f2f030d6e8dfb2cb0494433dc57"},"incumbent_state_id":"sha256:70e301b0163aa9199cf34a7c8f4d0cba291c6d0dddfe3b56d76e27afe89f6865","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 4}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 1, -2, 3, -8, 7)\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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d7eef2ac6660641b33528ffa8e8bc873e7200d9440a966f955f0ff94343e6737","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000086"},{"accepted":{"artifact_digest":"sha256:78981e48b10893ade4cea6facd1de954acfdda7a59edf23cdc4660bcb31494c1","candidate_id":"sha256:43ea594bba805021e51a2d6060693fb934ed60ab636b7bb4848b5988a0abc1f3","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 1, -2, 1, -8, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e518bc0c7aeda843cc443a48d97a39203c847e669d26ca98f548eb76fcc3ca62"},"incumbent_state_id":"sha256:701674ef73b52bd3e2be960369770b9df0496588dc8acecafa820a57a9cbadf2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 4}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 1, -2, 3, -8, 7)\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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4366b10223b9760fd2380f5db8beabd118afcd8bfa93a6ba4deb4a8943909975","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000086"},{"accepted":{"artifact_digest":"sha256:de5c4f0e9beac9f3707bc76229a43280d431f559ade28f1ddeca891c584ea79f","candidate_id":"sha256:0df59afb498ae10a705b0b138295fe2d1fa11735e0cada4e53e50d5fc07f8a5d","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":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 1, -2, 1, 1, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4bb4b34b679b722c46cc4f6c0f4ed2561a32ca438a6976b80bd24d1008098315"},"incumbent_state_id":"sha256:43ea594bba805021e51a2d6060693fb934ed60ab636b7bb4848b5988a0abc1f3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 4}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 1, -2, 1, -8, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d4329c65bd9ee0a8b380cde7dade8b4cd671ff400d68b59191975037b8eee8a8","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000086"},{"accepted":{"artifact_digest":"sha256:fa018198eaf9e3b432f1ad5ee47aa21c4ec85901d7fd6f529e4eeb7202c9d054","candidate_id":"sha256:1fa46d677a5d23af0f371ea1c4a97f29470c88a0be41b673442e7b6a0e36d22a","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, -2, 1, 1, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:8fd38ff3ac99e1cea827be6c13c1370dd4b7ca99c709e8657f9968fdde749675"},"incumbent_state_id":"sha256:0df59afb498ae10a705b0b138295fe2d1fa11735e0cada4e53e50d5fc07f8a5d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 4}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 1, -2, 1, 1, 7)\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_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c8213646809d84b2b22df3e74c2065f38861d0f42780a1c3cc9db899d0442afd","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000086"}],"task_id":"vlr-formal-v2-0000086","trajectory_id":"vlr-formal-v2-0000086-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:bb54c3e47be058d94ea38c89bf2176caa698fb4cabd4f1fee005eef007ea2888","sample_id":"sha256:b0a0c3d70664b2c9daa0fecccddad4f4f6f97c1ae1a26c456699d7ab4ecd437e","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e4fa170a07bb8446adbe89eb8dec11257f33eaafc6f099fc866fe88a03c61b8a","candidate_id":"sha256:65079fe826c199a569366a975a702e328843ba4b1715e493df69d389b458e0de","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, 5, 7, -3, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ee46ff00982211f249e0001d4f090bb0c4997c36494d1598d38fa7146e3cebba"},"incumbent_state_id":"sha256:0d5114c84917a286070503679e0f0c3efcbcfc655632be50de170ff3452655f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 7}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, -1, 7, -3, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b914edf7abd4c0533e176f1531dc7111c63b990088c29653135a6933936801e3","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000087"},{"accepted":{"artifact_digest":"sha256:7f340ce6a67283ed097d99a455fe75b0415fc224441403bda5fc959019abbc4c","candidate_id":"sha256:39fed2453706f2c149be048b506a3ce242affce012aaad9047fd1d6f2e7d197e","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, 5, 7, -3, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ba5c761a249dc5db583f5431a70d788babc72a69f14adbd5cdbf533ca59ad8b1"},"incumbent_state_id":"sha256:65079fe826c199a569366a975a702e328843ba4b1715e493df69d389b458e0de","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 7}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, 5, 7, -3, 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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fcd6b829b6e6ee753a33aa734b3747ecb0541824b6a29c27801533848a1134b2","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000087"},{"accepted":{"artifact_digest":"sha256:2aa04e71d9d156180ea30ec28f023fd2b0bba02e3ccb45b950a5694f06af83a5","candidate_id":"sha256:ea7cd49e3d55b8325e43595d06b0ba20fb6bab9f7253cce07443762e124703d5","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, 5, 7, 7, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:abacf5a53611a9f10c76bbb90be23893559d16c5af7154c816f8507287e177cd"},"incumbent_state_id":"sha256:39fed2453706f2c149be048b506a3ce242affce012aaad9047fd1d6f2e7d197e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 7}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, 5, 7, -3, -1)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ceb2f1ad6afedc2596ee9b4e04e6e10463991e99d2920503b1220d2a683a14b6","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000087"},{"accepted":{"artifact_digest":"sha256:e3ee5ce64d2e5c1cd1e22da399d2081c871f89ae8669b2ad647c6f04ec717ec4","candidate_id":"sha256:0c1dda05e1c5e457752968f59ba44b5c92e91351d2254d5d71918d262ff17849","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 = (-5, 5, 7, 7, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a1489fb72d44ccbd1fec8a126063bdcc3861d3380c5c874eaae84223510220d2"},"incumbent_state_id":"sha256:ea7cd49e3d55b8325e43595d06b0ba20fb6bab9f7253cce07443762e124703d5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 7}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, 5, 7, 7, -1)\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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:74b1d4c0d2805b12c86b6b544305b12ad0c41f739183b717c7cda4a623e93b1a","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000087"}],"task_id":"vlr-formal-v2-0000087","trajectory_id":"vlr-formal-v2-0000087-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:1405e39109577e0acfa4a72b0c9c24ebf01bf799bcad2c99a434fa891344680d","sample_id":"sha256:b6e8d98793f01c0692de1020b7e99b9a8f0e2763e5e40a126c2d291e031543fe","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c10dc15dc2d55954d9545989d0a25052e6dd78ae3cfbe6997bce327edeb0f4af","candidate_id":"sha256:14d091b4a95aa1c4fc2df76b6e9cf1747899937b95584b65409c75be603d1e01","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (-7)\n","verification_digest":"sha256:655ef95d30152b94d6176e1507c428f22715002fe20b3234343a73327be0d995"},"incumbent_state_id":"sha256:c9ad2b1eb85604f4964a6048270ca2ee4563a1f136b4428e6dedca12985b665b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (4)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b4b58c76300476d208dc1fb7eadb4a3f48c2a4af7cbdd1a6fdc5ea2fa1f4e045","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000090"},{"accepted":{"artifact_digest":"sha256:2695f4c52a69a14addc03b5efc821451f2e4524b96d1651f07c4114880781278","candidate_id":"sha256:02086847b5bd42827b645e9883da00933ef2e50e137fffce64258fed1452acd7","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":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-1)\n    return x + (-7)\n","verification_digest":"sha256:1c24cd4f4e5122985cf5ae4157d6c331a0b6c743254be2b1e54534f7b661a7da"},"incumbent_state_id":"sha256:14d091b4a95aa1c4fc2df76b6e9cf1747899937b95584b65409c75be603d1e01","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (-7)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:98989744fb50e684e167d7a5f6ece7ce2a4fbd72cb11a990f25c4bb36222bcd4","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000090"},{"accepted":{"artifact_digest":"sha256:24d2d094ce392882c8a666a9c37169d4b18abf20332d1c6f6a1bd75fca9a49d8","candidate_id":"sha256:1907212c903ce4b14a4a93759f6a8c8309459793aff6f924bedeafdc6e5abf37","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 + (-1)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-2)\n    return x + (-7)\n","verification_digest":"sha256:42bb96c211510df32512e5d6e93ed2e99176c14a622a78bbfad7d8f0f35d828c"},"incumbent_state_id":"sha256:02086847b5bd42827b645e9883da00933ef2e50e137fffce64258fed1452acd7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": 0}, {\"input\": 3, \"output\": 1}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-1)\n    return x + (-7)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8a52def24e68797ab3b0d4890cec0a74684c5f40259cb8492251900044e8b6f8","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000090"}],"task_id":"vlr-formal-v2-0000090","trajectory_id":"vlr-formal-v2-0000090-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:9927d7e29a6d40aae1bde9d2b600bd29197816ff7b41dd2f071edb72e3d01a90","sample_id":"sha256:804b95e19befaa1eace5dfecd910ebbec2bbbd9f688d5e3862648095e0949cc9","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:86ce4eae9be5c848121ccca357ae96984d5f01675f24b2ca62e87d498913c3a8","candidate_id":"sha256:916d1cf8713d1cf908a1dfa7886e9c6b6abc11d647ade3a859093ec285b7cc8e","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 = (-5, 5, -2, 5, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3c4a26aaed2837868a69beb6cd9f6e4cf7ad459e185a018528ec85dbeff1a911"},"incumbent_state_id":"sha256:c6793980bdfbc50a5f82a7c8d4009ea30484ae90e2d23087ad43e0a3db196190","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, 5, 6, 5, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e6c670196a71a5a897b8d88881ccd37dd2ab6fa391b63d6ecd0fd0f9d595bfc5","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000091"},{"accepted":{"artifact_digest":"sha256:271952a1f479be16284c893723e1db3ee07988873f04a68c4b194e17b2d5e59a","candidate_id":"sha256:1cec464e7a7d30094facb9ad214cab0ceebf011634680732af99b85699c5a582","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 = (8, 5, -2, 5, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7cefce3f69c1a1a7074b5984528295ab671fbb2c85628f87e06596c9e9d9674c"},"incumbent_state_id":"sha256:916d1cf8713d1cf908a1dfa7886e9c6b6abc11d647ade3a859093ec285b7cc8e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, 5, -2, 5, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d0165230b2b44bea3d18fa7e912d0d48cfe69c397940b33d654d7c69dcf858df","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000091"}],"task_id":"vlr-formal-v2-0000091","trajectory_id":"vlr-formal-v2-0000091-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:2ac653199f9f9999e0c6a039556ef68f184161680f94295deccf4601877cec34","sample_id":"sha256:6e223ae54db08c0293bc32779b7cff3e1a799109393ceb7ea3a5a27063b58b10","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:5b47a26611df6c116024dc4a77b16a4cc63f0519b4cf3f35b7b6da42b3d42d37","candidate_id":"sha256:807cede8d5233f9cb591bb91c4911dd87fab92a53c4887958daab1f67aa20c52","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, 0, 0, 4, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:76a4c63df2f0b646b58151db8b69017132ec5c342bcc30ac123bde4beeb6ca16"},"incumbent_state_id":"sha256:b717cbd50a6c2c49e266a8984f7e4add70fd9f4c8cf8892f29a9b4013a7b9739","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 0, 0, 7, -5)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5622dd16f92626225f9b9b0fd80540ddacc6609d5e53cc59fe827fd7d920bb08","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000092"},{"accepted":{"artifact_digest":"sha256:38e7ee84dd8177abe744c6a9ad6bf73fa8a1ba1fe48d979f950dc75d634fdcd9","candidate_id":"sha256:d4cd2d2ddc7bc3f3ce86a2d5e01bd8212db8d62cd1511546fcdc17d9e64f2828","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 = (3, 4, 0, 4, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2397b789f7b73ba03290474aba6cff7cf5c6c7da880cb84713f59dd7fc942aa6"},"incumbent_state_id":"sha256:807cede8d5233f9cb591bb91c4911dd87fab92a53c4887958daab1f67aa20c52","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 0, 0, 4, -5)\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_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:74aa0fcbff9db8a07b54345522b8a67b6e62aae3c71d468a823beb8c56ac0134","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000092"},{"accepted":{"artifact_digest":"sha256:5b0fcf75f537511c7109e6577876ce1f9c15fe675fa281b9c0215a9bddc65eb0","candidate_id":"sha256:6e3250c71bb6dfd353a48fa9393f17a2534f6e790d0a01f95e414294bff05246","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 = (3, 4, 0, 4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:bd3d0bc8e5b80a4599c530a503a9dd08409caa43716eb38ddbac8063922d5722"},"incumbent_state_id":"sha256:d4cd2d2ddc7bc3f3ce86a2d5e01bd8212db8d62cd1511546fcdc17d9e64f2828","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 4, 0, 4, -5)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3feed6084538879e96c23bd978a5ac4e62d79f6cbccb2cb817e3a11dd76e9e8f","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000092"}],"task_id":"vlr-formal-v2-0000092","trajectory_id":"vlr-formal-v2-0000092-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:71bb08d504e1e29cec5923122437f7b34e12004fbc2c0bc37a44ca32c813492a","sample_id":"sha256:4f35c1b04fce6014947cb11445e89aa71384adff748d85d6189594cbd1926001","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:14969b79764e56b5cfba210d83b80e763e864d58b934decb6408234eb768fe24","candidate_id":"sha256:152697fd8d6ee7d291d868e7d3508884f91e552b06e72f3b3747131c475e0fe7","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":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (9, 5, 1, 2, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1f7295451e41cc2c91f0f2fec85841ec83b3d2b1f9881a3ff197095d3d4f4bae"},"incumbent_state_id":"sha256:231e5b3f57afd303a1dffcf3e3e54fffdc6389bddc426dd7f1348c576a5f50c8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (9, 5, 1, 3, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:430849407bb50842ab9307c75f6173c6c84b5413e997aa32fedd6af921833dcb","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000093"},{"accepted":{"artifact_digest":"sha256:d9781cb665f97d0ffb8eaff0943df88d433ea90c4618e1535bc4abcd9ba69b11","candidate_id":"sha256:c6d8a73bb19717ebd1fdea7edbbaa471b7d72bb1533d235e7090dad3c3608872","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 5, 1, 2, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6ac81f13f8e9d0332deae2c7078dba41095494bd8d31b6d1842aaa73a16929ea"},"incumbent_state_id":"sha256:152697fd8d6ee7d291d868e7d3508884f91e552b06e72f3b3747131c475e0fe7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (9, 5, 1, 2, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9653576ea87475df4471584bb1de87af4deedfaae3eafc67eec2481c3ac9299b","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000093"},{"accepted":{"artifact_digest":"sha256:6a4e75b46e2bc697a54b32114db42bc98be820aa6fd6175138ed33307a967852","candidate_id":"sha256:01f225ea3956f2aac8371fe4081d82ff669ca1f68099eebda70c9a23a07bcf06","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, 9, 1, 2, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b6e932fb471f6fad4c204e4a4474c33c7871ac592cb65b23e9e2460e3558a40a"},"incumbent_state_id":"sha256:c6d8a73bb19717ebd1fdea7edbbaa471b7d72bb1533d235e7090dad3c3608872","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 5, 1, 2, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:753d5762e493928d280759301d148a6818336bf72f0e2d440ca0582eb24b1dc0","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000093"}],"task_id":"vlr-formal-v2-0000093","trajectory_id":"vlr-formal-v2-0000093-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:143e266b160359b462e7e9083a3a50d3801c8ed50b9dcec6c515a02d9d6f779b","sample_id":"sha256:4d97a6f4435cce5f6aba5c0c871682f48e6f41695c66973258b706ef1a20fcbd","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e0da0aa98f177d4165c0395e1d60ca2fe9bfe62b11fd344d50475c58dc74cb9b","candidate_id":"sha256:bf059fab9f0cda4f21c9d594166233c73984680b3ae730b4b03616cd8d5eca69","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 = (3, 10, 7, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:325cf4bba8877d1c8dbc3bd85c8e2a0021441b6bf3770bc8f486b8c5db81f4eb"},"incumbent_state_id":"sha256:266f97cb0e00bdeba67a68b8823adae1942b6c0bae7c21ed51e3ac950701351e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 10, 7, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:db73bf7a40acf16afd56902a41ca44cc1492e2309efc28fcbade1d677b2e6997","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000094"},{"accepted":{"artifact_digest":"sha256:484aa74943110355c4574b6ac33a1fb97887281dc8125962b07b8f92f49009a6","candidate_id":"sha256:f1bfdc1dfb34d2877afed676eb6eb19d341e5c499863a89810b583091214fe24","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 10, 7, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3ae445b827b8482d502a550091e86edcae029d80587ca552599447010680cba7"},"incumbent_state_id":"sha256:bf059fab9f0cda4f21c9d594166233c73984680b3ae730b4b03616cd8d5eca69","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 10, 7, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ce04367ebc1c4ecb94be525bec4fdea2632a6f42c7847898b6eb1a17750e3f1a","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000094"},{"accepted":{"artifact_digest":"sha256:72412bf4a51264822c8589b8681dd37cdb14fdbed6db44b8089ae72b7a0f2052","candidate_id":"sha256:3cb9e774b490b1e678ba23a78ac8346cdde1d608e95ec590e8667fc5d2f15bce","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":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 10, 12, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:052374676875979fc353b148b14e5e3c290eb683940e3ba8b6dafeb313367f2d"},"incumbent_state_id":"sha256:f1bfdc1dfb34d2877afed676eb6eb19d341e5c499863a89810b583091214fe24","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 10, 7, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a12b88d20ab26bb732385881f5f9803bc9de1d149cda8562a3391522ad9d733e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000094"},{"accepted":{"artifact_digest":"sha256:754ed4bd2b290083dd6aa6465893cacc43f80acde5ad6e50f6c98f8c8b310a77","candidate_id":"sha256:25af67452023246737d0f1b6f8aedb9f699d6003d237ba2e39fcc98a1afdd92c","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 = (2, 15, 12, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e36d74270bd107fdb9bdd609f31340a4675abe9e1136919eaeb4d2d8b76aa993"},"incumbent_state_id":"sha256:3cb9e774b490b1e678ba23a78ac8346cdde1d608e95ec590e8667fc5d2f15bce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 10, 12, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cf88add9ce65f7637306d7863dbaabba0cc9824cb10cb47afce835b1fd493eca","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000094"}],"task_id":"vlr-formal-v2-0000094","trajectory_id":"vlr-formal-v2-0000094-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:61c625b8ec77a201d19d3ca15ff1de7f79b5e26d905f7e637a0750c998ee6899","sample_id":"sha256:8ab4baca5f30514ad3daac55cb74746b7df69b78a730ce0ef4d5dc0490bb6b95","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:529305988f9abc7f3080205a583f2c80f0d0eca92f487decf6cf0e0fa033db60","candidate_id":"sha256:1b944eaca49bf25e9b60026f258934a0862b0028da33e7d827adab5c27b389a7","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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 3, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f5aa494248d9f0afc321076b18f0d4deb2f4f5a3e91e12cce1d3afb7c985bfb4"},"incumbent_state_id":"sha256:d40cbf7e5f6a86982bd50142c1b1ff40a6909695d6e4446a5dd1301936bb0cb3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 3, 2, 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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ee1a4b2c4cf582f2608e8e8e1631bfc72c1b4a6fe707fa6799fe52ab4788d014","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000095"},{"accepted":{"artifact_digest":"sha256:25618ca93d7b4af9fb5bb72bd529b20f41fed5fbe9a2f4bcab27891a416e94a4","candidate_id":"sha256:177ea2e1c83bc9af1ef1dbf65bdad1ba7d1aeb5b5b0a78f9ebfe7f5d69476446","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 5, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:9e3cf997d765ddffe55e1b8ad312bc96c9a214875f17536428e2cd6c6bff2e72"},"incumbent_state_id":"sha256:1b944eaca49bf25e9b60026f258934a0862b0028da33e7d827adab5c27b389a7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 3, 2, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:86557e7655e3cb303062030741e703b130990e2ae84c581d5f9d533e205814d4","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000095"},{"accepted":{"artifact_digest":"sha256:4914e4ac435c6226bb8d92f7818a31bba6b4140b60dc9c970fcaad42812e494c","candidate_id":"sha256:a7b67946aa02ecc8e56a925599cdb73d9d9f00e9403f478fa8440d876d02f5e1","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 = (3, 5, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:618bd5ddb9e121feb1c2072d7a09a868c3fb4eac492d16db98926a237ec0c001"},"incumbent_state_id":"sha256:177ea2e1c83bc9af1ef1dbf65bdad1ba7d1aeb5b5b0a78f9ebfe7f5d69476446","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 5, 2, 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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1c785e3bd479ce1b5a18cf483772e1e546bd8028b4d8d620292ee07f0289232e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000095"}],"task_id":"vlr-formal-v2-0000095","trajectory_id":"vlr-formal-v2-0000095-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:3e66fa544b61d575ff5c690fe58c3cebabc150e1cd197c60a061a5a0b257560a","sample_id":"sha256:e18ae0a716bcdd5965cfb8977aa7eb5e4a344671592349317a2b13b4c5c4d6c0","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:82db7a069cdb35aedfc8164b6625e404ec9ad725c644591e3e4c1b5d570e5d2f","candidate_id":"sha256:285b1d630012a51ef7edf2f1ff0210d96a6c43437b3e38b9da46d6e6984cf821","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-2, -3, 4, -2, 2, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:725cd5c193c335c04cfab9730b72b77810a98ec90446d7db90335f9eff79b5ef"},"incumbent_state_id":"sha256:da81e5e7b2b83f78b695122e3ea2d2dab0f7a5d78ff2d9a5286ab9acfaa37bbf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-2, -3, 4, 8, 2, 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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e14e2c8cd80d9311678c9f75fc7bb02bd1edcbef56cd484482e3b896cb897161","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000096"},{"accepted":{"artifact_digest":"sha256:e3c7e5c2be23db1121438abcca2b72106b39f2f66d55f31cb129cc9d09799386","candidate_id":"sha256:50a486d74c04c15fb590a35605445cbf46b67069f3337225407933012a6658dc","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 = (-2, -1, 4, -2, 2, 4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d6032076eb77afaea05b13c906e48e9d64907b34c9e8c81680783a156febddcf"},"incumbent_state_id":"sha256:285b1d630012a51ef7edf2f1ff0210d96a6c43437b3e38b9da46d6e6984cf821","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-2, -3, 4, -2, 2, 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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1400428fde98cf375e067d1ed30a3399e32695d2a4cbb3649ae3273ad5c39f05","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000096"},{"accepted":{"artifact_digest":"sha256:c7b5ccfcb79f019456265d054893630f36070b955bdf5c0e3a6adf5ed0f03a88","candidate_id":"sha256:af57c40285173e4bf7d8ec0e4344b8654f05c36a28c1c89f7ebfb87934fe8e6f","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 = (-2, -1, 4, -2, 2, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:81ea48c8ca57a754b57a8c56f9ad5713ff170212ec751ea8acf37776e9a2d34c"},"incumbent_state_id":"sha256:50a486d74c04c15fb590a35605445cbf46b67069f3337225407933012a6658dc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-2, -1, 4, -2, 2, 4)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:143bc8772d5c9ec215c40a8acf0d8a5af7ddb2c012acf613eff5623d17d6b399","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000096"},{"accepted":{"artifact_digest":"sha256:b52b1b57f4ad20776b3028ad90677db0da4bc5eca1531638171fc628691c93e8","candidate_id":"sha256:f2b01cd5ea733d83a2053f77d764f49aa74dd1739cf91418235f32dc49f55f03","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, 4, -2, 2, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a03e32fccfc0d8988ec40bcdea6f4327c4b8a9dcce6adae1173bd0583e9fa454"},"incumbent_state_id":"sha256:af57c40285173e4bf7d8ec0e4344b8654f05c36a28c1c89f7ebfb87934fe8e6f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-2, -1, 4, -2, 2, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:540548895a812e8c837266af4c3d9a3289009d3a5827a5442e4ed62805638b13","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000096"}],"task_id":"vlr-formal-v2-0000096","trajectory_id":"vlr-formal-v2-0000096-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:dedfb295eebb779a10c0d9e0b61a1d1eca8a5ac27d5623511dd6072540fdd9a8","sample_id":"sha256:7e11c30cd338ac9f0962abcc98ace6560325f0ed905ad957733b34dd69e12b89","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:caaa09bf1d323cd6951f3f1a27917f273488b111cb1f8cb37067e2a621d53e76","candidate_id":"sha256:4d1abcab21ba68c2aa56c64b6e54fdf7751b2adaec82d54cd4d476bd6758ab9b","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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, -1, -1, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:5a052a2566e3782c65c31d998649249398e5cbeeb4572abc5a679302bac64d6e"},"incumbent_state_id":"sha256:56ff36c6213a717e4c5f6813adf5131fdbc72b449e506390e68ae51422dfeffd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -1, -1, -8, 5)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2605528fc0485d90d26a3425c99994c211920e60e7133aac7ce00415c49f8bc1","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000097"},{"accepted":{"artifact_digest":"sha256:ec7d35b61ea017dfe520d4dee5600d8c5ebbea72ab9a008df39645bbf4760db1","candidate_id":"sha256:6a1719cc0eb3edd82ce5170be7dba6252ed67606f4b609e934154b333d897916","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -1, -1, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4c480cb68556c22c4cb093f3e4f62fda84897e5cd77e44376dae83977eb6e58a"},"incumbent_state_id":"sha256:4d1abcab21ba68c2aa56c64b6e54fdf7751b2adaec82d54cd4d476bd6758ab9b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -1, -1, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:29966c1dfb9c651c684fe550319809af7d55aa37a6fb12233dd8b04d92355bcf","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000097"},{"accepted":{"artifact_digest":"sha256:e818d632027c81b3e6869fec7bfaeb3a8808d4359ea7d971d6b3842703c5d205","candidate_id":"sha256:725be7f538953c58d8e4452c91114a4ccfa67ad5a4374b8d1705e3b6ded3d016","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":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -7, -1, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:df259f7df507ba39349e79ca720906d9fc66b61cd2b706b3840cfea22c9cf682"},"incumbent_state_id":"sha256:6a1719cc0eb3edd82ce5170be7dba6252ed67606f4b609e934154b333d897916","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, -1, -1, -8, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:856e78af9a201798acd83558bcbc9722f604f199228fefbfcc20c74619781799","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000097"},{"accepted":{"artifact_digest":"sha256:f93c1c0d4f6dd51d48518a4543659a79dfc62834d36706dc87b0738851bf35c4","candidate_id":"sha256:142103f22a73bea1ebd30cb36d2e0bf7625d825f056bd5684da9929355137686","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -7, -5, -8, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7ea9574f23c2f31915a800b37802293f20800ff1f564c0bb604a0aba829df9a1"},"incumbent_state_id":"sha256:725be7f538953c58d8e4452c91114a4ccfa67ad5a4374b8d1705e3b6ded3d016","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, -7, -1, -8, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7b0f440d404360305ddbb238cd17933e529349c4613d68348c326a129d7315f4","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000097"},{"accepted":{"artifact_digest":"sha256:87c1db69d8adeeed091fc7e1785c9de0c4243f07056ce0faa231787f106583fe","candidate_id":"sha256:f79a5d3f84968eb61de20044a4a4088b36ecec04392e21df05b576bfe7a19749","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 = (-2, -7, -5, 3, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2f014a35dc5979ecb6d0938fa95afdcbb2ba19bb3cb3fc45a154ff5e5fe97714"},"incumbent_state_id":"sha256:142103f22a73bea1ebd30cb36d2e0bf7625d825f056bd5684da9929355137686","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 9}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, -7, -5, -8, 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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ec3540daba3c2cde59b7a0009b057e0c2f3d849c3861fb5ae67a4b0db59526c2","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000097"}],"task_id":"vlr-formal-v2-0000097","trajectory_id":"vlr-formal-v2-0000097-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:483c3c45a9f51d2a5171cca97e7c50673ddf668d4edc97c149e8fbb53c43029d","sample_id":"sha256:4b5a903f302f715f8b6edfc2d3e373356ac5915bd3e06be1a89ac0659f68679f","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:61d0ab6743c342787f4f5bd8f8d6eddfba71c1ba5393909272bb5fb16b4dfd6c","candidate_id":"sha256:49812f16c7286833a710073c5632caf5f1ef12237f329e5023464582ab63fc47","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-4, 9, -1, 7, 7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d35d8ff36ea67789fefe18d17a7b3cd55c0089443de82fe5c50828c7505ed01e"},"incumbent_state_id":"sha256:53eef6a29fcff13e31997e50d71d8c9f8f43fde1b205d64ae92b93d2846aef23","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -5, -1, 7, 7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bd4da9c646676c666bc31618d6b09f089710c8309ebe340a72b8167f10da965d","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000101"},{"accepted":{"artifact_digest":"sha256:fc37380035d0ae70d134dc76fa61c1d4414592efefa977460d1cdf553c164f0b","candidate_id":"sha256:7c6a316e44b119db91f7a648ccd5381f4a941e8748a1ce4f48c7001ffcc35907","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-4, 9, -1, 7, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:72f7cab72fc1245cef0ef82e1e69f1df330f54db089a0b303d0601cb39be5c32"},"incumbent_state_id":"sha256:49812f16c7286833a710073c5632caf5f1ef12237f329e5023464582ab63fc47","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, 9, -1, 7, 7)\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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:30e865f775cf7d39ab7bfde29f07a605bd02feb9e131d5a873c53e9e35abdd1e","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000101"},{"accepted":{"artifact_digest":"sha256:1c5c778fa797c52ecad34b0f94af99bc258514f589fede1f186d70887f0fcc29","candidate_id":"sha256:119e8516e8e83f713c524278e2a792bb53309c25cbfb788789ea068fc19d68c7","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 = (-4, 9, -6, 7, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:114f2aa8b119583254bc044685826b6d2b5ff1fd7a9aca0163dca055ee300803"},"incumbent_state_id":"sha256:7c6a316e44b119db91f7a648ccd5381f4a941e8748a1ce4f48c7001ffcc35907","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, 9, -1, 7, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6789f8bd8635977852e2d392f0831fb51383645f780708f49959673980705d10","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000101"}],"task_id":"vlr-formal-v2-0000101","trajectory_id":"vlr-formal-v2-0000101-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:0cba695ee97f30e9b53f45b98f138a71bad5ce86ee5c15911ca7a07d467d5dcc","sample_id":"sha256:1f394b4cda69d8f250f0beb026b975b168e10dbb42a532460e3503e1cecdb1b8","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:f413149c9eba5345dbcd8d852599d324b5c8a6a7f33dce512ec92c4128b07bf3","candidate_id":"sha256:febdf86ae2223e74bda51a44a6b2f84fb8a98e7e393292ad43fc56da3894e7e8","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, -7, -6, 5, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:17415f2b2eebc52f3961f0a6e64651f5f8bdd9fbbdf1d0935263c0eac8c9d32d"},"incumbent_state_id":"sha256:3140b1edfef9d919d17560bd15cc70078555282c0cdbeebb66268dbb684fc26d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -6, -6, 5, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:848b649d5b5970e03614f0503c6e499004c1dcefef36341c0e0d68551ea090b0","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000102"},{"accepted":{"artifact_digest":"sha256:b8a5b4f9a2cb4c7d4239d5068bb917b2da41cae70ee7fa937b1ca12487eab820","candidate_id":"sha256:36b2bb4022c02f1a528634393ec3dd89cd133522b35ee9a3e7a094ba1afe7a09","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 = (0, -7, -6, 5, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5a3c4285eaac14668d0c9e00fe1c4d1d8a7fc2eb247ae75ba9b2a68c934a16c8"},"incumbent_state_id":"sha256:febdf86ae2223e74bda51a44a6b2f84fb8a98e7e393292ad43fc56da3894e7e8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -7, -6, 5, 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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0c0964173f8024b73b9385aefe617ff153d28f3a8f80f10066b206f132ac97ae","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000102"}],"task_id":"vlr-formal-v2-0000102","trajectory_id":"vlr-formal-v2-0000102-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:4babc3d8ed9aef9413ff553b10be74dd575acce55cae8d22cbb3c331ee945ae7","sample_id":"sha256:7a91e2a68ffc63f31ed998c15b367ac019534a74645139c9672f9e2cb2412be5","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:8637ba8e74d491be4f3649e6ac51bbfd415b7a73c1e4202551b5f7e7ca7117b1","candidate_id":"sha256:17516b303ccc5fbb9a09a666612e197c54f7aca1e30ce2ffe3852c16af894259","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 3, 5, 5, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:db11e0047c2e12dce0390c6836c5b1ba3ebda4221de2478613a8f471813088e4"},"incumbent_state_id":"sha256:f3dcb1185ff3cad4b4b80583c4d1be8debbab3bbcb90e082092f7a08cd8c081b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 5, 5, 5, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_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\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5292c2ec576b0d6a0d23661e127fdb8eadcfc226190e7c75b1faafe8816364a3","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000103"},{"accepted":{"artifact_digest":"sha256:35a3ee8e9520ded4604281849f77ab9d3aa85072a211962bddde62d140740b15","candidate_id":"sha256:49ebd719ef3f614bd6245e00d8f0904bc6c30c6b71490feeca1ece1160f58b12","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 = (3, 3, 5, 7, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7e6bbc7def635d06f243a0e67867f83dc919e0aadc89df6858ade4950e5522ce"},"incumbent_state_id":"sha256:17516b303ccc5fbb9a09a666612e197c54f7aca1e30ce2ffe3852c16af894259","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 3, 5, 5, 2)\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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1707d6fa3caae746915d47ff45f909ed2c927c66ceb42b199195314f4c2d0416","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000103"},{"accepted":{"artifact_digest":"sha256:571dc47ab5178d0017584d83cb4e32baefadcaaf7402c25f2f51d61f688b5eab","candidate_id":"sha256:0f390a9eefecc8114dad134ad22a39baa8d466c7ac6f63e5bb74b885c8c43b8b","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 = (3, 3, 5, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d15fd2d2b65f71d13ecc14d566167b7cda7ef85d76e686a38eb4f38568eb52b6"},"incumbent_state_id":"sha256:49ebd719ef3f614bd6245e00d8f0904bc6c30c6b71490feeca1ece1160f58b12","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 3, 5, 7, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9ebcd5ddeb1e8f475a005ee05ce996c60168d52530681623be24d3171ea148dc","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000103"}],"task_id":"vlr-formal-v2-0000103","trajectory_id":"vlr-formal-v2-0000103-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:79fc88043528733817d9a26a6402356452e96d193df2dced5958958a8534da64","sample_id":"sha256:2f4a9ce96d4672ca6a10999a328d921cda8df56b1bfeb1ae1ae6fa3ee1559db1","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ba2992a684e5d40e54cb56da2ff259131083a63f1315cc3e1a5204cbe881baf6","candidate_id":"sha256:cc13341046087ef5ccf48812bef706d7a4784af423d29216c024880b78b9b106","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 = (12, 1, 8, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9ad806b1c9f8aff186e5396378b94a7f8c28bb2ad951abe7369e34f2c61b92c2"},"incumbent_state_id":"sha256:650d44f834e6b0accb70ae6f0920c041bf61bb257a6de5d3a4e8c58458020073","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 3, 8, 7)\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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bc77ddd916763de5aa8b1c15e0d07e8018db2913de8b8f9bda29e36efb7b6a10","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000104"},{"accepted":{"artifact_digest":"sha256:1672d9aacbe7e11e31a6429bb40025e07087f139d1b8e257791adb93f891487c","candidate_id":"sha256:d58b906d7a8e0385bafaa2f5c0945b427a9c888948330685da0c7de313010694","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, 1, 8, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b751cac995f4055360d5fe64e61a9f65767dce43f19558f0d10d0d22323ad98f"},"incumbent_state_id":"sha256:cc13341046087ef5ccf48812bef706d7a4784af423d29216c024880b78b9b106","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 1, 8, 7)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d2ba39c1d6082e7b0e4ad37bb98d430048122c8992f7f74adc51345e34f13374","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000104"}],"task_id":"vlr-formal-v2-0000104","trajectory_id":"vlr-formal-v2-0000104-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:a6ac9cd03dabaa8b82ff926ff582125b84b305093e025b5f115b211bad12c3da","sample_id":"sha256:5f65be823a2e829dc390ccba0b2d46a31362d218af85e85b8bab6e8337f526fd","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:47d877fbf31feaadddf6727b741c5faf9663fd4835bdca13995f5807aa7e9573","candidate_id":"sha256:7aaf0bce7442255816579bd912c6770deac419d2c11c1f2dd08b196a36ab044b","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 = (5, 6, 2, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:24afa81699c13f2e0a729e358523c464c05292a8c780f4f4b79ac9e3e8043c12"},"incumbent_state_id":"sha256:e356d40158948a27e7289c2cb459d00b3e37c8aef3a810e19094bd836d6bec01","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 1, 2, 1)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dcc98284761434d88c78a0467208e3febe95d8d1cd4b54679de6d3af1a2d7ea6","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000105"},{"accepted":{"artifact_digest":"sha256:6f98185f97e1df4610d828f93d9a7f631ed4068a4c6bad739bfb1fed32d47def","candidate_id":"sha256:6fb5a4a21281f0f0fb85689a3d7c0541b8f0a526a83d9af108c1106aa4b48338","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ee7de778912fffcfb5398f0217510555553133976c018de97aeecc847da3dabc"},"incumbent_state_id":"sha256:7aaf0bce7442255816579bd912c6770deac419d2c11c1f2dd08b196a36ab044b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 2, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:231e5b9633d6d95ce1895bb5a50d6495785977d8b7952a805cfcabd0344b6b79","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000105"},{"accepted":{"artifact_digest":"sha256:b15fea8eca47e2b873820166f87801e071f961465ee0f1b6283056e442a83b65","candidate_id":"sha256:71848b17ca324b89c497f93d3dd943ed440826a126697e9da55b8590fbd4b13d","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, 6, 3, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:d79a6d311127b0b53824e77dbe6303376562073609b49336beb6b2e514ab306f"},"incumbent_state_id":"sha256:6fb5a4a21281f0f0fb85689a3d7c0541b8f0a526a83d9af108c1106aa4b48338","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 3, 1)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fd54e2fd1ba289932686cbc2dafa0f93949335bd6ffc764370a9442f0c3576e3","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000105"}],"task_id":"vlr-formal-v2-0000105","trajectory_id":"vlr-formal-v2-0000105-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:f9fdd031eafecbdaddfb0a465dbcacdc17003de953857583fc33bedeacef2ffb","sample_id":"sha256:56354200d239b7ae564c8ab934726cc89bd5ce82f3f82c78927b3c94f110d9b0","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:6a89eba1571ef27658465d31a99302b6c77c2dba5c8d136f72231d0b71f26b61","candidate_id":"sha256:548615cfef72dd6603a7e9413e00dbf4edca1b9d8522e985e0a86dac00a8c1f8","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 7, 1, 8, -8, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0a081d147bd00634ba317cbe7cb30fc871762bfc94dffe796723c01d9b316459"},"incumbent_state_id":"sha256:63d5885eb4341bb1c4947e10e5786c48e6a9e27fefc96d02117695a3979f151c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 3, \"output\": 11}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 5, 1, 8, -8, -7)\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_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:67fae8eaf7d6f422bd3d11c1b5946cd6eedb47e10ea802f469dc6d045e7fbfe5","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000106"},{"accepted":{"artifact_digest":"sha256:4222347c85bc4237241d0194a771b5d93a7fae5a97d601b062a09b3503d6568f","candidate_id":"sha256:d28378408919221bd5ea4271886c20e162c7f6b50049859248f35e947be8a0bc","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 = (5, 7, 1, 8, -8, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:471e0d7dd3512f19cd2361ac13fbdcde9244782e9a7e19c1526f9ccd82ca6137"},"incumbent_state_id":"sha256:548615cfef72dd6603a7e9413e00dbf4edca1b9d8522e985e0a86dac00a8c1f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 3, \"output\": 11}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 7, 1, 8, -8, -7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f17a62714d7349921149d0248fd9f25aa150ff7b7f902d7b3091e84b1bd5717b","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000106"},{"accepted":{"artifact_digest":"sha256:0f5fe8cd365b01e33d45db076b1d63c90c432528b95419cd96efc4e0b12537d5","candidate_id":"sha256:3b7a38639c0a8efb82ef35575f766ef00a0059351ae42d069806a1c2cd6a7175","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 = (5, 7, 5, 8, -8, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7388086f5333b48d83deb29e9b73f1340802166f0bdd3a44d869dd12a4898fc4"},"incumbent_state_id":"sha256:d28378408919221bd5ea4271886c20e162c7f6b50049859248f35e947be8a0bc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 3, \"output\": 11}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 7, 1, 8, -8, 1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bdafc2d792421ab0d2b6a2cf5ea81ae93988e005a8136b037912aad151ead60c","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000106"}],"task_id":"vlr-formal-v2-0000106","trajectory_id":"vlr-formal-v2-0000106-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:67f83dcc2ee4522608859d44c94ec308210d02c893875b3e84f7b5ecf9835197","sample_id":"sha256:5b8211b754ec0ca85558848202a59c17dc5c29c1857dd08db71913d2ca4cb7b5","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c06af91d83f9b729e599e693306c76f25a15a715360b4eca830a6cfbaa0ad785","candidate_id":"sha256:137dce090e835c4f17b4932be905125fdd873e4f0ac3590ba49c73bbb300e7f1","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 = (7, 6, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:680a4801f7515cad099e46893d669e24f12566af924f244da29478edafabf4cc"},"incumbent_state_id":"sha256:7d6b2fcaef9f390d4b8b218d77d1b84bf44d3a2fc5175fd16cde64916b14d0f1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -8, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d3a9b164ea4ccff0c92a289789e7a0b7632f16c40d53ccb677b75f20145f494e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000107"},{"accepted":{"artifact_digest":"sha256:1dbcae5dd75dc8fa62bf6d510e86e112be7eb274b124266d8bc85445abf00941","candidate_id":"sha256:cd39d3e4132e2d1795c8a9c66bf8c5b6e6fa978e3b49a9c900dde5506774cee9","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, 6, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0d8f4460122cd00340beb50f003ab3a66f801946daf6245d963cff233a94ab3c"},"incumbent_state_id":"sha256:137dce090e835c4f17b4932be905125fdd873e4f0ac3590ba49c73bbb300e7f1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 6, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0912124518f1ebbbafe43ed9710a26f236cb968787b2e253cf4695108a2f729d","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000107"},{"accepted":{"artifact_digest":"sha256:eda11ff08e951003b610096aae3dafa439e6b78557495ecd5b14268747546bfe","candidate_id":"sha256:6cf00ee954c56edc23370ee2f2e255412a8ff2e0b0f1ef56d423268bb775ec1b","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, 6, -8, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c7542ead412b8c88b09d2ad473be5f5687bbbc3e65809ba57898c66989b5baf2"},"incumbent_state_id":"sha256:cd39d3e4132e2d1795c8a9c66bf8c5b6e6fa978e3b49a9c900dde5506774cee9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 10}, {\"input\": 8, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, 5, 4, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ce5206a256866e966cbe5d4a47dc6fe5358af968e760ba9321d8c016daf8ba04","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000107"}],"task_id":"vlr-formal-v2-0000107","trajectory_id":"vlr-formal-v2-0000107-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:846ea143d8e4145ef441bb19916735048de1012802ec413ae8cb1dcd33b3a0ad","sample_id":"sha256:c8e4066e2cd6d4c06666699f7d7c2f3b168444956fc963fe3990245ec6a87142","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ed1cd32d031bad2c97eb922cfa18398def03d507e3177a9cb9db93ef83a99c5f","candidate_id":"sha256:befac99956305220b80964dedd85b214e5496b9dcc34e2eebcd9f49f1a61fdbc","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":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-5, 0, -7, -7)\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":"sha256:91e61ba0ad7487e82892c3103bdf74f9caeda3ef5872fc39596e1704a2c39113"},"incumbent_state_id":"sha256:5f016e83708dc955839799e67183c05cda8ab49a779c9c1daae45dc65d3471a3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -20}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, 0, -7, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:842884a59a40e2d84049bacbd2e68362fa5dff5ec99693428f0133b6deeed18d","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000110"},{"accepted":{"artifact_digest":"sha256:8f4867362c6a05c780ea0f51e6476414859f4b48eb5b308ebdc626b12c6731d5","candidate_id":"sha256:ab296c82e0d8cc36ebdd3e5f742584686a86c363eabd7ac152e1880dcb695517","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (7, 0, -7, -7)\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":"sha256:62f8a748c6f357051344053bd8e62a133fd253d485154512087d0603a92f5a7c"},"incumbent_state_id":"sha256:befac99956305220b80964dedd85b214e5496b9dcc34e2eebcd9f49f1a61fdbc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -20}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, 0, -7, -7)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:93548b82e48d09982aec7a76ac1d820952503891ffce1530a7ccdc0149e292f9","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000110"},{"accepted":{"artifact_digest":"sha256:1fbc79c8d38b8787792c2f9df09a47acc460001f2296e1178e2e27ca86a12a1a","candidate_id":"sha256:cfa360b7e6c70634e7f007cfdef920e3164e77c3658cc84fcec8a3936991b3d1","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    offsets = (7, 0, 3, -7)\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:bf3f8eb80efb9a62bffbc1f1e0cad6edaa3ec81d62e2a516048e88afdda2b478"},"incumbent_state_id":"sha256:ab296c82e0d8cc36ebdd3e5f742584686a86c363eabd7ac152e1880dcb695517","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -20}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (7, 0, -7, -7)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2f7c8b0e0c8afbd97161f27979e2265eff6dcdaebb34065bf03909af3e19d30d","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000110"},{"accepted":{"artifact_digest":"sha256:612f2a0360a2610b0427ee63f1885ef339ae3c74e2df81f547da7ef9fb4de46b","candidate_id":"sha256:05db254ad73b092967d2af85893362fb68db7382052cc1c47bbad8943b323931","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, -8, 3, -7)\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:f90a7e5fee7721b7aeaacd20842ae4c7aea2d60462f3842e5900715306d79374"},"incumbent_state_id":"sha256:cfa360b7e6c70634e7f007cfdef920e3164e77c3658cc84fcec8a3936991b3d1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -20}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (7, 0, 3, -7)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c1b37a321e1766179d788efdd3d4cef3bef52bb56aa7682c801126f33e44227f","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000110"}],"task_id":"vlr-formal-v2-0000110","trajectory_id":"vlr-formal-v2-0000110-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:1cdc87c7b9ab63672fd51d0dda39eaa12e48f03d8dbbfe07bf21b3a7f0772817","sample_id":"sha256:2ae8eb00a08f17508a7d94d7bc083df89a703e7d9908a6e019c19d1fab6376f0","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:11b549e2eb9c2dc1e8b8c72b8d484fad842a463dff7032e0f7c7768216d06607","candidate_id":"sha256:8494e764dc7f10e4152aa28a055bfc4245cf792c710b8c23415c238c4b95ef70","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, 0, 9, -5, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5c729848a82d826616bdd97465e426dcd53c24bdb00383862d709d94f418a469"},"incumbent_state_id":"sha256:d73bbec094bd9c5c8a6082d1d3bf941f36a7ea27d8a1c5ee26fa5fe6ea5049ff","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 0, 9, -5, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a366e49415e6873a99e5993556b80ab0f101367affeb0f4146ea222280a8da20","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000111"},{"accepted":{"artifact_digest":"sha256:1c718757d956f1e5a82fb81a8c475f79a391c11c2378a7debb08e66256430eb1","candidate_id":"sha256:603c4949ae2a7620a3cae86142c320f74ba29284ea7e6541c423d98f24844ec5","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 0, 9, 2, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:eb7dab209c3f12489165071867b0db6c803f8f2e21dc1af6ad2b7e43b0d82570"},"incumbent_state_id":"sha256:8494e764dc7f10e4152aa28a055bfc4245cf792c710b8c23415c238c4b95ef70","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 0, 9, -5, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d2474830a6005b97b7e4f445d9d15c9cf72d630feebff1f6214ff516a2f51cc0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000111"},{"accepted":{"artifact_digest":"sha256:08459af28b3bef5d7dd44420a47e9ba01360daaab0688615e6ac4533c64ec051","candidate_id":"sha256:93679cf347ed8fa97eaea101894aed4abbaefa3a04f605ed44e82129eec875a2","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 0, 1, 2, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:f58c7ea73614afb80ceaadc034c94979705e44fb6a1c3e1e8ae3ca4e60596a7f"},"incumbent_state_id":"sha256:603c4949ae2a7620a3cae86142c320f74ba29284ea7e6541c423d98f24844ec5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 0, 9, 2, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d50d0a2eb8e62b8034d3f381f9bd0933ed727784fc26c270ff71091a843f6f6b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000111"}],"task_id":"vlr-formal-v2-0000111","trajectory_id":"vlr-formal-v2-0000111-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:9639ee04f41212b62c8d292c9eb3d09eb1e27fd7814c132eeb1f98a9896e2381","sample_id":"sha256:5492aa9c83151f61a173c990443efcd25afc16a4952f8ffcb8fb819f104513b9","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:166cf587479a1e9250758a86500123be4ce16102a611e7b541a7835e6d296de6","candidate_id":"sha256:c79b2dc1be639215fec953f833366b2509385069c768e850f5d80c6bcf7301f6","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-4, -3, 6, 5, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9c83d1e0c9fca6024b4aea9878a446adf2a564bc76978d70f8765efc1205aade"},"incumbent_state_id":"sha256:af2d66a00513bdd8de26fe573981cb774efe67ade192e60add2fb294b8a77ab7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-4, 0, 6, 5, -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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7d52535ca71e198597b8e0bf255834158a7a10510ecb30afbe0f2468683f0c69","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000112"},{"accepted":{"artifact_digest":"sha256:97e39b38d3b666c6d138807a335470f249e462756cdea5c2ce28fca619b57677","candidate_id":"sha256:77e94c3625758faff66f76059de0a0f95ce2ee1d1f780f97d26fcf6964f649ea","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 = (0, -3, 6, 5, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:355bee4d4da8d7c0c4025e9f1c46ca0a61213c4a05d0af1921c3b2163107f929"},"incumbent_state_id":"sha256:c79b2dc1be639215fec953f833366b2509385069c768e850f5d80c6bcf7301f6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-4, -3, 6, 5, -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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:afa4c51340cb9a35ca466d3878eb443c1a4d35fccd7383ab5b2ff19e7ed415cf","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000112"}],"task_id":"vlr-formal-v2-0000112","trajectory_id":"vlr-formal-v2-0000112-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:938831472e685776f0eb9eae793696c96ec2711db580bcb386e684076908bf48","sample_id":"sha256:1796a879b4f8372dd634e43b2d09264655e29affda208f1b5dfb91de3654f2b4","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:f566357c14ee8e79f6fe1a12c1a9ab56bc1d157f4e9c1702f10a25a05d53f701","candidate_id":"sha256:d83563c12b431262dac1e7d80ad3002e3dfc01db9c28c771996bdd38396c9fff","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 1, 3, 6, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d59ebfc83790d7eff1ded55ad7142fa9e05132b5bee34b3e3de941fbb3e5e0cb"},"incumbent_state_id":"sha256:5aedb3cb28f7b84dd08c8494dbb8984e940ffe9ab0d33176aeeda47565c7edbf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 3, 3, 6, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:df7a891fae1b4b4b6315c39f6db88346d46beeb7e5f64bd26efc5c40e5fafc1a","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000113"},{"accepted":{"artifact_digest":"sha256:0a569007b42aa5f1496e5822abeb4f6c8008e1ee250805710d26ff985e851617","candidate_id":"sha256:18333f37a7ede78d50f965f187d68acfd1642f5b0c432244320dbc15fa6c98c3","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 1, 8, 6, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:434d732ae3026de6b6098e592ed3f56eafe2d0935cd0b413b0805eafe657e2e9"},"incumbent_state_id":"sha256:d83563c12b431262dac1e7d80ad3002e3dfc01db9c28c771996bdd38396c9fff","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 1, 3, 6, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d3992dc6edb7b76390f151c70fe502779f939cf295d10d32f07f173295a6e892","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000113"},{"accepted":{"artifact_digest":"sha256:5150b9ffa39a37c89e9f8446e397141e328230b0878397f93488864b00e199c4","candidate_id":"sha256:4803a10d7d2e308b866523737cf4e6177e3b2a9e97845faffe6f6584fcebbce8","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 = (1, 1, 8, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7dc19b45d4c7fa0e4a500bd3355d71ffa9148b93b15a6f70ab82375de93a73d4"},"incumbent_state_id":"sha256:18333f37a7ede78d50f965f187d68acfd1642f5b0c432244320dbc15fa6c98c3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 1, 8, 6, 1)\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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7544ec3bde8784e1bf884c02b4131385345c11476e5f6c7077b05d245347d505","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000113"},{"accepted":{"artifact_digest":"sha256:886447219a7e808e4c7b7fdd92b64acb39e55d685ddf14977ba91650a9d1b650","candidate_id":"sha256:166757a71343d851a4be87ef21ef8c2834f5bbd3f68982c22459dbba81c51ba1","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 = (1, 1, 8, 3, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f050766af44b1f135d092afc557ad27512ecb7f999ace3936dd902605901cec1"},"incumbent_state_id":"sha256:4803a10d7d2e308b866523737cf4e6177e3b2a9e97845faffe6f6584fcebbce8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 1, 8, 3, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cea4a44a99d35a86737d8cdd8766e0135f84c0fd2aafe1bce0e40730902cf46b","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000113"}],"task_id":"vlr-formal-v2-0000113","trajectory_id":"vlr-formal-v2-0000113-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:82a8811220367eb6aca6c427afec93d1ac7ec5c9052e91d43a1812ad716161c8","sample_id":"sha256:abc5467144e58ca506cb0d4667f1e209f2fd1267d219b76655486a0c7837d7b2","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:71285e57fb7e903630398378f32dd6f66dba66dc4bdd3af1b49c9391b286aca9","candidate_id":"sha256:61ab2c726672597e675fda78cdcb269528fc8b54e81762ccd209e449dba35856","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 = (15, 11, 10, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d554bdd62399c3516e28c56446cc13144d87ce1c262ecbeb9e2ac1b2b6db4b52"},"incumbent_state_id":"sha256:8181df6db16cdf0759e104fd2ef0471131e07d22233665bbff1b6bd2a7e5c8fd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 12, 10, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e188e9446bcf6d7d5cafc2ab064dd5203513fedfc718f1499ee30443a9ac4eea","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000114"},{"accepted":{"artifact_digest":"sha256:13e68a2afbc6e36bd50517b17c8e32cfded90c642675bb79b9fa552ff6a74b5c","candidate_id":"sha256:efce0548942415d64ecd13bca49c412a6f803aae20021c902bf3ad23b35dc09a","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 = (15, 11, 4, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2bc31a303a22cacf4a5ef032b006e6ee2314f8c67a42e17694bfa27c356112ec"},"incumbent_state_id":"sha256:61ab2c726672597e675fda78cdcb269528fc8b54e81762ccd209e449dba35856","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 11, 10, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7995a71af94ec06465e916cc1d6b60e57036aac887c9297ac6f63af306d17f1f","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000114"}],"task_id":"vlr-formal-v2-0000114","trajectory_id":"vlr-formal-v2-0000114-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:d215642877ed0847a21cb0d8ddbfc6d9f9c7ff37f3db1f2535da99c8dcf31846","sample_id":"sha256:7d80b0d9f0a910d38530d48f83b54acd102ffd24d60b5e2e61a2336e4a19f78f","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:643100c3ef7cc38f11329c4fe11f3a415b5081cceb116cacbda46000da57b476","candidate_id":"sha256:eb5250774ef13e00aa78b11bf5a8fed3995e5ea84dc22c93b8895babfe2b8aae","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 5, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f48586a8e7ebbfba4749e81de8c3d4d06a2c7eb251861681f8dbce97c4f9ac2f"},"incumbent_state_id":"sha256:5b271db0e0c996f01ff96616906915a541716ef2c924f41a60304d62682d94c8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 5, 4, 1)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:aed2d06d5995560f2e6d1cdce3e1929baaa1df2ce481fe898bfbd01df0dc9f9e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000115"},{"accepted":{"artifact_digest":"sha256:09f9919714cb534bd7469db371b2e9e08a2322e833bc2e78f4594538a9b7bb84","candidate_id":"sha256:d4882a536114133f6cab2cfd2ba4efd8abf1baf3d4ec9cfc4a096b095aacddc6","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, 5, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:126bfd9a81de9d3afa0e9b5a4849e8d8c7b3f6d7f90cdc601d9ece1ce182625b"},"incumbent_state_id":"sha256:eb5250774ef13e00aa78b11bf5a8fed3995e5ea84dc22c93b8895babfe2b8aae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 5, 4, 1)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a3b378d541cb97281e779ca1cd4c0cd9ea2af8bab241547fcab1b03f1383e484","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000115"}],"task_id":"vlr-formal-v2-0000115","trajectory_id":"vlr-formal-v2-0000115-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:3fbe626ae5fe05604024538a65e85465fd382ff5ae9261ce7d3f2b1d13fee947","sample_id":"sha256:a7248236f01f0056b2a41729db84f96541c9b6ba984441e9012f8c593b47adcb","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:51f07480bc8b4c595a2bf6ccbf1ca9ff1c20a2fbf9536326ba478d4ed4befbfa","candidate_id":"sha256:a90992aded5b2d8c153ae07dc98b6696e84b46122ae4155e46e3268818e73a52","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-8, 4, 1, -1, -7, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1ed7d8346c74e0995e300a08b849475af9ff4a3dc10e403ac396d52c1aa97fb2"},"incumbent_state_id":"sha256:9728101bf63182d39f150daf249f65fff04e0307b381522ec2f711543a1424e0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-8, 4, -1, -1, -7, -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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:137f6ca0a27db4d5e43bf9a2716e2de6b1964bcfb94d22c6daee04031417dc18","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000116"},{"accepted":{"artifact_digest":"sha256:49d29d829652cd204489061d135f81c26b7e2e162b0abf0d994533d495cfb4e6","candidate_id":"sha256:c4396fb2547d59966d88868af669ef4b623ebe32df2ac7779349d8e2dee28cfa","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-8, 4, 1, 4, -7, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3de109d8994b94a881b1f08bc0535f6e01529c196bd908c6811b1b0179ec6433"},"incumbent_state_id":"sha256:a90992aded5b2d8c153ae07dc98b6696e84b46122ae4155e46e3268818e73a52","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-8, 4, 1, -1, -7, -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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:331fc3b003d644da89cde72b685180543cab8a32a4c72ce93bac8e39d0d24481","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000116"},{"accepted":{"artifact_digest":"sha256:6e25a90e1661a70f60fe59d133026b5df8c85afd3359b80ee6fc2828e43e36ce","candidate_id":"sha256:27402d1003fbe7e2ac3acd634cb77be5bbdf695d4ccac9dcb8dcaaa7c5044ab9","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 = (-5, 4, 1, 4, -7, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7f42337c44e88430bfea24624f731f416675c82383df260b96e70a5b5993087a"},"incumbent_state_id":"sha256:c4396fb2547d59966d88868af669ef4b623ebe32df2ac7779349d8e2dee28cfa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-8, 4, 1, 4, -7, -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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1d3936f564fb5276cbbd6cf203ad29986b39a819b2e1cfb02f3ce661856a0da0","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000116"},{"accepted":{"artifact_digest":"sha256:932c01b0e43efa7e9662a7f3a0000615530518dea90e985edfe19e2d1f3d7a94","candidate_id":"sha256:22fa6d712831c497909ebababf2ec0c067eb2a1da4577c7b940aa3a101027e09","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 = (-5, 4, 1, 4, -2, -4)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:9b0e5c1f397e5010e871e0c215288f34ad9f50c4a899ca22a73ea86e74981ed0"},"incumbent_state_id":"sha256:27402d1003fbe7e2ac3acd634cb77be5bbdf695d4ccac9dcb8dcaaa7c5044ab9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, 4, 1, 4, -7, -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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b3accf36e53649f5688d012e5c6dc3713aabe54b357f32fd9ea1c2bd43067809","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000116"}],"task_id":"vlr-formal-v2-0000116","trajectory_id":"vlr-formal-v2-0000116-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:af45979616e99424f8727967de413eee65bbe26c9be261f05daca012e8867055","sample_id":"sha256:c991c96d287d47d1d5d0f1232cd7ecc8477966b95ffd4f9d2f14a0e2b7a31503","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:3afe0300e5d108878d55a9096f05d449a791914ffe2d280b952f6a547ede8d48","candidate_id":"sha256:87a6c6b57ffe735d3a06c8f0700788c5a1781f422e2ed6344bc5283af1279b3e","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    if x < -6: return x + (4)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-1)\n    return x + (-9)\n","verification_digest":"sha256:a9900e379db2f827b6bf3e1e0af8b99564d0d80fa5dfe1ab8c8d7f2648553f54"},"incumbent_state_id":"sha256:83ba8c4bc0692642c92a6ac88e4cb59b0ca237a95361ad0546e756013262a122","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -23}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": 9}, {\"input\": 27, \"output\": 36}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (3)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-1)\n    return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:26bb959fb56987dbaa1abbd14c3f4693e9093e032cc678893967b66df7820849","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000120"},{"accepted":{"artifact_digest":"sha256:2a69288ca4c52ca3f4b8fd82997eab5a8df423fcaaf9e6dc0df4ba0dd75163ba","candidate_id":"sha256:7a42e74c7523c06f16b597b439ea537507548b0d9b2765a8f48d8a3954264e77","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":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-1)\n    return x + (9)\n","verification_digest":"sha256:7b93c8bda6d63cb884a89c92ecbce92f340e8943f8b5fe431ccb228a3a8a2157"},"incumbent_state_id":"sha256:87a6c6b57ffe735d3a06c8f0700788c5a1781f422e2ed6344bc5283af1279b3e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -23}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": 9}, {\"input\": 27, \"output\": 36}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-1)\n    return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:46d8acaf339628a69daa7e68883b4623aef18106635cbfe8f0746ede69e49f80","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000120"},{"accepted":{"artifact_digest":"sha256:a49783d0cf177ff5f27930488568e7263bff719e2541658b9d415537318b418f","candidate_id":"sha256:81f63b08ddae8232cd08d63c10fa0113657bc13aa162ff793c100d04ba9926a3","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 + (4)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (6)\n    return x + (9)\n","verification_digest":"sha256:274bd04c2e9fbd361a75779d20d140bb06761cd6314d4b6b14678d58affc7743"},"incumbent_state_id":"sha256:7a42e74c7523c06f16b597b439ea537507548b0d9b2765a8f48d8a3954264e77","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -23}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": 9}, {\"input\": 27, \"output\": 36}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-1)\n    return x + (9)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d59e6b7d612e6fe89b3949a265898757ddd9cc5e085e7696381751d3c422fa0c","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000120"}],"task_id":"vlr-formal-v2-0000120","trajectory_id":"vlr-formal-v2-0000120-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:b00dc7d035643bd349a5445c7451892c03208982c77afe9ae54d076b1b3834fa","sample_id":"sha256:106eec3dc4dcedfa46e71c1391e049edaa7617086332dfda0758bce54d983bf5","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b80273eb745236f9bd869d9a8f590e27b90ac9256f35b93c26bd86bddd28d834","candidate_id":"sha256:f7862e4cab1ca9eea0de08b81ca7a875111ae7f90df9bc722479011fa7c6ec96","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 8, 1, -9, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2b8361c7f1d0041e5ebbbb61d233b1289f31c9cc579b78f0c16228fdfd886eb7"},"incumbent_state_id":"sha256:9a9a52874aa00958163cdc654fbc65d555c1b5c40573d865cc55a08e0ba2ac7e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 8, 7, -9, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1a98dd4c5ebd1eb970ce31cdae9dc56492d9ab1c6fe33681602953a9f36c8c3b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000121"},{"accepted":{"artifact_digest":"sha256:f81d530c5b14cbb7d9d3b04c60f1ded7355896897dc216370020670ef1ec1df7","candidate_id":"sha256:7d7726399d7ee3ab98ac803cd363799b29041f0fadfdfda464997fba4fb99141","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 = (-1, 7, 1, -9, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:eda411e54f50932b554fe468eb835d886574111bb2f8b6bf2755fc8c9af59c18"},"incumbent_state_id":"sha256:f7862e4cab1ca9eea0de08b81ca7a875111ae7f90df9bc722479011fa7c6ec96","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 8, 1, -9, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:90624bfdc22ca9bf9954fb55d18d649d11ace7dcf32120934adc4b29f1ee3941","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000121"},{"accepted":{"artifact_digest":"sha256:15a03ebbb9e58f4c08f76bc420e899793cc1a1829f9de85cc559f643582ec3c6","candidate_id":"sha256:6d26c599e98f4b6e5c7aa27399477a716b784ec9ef24227d7f0ff07819b53ade","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 7, 1, 0, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:1c7260de4691cb4000350e320d7eebb3b821991316285a31211a84e1c0baee49"},"incumbent_state_id":"sha256:7d7726399d7ee3ab98ac803cd363799b29041f0fadfdfda464997fba4fb99141","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 7, 1, -9, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6722733fe3c0eabfc96361809a20262a9d92d42b3065ae2a1414054e78bfc84e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000121"}],"task_id":"vlr-formal-v2-0000121","trajectory_id":"vlr-formal-v2-0000121-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:c21f867728489f5328408463c26bd53836f1a76912d65215408018ed97e8da81","sample_id":"sha256:a2a59d63f8cc1f59ceb9f9b275bf46b3a4aaa285c152a65639ee7ba9e1107f7c","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:674809828ff292eaf7a30910b18e7813a8365679e158db48050b12291c673b7b","candidate_id":"sha256:b84bb0be1b0a69b2da2478bb0f26fa78276218ca5d8dda6fef40a206d27e839d","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":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 4, 4, -4, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:79bdd96ce2a703367c231cdf4ebdc00caae96ffdb46ee6f1aca254972c89f8ae"},"incumbent_state_id":"sha256:4de9be86a1828ca6905c4c9778812de5089ee99217240e7cdf66af66e0d8c750","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, 4, 6, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3d33b01e41aaf0bfa89b8c8646a671d5618f6627faa400c7dd981a0a60d98365","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000122"},{"accepted":{"artifact_digest":"sha256:bf503096e950158e01869064d5ae111b63a34760115e84525a9b1892dbb886d4","candidate_id":"sha256:7cabbc79b36fe841029582219c3e6d46dae5db6e12035e86da971b44508efd79","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 4, 4, -4, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:078bf2348742dfb1d34ae27c7d3fb134f87d014c49f24ac2fda39a2450a4f15d"},"incumbent_state_id":"sha256:b84bb0be1b0a69b2da2478bb0f26fa78276218ca5d8dda6fef40a206d27e839d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, 4, -4, 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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:97e550c17a97797fecf537c171fc1dcd11eeb94ac6a7e4b0b44f0d75db91f542","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000122"},{"accepted":{"artifact_digest":"sha256:37aef51da8d6bdcb2e5807086f5482774d3fc2d64a35ddf8c31d969ced1b3125","candidate_id":"sha256:f0b9fdd2c1c508aea073d282bac549f0eff0b526b037ef73016d1f96b8b75ee8","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 = (1, 4, -2, -4, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:acd3352b2a7cab1f03dd2f5d8a8ad551ed1733ad8df144383cd022827919382b"},"incumbent_state_id":"sha256:7cabbc79b36fe841029582219c3e6d46dae5db6e12035e86da971b44508efd79","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, 4, -4, -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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:560f50d3fe0771ea86e20126c03e59b39809173f8476252a6501dbc7e530984e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000122"},{"accepted":{"artifact_digest":"sha256:2a956d455beb92dcaa59da20d8310002ca6fc138c1cdcfc829df6fc1514ceb77","candidate_id":"sha256:9e3587d16cb686ef1a6308545f2d8fce4ac01fe9b44ebbfe50fec85f72875e45","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 = (1, 1, -2, -4, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a9ac79ca7e8890b629afe4b468b4bee744a8a94df8eb64915fc5dfed11a2891c"},"incumbent_state_id":"sha256:f0b9fdd2c1c508aea073d282bac549f0eff0b526b037ef73016d1f96b8b75ee8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, -2, -4, -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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:46be0db84086668ad6b8df3e4cda1237dcff6b6b02fd22b1b78b58bba3f5c17f","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000122"}],"task_id":"vlr-formal-v2-0000122","trajectory_id":"vlr-formal-v2-0000122-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:05edaea4cb3db8397f62d10bb01e0ce2e76b4fb02c1514dba3654f85ed3222c3","sample_id":"sha256:84a46ce87b063ee9abbd97a2a60fe50aeab5bf949b0079367806ed7d9d80dbbb","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:276653626c3a9f923017df5e47c70ec3c9142c4732b28b2823a1d03f41fd2488","candidate_id":"sha256:d850c9ab0d54df7e604745d382f7eb6ffd814b2692a014e6a67390accd5e2e2f","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 = (8, 12, 9, 14)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9f517579eeb8bbfe783b38b989bb1b608b8fcd5fd7639ff35785f3210f766e5f"},"incumbent_state_id":"sha256:f6ce1f7b4f5d8da8fef0c8d998caea4c9f0935d188c1c61bd5b1b798be292e07","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 13, 9, 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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:65a995449b9a2ffc01a0ea24a3f6fe1dba7c20498b0b20fe51e77b77c5daf74d","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000124"},{"accepted":{"artifact_digest":"sha256:74ed7a98612fce6abbe3d3e6f6ddbbc5ed0bf895863bd63194f003eb857b79f8","candidate_id":"sha256:26a7025c48d80e4b9ed59adc21180e54ac02283a009388e913207c29e0cdcd91","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 = (8, 12, 9, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:116793032698cb02f095176b45f17a903ece799aa6fbaaf02213f2f95f4667db"},"incumbent_state_id":"sha256:d850c9ab0d54df7e604745d382f7eb6ffd814b2692a014e6a67390accd5e2e2f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 12, 9, 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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:27a732206400879fbffd2c78cc4b036d201b6a139c1b35f28a8028ea6c8ce2c7","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000124"}],"task_id":"vlr-formal-v2-0000124","trajectory_id":"vlr-formal-v2-0000124-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:976be2923ac2c13ed7de8937c1bf4b3dfe7472a728c13303f1110a83f14f2ab5","sample_id":"sha256:80574dbd39f68514a6a6cc6aefdc208cc8eda9bf44fb3e03de95a803e4ef87df","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:de2640f530cc8a55665a3e15f94b36494805f6817318badb77e98303484534ad","candidate_id":"sha256:55cbff40a3396b902e0a8e7d19f7bf8406b2c8d2eb518fb8430e58522f256b47","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":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 1, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:0822ad4d5df6a29d4ff70d9841db2779805e1ebdddaebf345f0c218ebcb7dc22"},"incumbent_state_id":"sha256:f713c79463a16f2336b517581db02f292f48937abf2c40a24a6ceb8f10735e2b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 1, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7d82b7e1a2440335b6a99daecf9b5b0c4d9bc73cbd69b5b763242aea403e36e7","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000125"},{"accepted":{"artifact_digest":"sha256:ad7458c63c489cf77b0a5e3507fc29507b4db0bd8c14f3903d94c6a726a58683","candidate_id":"sha256:dca7f580972d51da415fa45326dc08b61daa0bbdd7f2977cb6b5cce9bd74845e","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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 1, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3dedd64d385c821ad3e788377f0d1341d2bfa2acd860c42d69c632d0dec4f556"},"incumbent_state_id":"sha256:55cbff40a3396b902e0a8e7d19f7bf8406b2c8d2eb518fb8430e58522f256b47","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 1, 3, 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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e10f563a090d9e32ac9d2fad2004639109655f0213ccdd2b7c0ed3ace0ac1fe7","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000125"},{"accepted":{"artifact_digest":"sha256:21c09a702cb9559174dd0d80ee07d78afa7a881de61528c2b6c100c3bd424aae","candidate_id":"sha256:8b6147d65d9285c1327f8c12675559496b236656e68758fbec2be9b1d13538da","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:fb318273d12305a8d1a87cfe0bfd28774c277f1b5f1027f25e29c6f574aadce4"},"incumbent_state_id":"sha256:dca7f580972d51da415fa45326dc08b61daa0bbdd7f2977cb6b5cce9bd74845e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 1, 3, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f02e0016b7aa5002ba70ea6028520d0ba56b1e52a25ca69b30d1848d3c839cc5","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000125"},{"accepted":{"artifact_digest":"sha256:8b2571dcefc6deb12bb5072e4b2fd61b7866d455f09669f437022f02474a3210","candidate_id":"sha256:6a4dbda0811c6fc5a199630e491e40e3510287387ab7871d49544e11f0160ec2","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 = (4, 2, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4abc77617b21d7fbea4d0b70e7a77711acef4a0d473c1870ae4f930f21efda42"},"incumbent_state_id":"sha256:8b6147d65d9285c1327f8c12675559496b236656e68758fbec2be9b1d13538da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 3, 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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1accdbabbb956e35f0c2395b9fc3cd7c1e9890ba44407c3215adb82144c4132d","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000125"}],"task_id":"vlr-formal-v2-0000125","trajectory_id":"vlr-formal-v2-0000125-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:9621ec7931a6fd9225452cb71ff3f086525b55c962b947c408d31f1c656e812c","sample_id":"sha256:93bd16f9cf9d1559a5054987084416a705cc04bca63ab9ede93d2bc9f5b83632","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:0e8f9b98e00402a3232c917ed150fb58be41a26c07beae13fe1f7debc2387981","candidate_id":"sha256:26e13c7bd2678ea51973bfa9333b4ebb6136c68b94a6bc7fe380cc1d4cc95dfa","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 4, -4, -6, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:622c7f251099661e179290d63c0156bde5d6cf10520380a51d573b8179e5e8a6"},"incumbent_state_id":"sha256:ca85bb368e236cf74965b6e249d02b8c3cb11440b9074edf8bd4f7fafc1b1b54","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 6}, {\"input\": 4, \"output\": 0}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 0, -4, -6, 1)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fac6b117811d95588cb1c1c2ddfdcb54f101880436823d528d1c34d554ce14fe","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000127"},{"accepted":{"artifact_digest":"sha256:b3376254893b6064407e445390ea9cef329ad03f3f2dc212490b4c5e2cf6079b","candidate_id":"sha256:983a291bb3301e5e09e05240e5db08993031412114bd4c1eed6f5e7b52d9bd66","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 = (-5, 4, -4, 1, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f4e4a2c6bf7f373d63e99a4058d6df80d200a572a9e821e920b34609d0da1ceb"},"incumbent_state_id":"sha256:26e13c7bd2678ea51973bfa9333b4ebb6136c68b94a6bc7fe380cc1d4cc95dfa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 6}, {\"input\": 4, \"output\": 0}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 4, -4, -6, 1)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0aa118026fca141eec214e9e99c47f15c780776f27270a31e61535b4504cf9bb","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000127"}],"task_id":"vlr-formal-v2-0000127","trajectory_id":"vlr-formal-v2-0000127-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:5695e686251e29fff147eb668b1b5c9edcbd541ef0882c85f9b85657071ed127","sample_id":"sha256:d2eb6e4a9d9529d25ded29f3f54a066be1ca34a0836a27666cb0d3359984ee40","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:8f561c2d278c5d46bce5e1c8a2a3521e4c1bb2544e8b8e7c535a7e23da93e5d7","candidate_id":"sha256:3f15908f04af929abb06f471618eef456b1245bcf44166a9d7642e05afe2de5c","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-1, 4, 8, -7)\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":"sha256:40e73c985f310263e5a4c1ff9c926bcb7d1af32252928500e5392bf011626d2b"},"incumbent_state_id":"sha256:67c8838c330d1c71b65fa94bea5b2ed62f3af98c519922b92b1ef111fb55c105","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 4, 8, 9)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:aa769c43cb1a33277e268a8dbdcedfdbb006128e51126dea70809d69aecfcd7b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000130"},{"accepted":{"artifact_digest":"sha256:bd3f0a8e80308750a4f6d525df9c21bcb81a0d012e157b2adb9e18cfbc7958e5","candidate_id":"sha256:e0ce47021803a29ae11857e929f81b80af2009bcd809b004ee95aa4a7f64d7ae","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":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-1, 7, 8, -7)\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":"sha256:75e732cb25baccc8c0f080bf263a9036440e09981439385bed19abb98bee5abe"},"incumbent_state_id":"sha256:3f15908f04af929abb06f471618eef456b1245bcf44166a9d7642e05afe2de5c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 4, 8, -7)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:22e068d58f271f0ef930f1d880703d9844d8176e98ac8ca9eb0f6b6014db0626","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000130"},{"accepted":{"artifact_digest":"sha256:3507c5c00f5cab38f2e8845e6ec521acca559a9a3813229fd7a60393112fffc6","candidate_id":"sha256:a1535d7835fa023807c4187ab0543e765ed27ddce008d9ce8602841050d72756","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 = (-1, 7, -6, -7)\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":"sha256:75332ff51be4e21b27b5d3d48c978c476a7b064cf036d5bd093b1415a02e0fdf"},"incumbent_state_id":"sha256:e0ce47021803a29ae11857e929f81b80af2009bcd809b004ee95aa4a7f64d7ae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 7, 8, -7)\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_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:95160a43a84e8750474b52b8cbc86ac7f30d91e2cd21f1c20ec8dbb1a1dcbb36","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000130"}],"task_id":"vlr-formal-v2-0000130","trajectory_id":"vlr-formal-v2-0000130-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:6addc5cac0afe2b2be84c708e63d11b310e8ca63e524f0c14fa4d665bc3f7c3a","sample_id":"sha256:1e938fcc7e8c44d8dfd6998461c0f092536d41d635839fa32697af2724ebc74b","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:1382f357d9c341dd6dfce65e839b4d3d5f0c80e00a6b57263c3ab5c5bfccc1aa","candidate_id":"sha256:7b5687f702ed5ca9efd42dbe4544e0d9e19cfd7db27605642831cc6ffad8e881","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-5, -8, 6, -8, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:17d35f35b42b267755344621af7f1fb63a87adcd18621144c1056cf2d48c9166"},"incumbent_state_id":"sha256:9b8da0c4d529ba22ce2f5f495d38741263b6ad3eb93992548f2b7e821a95132a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": -5}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -8, 6, -8, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6bfe4c47bea509b5b9855d1afdc0154801e6ee2f38ea8151b34ada6998e879de","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000131"},{"accepted":{"artifact_digest":"sha256:459ed3c313b8eadafc77d158d254762a52d655bf9a7bc3cdc35d51f8c165b4a5","candidate_id":"sha256:1373f2c9986e69f57b2b96a67d27d3d76c0a897d91322b7c20f61868978d61d2","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 = (-5, -4, 6, -8, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:03caa09bfffe4c9bb959955791857ca251e103e51e5f8a651b1dc52ebd894ff8"},"incumbent_state_id":"sha256:7b5687f702ed5ca9efd42dbe4544e0d9e19cfd7db27605642831cc6ffad8e881","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": -5}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -8, 6, -8, -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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2204657585091ac04d04a82c3042f7e4a7d8d4edd2bcbc4c5ce87a96d0f588af","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000131"},{"accepted":{"artifact_digest":"sha256:79e94e18f9449eff4488352ace4b277bf170689087b74c5337b403012079244f","candidate_id":"sha256:8d36e791e9c2720263d635f8479ef5a8be32243183eea84cd1b4f67993f74694","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, -4, 6, -8, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:88fef32bcb1635b3d79c8c081dc88629908f4f52340a83e007087db210c747d6"},"incumbent_state_id":"sha256:1373f2c9986e69f57b2b96a67d27d3d76c0a897d91322b7c20f61868978d61d2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": -5}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -4, 6, -8, -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_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:053bd21bf07b696618b66ddd4cab2d5dba5d55f4c90b9e2b9135e1ef15c5bf2b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000131"}],"task_id":"vlr-formal-v2-0000131","trajectory_id":"vlr-formal-v2-0000131-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:c336bf99305264238aa8ff896eb0b80cdaeff874fad1aa0132eed54b2252f90d","sample_id":"sha256:f41108b09f2b29d35c6bbcdb6281f5f7c8a860821a4f5cf1f46ac5d98c1ea623","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:98ef1bfbb53628f5e7b805763afaa9badfe7b61345695cc3383f5543260e1b85","candidate_id":"sha256:4e2ad948aa7f3effad5d16463617920d7a8cf688a0773b9200bdd5fe52f5a71a","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, 1, 5, -4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ebbcb89c54d12f893c3991fe072e9a3ccb8fe9d96e9e09c400d71d99ec3c3134"},"incumbent_state_id":"sha256:5f234aecbd2991f0e14b0d33cf284cf2a11a17fbdb9032f40b7f7e341bc31adb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 1, 3, -4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:64c7030b5fb8fa4b538b27f245668f102651c7ef5111e662d16288bb642fc850","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000132"},{"accepted":{"artifact_digest":"sha256:84dd34dfec00ceb734a63ed497af20a41aa83e682d55045c4d6cd897a9427766","candidate_id":"sha256:abd83c2ade90d9c3852082bd48010ac3c30e240fd9e6b17e48d9cbaaf4f1328a","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, 1, 5, -5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9889834e74d1d1965e96700e90550b283b3644dffa2d4945440c14727fd0b1c2"},"incumbent_state_id":"sha256:4e2ad948aa7f3effad5d16463617920d7a8cf688a0773b9200bdd5fe52f5a71a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, -4, 1, 5, -4)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fc68b35378c04d600990ebad25e6014f5d83a2ac6b8948e18b664318bb75280c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000132"}],"task_id":"vlr-formal-v2-0000132","trajectory_id":"vlr-formal-v2-0000132-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:67da6050d8987b010e084761379b7fc6a791cf13ab9480c0282ef3e583db662c","sample_id":"sha256:9aa014fdeb1820de17081cc7c829f3b7f31f346e170bf67c93faff07c0dc5ee5","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:717f94305fd1610df66b8466dd3c681ebd1238cdf6fd855c76fbcd45ce53c15c","candidate_id":"sha256:24ce606e2a603440845ad18bf7dd97e0b8d7c9be192b47fb496e08e963991184","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 = (2, 3, 2, 4, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:493b5128b4325f89f9004a978d945f557927bd63fc8cd3ea29498c26bcc8ff9d"},"incumbent_state_id":"sha256:1fac4ab2c6b3fb5987348f4b55c8a3d4b9df86798265c3323bf72d6ef7b23de1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 3, 2, 9, 4)\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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6153ed27447a5702fbacc560e0190c46d23e86b07141d02e0af377f1867ef6ea","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000133"},{"accepted":{"artifact_digest":"sha256:0b497efac3c52c26a2c7e4806834f362a9d9804423b7fde812ba468fb1fda9b8","candidate_id":"sha256:e45bdb73f92db735f004f973ef39f4692025341e46dc139b8484deb3ded08eb4","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 = (2, 3, 2, 4, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:db5115188dae5a5657e87da7667dd291c96842b4cc60f3af8dca16c8fd5e75db"},"incumbent_state_id":"sha256:24ce606e2a603440845ad18bf7dd97e0b8d7c9be192b47fb496e08e963991184","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 3, 2, 4, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9ec4a740075c739a61a0f07ab3f930f67040676c79d4f430a8ec946f75494e10","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000133"}],"task_id":"vlr-formal-v2-0000133","trajectory_id":"vlr-formal-v2-0000133-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:0b7c80859e9545991c8bd0af1109d0c7426c5e7eb755c4116d36589cf3c31dcc","sample_id":"sha256:8d4b1ddf1af22ec6f6660def199d4826c83e9fa6ae07a7384bd4c0b7ef4d53a5","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:33fa68d71ef143b8839aebf1f8bda8ed97d3ca756f041150ec7a351ac3a6fc4d","candidate_id":"sha256:00029b0e26c66992100f25a98a4c165e31d96f5fb86a536240c9c77e24b0bc47","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, 2, 4, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5ed83d05b4ec23ab2957d9a9e57b3157fdd26c506ee368d526e3c8d3d61a3c90"},"incumbent_state_id":"sha256:b389a7f1eca4c18c77163c25381e43d4093dac64358b8530fad5a2d0d1560b0c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 2, 4, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:69054990e4a74502ac0e6af5b722a347c861721c4ed3cfa185cb33df0c1e50a9","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000134"},{"accepted":{"artifact_digest":"sha256:f0a7563a784b88dcf22957ed5c32ce36e90671b5317e3377fd1305a3f08b55d9","candidate_id":"sha256:fccf19a2bb7ea8c515b2934b319cb599011a4867b045da41a7f37c1d000dd900","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, 2, 7, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a00b37bc05766d5b7a207dc328b24700ad432412f45d918809ec2f9361892e6a"},"incumbent_state_id":"sha256:00029b0e26c66992100f25a98a4c165e31d96f5fb86a536240c9c77e24b0bc47","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 2, 4, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:963395eddf498bc7bb6444434df77924f4081286d0e80d99e3d412a194fd5605","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000134"}],"task_id":"vlr-formal-v2-0000134","trajectory_id":"vlr-formal-v2-0000134-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:3e8e538f3391a0c09c3023f82f470eac2809b37fa9b5f2923f39bd01ecbed9d4","sample_id":"sha256:289792c232950fdeb2b817be0eae071f4a25a7a9a8c54024c7b6e2a8f09981c5","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:be3d499553130ea658b909737a5a15866f6fcd6036a221094cb9229f62425e1a","candidate_id":"sha256:500b36fd037e031a9d05032a362ddcdbaad9df905e0af564179479a95ca89b17","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 = (2, 6, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:98934e24f17a9c3ce292e37d6f34dde16d4d29cf593c5abb1b7cfc7f7c816866"},"incumbent_state_id":"sha256:f7c60d5fa8c55c516d282decab1510d6a6510342779a2f0232cc12c05cdb0826","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 1, 2, 6)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fa85476c5059d7892a27c73a2bed906045b695a0cc4d3476f99c4d941953c1e7","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000135"},{"accepted":{"artifact_digest":"sha256:fdac94841a6e5b2bb0a49f1ccdc25b31493fd807940a4a07a7960406f5f0926a","candidate_id":"sha256:d756c7b8e7f968b148aaf756f3a70e81c5900db28f395ab34022a83e476282ee","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 = (2, 6, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:770db802b1d295d860482a52f2a09d84cb947ab0ca2158c0746605c80adf21bf"},"incumbent_state_id":"sha256:500b36fd037e031a9d05032a362ddcdbaad9df905e0af564179479a95ca89b17","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 6, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:df6ba4f97c5f045e7260918d9d5ffe789b3112cb0d34bba3f79f526b9c535be7","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000135"},{"accepted":{"artifact_digest":"sha256:344419084ddd14f7f4268bab67df29c7d98c74b64c29df08b249a45f652fe25f","candidate_id":"sha256:48b5500f8b9d11f6cb9f4a3ff19d7fc35ac46543c9fecebf5945f346293eb0ed","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 = (2, 6, 5, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2fc0fc4cdc52d885b37910746489534e9fac8d417e6bedc203d9902908380619"},"incumbent_state_id":"sha256:d756c7b8e7f968b148aaf756f3a70e81c5900db28f395ab34022a83e476282ee","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 6, 2, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ed711c56e6a6c36279ee8fc804e7469fe3eb4071888dcfad1e9856d7c73f9d6a","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000135"}],"task_id":"vlr-formal-v2-0000135","trajectory_id":"vlr-formal-v2-0000135-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:f67178ce4b35171f145327edecadf1cdaf03c9890e764c6530f94bbb5c8e590f","sample_id":"sha256:45b045d974e17eb623db2b6d6bd2d36c51bf902e55616754da8421e63033029d","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:84482d20bb374e6f57a58299c3e3bfdcf94b953ea9f495cc3503df997c4ad674","candidate_id":"sha256:2e40fce9bdc8d21afb1ce0b91985c8687f92b1491e22fe78220f222cc2591a35","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":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 3, -2, 7, -5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7c53e0664b08e3f29f877fe2d1bdd9645b854a5e3335fefbb35779e55f27eae5"},"incumbent_state_id":"sha256:a0694b1a820ef0ec527d8b0e15639ccea83c2946ec4c99422560eb8821e7f48d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 4}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (0, 3, -2, 7, -5, 3)\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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1716a496d0c9cff61454227c8a143538dae7e6b081fb86cd6bc77d1fbfcdd879","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000136"},{"accepted":{"artifact_digest":"sha256:1fc62ea26d2e9895976cd61bd12c736a7ba505b64ab71f12f62120e46120233c","candidate_id":"sha256:96a3ce735b68ef770196994bc36b06a4b4404d26ec32e9e897580fc4ace9d3eb","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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 3, -2, -4, -5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:cfda14e8b7238a92ead0c94eae8a02a14155e3ebf85fdd7b181b412b9c7f6639"},"incumbent_state_id":"sha256:2e40fce9bdc8d21afb1ce0b91985c8687f92b1491e22fe78220f222cc2591a35","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 4}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 3, -2, 7, -5, 3)\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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c33fbe0998762b45c1e21051caca9bdc5b891523d17f7675d1a26df1bcd7ffa9","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000136"},{"accepted":{"artifact_digest":"sha256:6dd50a1d3ea702f9e07b7c1e266f8917de6ddeeb2df4f6daad4a4b2094da7067","candidate_id":"sha256:81aa1e2c5b49ff6133f58ef24f93b18c8bffa3ac08083fbc39b48301d98f1c41","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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (5, 3, -2, -4, -5, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:10e5372bbfcde78bc09d9a17985bccfb98dac9074b3ccc598b350301e002e7f8"},"incumbent_state_id":"sha256:96a3ce735b68ef770196994bc36b06a4b4404d26ec32e9e897580fc4ace9d3eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 4}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 3, -2, -4, -5, 3)\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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:34a8a841b87a10206cc059dce594559af53dc805a3a228476294642719b20929","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000136"},{"accepted":{"artifact_digest":"sha256:31695ed3f9af0be740c3fa90016c4ce241f2deb88325c15f72cca7577d3e6550","candidate_id":"sha256:2f7574ada10a3ee70b19021e63953c409235bb5f823705e7c8b6ea93afa1db32","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 = (5, 3, -2, -4, 0, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4dad0d7cd44b1e7445305b1a81bbad97ec06c14374323b6a4ec449688939b0b5"},"incumbent_state_id":"sha256:81aa1e2c5b49ff6133f58ef24f93b18c8bffa3ac08083fbc39b48301d98f1c41","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 4}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 3, -2, -4, -5, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:28cdae87b18309ff49429590f6dcaeeb884089213b29da19771ac1d075f7148b","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000136"},{"accepted":{"artifact_digest":"sha256:13cf2c6098314caedbf2ec94ec1fedd1e7fe25c9d4b674882ce8f3857b969db9","candidate_id":"sha256:74c3d933a032ed8b3715344166cee075dc9e6570661a5108f9805a235f1bf4f8","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 = (5, 3, -6, -4, 0, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ac848121df7a73cf6ba4c4561e1fa95c94b2eeb8252aab15729c61e4ceb26acf"},"incumbent_state_id":"sha256:2f7574ada10a3ee70b19021e63953c409235bb5f823705e7c8b6ea93afa1db32","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 4}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, 3, -2, -4, 0, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:31a18965f2fce854d4098fbaf5dc3ed590409829946f568ef6296378689c54df","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000136"}],"task_id":"vlr-formal-v2-0000136","trajectory_id":"vlr-formal-v2-0000136-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:f4e10c45f03e51d5d0da6f1904254a14ea58c939c32a3bac9662db7ede41e7bc","sample_id":"sha256:4b02315776dc7dd08024edb3b29789de60e92794a14f72ba93bc05e46501d5a7","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:58813362b9baec4f42a33ac6d6bd6aa8bb79b13280d42b2d606367a9a358b730","candidate_id":"sha256:2d52480f07f0e44173109677d1d75104251d4edf8e9316d4af64a9ec518886bf","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":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, -3, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0bba066042054262e210fd8a513c3654af81ae0112cfe3236fcac8c609460f6b"},"incumbent_state_id":"sha256:d0ef46a88dfd877b08758eae87ff53b5c2d784819267f2f17cb04b5cbea698a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, -3, 6, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e8daa2c5edbfa3a73f7475db511883508b9c033227c54087dfff4e8e173eb347","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000137"},{"accepted":{"artifact_digest":"sha256:10cd5c6364659520ed8e6297a0c50076da5c883ff9e1fa728a84ae1d4b6dfe07","candidate_id":"sha256:a1038b97b5974125419bf9f119a07173462b3826755011835f6e5dd3f6e82419","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, 3, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2ab468c64d8b0002e13fa4fa9f2c67851bb7342dd7890e59e9fe5e97cbf54a41"},"incumbent_state_id":"sha256:2d52480f07f0e44173109677d1d75104251d4edf8e9316d4af64a9ec518886bf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, -3, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ba17b63035f202e624e976f0eee88a56c83e381362e76c10ec02295e45a0ddaa","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000137"},{"accepted":{"artifact_digest":"sha256:f4ebf78f955d9be839083d36a925627e570718ee5b9bc7dba1ff2237e7c22272","candidate_id":"sha256:07bccb08c468063b582753bf8ccc9071484e87e08592fa89ee5e8f47be3286bd","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 3, -7, -8, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:36ffbaaa89f66f975aa58be99ef631990be6de19e9a791b9f5e4cbd0cdb7d408"},"incumbent_state_id":"sha256:a1038b97b5974125419bf9f119a07173462b3826755011835f6e5dd3f6e82419","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, 3, -7, -8, -4)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6e7d29ea9eaf5070ef41e588dab4a8f35b2d486b4c31e8f136d1068ac10dc13e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000137"},{"accepted":{"artifact_digest":"sha256:95d5a296b00e912046dd711b867f725b78a7678543fff876907e7b5c6e7f126e","candidate_id":"sha256:9fcada330b0a7ce7e4435183def8850787cd67c69f300ddbbc40285c43c7b21a","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 3, -7, -8, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d6fcf22e1cb0ac454b49a1347e7e93639923a2001615c3a9b7269558715c2765"},"incumbent_state_id":"sha256:07bccb08c468063b582753bf8ccc9071484e87e08592fa89ee5e8f47be3286bd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 3, -7, -8, -4)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6525d85057669bd12382569d8c4901a9c476c259e9e47dd11017c902659eb696","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000137"},{"accepted":{"artifact_digest":"sha256:e1bafbda31313aec595d6f4715b3bd327b33a99475b47db9d1ee8f54bc20afa0","candidate_id":"sha256:49cf1d47f9788522495de443412c7133caab487b0c28a165592fa54fab50056d","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, 3, -7, 5, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:07449f7337bdb48fcd011e070f715d25c1fcdc73186d4d010a1cad8d701a44e6"},"incumbent_state_id":"sha256:9fcada330b0a7ce7e4435183def8850787cd67c69f300ddbbc40285c43c7b21a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 3, -7, -8, 2)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0f2e98f3c7b84efa4915e6e88eb5a9b702cdf2b5e6f571a160e83cd2d0a2cac8","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000137"}],"task_id":"vlr-formal-v2-0000137","trajectory_id":"vlr-formal-v2-0000137-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:a6cd0365cd237e3011b1baa2ebc967da8580b36f4d9c7678b790ae0d14379bee","sample_id":"sha256:5805b118238bb2daa073aabac7677d9fc8ded31c7d3a76c4e1c4eba0d6161cac","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:f8f933cdd573b1ee7139acdc279f4880ae80934d6fae1ede89fdbb3ff70d710b","candidate_id":"sha256:53cd874a320ee0ba53c2f86eaec852c556468a049682836ba977d410f9981d26","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":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-3)\n    return x + (-8)\n","verification_digest":"sha256:5804362bc21eddf0099e532410c87b8a7765476e2b4f72bc176aeed70bd7825e"},"incumbent_state_id":"sha256:60101a77c03b277c2d279f2a076c363f1f1144f4de0dd58f881ff91a3d9c1c9d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -27}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (9)\n    if x < 6: return x + (3)\n    return x + (-8)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:19fc37647da5687c384d2318f0a04e9325dbdb399024768be88678c928419ec4","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000140"},{"accepted":{"artifact_digest":"sha256:139de65f148ef485ae3e5639d800c8d281511ce947defd0df487a9f5d0eef08c","candidate_id":"sha256:82023dbf20f8b365e1139a0d32b423391cc9467e240215284c616734652946fe","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":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-3)\n    return x + (-8)\n","verification_digest":"sha256:5d17c1deb0b73208adf7a10eccd7e6f39f9ea8b19def704748f03e751f0aa497"},"incumbent_state_id":"sha256:53cd874a320ee0ba53c2f86eaec852c556468a049682836ba977d410f9981d26","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -27}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (9)\n    if x < 6: return x + (-3)\n    return x + (-8)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5ba46e32a8965811503b767a62c9e18cfb1afc80b2106d6466112ac0e5fb19ca","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000140"},{"accepted":{"artifact_digest":"sha256:45230881c5ab5e3e121de435a0d5f6dfd372e75fc145064518676efd0eafc822","candidate_id":"sha256:99dc2d66ce37e1db2e72a41081b4db07ae04f5934efc33e402da64ada84ae996","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    if x < -6: return x + (0)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-3)\n    return x + (-8)\n","verification_digest":"sha256:a1768ac5d1dff98584e8357f6e8ba129dc76f9197e874cfe860f5c54728c3e0b"},"incumbent_state_id":"sha256:82023dbf20f8b365e1139a0d32b423391cc9467e240215284c616734652946fe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -27}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (9)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-3)\n    return x + (-8)\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_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9e46b8554e30841eabc4c7043d94ee0484022ebc34a308abaebea0b8811dd20f","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000140"},{"accepted":{"artifact_digest":"sha256:60c4a7c948a9a8e8344aba7e3618e530bdc1e42dc79631ee6fb0f46434e2c458","candidate_id":"sha256:55f9096fe4ca2a079afcf841c7b77ccc78edc1eb60c7a633f5ecc02e23a081c7","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 + (0)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-3)\n    return x + (-5)\n","verification_digest":"sha256:d0db091fb701346894e73e626bfa6d3989fb66c6d2c8fb0a2cfa0490f11a43f8"},"incumbent_state_id":"sha256:99dc2d66ce37e1db2e72a41081b4db07ae04f5934efc33e402da64ada84ae996","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -27}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-3)\n    return x + (-8)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cff512799e3943f55b4f33a6e216e5d42401651d0317e40d681b8506db66395c","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000140"}],"task_id":"vlr-formal-v2-0000140","trajectory_id":"vlr-formal-v2-0000140-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:612d58dc6778b29f1a14a1fcaa586aa46be5b868d5ff767e881bb31e62d379f0","sample_id":"sha256:68c1441499a8c933c76a3ca82d582ff331fce4f02a2848c5231f1ec803a2e569","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c0804cb698249a8a869343dc932014c6b717f010881a6d054dd229c72eec5923","candidate_id":"sha256:8b8b64a39a2f64a709e7612e9515821009fa5cdebb2b68f743311e0c583cb3b3","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":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (4, 0, 3, 4, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dc6c28e6b571239879be8cd2dcbf00ba5d1a0ab57193515b30c37ce6a9f9fa8c"},"incumbent_state_id":"sha256:cc52e851a4086d9acff3b3d9696d967832a43548a5694dfe20e99f942174fe66","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": -5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (4, 0, -5, 4, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:db6a39bebc6175710dc2b48df6103eeafb4a40087e80d26146fdf3cc51abe483","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000141"},{"accepted":{"artifact_digest":"sha256:e4d075d42a0d15fba72f5c2de5bb352a8e057bf3cb3d3e9ade00f35102fc306b","candidate_id":"sha256:a943412f81b272ee0264526b4736068264d1624dcc344e9fb69afee404e34593","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, 0, 3, 4, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d09bac5ba48e3d0f5938de7b8d78e69a8487d9dd560e889e474fd14299a4cc05"},"incumbent_state_id":"sha256:8b8b64a39a2f64a709e7612e9515821009fa5cdebb2b68f743311e0c583cb3b3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": -5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (4, 0, 3, 4, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bae9e0c2ded409b30fb8bff00481f1f08099052034b2d13aaa18dda73edf97ea","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000141"},{"accepted":{"artifact_digest":"sha256:b17b8638aa606d2adece5d5e145a0dc4afbedc6c6ef3933afd2f0c7140ac321c","candidate_id":"sha256:efd8e44c3523b281ba0f24c9492b8872161c9eba12475b2eb444a9212a3280eb","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, 0, 3, -8, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:65358c1d43465b59bc3a03d93d180055dce331f7f3eb608b145db40b5bb3b230"},"incumbent_state_id":"sha256:a943412f81b272ee0264526b4736068264d1624dcc344e9fb69afee404e34593","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": -5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, 0, 3, 4, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e7b88781a82591f6fd1c50d738430c1ab94b8b99f7a2b59550572a35dad851a0","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000141"},{"accepted":{"artifact_digest":"sha256:5c82b617756fbb4c6bfd5d816c45645d83d4447d89c80b60b995e9b0a16a0463","candidate_id":"sha256:c523ebc276e3235dcb7fb817ee7d1986dae46549d6a7768008cb0258ba987761","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, -3, 3, -8, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3cde42bf130ae4d040141775491134c1d36c2fda3998729212727415c535aefa"},"incumbent_state_id":"sha256:efd8e44c3523b281ba0f24c9492b8872161c9eba12475b2eb444a9212a3280eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": -5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, 0, 3, -8, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:201e12964e2c2f75f7f6952c7bef881cf951f4f97f66ad6774007b14419e0f05","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000141"},{"accepted":{"artifact_digest":"sha256:37a78899fc913a916c054ff81eabe0f4c750d359cafead53f0a7dda7fe5355dc","candidate_id":"sha256:ad1507627ad50b511dea90fb5bb6b0299bec164b2416ef5e5693972f79fb80c1","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 = (5, -3, 3, -8, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ac40c895dc0ac66a1aee457de2903e6e28dddc5b35650dcbac236efbdaf15a13"},"incumbent_state_id":"sha256:c523ebc276e3235dcb7fb817ee7d1986dae46549d6a7768008cb0258ba987761","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": -5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, -3, 3, -8, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7e4f73ca1fa4f7235b5e9d81eb405174c138d14f388d78732526c87de0da68a4","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000141"}],"task_id":"vlr-formal-v2-0000141","trajectory_id":"vlr-formal-v2-0000141-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:2d662e7a8a00d2f8f38b9bfd97d8f4a83ff3383230e00a12620790f044668f1d","sample_id":"sha256:28d951d745cc0f15e9e9bec145eb2f0ff075949357e70a8f2abb4fc5fdae3478","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ab250f56ef64d634131664e2330afa13bcd33ce8d86a05e77f4c4820c7d6b2ae","candidate_id":"sha256:f8415e38bcdb60964bac74e7d3161641c4a64472990bd31ad51e32670fc7a29c","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-3, -2, -1, -3, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d4424d4039c492d72519dccb9031e25e597238a3364866b968540a39057cf561"},"incumbent_state_id":"sha256:09b14fa53ad3c40922c60710c688b599bfac8f5d9f243cd7a5a373f286e7d1b7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": -5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, -7, -1, -3, -6)\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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ff5b06c2ad757d0a2bd394e5b26adff553644405def0fb04f26e69dc7e5b0159","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000142"},{"accepted":{"artifact_digest":"sha256:d1b150dcdf6d51a50633aec63d061fe5abac074a4d2894cf5d6acb7755b2a196","candidate_id":"sha256:c060ffa02ca4076e9957593ae75dfcb7e02e7c541964051538e60c63f2fbf926","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 = (-3, -2, -5, -3, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f9511e0717896081d8ab1e504ed0bec41a2f431758dc9e3f746d85971ed1aa2a"},"incumbent_state_id":"sha256:f8415e38bcdb60964bac74e7d3161641c4a64472990bd31ad51e32670fc7a29c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": -5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, -2, -1, -3, -6)\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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:45c0eefc0a1fc9ff4524287d855715886d18e1ec367c3bd07911b6c5320a3105","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000142"}],"task_id":"vlr-formal-v2-0000142","trajectory_id":"vlr-formal-v2-0000142-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:293dfe30e41a9ea7c5f7a3bfc3e3203187992bf4d6b32d7071ea6180c7b975e6","sample_id":"sha256:7693270c1c75da0aa10ed0ffce0795ba437ace6655b9b9b52f4d57cf96c130f4","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:9a5ef07d5a3c120ef93db0fec00c2ced9dec5d9d92bfb70fe9336a920b4aa4c0","candidate_id":"sha256:847816445e292456f3c390d7d6ff24a953bbc3bb895ec58ce63038e29cb779da","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 7, 6, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:dcc6905375cc347bd7875e98d1ffbd6bb970213a184ea6b4be75c52877ccd053"},"incumbent_state_id":"sha256:822988b97ef7a44870f30516becfa52c5a935b772816fac415d4a7b11fdb1ca0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 5, 6, 7, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:573f3088d9fadd20219d2c8c078c0b6c3acd7003433dafcede819ef02605b05d","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000143"},{"accepted":{"artifact_digest":"sha256:ad2aa622bdd9a2e8da0bb5cde6c303958d3f5e0cd1b8995f21af384ff461529a","candidate_id":"sha256:86572af10c57c59e12d008a60104c355de6bf1a1f2b19815c64457ae1a4e2c2c","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 7, 6, 5, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:dca5d46dfaf96c3de6254215f0ed382605593e3516f23fcfe6fb8c49c30efd36"},"incumbent_state_id":"sha256:847816445e292456f3c390d7d6ff24a953bbc3bb895ec58ce63038e29cb779da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 7, 6, 7, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:45673219f888e172129ceae1da711d106eed8a44b331c3dc41b4d1feefce8767","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000143"},{"accepted":{"artifact_digest":"sha256:e13e9b031262c1c40cad085661bf46047a5576bbb6412bbee58344121553709f","candidate_id":"sha256:12a1281bc4c1d793f6d386282ee9030a4e388091020d1a755029dcb9ed8a9e6c","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, 7, 2, 5, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:95c8628d8959f89a6ee90d4b97e0b1d2771f5974f1e2eb26bd05ec2d997f74ec"},"incumbent_state_id":"sha256:86572af10c57c59e12d008a60104c355de6bf1a1f2b19815c64457ae1a4e2c2c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 7, 6, 5, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5aaf21634ff2c4605234e686717728609a31cb1ac7e3bf6bfe9ee087090148ac","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000143"}],"task_id":"vlr-formal-v2-0000143","trajectory_id":"vlr-formal-v2-0000143-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:d57b9a089a079505f2aa3b75e6daa23547461cc29691381eaedecf68413b541b","sample_id":"sha256:421aec18db83255c48b4db5ba32cf643c36b371bd5c422716719d3e62b177854","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:42335db5101971442f35481b23facbd64e493c19ede2998493c1b5b10c42ec4c","candidate_id":"sha256:b07f0f7629dc83c62cc53e57e5e968c00b2f85afd968c4f6d48a6fa432a81366","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":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 6, 3, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:66058ed4ebfa6763462b98a507f2ff121094b98bad59ecd8414ff329cd6b1f7b"},"incumbent_state_id":"sha256:997a0a00f4357de44127e15503d1949e5eb0861fd40af8cbc27eddd3bc01b062","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 6, 3, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3a0b15a489a7bc1663cc0f427bbd122783e4eb0f23074836117b9374313b3e3d","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000145"},{"accepted":{"artifact_digest":"sha256:90eaed26dc63f0eb323cf08519107b65df5e4b3761c12b77d5b000e75b0827b4","candidate_id":"sha256:11e9796ece027fb75b503e2641ecbc707754c0742b5ced157e1e627cf03d3d1d","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 = (4, 2, 3, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2d2d4f243501ca31b4db7d5801f20e573b60f5d8f9bc36104975485fc5754ac5"},"incumbent_state_id":"sha256:b07f0f7629dc83c62cc53e57e5e968c00b2f85afd968c4f6d48a6fa432a81366","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 3, 5)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:79a3319f0f58732d709a1e17e1cc8bae312d2f8ff59cefba95d6e66a9f908e81","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000145"},{"accepted":{"artifact_digest":"sha256:21c09a702cb9559174dd0d80ee07d78afa7a881de61528c2b6c100c3bd424aae","candidate_id":"sha256:3978299e01f533713199af84014f557b4245e8eb4973ad4d5ce99b36c601a9f9","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 = (4, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ba802de06a3a4b33e18f7619eadc594dfd1c650bc6d9ed79892cbc66adf29495"},"incumbent_state_id":"sha256:11e9796ece027fb75b503e2641ecbc707754c0742b5ced157e1e627cf03d3d1d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 3, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2185ed49d9a6c26cce9f13968693575b7659862e71d87369d44535ee0c3ec39e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000145"},{"accepted":{"artifact_digest":"sha256:23db1517309dea8ec68ae75ed73833c9a0e449d006e3d0ffebd73ab8818345fd","candidate_id":"sha256:3293286191e1cef15048de75f8504e6f4523dcc6ad433c9a9adbefd5b17c9161","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 = (4, 2, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6216e7932fc27406483079c234d2d97dc2de48d79db5cc6ae63428992b6346d3"},"incumbent_state_id":"sha256:3978299e01f533713199af84014f557b4245e8eb4973ad4d5ce99b36c601a9f9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:72b4151698b3bc2e97ee19f28d7f15b8c30e54ae2ef358d772bdf47209257caa","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000145"}],"task_id":"vlr-formal-v2-0000145","trajectory_id":"vlr-formal-v2-0000145-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:87a36d68a87515c7a8ff58ade61e1416dca1b427d07e6cd1b3cee44a4d4f191e","sample_id":"sha256:b8b64ef93c7d5abf56fba6468657c56c3fdc2ca402f4288063df172878214e02","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:a9872cd87e9e8896b276b0e3e50816d867fcfa2b943bfa5197ec325233ff3072","candidate_id":"sha256:ff3a078bf913dbff7f846895ad7e8e13fca60a553f9066087ad6d384faea6e45","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 6, 6, 0, 1, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:98d878d3da1790fab2a8ba12a754809bffa5c11c4215488e8d4662df91d0c56e"},"incumbent_state_id":"sha256:3cc819dda8102162acf8b1a626ed45e6fe7a4a5ca7efee89021422b6d35e5fc3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 6, 6, 0, 1, -7)\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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:17e410917ea7cca2e30477f525df7b7b60d4fed701df00e0fa51bbba431573b0","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000146"},{"accepted":{"artifact_digest":"sha256:88a15c20d6b67c02001a2172764a5c2305a79e4bec88cbed4d31242fce47292d","candidate_id":"sha256:56331d9d6004b1d93d395058155f0f865affe39cde227049c33a132d316d6f21","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 6, 6, 5, 1, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:72702fbd4a978886f722bb5019688e5bbec498f9df8255d1a87b5dc2c4d86389"},"incumbent_state_id":"sha256:ff3a078bf913dbff7f846895ad7e8e13fca60a553f9066087ad6d384faea6e45","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 6, 6, 0, 1, -1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6f90b125668f620373c433d2fa1dd1aa13c4192d41ddc085bb05f5a8a5ad95c0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000146"},{"accepted":{"artifact_digest":"sha256:984bce3e18d076d3f77f90021d04a518c73dbb2321e1dae87c241b65511df843","candidate_id":"sha256:52149cba85e8d7600c8a8031bd1c2de14d4a90ab4c51322f9bd90f24248a86be","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 = (-3, 6, 6, 5, 1, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ebabd6b9dc28b6de2a10d87ee6d159866d2cd3509a4fc61bd6af2ab14250c715"},"incumbent_state_id":"sha256:56331d9d6004b1d93d395058155f0f865affe39cde227049c33a132d316d6f21","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 6, 6, 5, 1, -1)\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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e015a8aab1f5db54669747a73afe58a5f425cafc0e7d8ba23e3c3bf9d73c5921","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000146"},{"accepted":{"artifact_digest":"sha256:89b1cd41f5aa4ac2e6dfcb8c2e9a3b09f0fa2da9aa16d4862dae4c017475d27e","candidate_id":"sha256:417fb09f7a1199d4e6cd8a668bf896bb2e3eae3c36bc943543655d727c8b7594","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 = (-3, 6, 6, 5, 8, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:673fb6d29ef8cd3255c37aea28a0ca3fff5e5255f4f5f36720d9f6a1d957ceee"},"incumbent_state_id":"sha256:52149cba85e8d7600c8a8031bd1c2de14d4a90ab4c51322f9bd90f24248a86be","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 6, 6, 5, 1, -1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ea46f4975ba3c1694b50da02d01479f12d311780ece0f535adb7bbe98e849b74","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000146"}],"task_id":"vlr-formal-v2-0000146","trajectory_id":"vlr-formal-v2-0000146-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:5e889ce2d0f8bd95d31137a810608f0fbc67d48016c9e5154f772225080964aa","sample_id":"sha256:cc340f9bfe0ab4cc5627709f2e105fa1f84626ef1c2891b6eaa064b0e207e0aa","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:7b3513b00aa3dec952a86a02a6344e4d02aaa335b2c21984d9a6390830ace254","candidate_id":"sha256:b82fb946d4e6dd8e413749bef699e2fb34c999f8febdf71df8ef59797ecb8dd9","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (4, 2, -7, 3)\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:e2c2df4f4710c117ca8cd001eea30d82c8229b96f1280bae5f7c8a0862e38ecb"},"incumbent_state_id":"sha256:d8885ec3e6dbc8d69a31d8a557a8f48b31a6da8acd5fd73b5f0c1b0bff104b1a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (4, 2, -3, 3)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:63c19a7ebdb4bdbeb851ed86c585fc4ed2c77fccb6bf039e8d17954e4e4a667c","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000150"},{"accepted":{"artifact_digest":"sha256:2a13018ee56bde15b98cff9874e00afb7d8cbc7c7fd557af068cb76eb1993e67","candidate_id":"sha256:31d5eee0feaa16b7b85f412125b6b77c9e1d2db30cb39bccbbe46ba39041d247","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    offsets = (-1, 2, -7, 3)\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":"sha256:333a5cacd49599ce0d5e24751abec80124926ca98fe1687a87851d1ad4d8ce9e"},"incumbent_state_id":"sha256:b82fb946d4e6dd8e413749bef699e2fb34c999f8febdf71df8ef59797ecb8dd9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (4, 2, -7, 3)\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_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:68e305981c6df8bf12c1b2659de60a37e985b7f14a6639756f1fa9f129e7dec5","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000150"},{"accepted":{"artifact_digest":"sha256:7b17ad95de53585193dc548f6bb3a7efd73da64ab1871540ce3d06d823cf95cb","candidate_id":"sha256:b1903f8fae60cfa6acf0e12ad01ad5d1e8fe0d5b0f13fc59131322ef648fafbd","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 = (-1, -4, -7, 3)\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:d6cb7628a8bb744e95241f0cd2e8f1662bc714d10cea07b40e5c5fb17f38474d"},"incumbent_state_id":"sha256:31d5eee0feaa16b7b85f412125b6b77c9e1d2db30cb39bccbbe46ba39041d247","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 2, -7, 3)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9c7fa5ba750af6ca86cf13ce178831a82929e4d1623ccd976bc9f366e70e3dbc","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000150"}],"task_id":"vlr-formal-v2-0000150","trajectory_id":"vlr-formal-v2-0000150-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:3f5d7a7dd39a4c4c90b5a502956bad51f3bebb69c559910e3bd629d17dc6a0ac","sample_id":"sha256:b9bd2b3c8d77fb47a50fef4527bbb9e2ce27687534ce1d67749d48be8701d2b1","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:7212935e2e7ee683b934625e090456bc8cb455151aa619c8975730b2194c7dfb","candidate_id":"sha256:0dee3f614b464726bb44e2a6ed9e1ba3a8bee84f25736dc99e07da59aac44473","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 9, 3, -7, -1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:1265e72d3019fdf18979baf82bc1bcdcddfe8654c449655a46d017878833c0f8"},"incumbent_state_id":"sha256:ed21acf63d3ed0eee236f230bdf134cb506105e8f13115ad39f60bcce9348235","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": -6}, {\"input\": -1, \"output\": -8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 9, 9, -7, -1)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fba8b8d5cafc018fe1ba1803d7a7e18d1e19622403c08187ba5ad140500dd9e4","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000151"},{"accepted":{"artifact_digest":"sha256:b2923fe65e4962b0cb879b17cf8f80abefb800fe2ecf7cfc6ce4e9784ff049a7","candidate_id":"sha256:e42c7a6a661cd3432eaf64a88bd931986e0ea4cb2e091029800639b065ec25d1","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 9, 3, -7, -7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:039bf80d7f8500bb6b217dd1212793e87717cd6fe75da21b143b8ae5e034948b"},"incumbent_state_id":"sha256:0dee3f614b464726bb44e2a6ed9e1ba3a8bee84f25736dc99e07da59aac44473","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": -6}, {\"input\": -1, \"output\": -8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 9, 3, -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_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\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7196ca7356b7671ee46228423f1b5f09e7774689c0c788c0fcdb85f8fcec667f","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000151"},{"accepted":{"artifact_digest":"sha256:93e68a80675c507a552d416ed76cdefb319d3865de6833a598a62c01e016926a","candidate_id":"sha256:55baa502432426cf4eed04331192a28e3212da38580044142ba311856a89cab2","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, 3, 3, -7, -7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0479b39db2aa7ddce3c0e9d6e895ec7ccb2de0b18818e448b8575e1d15cedfa6"},"incumbent_state_id":"sha256:e42c7a6a661cd3432eaf64a88bd931986e0ea4cb2e091029800639b065ec25d1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": -6}, {\"input\": -1, \"output\": -8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 9, 3, -7, -7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:074d45aac9fc33b1458ebe48b51756fb9ea9e0677d542c75561928bfec843ed8","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000151"},{"accepted":{"artifact_digest":"sha256:cb223c2b3f421f8ca4ce18f38864482171ffa3d6c48c931575963bf55855c8ae","candidate_id":"sha256:946ecd4a64b431eda297d4ebdffbdcd2af3d886cd25a009d2538ef50c781af24","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 3, 3, -9, -7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:e50b918421c2647dc203288fe8f2e9640b9bab04e0bfb4836dd2f47d158de424"},"incumbent_state_id":"sha256:55baa502432426cf4eed04331192a28e3212da38580044142ba311856a89cab2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": -6}, {\"input\": -1, \"output\": -8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 3, 3, -7, -7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f7bad1596cff587fc77cd22c354e7ad9371bf91de3c7ae7108b162dc9d6abc9d","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000151"}],"task_id":"vlr-formal-v2-0000151","trajectory_id":"vlr-formal-v2-0000151-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:d7806934968d659778cd6d6eb86a2d0b4d744ca16be33feed32d1ea8c8ddb98e","sample_id":"sha256:c8fb260371ccbaa61d2c6bdebaa7f991ad890ec8c5537503bd055f70401f3281","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c0c2c3295efdb0c6f452a939be109e69c309a93cc6c491d85d58dabeadfc39f5","candidate_id":"sha256:e12cdfe9a3938460ec368c39abd3a059d891611b471b86145cef509118aff3ce","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 = (7, 0, 2, -6, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ee0e9621245297d35643e3f4bb1c2bc79b42158186cbc7670e3b3139c56eaea5"},"incumbent_state_id":"sha256:98bae9f31965f5adab46e0defffb07f3df0750284b00ae2741cf2296be956b38","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (5, 0, 2, -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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f14d04a961008d213ff3985227215950a70911b7afacc978ac4e7c4ed0475d73","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000152"},{"accepted":{"artifact_digest":"sha256:c8c73fe446d4aad3a84f50c3dc266dfa3f052f18c321951b7fa3d8b4565e7cdd","candidate_id":"sha256:e62a90a16a4b631c6ac6f93e2aecba31cd8c506dac84b8ce3fa9647cad3399dc","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 = (7, 0, 2, -6, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:6e8ac939bdd5b66d8a2d064acf658e87b23f490d49320ba04acda0f7a82dbb58"},"incumbent_state_id":"sha256:e12cdfe9a3938460ec368c39abd3a059d891611b471b86145cef509118aff3ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, 0, 2, -6, 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_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:42a8594011240597ba203d94b00e58ea3e4c0effb4475f5a48c97af8fb1ef127","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000152"}],"task_id":"vlr-formal-v2-0000152","trajectory_id":"vlr-formal-v2-0000152-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:a71457b6fc05c118930fa5d32a7a310bbf55824a65bf1750a52855f752a8bed1","sample_id":"sha256:187a9a82ac19e5053de2f929f47841c6849e79eb28265f54f5e6fb4bd921dcce","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:db92ce9365290bcc45184e247b8a1fc1d21e37a8a19c4f5817bc38f605edfe47","candidate_id":"sha256:774f8c8c3b59ce9e7af1283ca8b8ec68afa365203980eb4f5d6d261433beba7f","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 5, 2, 2, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:05f56a75c24d63503a739faa59e9035d8b5fbcd71e59e9d239eb5993077ff155"},"incumbent_state_id":"sha256:7d3820f2ecd00e1f8cecf6b08801d4c07e76f043c70c0c7f73be642ce4b6d13c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 5, 4, 2, 9)\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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b3f36b7e5356f942b712dc271a52e7a57854823dbab5c5f1e24e9f5875efa434","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000153"},{"accepted":{"artifact_digest":"sha256:dc2ae52317f2781caea58f0dd75f05949ae45d54817c29512f7057f4aece063b","candidate_id":"sha256:eacd7cd4290d86361675eb1a0a0ba7ca14de593acf238967474c5b9d1f3d863c","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 5, 2, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:0ba3342dc6108e1e84763671e0c601f2909f4f49db3aad7c2a2119d965b4a3dd"},"incumbent_state_id":"sha256:774f8c8c3b59ce9e7af1283ca8b8ec68afa365203980eb4f5d6d261433beba7f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 5, 2, 2, 9)\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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2cf917cc098c06e48ef8d76f96507d6a9ecb2238d4b9b267ba5a859effffd44f","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000153"},{"accepted":{"artifact_digest":"sha256:90f1527bdec720306d639e203acf2a5734f0bee7bcfdd3d53c4393c6a5fb7983","candidate_id":"sha256:6bd9ef2bbad8388cd5f60e4521bc33ab3a850ab9d1383f5426802a3eafe25b6f","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 = (5, 7, 2, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:cc67943db30514c40aea730d8f19264eb7a8c218678becf094e2697ddca5db1b"},"incumbent_state_id":"sha256:eacd7cd4290d86361675eb1a0a0ba7ca14de593acf238967474c5b9d1f3d863c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 5, 2, 2, 8)\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_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0ef1ed3d47701244c27619032ce8d6c23ec8aaa7c330267bd3065bc58fdd39b1","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000153"}],"task_id":"vlr-formal-v2-0000153","trajectory_id":"vlr-formal-v2-0000153-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:53c67394058a5a633addd0c1e0b3fd5f9a634a8548d4d054c8d2b103a5068d69","sample_id":"sha256:48c6705160dd0ae0675b9cc21fc6adb0ecdd479628c1303f4c6759e2fb57ca67","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:a48521fba5eda6d285b2fcef308610a0ba69dd2f766eefdfa26d41cda4540165","candidate_id":"sha256:9234746f277a2eaaeb8ee5f7b8b7e70ed9c2ab670c48e30f38c682c412e91b4d","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 = (8, 4, 14, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:24be81c0c3eca0287f9e84c6e2b977ee20511339b71f89c3c30ce14a9a00376a"},"incumbent_state_id":"sha256:a835ac16ad6ffdf6e0480aac9f9e3caa9af7d6cac4cc240334d8e20e839889f6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 11, 14, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dd51048b9bce6c955fd5c959a49f1528744289631927e1e13cb3ab656e722d9b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000154"},{"accepted":{"artifact_digest":"sha256:2f48ed84b6994340bacac949cbcff330bfab7ab70cfc889aa1ffdce38389072f","candidate_id":"sha256:8f2f2016d5932ca71836f229d59dabb6ad09b24e46b073893019af8a98673877","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 = (8, 4, 2, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:820b02cf2205c9870dd33dda85efd1470d4c43be870bbd5915e707e9127c0e93"},"incumbent_state_id":"sha256:9234746f277a2eaaeb8ee5f7b8b7e70ed9c2ab670c48e30f38c682c412e91b4d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 4, 14, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bd48a28123661a486c875e24d01088d616d44db791edf57a7cdca75f0f239832","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000154"},{"accepted":{"artifact_digest":"sha256:c4bd97328dd34d621adfc7595e4298a95d5ac74bb1ee8d828e3d9376240e8491","candidate_id":"sha256:6bf8e9dc2699b594e21818b2990c9c8410f8ad0245ff51172c082e0dfdc960b9","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 = (1, 4, 2, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b47bfab7c2576c703c69a3bacedea8112dcc1a5f3bf42dea428f7ea5c96ee349"},"incumbent_state_id":"sha256:8f2f2016d5932ca71836f229d59dabb6ad09b24e46b073893019af8a98673877","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 4, 2, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:90199b7891889f530a41945e70424f9c2c2650a0ff0b2dfc0ac864a2122308ce","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000154"}],"task_id":"vlr-formal-v2-0000154","trajectory_id":"vlr-formal-v2-0000154-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:1e29fb53eecae7006826b0d3ca2ec09270d063203192021773cbf73108c03731","sample_id":"sha256:8581fda5457a844e02bac6823a830ea765e15e6127b2ac3f551452e9debba360","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:92b8370015a0c748514f503756da32563fec25bc1583547ca2b3b7dec72a00ce","candidate_id":"sha256:5ee2909eca8ccf8b373e7f757e13e3152892eba84a18c039a0dba1922aa97871","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":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 3, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:50d5e3ae017858ce6637936c7b52a22a2d8decd2c9864a827fc7272ee9669de3"},"incumbent_state_id":"sha256:1bd860868ad943f804b1e2791d4557b47119bffe9a0b6a6a80e2a38018204be7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 3, 2, 5)\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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d317e34ddcc3fdbd5d7b4774ffc66381cc823ec1d0526ac2d03ff631f9cd20e0","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000155"},{"accepted":{"artifact_digest":"sha256:57380466b62fda981c79ca1a85e074799bd5f5297db53baeedc92462eb62b3bc","candidate_id":"sha256:da4a22275b0aa93a5e1fb689953aa4f335e29e57d8c55ebe9bb59a94a365734a","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 = (3, 5, 5, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c4bfb77f9c8f7a19b8b60928e5d62a6da73f5d1770e0ef6e0f75a4b62388e78d"},"incumbent_state_id":"sha256:5ee2909eca8ccf8b373e7f757e13e3152892eba84a18c039a0dba1922aa97871","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 3, 5, 5)\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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a3e28e3008296d33eb011a27c72539f40955b5129bd8cf67f6b226f0e81486fc","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000155"}],"task_id":"vlr-formal-v2-0000155","trajectory_id":"vlr-formal-v2-0000155-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:a587f498f0a79c48d90334f3a51317cf768088245bb3626376a195456da4ce49","sample_id":"sha256:ab69ed4e34d2131ef4a0517ce55a7c51f18e190ff7361cbccc67ae1643396727","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:dca7001649294a09c51fa02fa26ea041081a719f77b8fdf0237ea05a79664008","candidate_id":"sha256:ccbac558968ffce7cc38202f3765030ccabddfb93612f3a78618c9e19cb27743","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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 8, 0, -4, -5, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4b3ea9c339ecc57bb81a3e2f96a6d7d94e692c6f329a954146d83781a8e2443e"},"incumbent_state_id":"sha256:f1a66a87448cc8972facabff35a316c644f624359e26c9e3bd11d1497a03752a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (7, 8, 0, 2, -5, 8)\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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:797abea568ce5e1ddfdd9f2ec79363bb5f90ab63d8518da87a81a5fe297b5f24","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000156"},{"accepted":{"artifact_digest":"sha256:6f6113b54fd817f71ebb625dcbd7914542a807b2ba5daf6acc1bbfba7de40fca","candidate_id":"sha256:026f4ddf56d720649f555b4b95f604fa13f67a033e3e6b53a79d854a7da1bf2e","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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (4, 8, 0, -4, -5, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d1a11418ccce79c443fe571e1a15eb765db13f3810e1fba6342c8c3638bb4d9f"},"incumbent_state_id":"sha256:ccbac558968ffce7cc38202f3765030ccabddfb93612f3a78618c9e19cb27743","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (7, 8, 0, -4, -5, 8)\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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ef3fec94dcd2d585c62a49f6e4e37c61137c2ec8b310e1673f22cc058186eaba","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000156"},{"accepted":{"artifact_digest":"sha256:36e2c455f69e86dcc64c0f292f570a9c837b27170f004391f0306a72700dbf3d","candidate_id":"sha256:515445f1c4a87091b0d4b790f12599baa3e8dc76f0de9c167a0550eb686a684a","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 = (4, 8, 4, -4, -5, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4486f02f67a415766805e36af563f5ea82617fba104c68b7d8081d3a565b95e9"},"incumbent_state_id":"sha256:026f4ddf56d720649f555b4b95f604fa13f67a033e3e6b53a79d854a7da1bf2e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (4, 8, 0, -4, -5, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dd92b195fe2b48e91745c534e92fb65fd82011566241fefd350bb54bb0a07b26","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000156"},{"accepted":{"artifact_digest":"sha256:014278d67f2d95539881663f9a1d5a802e734b9e602a96d1d76c30a6e5f532b7","candidate_id":"sha256:f62c55a4748e07087fab202c3c5b55fc71342ca1f0cb12af97f044ed9d04681e","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 = (4, 8, 4, -4, -4, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:cf7ce9b19ae97fdc8f524183f4936321d726596430d652f22651ddb7a77c0846"},"incumbent_state_id":"sha256:515445f1c4a87091b0d4b790f12599baa3e8dc76f0de9c167a0550eb686a684a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (4, 8, 4, -4, -5, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5d439ca945eb6ad27d229fb13eef1a005cfe7c8ddeb8790928267a0d74a7759d","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000156"}],"task_id":"vlr-formal-v2-0000156","trajectory_id":"vlr-formal-v2-0000156-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:fc1c3e6f0d6190d9a14071285d9ca3b03463a2551bd63314fea55491ffc3a190","sample_id":"sha256:70f256d4882c164070986e95f8c10bf08c1914f2e4ee438e8df04066285469a6","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4236f55c134e4431759bb3d294ec66d1e397aa13f320eefaf5f13a9e463ecf75","candidate_id":"sha256:5ae3bafc7098236e64c27ada2db47fe931ec142b9d0fde649aef5ffdcb62160f","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, 6, -7, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9450ee40f276d973758cdb7c5f2cd88b2be71037a62643b9eaef4a1b83e0d5ba"},"incumbent_state_id":"sha256:c332967bf9e953a137be1082f934fc57b7e34bc694d0c3fec4b35cc6df38f0f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 3}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, 6, -7, -3, 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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6b86f2544a996978e6d159b22235fb779cd04aa15b3ff0e167d709e8771f0258","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000157"},{"accepted":{"artifact_digest":"sha256:1ec5778e64e5050af8c8c7e7000b8f3fa300a5ad7b14b890e2110f235d4ce4a0","candidate_id":"sha256:345eabd2b1381922746a08623994a2620a81d1caf6df10f432559a1ab75d6eef","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 = (6, -5, -7, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f31c7434530fdfdcac42a02ef90a084e9b92445482355cc6c35a6c422a86a18e"},"incumbent_state_id":"sha256:5ae3bafc7098236e64c27ada2db47fe931ec142b9d0fde649aef5ffdcb62160f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 3}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 6, -7, -3, 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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8e274b2ba6643e38fbbb8ae5742137182cb58672822455393bcb5d289cbe1547","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000157"}],"task_id":"vlr-formal-v2-0000157","trajectory_id":"vlr-formal-v2-0000157-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:e117157a24ecac87240d14c08405aabdbc6455214571d9244b67360d29bea7cb","sample_id":"sha256:ad6f507bd4a4e52dd2a67800e2b42be3463bafb799690fc865bdcc272ead29f2","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:f73b37d0908dc283376720c1e3e7ba8916dfe07886acf19ac6b965d9037ed9d4","candidate_id":"sha256:50725991f4a01fce70962804a10195d89e6ca5931b03bd81958e222c27bc3609","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":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-8)\n","verification_digest":"sha256:ab8330bdef5485eb00a48f01c3e47ecc451b988ab49989e33f857642db4b33ed"},"incumbent_state_id":"sha256:83fc21c69523af69e201c6654f899be69d472fc1fbf19b1267195715051fb87d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -23}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-6)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:60be2d1aac74a3d1ddc7afe3b28e629ea3d88a5f4885ad839452af0d29264f4a","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000160"},{"accepted":{"artifact_digest":"sha256:1754c199e58d104df491b4c4019e3c19fdcc329f4906c47fffcb2f524043ac4c","candidate_id":"sha256:617687a4eac900f5b3b3775c08ae4e56c482fd87764af2fcfb585eca8dc86429","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-8)\n","verification_digest":"sha256:934861bc2137705111d8e1c6d5bcdb3e807b05dbcbc62d2f087f993b45a78549"},"incumbent_state_id":"sha256:50725991f4a01fce70962804a10195d89e6ca5931b03bd81958e222c27bc3609","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -23}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-8)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e10da54562027c4b27fbc5f5334141e93244e036ad2c832f6495a2d39dc949b6","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000160"},{"accepted":{"artifact_digest":"sha256:2982ccd89e83fd239f29d443b95744ea10332c63840af495dafa27f8639b645c","candidate_id":"sha256:24f0a38fec92c7b036af45e95cb92aba474d92f176cb6193ed802cbd7307613c","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":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-4)\n    return x + (-8)\n","verification_digest":"sha256:f91fb1fa70f237d551e67d9d98db30d0042a01efcfaa0d2b7f3e6970dda82641"},"incumbent_state_id":"sha256:617687a4eac900f5b3b3775c08ae4e56c482fd87764af2fcfb585eca8dc86429","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -23}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (-8)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fd9aa5cd42f4c605163f18dac40b7d2706aff7ed1125f0da7d3181592f239825","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000160"},{"accepted":{"artifact_digest":"sha256:c59b51f0145085a9a6a125d6a05a873927d509f774a40c8f062abc13adde67cc","candidate_id":"sha256:f6dfbf91b8919af7323c3e8896958576e741bfa62f909d01b02af54fe88e2216","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 + (4)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-5)\n    return x + (-8)\n","verification_digest":"sha256:9976b50ba3240b5ba6b0e7ea956c0011f299b5bc9555cc3b3c1ff2bc38a6e142"},"incumbent_state_id":"sha256:24f0a38fec92c7b036af45e95cb92aba474d92f176cb6193ed802cbd7307613c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -23}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -2}, {\"input\": 27, \"output\": 19}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (4)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (-4)\n    return x + (-8)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a6e37ecd6b04e973068e04073614b91e2145e02d50c9696ed9c057e7c517bf26","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000160"}],"task_id":"vlr-formal-v2-0000160","trajectory_id":"vlr-formal-v2-0000160-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:4416407df3b85c7a08ac8de921da1aaf0bd5346dd0dc8cfdc0d63931dddf9eb9","sample_id":"sha256:bc1742debe8d229e8fc4eef0cea7021788515d770914e0a6d03495aaa0e014ae","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4115481f0af3e6d3fe1f8f4d88e0ec3077db3fcbcd0a6ea441ec0f5eea2b7a5d","candidate_id":"sha256:e767599ed3c2da0e0e282615dd59f22fc82b0cf08e4fdebab81bb630e8355506","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, -5, 4, -3, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b9148dbf80b1895cf2e80ae0a18d0cc5fbaeb06e83df387d6373a4bdbd99fa0a"},"incumbent_state_id":"sha256:8dcc4fcbec2bc68a42de3599ce64eae4165a46f0eef85def039116a1bc35ced2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, -5, 4, 9, 6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:22ba8a04ade14afc33a10897d94fe09c9a7db1543dd9bc2bb5f6bc02b52faa1b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000161"},{"accepted":{"artifact_digest":"sha256:8981589bc61f05a7f3e8bca11a9f13b41d6c3c97e0a11d4c1dc3c20d38acc94c","candidate_id":"sha256:665099b57bee1125fda05725a1a79804351c77caf0f7fab06fa6a754f7033ee2","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, 4, 4, -3, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3280585aef5c6654e6bf098e7c89b84aea475c218e758936ab7a91fde4696db6"},"incumbent_state_id":"sha256:e767599ed3c2da0e0e282615dd59f22fc82b0cf08e4fdebab81bb630e8355506","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, -5, 4, -3, 6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ff3e637929f19296c17f1c4f76e0b49ebf064e6358de7b6fe680a629eb2e67c7","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000161"},{"accepted":{"artifact_digest":"sha256:c8c6a691d3fbfe9a89f653e3d3cac3861e3c085d5a43d536105c438c69a21146","candidate_id":"sha256:80c90bb573c9626989a3ac231cb27d3f66d2ae8ea3070e040bc50f7a6157f9ea","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, 4, 0, -3, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4f83d8498d1dbb9d89f8f7ef2fe70ffd8313b82334cd1784231a700eeef554b5"},"incumbent_state_id":"sha256:665099b57bee1125fda05725a1a79804351c77caf0f7fab06fa6a754f7033ee2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 4, 4, -3, 6)\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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8a2f9369cb54e3d2b2ba9108954936ebd3288bed74d6dba48a9dcc49a56d5086","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000161"},{"accepted":{"artifact_digest":"sha256:32d7e53af74211f422129167a165143c312f5dc05044479a15cb4a4e27e2c415","candidate_id":"sha256:a0050ca77c94175909731576a3cfa042ca901b4e313f4ca582bd50adc4dcbe70","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, 4, 0, -3, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:667054d86e3c3456e3754dc41583961995243c655054f6a5e17d22b017ff198d"},"incumbent_state_id":"sha256:80c90bb573c9626989a3ac231cb27d3f66d2ae8ea3070e040bc50f7a6157f9ea","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 4, 0, -3, 6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0f7cbbe49eaf3e4030f93001ff4138fbd459f7435660683e73602b79ca9351ba","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000161"}],"task_id":"vlr-formal-v2-0000161","trajectory_id":"vlr-formal-v2-0000161-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:e49eb0bdebb7d6e404811fb8ff6b7ba90fb9edfa36d47f29606c5c041f297e86","sample_id":"sha256:1942b0da569595fe2ef461e656b25813114180ef3253748fc6bd39ba8b8e37a5","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:effcae8d2878fe6afd1188abd5c6ec493ef2ff52aed69b18d03c103e1b6b6462","candidate_id":"sha256:0e1b19ea1e1f72b66dc1e02918179c16b3a591bb42f4470438080b96be17d61e","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":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-1, 7, 4, -6, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:793acefced54f816b8e192e65728fa4bc0303f0699ad5e2ff016dddd12662e0a"},"incumbent_state_id":"sha256:1291fa16e4dd02528fd9163e3d0d184bf0f135ebf43e012f475d04dac6f62343","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, 7, -7, -6, 1)\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_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_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d6506f35b25d8b7b129a5a644f36c691f21258f650a7dfc5cd1e697739e8f8fb","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000162"},{"accepted":{"artifact_digest":"sha256:5cddb2db42948f746b070d1f90538198592ceaf79933214f239c3c862f415a3e","candidate_id":"sha256:c056c85ef4b90dc92ee1145ab23720b839315081f183e63eea7887d21539d5f9","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-1, 7, 4, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d332fb62627a8b25ee1e695c3cd4ae023a68f9fb139ac617b9c67b5c3a66becd"},"incumbent_state_id":"sha256:0e1b19ea1e1f72b66dc1e02918179c16b3a591bb42f4470438080b96be17d61e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, 7, 4, -6, 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_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_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e8361415afe2bb49d3b4d37877eaf0b5b3e317bd33defbf7497c6744fd5cea33","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000162"},{"accepted":{"artifact_digest":"sha256:0385fe8fa740460b19e29342db9d705abfa5cb110eb232cb28f29070d4353108","candidate_id":"sha256:029f5429f9d63395d5ec1f2d1716e8ae635d450f4ebdb7e17754b998cfbdc49c","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-1, -3, 4, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:48e038ffcf3658b9a7c69096aa40efc130a4203ae5ebbc212627896ae3de04d5"},"incumbent_state_id":"sha256:c056c85ef4b90dc92ee1145ab23720b839315081f183e63eea7887d21539d5f9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, 7, 4, -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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a22c6a84c9277b6d8c083d620f427ed7b6cde66f6c55ede6e3b866200c1dbae1","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000162"},{"accepted":{"artifact_digest":"sha256:d3311edc502a5267aed97fffe098b5515bd28122dde67b3b88df7b5dcfd821ec","candidate_id":"sha256:ae1d2fde22de7b87aea5cb90b032e2f4fae23c7a2bd0bc1e1fa378568a761f72","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, -3, 4, -6, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:3436564101a4c35c18804042155615a36e5e9f8e8f7e5f821b0ae2319917c953"},"incumbent_state_id":"sha256:029f5429f9d63395d5ec1f2d1716e8ae635d450f4ebdb7e17754b998cfbdc49c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, -3, 4, -6, -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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1b07c7be178971fb6499d537541657ef9a89013bcd46191db4af95c60057e07f","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000162"}],"task_id":"vlr-formal-v2-0000162","trajectory_id":"vlr-formal-v2-0000162-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:c9d0be5b3a305b2f135ae521fedeac79eea911628a56e28e995cc36fac4ee47c","sample_id":"sha256:663e6061a32aba5b3927da80065cbc7a99188f26c739e9598d82a9aa01fb661b","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:01af26c750e2a289d4d539308bf4b1650699bb16c10f817a97e474c743f6fc07","candidate_id":"sha256:095db9e222b30fa1bbc3db72b8873f567d8a1dd78401c7fc09327070c0c9a8f8","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 8, 5, 1, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:c730c257bcb1f4bc1dd2f6f3f60ca0a138f60a4fa67455b196b58db8269254f1"},"incumbent_state_id":"sha256:89abfa61895606a02574ef46a560f7b29b91a490eaa42164d28ccf4d1a3e29e4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 8, 5, 1, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:731112abc68e46b12f28277a220b1759b2b0fdd9e3431d9acc9a2c76ee0e8da8","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000163"},{"accepted":{"artifact_digest":"sha256:d8d1cbf136378299234dbc325e6a80b3fded027d945fa4961d3f6ee7d872a170","candidate_id":"sha256:2fde46f7064168fac1ee155459a68006369d0ef60dc473e891155fdf5f4d2fb7","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 = (2, 8, 7, 1, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:309cd8bc32eb835d0429f0b81945ab2b4ac736cbbf43a91d1f4a3c740b786845"},"incumbent_state_id":"sha256:095db9e222b30fa1bbc3db72b8873f567d8a1dd78401c7fc09327070c0c9a8f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 8, 5, 1, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:873fa2068f87c13a9de4c8dd840ac96794fd438abd4ce7eb9e565211a3b8ea22","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000163"}],"task_id":"vlr-formal-v2-0000163","trajectory_id":"vlr-formal-v2-0000163-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:54ffc69fc920c7e87d27751a15a3d40f53552b0536210e40f7dec7ff1c985259","sample_id":"sha256:3eedd81aa4fcc2c24f8e7e200f66a14d1e8ca097c8d151dd652e1f091effecee","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e6389e8e847534276eb7d83657dd5891e98d21a35da5830edfce77189b33e1de","candidate_id":"sha256:5cd9e78ec3e8d2c7683b4a10a60374562977d0248356c9f1c256818b5567b026","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 = (10, 11, 1, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0952a60c7d3a7dd6c899fc955f95e2c337697e28f86cee3a513f2b8961a70f60"},"incumbent_state_id":"sha256:fff081f205a5e555b0a7eda2f363a1340b6de4fb9da5a6129eaf1a31bd0d1868","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 10}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 9, 1, 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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6fa182117565de75739e508a3e9c2b7e63b83c88555d74dd5118158c5d7456f1","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000164"},{"accepted":{"artifact_digest":"sha256:e3ad05f9fe715adb409d183fabe69906fe9ae7e1213f93cc071895346e4e0db6","candidate_id":"sha256:e4f3c1e77ca911be08dee657807c51631820de7315e7c249b2f8814cd40497e1","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 = (10, 11, 10, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f69df279c884cfe618fbb1ce37a8afa6d5cb19ab0126a9ae00037382af1d877b"},"incumbent_state_id":"sha256:5cd9e78ec3e8d2c7683b4a10a60374562977d0248356c9f1c256818b5567b026","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 10}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 11, 1, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a0d71a56be170d2d157da2a2a05b51aba30ff385238201dd11d31bee429c192a","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000164"},{"accepted":{"artifact_digest":"sha256:1d6e539dbaad22b0ca482e364e7ce897d04f79f4571d87ff30bc1f9e0aec3152","candidate_id":"sha256:e17dec09bedca696bd9796e2bed50f7b9d3b8b0d5fcfcfd18488e631d4449d34","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 = (10, 11, 10, 4)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4333172c1b32abd1fdbc0fa0ca111f54589ead1b891d10e898748a0d52aeff04"},"incumbent_state_id":"sha256:e4f3c1e77ca911be08dee657807c51631820de7315e7c249b2f8814cd40497e1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 10}, {\"input\": 1, \"output\": 10}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 11, 10, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:76fc76e909716b5ba7a9a695b52cc850a014d8d2daaf22972302251e851566c6","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000164"}],"task_id":"vlr-formal-v2-0000164","trajectory_id":"vlr-formal-v2-0000164-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:f894494b64fd648a6e6f031f0ecd2f199019310557888dd9263a73816f2c956d","sample_id":"sha256:abb37e8c8c7c7c08627df3adff41610707e2db0f3ee94f592db05451410d2901","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:d7a210e54813485bff8ac4abf73c3ebd4c163bbaf9d780f160c1d6a41b1a751a","candidate_id":"sha256:378ec0ae5f5bd68d0b2f475c72c4acd3d5934660b38a50de887074b2106131ad","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":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 2, 4, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:929425e1104a625559dffed4b15797e160ea726197f13f724b8d425336ebefd2"},"incumbent_state_id":"sha256:97bff43fe523693e62c5e6fb90e4a826b06ed2e9864398974d993148b035507f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\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=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4c0efc699e0cdd101280a1ba7412d663755fee7918fdfa6031a885c9b8817f72","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000165"},{"accepted":{"artifact_digest":"sha256:c4986e31fdc665a7c3b462744dce33b6e82ad6824f3feb77903c4f3911f7218e","candidate_id":"sha256:52f47aa2c8d49aba76a23c0982e32e569f63773ea34ca0219fc4ecfd4110bd72","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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 2, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4900a966c18bdb350a0b39908dfa8a7b3141ff9a1562e8f0184b65bc7e5d63ba"},"incumbent_state_id":"sha256:378ec0ae5f5bd68d0b2f475c72c4acd3d5934660b38a50de887074b2106131ad","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 2, 4, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8b1112ca933f135b71a210797510adbf4652f09fb7fca8487e1918692a475806","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000165"},{"accepted":{"artifact_digest":"sha256:1699030f293d4efe2cc523c9ab74b8c02cb4dd9f62e5ffc2958c8083f4af4755","candidate_id":"sha256:dbe8a4c7be36db2b8780f273026ad0c46fff3aa39aad46ed15353f949a51ab61","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8295a06dd0262eb8beddd506ecd2cffa42c85567de842b1d11a35bb8542e867f"},"incumbent_state_id":"sha256:52f47aa2c8d49aba76a23c0982e32e569f63773ea34ca0219fc4ecfd4110bd72","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 2, 5, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7022e914501a0fb4ffd5f3be7d83e434b809948a83ae480fb7fef97c529f200f","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000165"},{"accepted":{"artifact_digest":"sha256:c695057dffa3af61bcced23e078566efcf62b9e42a4d401bab560ca747eedece","candidate_id":"sha256:9b752488671f23f6786b3c5acfa74581ed6c338c30924280aa22c1042d3e9124","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 = (6, 4, 5, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a6780be488887acfdccf76ff19ce1a0822cd1da58a16b70e3a80aeb16dc709db"},"incumbent_state_id":"sha256:dbe8a4c7be36db2b8780f273026ad0c46fff3aa39aad46ed15353f949a51ab61","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 5, 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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:be04d1ac205217a3b4345ee146b450f980b1209879bebfc565b0100be28bcee6","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000165"}],"task_id":"vlr-formal-v2-0000165","trajectory_id":"vlr-formal-v2-0000165-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:f76f5b8e62a2bfe8e5b9643535abc0395b8ac52945099d9cd179772b30c64582","sample_id":"sha256:86aab0c89280bd28ee2dc7292230e13d0631c9b80731b1a08fcfa95bb4f69243","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:443b9b645877bab54c725aa8f1392896d48f34c301ec12d5b63b3b3cc91b811b","candidate_id":"sha256:a61f8f8e139fa0f445e680467cd7322623ded5844779e83255df7f4b352db06d","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-4, -1, -5, -1, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ffa0effc65bf1e73fdceae41086a1e9a86d73cf2246f75cf4a97a349a4aaa00a"},"incumbent_state_id":"sha256:b1fef757785f1006c2ff92db2e6e5d521fea52e94a9e2dea8b1f68679063adae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -1, -1, -1, 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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c9d02150b783de31c1c7294191030405ec17e09c2d407f401773e8dcc2d3043f","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000167"},{"accepted":{"artifact_digest":"sha256:f5c2d6f9a07d74e918742907103d7f51bbd60db7c68149e5b1570baaab8f74ae","candidate_id":"sha256:d621099acecda9ad50fd0e804618822be393a0393ea2d45b83d90a11f9dc8c1f","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (8, -1, -5, -1, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1876bf20531835257f4d7e97bc75dfd382a3cb68dccf6100ee7e352bf6dd6411"},"incumbent_state_id":"sha256:a61f8f8e139fa0f445e680467cd7322623ded5844779e83255df7f4b352db06d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -1, -5, -1, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3e23c6c7ddadc8106a345c9f15ccc0f29554757ce6b9af171505561e3ea9b3ad","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000167"},{"accepted":{"artifact_digest":"sha256:680c43bda26bad2aba79ff80f8ac3f58272e2f9df273930e622c6eed8ea61732","candidate_id":"sha256:483f2526e33aac5fcc4aabe58b24a1615bd7fa6c29d63e645193130369b3fcfa","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 = (8, 3, -5, -1, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0be563901575b4601e130443f2dcd2639ac963832ac9ce29201ebeca5b1ef644"},"incumbent_state_id":"sha256:d621099acecda9ad50fd0e804618822be393a0393ea2d45b83d90a11f9dc8c1f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 5}, {\"input\": 4, \"output\": -1}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, -1, -5, -1, 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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dfd173f87343dc5eb8882225d7c3c687942226393884840484bd9cdde0318c5f","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000167"}],"task_id":"vlr-formal-v2-0000167","trajectory_id":"vlr-formal-v2-0000167-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:89e478643ddfae523f9bcfb71a6084d2ca8e0fe252a36249ea3017960b8d861d","sample_id":"sha256:4b4546ff03c7700d6da7d109211b714f07533731a54ef32a1b1fd90239335296","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:692db4217c714f97cbaac3e955cf2fa3d3d363513fb89cce10d033573933cd70","candidate_id":"sha256:51e1514cc751921130e8beaba8b022b36a3c8cec190ab3d6b5320df6d1b618c7","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-2)\n    return x + (3)\n","verification_digest":"sha256:138e55959f7ba94c7c95a5e20b30b51626756f222c626f23675f8ccbd9f729f5"},"incumbent_state_id":"sha256:64601e69007e2a38da8070e33f90215cfa0ce279ca4f76ed0e7618b5a2a60e16","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": -10}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (7)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-2)\n    return x + (3)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:925076162fd454b1aba9e66edd6a119bcb5b5ee4d80923a1de98c99886973836","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000170"},{"accepted":{"artifact_digest":"sha256:10880cb7ef098b2b53a9acd8a4de91426fa2a250e90ef7376d6d1f29291a5270","candidate_id":"sha256:f567e44a7e70c5b205828676d5e422db3b9719e15e98d926b4461313064f1b1d","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 + (-1)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-6)\n    return x + (3)\n","verification_digest":"sha256:ddb60825752d388ca863c7abb9a65c5c230e582749842ca2b346d5580bb2bb94"},"incumbent_state_id":"sha256:51e1514cc751921130e8beaba8b022b36a3c8cec190ab3d6b5320df6d1b618c7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": -10}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-2)\n    return x + (3)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:20976efdc3ae51f8e90cb55a3ccd66c9a6eaa4020cec369287e6eba67ad0adb3","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000170"},{"accepted":{"artifact_digest":"sha256:3f27bf84f82f0a576289b014a9cabfa86d7975251a099bebbe21e83ef393ea36","candidate_id":"sha256:6e64a4050954d5f455a39bfdaef4ce980fb8ecf038519ec92b6ff0db58af1f6f","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 + (-1)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (-6)\n    return x + (3)\n","verification_digest":"sha256:2455d7e02c1c281cdbcdfe14004d48d57f0f7d4ec1bac9c1cfb61e4443ab1489"},"incumbent_state_id":"sha256:f567e44a7e70c5b205828676d5e422db3b9719e15e98d926b4461313064f1b1d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -28}, {\"input\": -3, \"output\": -10}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 30}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (5)\n    if x < 6: return x + (-6)\n    return x + (3)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:922a64a04f332da1b3f858e808f4abecb547bb6f8f0d9cc6de72c3e3f9fa2529","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000170"}],"task_id":"vlr-formal-v2-0000170","trajectory_id":"vlr-formal-v2-0000170-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:4f4f72859bed6100533e78290890db5d4057f2b37e8ffab6182e11443a6eae00","sample_id":"sha256:506e16508cdacfa19eea7bc78912bf7b9ee8109c8e2e77bb92d31272b07b9d2a","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:1f94f5f14ce8221b483cf47ca06261657b829a59ea4412248ca3f9778dafb877","candidate_id":"sha256:3275f967114e289c1cee5686f53c9540eedbf9402d04de1d03cfeeef52561be9","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 = (-9, 3, -9, -2, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d44d6a83a99d9355476f5374e24a0686ffb2a53986cd712bbf4bdcdd613d6e49"},"incumbent_state_id":"sha256:a883594443fe6cd49d5015be1c8f6c55e7c4c255549ff2c62a762408e33e962b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 3, -9, -2, 8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0cb128a36c3357fba20d59f8a85c30450bcd64eef52452557a639ced732caa57","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000171"},{"accepted":{"artifact_digest":"sha256:d01763dbcd9c3d66eba40f683d4e7f6b06992b1ed9bab8f62b30d5e984808001","candidate_id":"sha256:5f6aeba6127ea34e2a6a56f9c0143b6956d472a9bd4e4e8ab81c7edcb5207caf","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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 3, -9, 1, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:90cf094f9ace6cb7ebf9eac5dc76a9e279a9b90ff09a28c0d9591e8a34a094e2"},"incumbent_state_id":"sha256:3275f967114e289c1cee5686f53c9540eedbf9402d04de1d03cfeeef52561be9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 3, -9, -2, 5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1f7c8b0364cd3fe146a098a67cb7791ba17a6db273004a9bfa774fb203b549a1","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000171"},{"accepted":{"artifact_digest":"sha256:686f03e06e87977049ddb255116e9333c9efe5cf80abb1387c48ccdf625ada85","candidate_id":"sha256:e19c89151b003a52a2136d739b1ae7c40421a225533d2b2d4dd1a1a9fbf3a7f6","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-9, 3, -3, 1, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:cfa43ddfb130d99598526ad0ec5872fa75ebc959d5625991e2f38a76d7e68cd1"},"incumbent_state_id":"sha256:5f6aeba6127ea34e2a6a56f9c0143b6956d472a9bd4e4e8ab81c7edcb5207caf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 3, -9, 1, 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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2da2339f3f04be7af5bd6df300351de1fb73e7e23b361eb6527ba4df7a793768","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000171"},{"accepted":{"artifact_digest":"sha256:ebb236c981d87535435281c8a2323f54e6e74902ec45d615dc86e54377b17d2b","candidate_id":"sha256:1e112a929f0cbcf2df0ea6f32e67c4c28f1b1d71e2eafdd2d5c9e562187e8b7b","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (6, 3, -3, 1, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:5ffb12956d00b5b1194f60bb246c1f68a4c048aa8bafd418e240c20ac2e98693"},"incumbent_state_id":"sha256:e19c89151b003a52a2136d739b1ae7c40421a225533d2b2d4dd1a1a9fbf3a7f6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-9, 3, -3, 1, 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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5fd117b07c11eeb47da89b48e9edcaab1e6411164447fbd7ae5c9c1fa715576f","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000171"},{"accepted":{"artifact_digest":"sha256:3aa40f895e11112dfe1ff62abeaf82e04991eb9f958ae315e64572dcff0dc852","candidate_id":"sha256:fa289ea1ce5ab18dbffae0215c6c991f21208c02beab30a7015b0fb723d93b99","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 = (6, 9, -3, 1, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:eb21a85c701c0f73b162d1b0debe96589bdcd3d560f55d88bef549b55771bc26"},"incumbent_state_id":"sha256:1e112a929f0cbcf2df0ea6f32e67c4c28f1b1d71e2eafdd2d5c9e562187e8b7b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (6, 3, -3, 1, 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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1fe195c11862720713ef7a4aebb33cf84c6fc90f9b990c62f83e384984cadba1","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000171"}],"task_id":"vlr-formal-v2-0000171","trajectory_id":"vlr-formal-v2-0000171-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:7cff773ac53316b136789139557eb3b44d4cf36e4c0fb87dba29af0dec2bea75","sample_id":"sha256:ecb004ec099b98e3e76c4af58c073c5e73fe52d606fd4378322b50eef9aad4d6","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4037e476e7976e455a61924c0a9f7329dc4e4519e965606d147c795629dc423b","candidate_id":"sha256:697b76868d942309a697f94b976ca1e2921c1fb8e7405aae9369a705e9ce9d1c","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (5, -5, -1, 6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:fb10dfa2a32da7b4e7921b4f8719a01508c04a5f8d765e16cefb64925842e12b"},"incumbent_state_id":"sha256:6dd774be0c88a92e8c4eb7eceffe9a070b0e0611664cd723d07e51c03e5d7c68","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (5, -5, 4, 6, -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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:baa5d007ce6e832d58f1094664c9ff2b8b163c4439692c1caca0ddcf30eef42e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000172"},{"accepted":{"artifact_digest":"sha256:fdde7a3d9ccf55f255d8aceeb89b114ecd869fdeae0c2145f1071aa30e3ff2f2","candidate_id":"sha256:98be619d9b0e9b8e57e09325ccea40ccc9950a7633a8a28239fd93c08c8a5be7","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, -5, -1, 1, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:9d790046409b8bdd4242d3615742376c54d8fb5e192133621a61c6f98f2b1d7f"},"incumbent_state_id":"sha256:697b76868d942309a697f94b976ca1e2921c1fb8e7405aae9369a705e9ce9d1c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (5, -5, -1, 6, -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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:460228555fdf5534d01ff6f99a61155a71f44298886cfe5f2713287524bade0f","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000172"}],"task_id":"vlr-formal-v2-0000172","trajectory_id":"vlr-formal-v2-0000172-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:f0ecb8ef5b55f8d402e2d183de0a9fd34accf2f69ae6f0e097ad94aeda9f6aa6","sample_id":"sha256:cd932722d69a553b4870c8196f4517cd361299f5a37500f7965a29f2e34863bd","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:26db8d081ab02a9ca293054b44fbccecdb7affbb10070ec22aa68f58835866cd","candidate_id":"sha256:3a3829d621e41767779429b158c603fa862cc2867b4ffcac7ea96fdef63ef1ce","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":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 3, 4, 5, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6e6592c057787443491c08e598447d512b52b14d2e317d69cbb00f54be378189"},"incumbent_state_id":"sha256:7f63a62c74f13ecdf3d50f72dba3a43f543fe5a4611b3cbccdcab84fa5318eb3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 3, 4, 6, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9f812096292c67b8cef3170974a2866d917fef27b8d2aa6e3fe2515816c23c2b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000173"},{"accepted":{"artifact_digest":"sha256:31b742ab1a2bef8cf8daf2fc5dac4b06808e97487326b3f4251589dbc06e4ea1","candidate_id":"sha256:f57b6222526b05c7a3b013139cbcb93ba448826e2a0a9a435e8431123a874f4a","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 = (6, 3, 4, 5, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:84cf685366bd743460468c61b78d163b5ae1f0fa766f52c225cabb7f46f288d4"},"incumbent_state_id":"sha256:3a3829d621e41767779429b158c603fa862cc2867b4ffcac7ea96fdef63ef1ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 3, 4, 5, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=13\nfailed_count=2\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:75700139213951e9de2807288ba5244f9545f77a1f69e5173ceab82315772c2c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000173"}],"task_id":"vlr-formal-v2-0000173","trajectory_id":"vlr-formal-v2-0000173-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:13fb85baf272787774e51d4c94f0f7ea4666101a8b33bb3c3038f4630a0b77ca","sample_id":"sha256:439914ee3162bdd81c1044113e3f6117ed5c24b8af6ae68986a176de34f83096","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:18c440e19902414c1bfd1fdecc16c5782ccd30d30c2825399fb13a8e42732fa8","candidate_id":"sha256:26cf60dad4afd6f904c0e4099930748f82f3eaf17f91d500f134e7ed9ab2c581","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 10, 3, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:7327f731bb620829554548de26ead646ba9311e2f6fd149e3caa14239170f0c0"},"incumbent_state_id":"sha256:d9dcad972d086c778d7ad6cda351b92bb7f1e812dbab60b8dccbb6f294b6b80d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 10, 3, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\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\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:885cec525168a4d7a74b861ee0ca6b22f60e064436055cc992c664ef20744dac","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000174"},{"accepted":{"artifact_digest":"sha256:2a3c8658d6faaa96e7ce1cabfad508881cf1400c4f582b1ac5703c51271cad4f","candidate_id":"sha256:fa58b9ba2be7c56d4658d24b858631f2d99a67a643d4fe1f2ae707bf9e9fff89","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":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 10, 4, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5dba0438662e8628139265c85eeb38a1172fc7cb57525e24e02bea80d23f6139"},"incumbent_state_id":"sha256:26cf60dad4afd6f904c0e4099930748f82f3eaf17f91d500f134e7ed9ab2c581","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 10, 3, 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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d30707cf6a80a6ae41156da7ce12fc37272d72bd33348ce7a77597fd2c09c88b","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000174"},{"accepted":{"artifact_digest":"sha256:9a03fb31bcc58b4e0b3e07bdc9a70d0fdd7b29a8437c86e7024adb18550433da","candidate_id":"sha256:aef1a81384bc864f82d246136bff1a00bd9cebabd24a8ac0fb97a9c0474e680a","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, 11, 4, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d9e117adf98b9d8d6c390377a338dcb2385405a616da73f2589624f9de684dea"},"incumbent_state_id":"sha256:fa58b9ba2be7c56d4658d24b858631f2d99a67a643d4fe1f2ae707bf9e9fff89","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 10, 4, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8866cc1929275a53ee27494ec9531a5b68c1bdec5f408e2c6c0bef65a0f0723a","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000174"}],"task_id":"vlr-formal-v2-0000174","trajectory_id":"vlr-formal-v2-0000174-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:da5da4f1fa52ddd41e81bb149e595d38773bc2bc5c33a1ede776148fea2773f5","sample_id":"sha256:b63a8b257216ba341eae2de75ee344d8417c4cbf910e585e6830c974e024c9ae","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b3ef637391b2d8c5e4fcd66869fe5a1cd6ae87272792dbc986d5e8db542f9481","candidate_id":"sha256:85f4b80f00b2d0089ef32cbaa22a772dfe50850359b3d167af5fe073d9faca0c","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":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 3, 6, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:57e76ea4f508aba769e3919d72e1ace1639d732872e869adeb36d5996f1fa286"},"incumbent_state_id":"sha256:1b785f0fbee84f4867b1a707f82a177a50f4521f4dae11e77e0668abe1daece2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 2, 6, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:557f58f26a6c8b05f8ac5306e14a3ae34058ba9a557e7a050e8ad9db3d46ec7e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000175"},{"accepted":{"artifact_digest":"sha256:71dc3acef5d19908f705712d91af74aada46753185930422c6addad67c077550","candidate_id":"sha256:4b0705aac5049edfd82e8bb153b84dabedee840d5a14050a6d958d7e61aa1624","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 = (2, 3, 6, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:86ed312db6d54348c5cb810a5fbce8899e7f67d2ec2448c6e84411d752c7cf97"},"incumbent_state_id":"sha256:85f4b80f00b2d0089ef32cbaa22a772dfe50850359b3d167af5fe073d9faca0c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 3, 6, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7c09b3463092558ac86be73016ead24962c0f7bdd57e634c5770ad2dcd31a0cd","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000175"},{"accepted":{"artifact_digest":"sha256:7d1012bac2a2a66ee668b7e8819cd59316fdc67d6cb5f6365c85fc4bdc6e2738","candidate_id":"sha256:42c67b45f93f83222106753fbfbdf5a731fd0cb32e874f088ce5f2abcf1d72b2","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 3, 1, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:690392aa20ed5d5dbce9a55f7a00a623056e52893578714040ba4b6273ba63cb"},"incumbent_state_id":"sha256:4b0705aac5049edfd82e8bb153b84dabedee840d5a14050a6d958d7e61aa1624","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 3, 6, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:17114ad6116f2d307cbb5ac78ce8b176cf48406a334ec10f172eb4dfc0f6f3b9","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000175"},{"accepted":{"artifact_digest":"sha256:c9454e363901c02ddc7c5db947e8fdf8732ef3df7de14fef0b9e8a3afa5e7fff","candidate_id":"sha256:3d2f9d50c99f866e1fc5705ff11e882c6c3626c4c65862bd0cf04c58fd31c101","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, 1, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3ae4359caf22ec7fc3d5340a62b052a7d6beaded4db5760035a7c5b7d534e487"},"incumbent_state_id":"sha256:42c67b45f93f83222106753fbfbdf5a731fd0cb32e874f088ce5f2abcf1d72b2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 3, 1, 3)\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_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f7798d2c97dbc7db80dcaf0b4f94e3527a7c8a95859f3c356a5288d040938422","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000175"}],"task_id":"vlr-formal-v2-0000175","trajectory_id":"vlr-formal-v2-0000175-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:1683270213b3a531cafc8fe11a8f4c2270d0cffdb70900e3c721be498169d75c","sample_id":"sha256:c6c6b0be9cab3d39e6c83b9b2bfcb273dd1edca350875ff853cf8bab14f2a87b","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e12bbcdb3be6f44c87ddfaad62c9439c4f6293e2a04662976883d841e5aafac9","candidate_id":"sha256:440a58571ad1f0f5329f8efe3d0220a011cf0ceb25e013c3c268dfa1ec229fd3","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 = (-2, 2, -2, -4, -4, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:2ce55ab4a874ad2c62821ce9cc62d56ae9c34d920e3f0713899607be3d3142e2"},"incumbent_state_id":"sha256:b655760f13f460ccdb6941fd62a299f0363eca3c6824ca89ad26337f1e9601c6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-2, 2, -2, -5, -4, 6)\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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:932a013475c3a8c8d75afb0e6c1e06879be019c4e7faa355d3c994fb32af76b3","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000176"},{"accepted":{"artifact_digest":"sha256:0d4bfce6dbe8a2b4c609d62bfde4abdc2f51a486c041dcc1c5abbf8d40966014","candidate_id":"sha256:b8258ff7b27c0de906c16e2983b3c8b5e6dc32df03b0cc56d22c46df997c7b7e","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, 2, -2, -4, -4, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:6682a5a105c34ff05bc3bebf3a7f1ce3f947c17a5ff35a710cf9ef9abf39a0f9"},"incumbent_state_id":"sha256:440a58571ad1f0f5329f8efe3d0220a011cf0ceb25e013c3c268dfa1ec229fd3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-2, 2, -2, -4, -4, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=12\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:20311eeefac05690d8356f6c1a2349240d5801a7397018ad17f7c7a80f05ca55","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000176"},{"accepted":{"artifact_digest":"sha256:25c043e4669b822b97f57deac719f94dda69d14e76ef18fd4942e2b52ec2f913","candidate_id":"sha256:3c73dbd7ba26edbf4efbef7904dd3c0831676be4bba27344618077022f5327f8","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 = (2, 2, -2, -4, -4, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d88852347ff8e49d85148ce88d2a1b67ae8e2dc53174b5be14cb2a29d267d845"},"incumbent_state_id":"sha256:b8258ff7b27c0de906c16e2983b3c8b5e6dc32df03b0cc56d22c46df997c7b7e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 2, -2, -4, -4, 6)\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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:123701cfd2c41cbaada6636a95b680852043606aec54c3448fef95eb00251e65","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000176"},{"accepted":{"artifact_digest":"sha256:e2f572f736863584f56c1a3c7673861ee76b6689908cf52a5c3a5131e2395476","candidate_id":"sha256:b885ddf4fe2f5e86f0216a79cf65841ae5be276f0ae874e9b3ec381350daba2f","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, 2, -2, -4, 3, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:447af7f6537e0fd2cf25669ac31c0d67e5d360eea570ab6b1b565df429aef5cf"},"incumbent_state_id":"sha256:3c73dbd7ba26edbf4efbef7904dd3c0831676be4bba27344618077022f5327f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 2, -2, -4, -4, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2918c16a7f77e0ad28ed1fc39c3cd0b7d237c7c657082ea646d5d9b061518cc0","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000176"},{"accepted":{"artifact_digest":"sha256:fcd6577c1e101d0c5397e468cb638bd9ba063d406c4e8c2c9e69c2f2cfbc4526","candidate_id":"sha256:b246016c3a376f80d46475895d94dda1ab63cd992be518c832fb6b56d76df86e","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 = (2, -6, -2, -4, 3, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0100691f8ab836dbc91eee056a3c1069a440fbb30cee5898c05a42f200c140d7"},"incumbent_state_id":"sha256:b885ddf4fe2f5e86f0216a79cf65841ae5be276f0ae874e9b3ec381350daba2f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 2, -2, -4, 3, -6)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c91d3fe1a64dca76b06977920587574b08f92a7be50782878b8129d22a804381","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000176"}],"task_id":"vlr-formal-v2-0000176","trajectory_id":"vlr-formal-v2-0000176-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:de8fa4ef12b28c7360742cf42aa1f1ce27d638efae0fcc36f2f57ba0b5719ac1","sample_id":"sha256:31070e48ecf0a2f150076ce5d0d09b25399161e1d5672cc02167b90d8b176a6a","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b70f287c5c6f9a11c88ff04d7a61fba5de13e6adeb59dbdf41f32925a6e5be14","candidate_id":"sha256:77ecc998d15006d8404f03116d08e1c19f6fa9a5602b29c980e6d910993a8d73","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":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, 5, -8, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:375213b118ba2ced26f6dbf1156d3689313dece0f921456b17a3573e6cbb2e8a"},"incumbent_state_id":"sha256:b7c3f334dbd2cb9db786bebecc5e13f6e027737adf4fb1743e2a83903b41bf25","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, 5, 3, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:02648b474041150c5a671ca9ba5a0aef605e372629ffdb48ebf77f32dfaf2cb5","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000177"},{"accepted":{"artifact_digest":"sha256:775d624df5f1b088bb28956eb40894098dbf006e3e9e8e942183491a06f4d671","candidate_id":"sha256:8e6938e71b5d8a88e3379f957a530911d07570e8670f693f1e1639f1d04c02fe","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-2, -7, -8, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:39a42719849591e5a2b35bcf90c93038a28b22f2bdebcd013e86f053d3e82de7"},"incumbent_state_id":"sha256:77ecc998d15006d8404f03116d08e1c19f6fa9a5602b29c980e6d910993a8d73","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, 5, -8, -3, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dd19a827bbdfaee2196f5c5925b9a9f5268dc5002e5b309213c1b1dab2d3f6cb","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000177"},{"accepted":{"artifact_digest":"sha256:9bb7abbe48e9d1b1bf3fbac7284877f44cfa39f0071274b37fd4923d14dec55b","candidate_id":"sha256:7145b6f5d40b7172098406a00317b18e41ebcfd38e6f59aa6e50bf4de7e10717","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 = (-2, -7, -8, 0, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:995e71bef1d0a3f7e721f4eea72ce5ba47204ee48ec26e1f73d0b4f083db68f4"},"incumbent_state_id":"sha256:8e6938e71b5d8a88e3379f957a530911d07570e8670f693f1e1639f1d04c02fe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, -7, -8, -3, 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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:921d1c4e594ff8bb2d18b6bcc3e41f6db7368a9080a2c80f66a5897092532b4d","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000177"},{"accepted":{"artifact_digest":"sha256:54c63a6df4c09bb472fc9cf8ae0152491be446e34046e401dfc23830070ab8c2","candidate_id":"sha256:d592fe86f2fe1c6cde154430e02178f19062eddbd8b678a7f8f04e9ae8163553","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 = (-2, -7, -8, 0, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:11c3686ec5f82630525922c407b999af80a185c8b898b1bdd00e76a3aeb022d2"},"incumbent_state_id":"sha256:7145b6f5d40b7172098406a00317b18e41ebcfd38e6f59aa6e50bf4de7e10717","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-2, -7, -8, 0, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f2b7253f2ea5644939c1f4c994667f422cca3c44bdc9db69c4d6a2628f2bd6cc","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000177"}],"task_id":"vlr-formal-v2-0000177","trajectory_id":"vlr-formal-v2-0000177-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:444916fa1f595fefc4999160377bd4df975c4a6cee457eade1e7ff29e4c08f6d","sample_id":"sha256:1f8cd97adec1f8a936f4fb82f670e0ce8c930bbdf7ce9adebe9abe8d23675ff6","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:a9059258f8a7cc46e5c8e275d51d5ddacc7c0b9e7d59a7e8a22150b79858f3d7","candidate_id":"sha256:0bd5d4bcdd8c57698adf574f8ddc21fc45dcb3c1f0c551d63e09db2e35e42d54","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    if x < -6: return x + (-7)\n    if x < 0: return x + (1)\n    if x < 6: return x + (6)\n    return x + (-4)\n","verification_digest":"sha256:9c24602229d19bc67a27b2fe5a645ac3ad470456f648480a1716b1b153c38691"},"incumbent_state_id":"sha256:c077ed6ffb546e53ee189dd9047f637b7224e1e07e738b3a2bea652041914c35","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 27, \"output\": 32}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-4)\n    return x + (-4)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:df9cbc90bf77f39b4e36e6c0bd5932d3d83a85677bd857777ba6bfe941b5f30a","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000180"},{"accepted":{"artifact_digest":"sha256:ece22b787ab7065409f0da2a5acbb3982bff3a5be4317232f1e3b840559d14b6","candidate_id":"sha256:2ab717bf2985dbb8e066f8413e26d8fe2a0694d2e6c660cd332242386ec30dd5","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 + (-7)\n    if x < 0: return x + (1)\n    if x < 6: return x + (6)\n    return x + (5)\n","verification_digest":"sha256:e1c6c3fc6a4d2024c7468af6e80dd3d53fe725b0daf5d60d2b7fbabb54d15ec4"},"incumbent_state_id":"sha256:0bd5d4bcdd8c57698adf574f8ddc21fc45dcb3c1f0c551d63e09db2e35e42d54","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 27, \"output\": 32}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (1)\n    if x < 6: return x + (6)\n    return x + (-4)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2bc87e6a3c3b979fed6eeeee0e23656b68e06b217c1eeb7767bf1258c69cfcfb","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000180"}],"task_id":"vlr-formal-v2-0000180","trajectory_id":"vlr-formal-v2-0000180-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:6a37260fd07b3569869997d6e779e4aa39386682e55b2a8f29c90451efb71fec","sample_id":"sha256:51c014eb9cc6fc09a4d2d8d4d3f5f6a392eb5ab610d5efa799119e428f1f4fa4","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:bf228a689ff617272f11489ff46df5db6c67489969c0119963d27df0cfd42151","candidate_id":"sha256:03f960c08234eb56b270ce22607846e89f2c9a79b7eeca4c24afc95cb94ac193","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 = (2, -8, -6, -8, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c8d32d3cdd0632388705adeefc4fcf1f3414f3eae1d3317428c205f5e130553e"},"incumbent_state_id":"sha256:e5c86c56519050bcd2716ee06f72f907dfcae6d8c79636e741b31454e26448b7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -8, -6, -8, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cea0b4a7f8e2438ca9d38e9df1e51db310a81fcfc22b533093e9bc8aed892d23","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000181"},{"accepted":{"artifact_digest":"sha256:11c859fec9c05bf012cd327b1d970a39751fc820a350aaaecdd34efbd70cd499","candidate_id":"sha256:524e4c9793c111e8e54e1610d2d585fc8becd03dd4759167d16163d2dea16132","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-5, -8, -6, -8, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:fbc2c4a240bb1a7302b9db333f11e9d5f975d7207654ab8024026e06685991ad"},"incumbent_state_id":"sha256:03f960c08234eb56b270ce22607846e89f2c9a79b7eeca4c24afc95cb94ac193","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -8, -6, -8, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a7c899836e117352b110652581333fba950794a2a1c11dd373a204a15fac8b7d","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000181"},{"accepted":{"artifact_digest":"sha256:07dbe361a9649e5c634131837afd84e5dbe6cfd3347f36a1dcd9a374f6722a3c","candidate_id":"sha256:42772ff2133ca5d7f1b1154abb2b61571cd43b05ac0fff05c170c85bd6169f7f","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-5, -8, -6, 1, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:cbaa314c2224627fb462fdd9c3963f4aa1744c64f8a2ca49cf521fcf43aea986"},"incumbent_state_id":"sha256:524e4c9793c111e8e54e1610d2d585fc8becd03dd4759167d16163d2dea16132","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -8, -6, -8, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1afe04d7b5280450053f8c0585e408469bb8ef6b6cd7e05c95ae2c5632ba80fa","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000181"},{"accepted":{"artifact_digest":"sha256:96cbd1c9642b9ff2c7dfca264547847519faf4b4211f5b2e058458c956a9b29f","candidate_id":"sha256:96e1fb07f4627eb80a8e0d062e2fa8f96b9889a4ee76c9bd3683847951150dca","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-5, -8, 4, 1, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3e202712264ebafb001ed031eff0222dcc087ce5f407ce42a28e64062581db09"},"incumbent_state_id":"sha256:42772ff2133ca5d7f1b1154abb2b61571cd43b05ac0fff05c170c85bd6169f7f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -8, -6, 1, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8ea9a664bd831ab18e46501078fa4a5d3eafffe8dc2aa0d99446ed778490d77d","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000181"},{"accepted":{"artifact_digest":"sha256:d19e401cf22be766b88f5dc07b1dd41e5142d8be018931b60cfeb73f5f36271b","candidate_id":"sha256:87f71e6e079b81fe6cc273f21281c2110ddb4240cf4d3a6596146034a35b2118","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 = (-5, 8, 4, 1, 9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ad15163310861ab2a4d1993197d01b2614fc2af279ebb6ab479178a1a91c0f19"},"incumbent_state_id":"sha256:96e1fb07f4627eb80a8e0d062e2fa8f96b9889a4ee76c9bd3683847951150dca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -8, 4, 1, 9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:124a1e60ed0597ef9316f38f581dae2a2fcdf3516a3269705738838b17fa20a9","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000181"}],"task_id":"vlr-formal-v2-0000181","trajectory_id":"vlr-formal-v2-0000181-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:a3266d82640779d78a374c3e3edbb95d6dd7546ef99aba19ec04795e5f8c7caa","sample_id":"sha256:d68a134ecd93f42d3159e3b289437cb3a5a4f0d57aa3408547493e52978e9432","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:822dd4a0d16db0e9d588973a059683448966b699ab00b1c5fb2b69acc7c2bda8","candidate_id":"sha256:ee6324d67b0ab6876dfd38117bd35c391110da331bd8331754db35e8316f710d","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":[1,1,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 4, 1, 1, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:60b2e2efdc5eb8a0532a19555e4c6d6538198878a345166f3c9ff0cd4875aa36"},"incumbent_state_id":"sha256:947c5055e1fd8f5d7bfa84ee4e3ad1f79791b61dab866f05ac884eff8cf01ec5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, 1, -4, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:48c817c9cd7ec9c2d63698eb963fdab02693fa15d70f029d4afdf84f2d7dee9c","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000182"},{"accepted":{"artifact_digest":"sha256:96ca35dd8fa959f598eb59e8e73c738a78395b8881ce196b3cb9c43cfc6fad26","candidate_id":"sha256:c10a1134f62f3e38f5b5fb1dd8c6109163774afa755a215a86c85aa4a35e4d21","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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 4, 1, 1, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:283bec98aec2cff381dc95cf37ea4c856c5d44b91c1270a696b502c55d38f1e0"},"incumbent_state_id":"sha256:ee6324d67b0ab6876dfd38117bd35c391110da331bd8331754db35e8316f710d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, 1, 1, 2)\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_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_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:176b461fcd09f2ecf031908e40cb8a1dc9309b52b2151173cd46fd240c11680d","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000182"},{"accepted":{"artifact_digest":"sha256:486905776cd2e369f188022f11cd553417995d76e9c0d702232a76fbb7661256","candidate_id":"sha256:bf6bc40906a87d830d27e7910d9dcc64f9d72e77ff6b6465eb548863672ab567","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, 4, 1, 1, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5420aa069e8d80b539703b6e729127d4f31a714b3a0bb98ed445cdfcf49b2bae"},"incumbent_state_id":"sha256:c10a1134f62f3e38f5b5fb1dd8c6109163774afa755a215a86c85aa4a35e4d21","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 4, 1, 1, -2)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c3dc12d11609b51050276058a193efc81e80598ec3ac147028d4eef548a2a345","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000182"},{"accepted":{"artifact_digest":"sha256:88a87871393ef4a17f8f9ee1afa004ac3da502a59971d928165962f1e3e2076b","candidate_id":"sha256:8a5be23dc149b1d7d6788a2479d4c30c4603a39019d522f7fa417a1b2d303a12","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, 1, 1, 1, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e87c74dc1aaed05448f4e2f5d864b71c150e5320bb2ba74d19f1ec7b54d32f76"},"incumbent_state_id":"sha256:bf6bc40906a87d830d27e7910d9dcc64f9d72e77ff6b6465eb548863672ab567","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, 4, 1, 1, -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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4d242e7bdb54a8029780a838b0153157a88c068e4a36a1cf639a32c2c5933329","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000182"},{"accepted":{"artifact_digest":"sha256:f1af7a67c7672d6a113d4656917ad1cc349352e8722e036d8f867f70018fe5ce","candidate_id":"sha256:995728f1e656f41de6f87714c6b0a2a74cbe79a0b6877e47a1bfbdce04637bfb","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 = (7, 1, 6, 1, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b9d9c6ec1825756b58e8845301f0fb5e55879a9b05318d54e799da9af446c415"},"incumbent_state_id":"sha256:8a5be23dc149b1d7d6788a2479d4c30c4603a39019d522f7fa417a1b2d303a12","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, 1, 1, 1, -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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:39f4c7f081ef785663cda4ffbdc9859eb0dda837b076c077c23bc22d21c4acad","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000182"}],"task_id":"vlr-formal-v2-0000182","trajectory_id":"vlr-formal-v2-0000182-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:5255f5026267a0a6706eb33b87d621d1ef29670687a18ea1bab5316f5aba26e1","sample_id":"sha256:f68d4f510e79e31fdc4a3030723a7186e9230d904895d49eee574c1d80268464","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b097b263169e24761ccea2daa4672374aa85d80d63e9364d30a2d38bb7852867","candidate_id":"sha256:d2158943b4f422f707d990006cc44ad7faae4591f845f9bf7dc259d8b64c0b4e","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":[1,0,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 2, 7, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3d71ddec32e7c2b08d71c07508e229586a539c50f2308e2ebc140ce07df8ebf0"},"incumbent_state_id":"sha256:c65e445d5483a81df45fb99e7f2ca29283c552ad9ceaf427b240bf19c9bc4e3a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 1, 8, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=14\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6ad43362b07673e81d56023b51f28a0a55d64d363195bcbc6330482330d07d7a","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000183"},{"accepted":{"artifact_digest":"sha256:5d9bb2fe3c05f3fb4e0d1047663e4e48107eaf820488886db48db370257645be","candidate_id":"sha256:97a96f8f24dbc231c9a1dbad66715bdb8cffb02709df22df7a3ac6474bb2ba65","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":[1,0,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 9, 7, 8, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d628ccb2d00ab39bf2047c5af8df657d7ae0c805be085d9bd7815ef77adbdb45"},"incumbent_state_id":"sha256:d2158943b4f422f707d990006cc44ad7faae4591f845f9bf7dc259d8b64c0b4e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 7, 8, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_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\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2be4ee2510559c0de0bc16fd092bfa94f352068967e56125d98f4ffb38cb8055","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000183"},{"accepted":{"artifact_digest":"sha256:76087423c79f4c8e2b09da29ebba426680ccefa391d3f470f3bf43b519018871","candidate_id":"sha256:ea1f3cad4122eca524fea396eedf543955e974a0cce23d99cbe616e3ba2c0d3f","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":[1,0,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 9, 7, 8, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e79fac514be633da2a1028a2f51f1add79da8c121d3f16765a177eb3f7ea08ce"},"incumbent_state_id":"sha256:97a96f8f24dbc231c9a1dbad66715bdb8cffb02709df22df7a3ac6474bb2ba65","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 9, 7, 8, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ecf702886fb91f27b8dfec46cd505c985ee4519416ca7bac16226464b2dd4f3e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000183"},{"accepted":{"artifact_digest":"sha256:c4d29f9f334d8ae9b7e2fcb3b17330c8012aaab5a175640583387a8b2f404e73","candidate_id":"sha256:8c885b2b92bc9060bde56b6713be89690eb42f5b8c6ee6544f700d49c4543320","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":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 9, 7, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:213d7cc1750c6f1f0bd82a843af875e541a7ffcad4a78343ef64d3e084003207"},"incumbent_state_id":"sha256:ea1f3cad4122eca524fea396eedf543955e974a0cce23d99cbe616e3ba2c0d3f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 9, 7, 8, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d5835422eacad781946678e432039bb8b433fe96f6c690870c527b991cd22d73","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000183"},{"accepted":{"artifact_digest":"sha256:9a2028fb7ae315c265f4ed1135df0970a0521b5a9f81e9f1fbb0f9cde0672661","candidate_id":"sha256:d3a51704b642b8565083236928089625367a3df86fd14e837bfeeba04b632b5f","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, 9, 7, 2, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9e3cd4c7a87dd53ca3c65858ddb95c4204659d29cc9ac476fc41a55e9722c6a5"},"incumbent_state_id":"sha256:8c885b2b92bc9060bde56b6713be89690eb42f5b8c6ee6544f700d49c4543320","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 21}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 9, 7, 2, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=13\nfailed_count=2\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4b1fcd984bc1e7662c88b65dc7c33c05f7f456e5b748f2f19e261232a15a094e","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000183"}],"task_id":"vlr-formal-v2-0000183","trajectory_id":"vlr-formal-v2-0000183-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:8698bbbfa8957eada57fd9f5bd67c392bee9624c6574593b639230a68f1eb2fb","sample_id":"sha256:ad5b80124b8d7229256594696565d11fdfa6ca5f2241777659ff3b1775dd0c0c","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c14c98c71c52197e35bd7bcd9898230d75abc8c947b408a2ab7e05ebec9224d6","candidate_id":"sha256:aaa9ee6c3f15b43173611cd754de9f36cca7f7c38638b467128dc9d466c74ecf","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 10, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:90f631d8dbc368489534ab105b41560aed5859d1e5585f5442720648b2fecae7"},"incumbent_state_id":"sha256:175a7386674e563403b46431054e8d7f13f12b959e9129fb8573fde908f21211","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 10, 11, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1a5e440fb2c67ea0ca7d86f643d5bbce9888fb686311c9a6dd630acef69af80f","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000184"},{"accepted":{"artifact_digest":"sha256:cb581f5bae77c2f154aca0758ed4cf7efa3b83d64fce3f5b0ba9670eb4e68d5b","candidate_id":"sha256:9a6af0e6e6d8869f56229d8be3b1dcef65e4922415bfd8bfafa4e9a8725f3722","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 = (15, 1, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:dfeaa30368325af9a1841a57ce80e5a63debdbec41f65179a462eaa6ab17a620"},"incumbent_state_id":"sha256:aaa9ee6c3f15b43173611cd754de9f36cca7f7c38638b467128dc9d466c74ecf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 10, 11, 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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:982f6aa476dce3abecb43782d2a6a459757e342a3a8a60fa854d269253837625","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000184"},{"accepted":{"artifact_digest":"sha256:c1ea0ff0b497138e49ef5bbec75c548a129c75ce504d0401ee2aa574b1d9747b","candidate_id":"sha256:0c17f03c05145075412b80884ac276f150ece484fff02fadcae9833e52811523","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 = (15, 1, 12, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8ec107338e6fb178fef9ebf325f09f993fff7a13a77c3bed78625598e40ab1e7"},"incumbent_state_id":"sha256:9a6af0e6e6d8869f56229d8be3b1dcef65e4922415bfd8bfafa4e9a8725f3722","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 1, 11, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:20196f1eb4dcf7889fd464ba97bf33f69a1757b5cb4c12d242fe1de9a05d2cc8","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000184"}],"task_id":"vlr-formal-v2-0000184","trajectory_id":"vlr-formal-v2-0000184-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:8d1b08b6221e1408fd4d2208b011ec1fa9127d40eeed9cceb1111b5225fa08b4","sample_id":"sha256:89e00001558c0662aff25843d399ee8a7d012fe0d8b69a11b08522e35e56c40d","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:760d78acf9ea49ef922289df2687561a8017ff663781e8c093b5a3a4e95963c6","candidate_id":"sha256:141b8edd23b3f89e46862c6948fd5b23f6f3f10040db263bfa607ad20858ba0e","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 = (3, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3114519eebcba452a448899f8af1dbf2c7aee428a253f51fc4ebd49697be9c22"},"incumbent_state_id":"sha256:6d15092eec608c39f2252fc5a18b2b3483c9a6c0575ad6e731c160506ba77ea7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 5, 3, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:43b317b2133238e67844f9441e62cfd67372dcf08d0a55d1a9fb8f618118c323","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000185"},{"accepted":{"artifact_digest":"sha256:355acea99817e5f99e9ac7d0bb73ae33dd16e9f401a67b3e220a345daa01548e","candidate_id":"sha256:38c393c1db949bc605fba067df0c50843fd0ffb3a7eb4009e7fc6356dc08fee0","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 = (3, 2, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c478aad32e811efc83b1dcf07989a22f3bcbff1da54597a58a2dfae739f0278b"},"incumbent_state_id":"sha256:141b8edd23b3f89e46862c6948fd5b23f6f3f10040db263bfa607ad20858ba0e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 2, 3, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8768c626ca43ff1375e9e5801664191dbd237cacf39e9dc197940875da3b42e3","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000185"}],"task_id":"vlr-formal-v2-0000185","trajectory_id":"vlr-formal-v2-0000185-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:52b5795a0c5b703b0917d8e275d5c6b913984b9bb74ae705a78d0585c9bdbb06","sample_id":"sha256:58f144c5c65fe765647e9d6ab7b3c7b57a6de8ec71ac7101bddc89a049d1eee4","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:0feb0d5e54a84da550e1c060b7bebd119af107c3bcf66fe762404f1c364e30aa","candidate_id":"sha256:071b5c9a61dc54f4241cba90158bf60c9f9fad43e068e83480d37758a05ce350","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, 6, 8, 5, 7, -2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:092446fafadd4e967c00a37701323e79ae6c3611648e60bb50dba2dc3e4aa481"},"incumbent_state_id":"sha256:bc2d9c2f3e9f11cc0017a5dccbdd65f08cc078cdd99978991af71905436f0b31","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 6, 8, 5, -4, -2)\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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ddab25636be56679331c67119e4f8f4aa9c00ab05bd9baa15bbbb6940dbb2661","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000186"},{"accepted":{"artifact_digest":"sha256:d1b4ba20a5d19f919f9db18e396f50b143a8203b0de0a70ea8cb5db9e3ed1853","candidate_id":"sha256:c6cd22b4aa54f5bbb710ced7ac7d1800c2d220314076d2d6add016890b1c94be","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 = (4, 6, 8, 5, 7, -2)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:3252d2791182e9b28eeb31112d0c8e51e943af184c55579aff7980592c7acb50"},"incumbent_state_id":"sha256:071b5c9a61dc54f4241cba90158bf60c9f9fad43e068e83480d37758a05ce350","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 6, 8, 5, 7, -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_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2bb8a3bc69c256725cf792ca61ddcac8a09698287986d7b02900201da1bdb409","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000186"}],"task_id":"vlr-formal-v2-0000186","trajectory_id":"vlr-formal-v2-0000186-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:288275eeb8d8918cf9c0423b2f22364b21958078982a1935261c5720fc6805c4","sample_id":"sha256:81ae664322ebfc226070d03947da69760320b7ac011d078d53849fd2dde70e82","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:2944ad19a299437fb8f2a3b3c99c35d823ece9dd0dbca670bbfc461e8e299453","candidate_id":"sha256:04b5f7eb110357f3ef1e64b9555ec396bb9e93a4ec28fb51dee83dd29eb909f4","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, 6, 1, -8, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2ea3e94da41bf87d22b28dcf48fe596242188ad192e008cce37ed38b60b38605"},"incumbent_state_id":"sha256:fb3292940e251b713d5ea05fe8099830f89772f0f393747b4c4488a4ca688543","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 3}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, -4, 1, -8, 3)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5669435582ed03ee8a0ece1f6969b150291521ebb3943a80ead5868f3f3ac497","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000187"},{"accepted":{"artifact_digest":"sha256:6331fd5c5c32af10a024ba5d656def93dd8cf57984156f34afdcdad849e2fe85","candidate_id":"sha256:3750c90d564485c666a44ae8820e9a6ddb22ecd010761d2e589f0f8dbad310a8","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 6, 1, -8, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7a04569608e996bbc37f7680bace7852cebc5e0ee83f2c172a0a5003cab3b332"},"incumbent_state_id":"sha256:04b5f7eb110357f3ef1e64b9555ec396bb9e93a4ec28fb51dee83dd29eb909f4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 3}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 6, 1, -8, 3)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:515ff59dbf1f72cc2bd45a6736b42446a4f5d91bff2f2ea4e76d9105d1fe3264","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000187"},{"accepted":{"artifact_digest":"sha256:8f62606770199c5f11a4aea66a653faca09bfbf53fdf0a159547003d3113e819","candidate_id":"sha256:b0be4348fa009f890a1a091a0a9898d2e394d5c5ae4bd7d4aa88a71946ff6031","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, 6, 1, -3, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:557f8bb17054f086c1bcecd70a5bdbd71f0da0a30d5005658d423cf892e1a95d"},"incumbent_state_id":"sha256:3750c90d564485c666a44ae8820e9a6ddb22ecd010761d2e589f0f8dbad310a8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 3}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, 1, -8, 3)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:06ef5f06d119932a6da74053cdb18dab95e115496e46fa25673d45983efe599c","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000187"}],"task_id":"vlr-formal-v2-0000187","trajectory_id":"vlr-formal-v2-0000187-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:1fa5587ee7f8b4a195eb7d66baf418821d79e1973dba07d9dd7e0197fc4792eb","sample_id":"sha256:9102ca5b11bab8d8686c11f264a08605894a0f1ab2a2e90b6a2f007053721595","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:20a0fb899df54d220140254cde6008e2ebafb8942474a56db94bddf825cc50af","candidate_id":"sha256:b0d3b33854cbe6946c35db6295e4c8e2b7448b0102251b883fd48c0143ae9887","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, 5, 8, 4, 8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:8560926f62e4abbbcbc361631f9c586d732e425c0d338cce18bed1807aa886ff"},"incumbent_state_id":"sha256:a04795b15f75498458b81d057312979751a19ef3038ee8dbae3ea137b149baf0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 5, 5, 4, 8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ea60811d51f261429d6d28ff38a2c62675d2411e6119f29c7523061da05627ce","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000191"},{"accepted":{"artifact_digest":"sha256:575856c58a31dba1bbaafc6d6e51a9988664605a4a97b7faed2ee79ea74ec963","candidate_id":"sha256:ef1c44246abea46153da2c49ce2d4df1b9993910835784acfe9ec5cc0d555f7e","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, 8, 4, 8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ab650b152f48a66acf3960991b76bea300bc409b0097ee994045c519d50fcee8"},"incumbent_state_id":"sha256:b0d3b33854cbe6946c35db6295e4c8e2b7448b0102251b883fd48c0143ae9887","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 5, 8, 4, 8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8fc2aab4e86c925bb73e81c5a9e149bb404ae4f17a2cbe32f7022e39d5909ea9","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000191"}],"task_id":"vlr-formal-v2-0000191","trajectory_id":"vlr-formal-v2-0000191-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:90f5e49416af3e70e8a18a051a7c242a30af24442e687e7819b730ebf923ac01","sample_id":"sha256:6eb0be5b96a17a87e7d9d9c4cb4695d24d05ef7a809816ed65e3f4be2e9e481c","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:14231537418e20f3ba9a1bf18625820b4a5daec2d9da53cecc8b4caf3f07d1e7","candidate_id":"sha256:aa9dcafb5585abad8ea2c8124ee2fbc40d96b77af7c7d285618567db8fc7a1f5","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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -1, 3, 7, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ad07ae89903c1425b0927cc46d0407f7dbacff1583f89575afd4b54fa038dd72"},"incumbent_state_id":"sha256:40bd565d6adfb44befbf6df8830a859677096dc2099c1e4f5b71ed1e8020893f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, 3, 7, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ea2c597c4a7ee6985ac884eb0d17d7943386619b392fc0ccf722cd97c5168e3c","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000192"},{"accepted":{"artifact_digest":"sha256:a0e111fb2d8122bbe9937ac86578fd06f8ecfdbfdade389f1a9565da163570bf","candidate_id":"sha256:463761fde9796c14f179e1ed7ea227fbc93ecf02ab3c3bad96e3294752ebdad7","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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -1, 3, -4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:947df507d38c4ed3fe0709935d524b13a5fee74ecd35fcdffcc4b5ce3f5d987f"},"incumbent_state_id":"sha256:aa9dcafb5585abad8ea2c8124ee2fbc40d96b77af7c7d285618567db8fc7a1f5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, 3, 7, 7)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ec5727ee713ae7fe46959a75c49ccc3439769e04318eb6b2b0bc027b816caa8c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000192"},{"accepted":{"artifact_digest":"sha256:5990bfbe748856026f594caeff24d92382227e562bb336bab2c5ffb37b90a86a","candidate_id":"sha256:ca0284e743dc1417a2608465e970b9b7e7b7fe889919f33f7e6f47658c51bf61","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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -6, 3, -4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:dacc67a80ac346e2f6d3e062eea6b3e99cd52bb22de744d19852eaaaf68fef97"},"incumbent_state_id":"sha256:463761fde9796c14f179e1ed7ea227fbc93ecf02ab3c3bad96e3294752ebdad7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -1, 3, -4, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3689ab6e1f540c02004355b7f75df432716ca4cc919651460ad5d714a791dbdd","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000192"},{"accepted":{"artifact_digest":"sha256:1dd9329beab8550e724003403a95f1f86ff34e656ff0673a7e27c524802fe5c1","candidate_id":"sha256:b1ea145310c1ed398fe7197e5a84b716036208f32a6ec9dc56eecc670fc6ad80","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (5, -6, 3, -4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:b5aa324b0d712d3615603c8108e448ffc4d9fe3b359bb1b9c687ecaf9aa122d9"},"incumbent_state_id":"sha256:ca0284e743dc1417a2608465e970b9b7e7b7fe889919f33f7e6f47658c51bf61","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -6, 3, -4, 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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:57422517999cab035d4f5a152a9bc98da2213db6da3d3f9fc8c14080a7533817","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000192"},{"accepted":{"artifact_digest":"sha256:986170e8befb83dbc0dab77d9c8f3eb249357227e0184725e12a68d4c5692e70","candidate_id":"sha256:a178fc799377472d05e536f45f790c7b5b46d0fc968f16e08c234391a778ed89","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, -6, 0, -4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:7c485549d01f16ad67efb784d00ea6a082747a672c903fa06366674eefb22c7e"},"incumbent_state_id":"sha256:b1ea145310c1ed398fe7197e5a84b716036208f32a6ec9dc56eecc670fc6ad80","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (5, -6, 3, -4, 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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:93a4c1df913585ff98a9becbbe572ae2b97739ab9933928a36656513e4802216","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000192"}],"task_id":"vlr-formal-v2-0000192","trajectory_id":"vlr-formal-v2-0000192-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:9d3c4b16e057d83f66581ffdb432b443e7583e1f0cc362f49afe8eeb3523c0bb","sample_id":"sha256:77d67ad8ac1d41a4d86536fff601d283f35adbf8f9c705b2d7dbb5457b2c78b7","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:cc6c5ee265afef6b1c29ffc190cb4273e199868a642e44cf5e46f4e5b5d8d2e0","candidate_id":"sha256:229d2f74b22d4c3c0d73ce30b6f8233684746c0a55b80956fe892fc74baca2e1","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 = (6, 1, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:92c6d4403d8e04a9d232f33a222347d64861e881577ea5a5b88884eecddd4d33"},"incumbent_state_id":"sha256:a7910aa4e98535a8a5a4ab1ebabd809c8d247cf757a42daba7f0cb488ca1f6ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 1, 8, 4, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7d11f4e48ab94808f3fc8902b52b3122a5f275a45adf36bf1c05c02861e46ba7","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000193"},{"accepted":{"artifact_digest":"sha256:5a9d2c312bd4d1c4a99c874c40adbe4c51521a1d4cb250981bf178a28cdba901","candidate_id":"sha256:31064b3de308878ad3ae7fe98b03655bf68570626dfe89c2a0f2ad5c83627aea","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 = (6, 1, 3, 1, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2f63add585033c61ee980b298d5adf3a7dfa8210d5906bf054607d4bc2b2592e"},"incumbent_state_id":"sha256:229d2f74b22d4c3c0d73ce30b6f8233684746c0a55b80956fe892fc74baca2e1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 1, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bea89108fbc8f90abd30bf26b9fc8fa1e02a038b889caeb6f053767cf2a4d857","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000193"}],"task_id":"vlr-formal-v2-0000193","trajectory_id":"vlr-formal-v2-0000193-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:f813b785fb4f8c5ebfd736fdf2a1ea4c41b8710dfefbf974f4fb268e8456c682","sample_id":"sha256:42220cdcde5ba1537cd2986248f7a036bb2af36b0d04dede7f64a54b052d8537","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:86f2526cf3863d5fa9c96dd131cf507061305e28e1eda4e55d850ed10416fa6d","candidate_id":"sha256:0fbf6d985c0314584a66dff2a6d34cbce7bc705d1c6d4c92b7d7c49e98c4791e","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 = (13, 5, 2, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e80b64d604519ca79a1e96250d462ed6890f361e72c463e999d547af4b4df21c"},"incumbent_state_id":"sha256:3994c276aaaa80dd332c93f6bfca2f1f4db7388752cf57325beee3f1f3b95179","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 7, 2, 15)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:74f7adb5e89b0f3bdad81b298d13116e36356b240e0f4bc788f47c73b36b51c1","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000194"},{"accepted":{"artifact_digest":"sha256:4dfe68cede83266a1d4c33a56cff8b310a7650e97c3b68bfae2064ff4dc27fd5","candidate_id":"sha256:5fa7b1f02f79a969e50226314f4456ac07b28273db88ef309c3a86bfc500726c","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 = (13, 5, 7, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d119617e9ad991c312f46f5bc3009bdd14d3e6e3822f3f7a88248c145f212e33"},"incumbent_state_id":"sha256:0fbf6d985c0314584a66dff2a6d34cbce7bc705d1c6d4c92b7d7c49e98c4791e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 5, 2, 15)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5a4b5d7f6a64488554b979e317e91d92ae76e4e194460ec4adf8bbb9e4dbf519","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000194"},{"accepted":{"artifact_digest":"sha256:a94244fccbee9d1132de79d45edec3fc1fec7f19bf08d56280baff9df13afe49","candidate_id":"sha256:b7883a48776a1a3d2ad2681132fb0404bd5bdd80a6c3a25275dcc63b664fc772","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 = (8, 5, 7, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:45211f38b5d6784daae96ece9f071fefb6ac19d5cc789f02f4ced8562a76b8c8"},"incumbent_state_id":"sha256:5fa7b1f02f79a969e50226314f4456ac07b28273db88ef309c3a86bfc500726c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 5, 7, 15)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:079eb796026565e8b220390908d33227328e6261e3b7cd15f34f10babe30d6c9","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000194"}],"task_id":"vlr-formal-v2-0000194","trajectory_id":"vlr-formal-v2-0000194-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:1ccb4776cb7c46f285261bceb857a9e67ea8327004e8612167baf726815e3bd1","sample_id":"sha256:193ef80091b9e2374a4dc2d60f7303e9fab1086e050c2f9d876dd83b9fad0e73","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:8c7bc84a973237e1ce340e44dcb859a5af558554157ddd87f817cc9109c67502","candidate_id":"sha256:21cef0270a6c3a9049490f27570c8d5840f0079a25a41e6807b831562cbb7e8a","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 = (3, 1, 4, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dc5d36e165648aefb69949b21421e4304be59d545d4236b9fa8fafce4bbee08c"},"incumbent_state_id":"sha256:0aefe1c2b563cf8e8fdaaf10c6f25d1d47a9b17bca84b9265392d4befaf4171c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 1, 4, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:56adadd32104caf399ff8bdcdc4a94e3dc02b0b5dd2f2f8986ce48af8a3610cb","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000195"},{"accepted":{"artifact_digest":"sha256:f8839db3ed437e5b3a8934b8359f1ade9935c68a8b126ab34dcf89aca418b850","candidate_id":"sha256:ea5ec90b7417096fa8af79563c5f02db11eab6c1861b5bbbc6ac9d5b99c67934","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 = (3, 1, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:066383df95fd69fa172e4f812f5ea22d5d0a2b3657bb79d943b755285007803e"},"incumbent_state_id":"sha256:21cef0270a6c3a9049490f27570c8d5840f0079a25a41e6807b831562cbb7e8a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 1, 4, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:187b7e438d88ccd60bbf4fed6024ccd97697a9b3d9ff988974496968062d608f","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000195"}],"task_id":"vlr-formal-v2-0000195","trajectory_id":"vlr-formal-v2-0000195-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:6ddfb7b279283dfe97c20eaf7e67d6f089f3a7fe2379fa19fe8dd0d064976302","sample_id":"sha256:132fffb0f502fff06d64c85464d9ea1b86e1b023786823f9f09e10cdb9122b66","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:cabb21d287932675b40d87a54175a371025fdbe36dbc8110090462c8680d70f1","candidate_id":"sha256:b0fa4924bca2ee35ac23e1acca857275440193976bcb31387a6ac15a3004dfbe","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":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, -4, -6, 6, -1, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:43ab6a78816e26aa03daca1f51f430ab39059dce25dd9c20a4af302f0bcea9e9"},"incumbent_state_id":"sha256:198ff7c38a48f64a37ee6b2cb63771768bc0b55c0c1151925595a31ad156616e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -7}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (5, -4, -6, 6, -1, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b5adffb5870f509d3bc09941dcf2ea156cf3162ed37a4dea085ef3834634b949","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000196"},{"accepted":{"artifact_digest":"sha256:30b83d44fbd669faed398d6359c456235d67c7daf27b523b55e886d33fa84b7a","candidate_id":"sha256:75ad68afd4cb1321c3dcbde6fc634c943fb8cc820481e241927b346372997ba6","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, -4, -6, -3, -1, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ee4ea2e85a9f3d55ac190cb1e2f31a5de11bae5d5dc1ccdf37ced4d868dc07b9"},"incumbent_state_id":"sha256:b0fa4924bca2ee35ac23e1acca857275440193976bcb31387a6ac15a3004dfbe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -7}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, -4, -6, 6, -1, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4e54754a49c8d8e1ef665dec7e52f0fb3b460595bf4754f282a68ed2a436f4fa","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000196"},{"accepted":{"artifact_digest":"sha256:355e27ba054eff42ad88ec81b941a02887a705773dd9d6da376186c39a4f44ea","candidate_id":"sha256:f2d515bfaa3ed7f1d0ee3bde15b6e459a2e2da65be89af3e6532c2f3ebd0d5b7","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, -8, -6, -3, -1, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a2af5f2120bfcdd50d968d2dd28ab17f89ca163426494eb914c2b5cb8d5c0c25"},"incumbent_state_id":"sha256:75ad68afd4cb1321c3dcbde6fc634c943fb8cc820481e241927b346372997ba6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -7}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, -4, -6, -3, -1, -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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b600a5084f6ecaf8d7afcbc66cf6ea60c73d670cb5b6b77b606f8d6e13c15185","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000196"}],"task_id":"vlr-formal-v2-0000196","trajectory_id":"vlr-formal-v2-0000196-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:bd50fdc03c1171106cada5565656cb59ac9283feafc8f6ec34e0a0ac76829403","sample_id":"sha256:622082136d3268ed8d485e46c91e269f403c8a258abdb7899ec47f526a6dd695","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:1b8e8f3895999f12b9b2babfeb3e739c04027952179325ba4f51f456f5828452","candidate_id":"sha256:a5e4a8d3b349ddc311e1d1ea30202d664502c7e00a7c3f5c299e8f3c50bf0935","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":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-1, 1, -2, -2, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c60df0401d1b990b286e053df7a515ee9d32ea6806b36b5dcc510a08afbbcfc5"},"incumbent_state_id":"sha256:bf40fa6c8079b5a66def06ac57600a3196d130dd9d40ee8014c93393ff16b40b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 3}, {\"input\": 4, \"output\": 10}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, 1, -2, -2, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:99840c5dbaa5b85e3b4c74aefc69b2816be6fa17ed21a73f6e3f96e829375247","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000197"},{"accepted":{"artifact_digest":"sha256:e9392f86fb3694d37b99adbd5645353cce27a3376f2585d370d5db8898f84645","candidate_id":"sha256:bf15d8f358bb46de518b7269b2b79e1b6a9577627e11ac0e46f0afb28b7129eb","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-1, 1, 6, -2, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:93890474f7ec04e4bdf172335fb937739ea8d216ecea39a9158ad2eb8a4d31e6"},"incumbent_state_id":"sha256:a5e4a8d3b349ddc311e1d1ea30202d664502c7e00a7c3f5c299e8f3c50bf0935","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 3}, {\"input\": 4, \"output\": 10}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-1, 1, -2, -2, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:03012979592b73738a3b42f997281ffdc2b0c085c80f87aa67a1a22b44e93df9","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000197"},{"accepted":{"artifact_digest":"sha256:15b04e045f9c058756f4ff29f0ea40871fb2879dea8d1899cc14704811821019","candidate_id":"sha256:f492aa6eec5210b52ab31bf5d2d8b992ee0554bdf2f9ddbf0828d83306407d02","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 = (-1, 1, 6, -1, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:764375434b4cc43adf5530cdfa51d521031840d080d57fffa8dfeb6712f662ae"},"incumbent_state_id":"sha256:bf15d8f358bb46de518b7269b2b79e1b6a9577627e11ac0e46f0afb28b7129eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 3}, {\"input\": 4, \"output\": 10}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-1, 1, 6, -2, 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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cdf4cc1c4478567460833415e2e3d8f55ec8bac241da53cd480d6d9181ee946d","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000197"},{"accepted":{"artifact_digest":"sha256:5f7b7e2edc9951e41159283f8fe38925aae1663f1cffab84dccaa62bcb881f6b","candidate_id":"sha256:c9e6fc758970375abcef866cc9b7b8a02f3481a314bbc36a6ff8fe1545534b0a","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 = (-1, 1, 6, -1, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2e981c7adfed028c75820784c8aba37628fb3fefd37abe9adb0933fbf8af9937"},"incumbent_state_id":"sha256:f492aa6eec5210b52ab31bf5d2d8b992ee0554bdf2f9ddbf0828d83306407d02","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 3}, {\"input\": 4, \"output\": 10}, {\"input\": 6, \"output\": 5}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-1, 1, 6, -1, 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_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9d7e21e9745813ad39e9a959ede3d213329d1b6e887c4cc8c9e9b47f2545f9aa","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000197"}],"task_id":"vlr-formal-v2-0000197","trajectory_id":"vlr-formal-v2-0000197-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:b4bda0a1a595381dc5f6c24efb57ec0d3e78a9b6709c31796cd6c4b81dd2e6df","sample_id":"sha256:59bb1ed22f358b82f73d055ed79fd6ba7e639c4bc935b1b781c18a4bb000d058","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:85517f464f7fc38228e385e48c14e3443a391e1a2c754b0cc173ef027738d2f4","candidate_id":"sha256:73ab66cf1eadb4ed285a20484232a4da8f7870d2904edae3d0a278ac08a5eb67","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 = (-3, -8, -4, -4)\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":"sha256:902824209cea175b5790209b6576fe314cbacc38b8483df3f6899d4f98278d8f"},"incumbent_state_id":"sha256:bc1a440a8131325cd6d47042a0adeee87937665de7bfb56c5553612f5dc67c10","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -26}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, 5, -4, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ef38456268b58c61b73ed5921c51874e5ff3225cf2e1418e02ee9799d9acfa62","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000200"},{"accepted":{"artifact_digest":"sha256:59aea9b3f5757cc54e645d0620d4accc30b19aa34e640d3b2369af9927c92027","candidate_id":"sha256:f1756b24bdc5cf6d298baba4a71d997f91ad52870739bb115fd3549cea958774","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":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-3, -8, -4, 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:ed8a70572041cf7586f22b42e30f622a0dd9adcacc0aea8797984b6272fac3ef"},"incumbent_state_id":"sha256:73ab66cf1eadb4ed285a20484232a4da8f7870d2904edae3d0a278ac08a5eb67","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -26}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, -8, -4, -4)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6451b4147357785713afee54c44b2321ed87ab40fc3dc5ddc5c4cd1a423aed76","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000200"},{"accepted":{"artifact_digest":"sha256:ff264c6d430afe3f282ad1e0ae850aa3825a7c1faaff4573b484aa87aecb1c79","candidate_id":"sha256:4b4297db67377f837d77f084f96a65eedf30201f448fde2a17e5a4ac1811eff4","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-3, -8, 2, 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":"sha256:1da99de6a854edd99d1c45e306ce6f83e33e6dab78ea767aca4ac504010881b1"},"incumbent_state_id":"sha256:f1756b24bdc5cf6d298baba4a71d997f91ad52870739bb115fd3549cea958774","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -26}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, -8, -4, 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```\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_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dfba3029447fa835ed3ec9b6642192f03f900dd3a9c36db30713189ebf02bc1e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000200"},{"accepted":{"artifact_digest":"sha256:28fbfdcdc86ff4d798abc56eddd031dd4ece2a9eaf2e6e09065c99df0c0f0572","candidate_id":"sha256:5a1b7143c87294aaba5ef49ca6bc2d6fd137c59d194dd5d29fdf5fe2d4adbe25","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 = (1, -8, 2, 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":"sha256:7e07bee53fbfc59dafb01dc5184ff09f398a31e57293f54b6a95906a59a7d445"},"incumbent_state_id":"sha256:4b4297db67377f837d77f084f96a65eedf30201f448fde2a17e5a4ac1811eff4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -26}, {\"input\": -3, \"output\": -11}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, -8, 2, 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```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d4b864d83870976b1df5b60107742360c5756308d25d1594e7a7d98f3a9241ac","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000200"}],"task_id":"vlr-formal-v2-0000200","trajectory_id":"vlr-formal-v2-0000200-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:450207b59eaf5f2ea69f1748fd8234e88435dad923ce64e244ba74c439b67c2f","sample_id":"sha256:036aa77b5aec53b0b592b001943114f7674e80cdf782178426708a388f58db43","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:5782b68b50db780ea92f7347fe5b618d1d3f773f38dd19596c43d8b22ba2045f","candidate_id":"sha256:91606896e4bcc37214498287e7783d1355f9e97efdd750230fc626bf6b54aa29","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, -5, -4, 9, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d4559025c2f2e8908b89b083fbaf305ffa06892e6448f2bbc47d1ef1a933bccf"},"incumbent_state_id":"sha256:59d0ffac34ec43b0760daa5b569e5344bdf1aa16825130a246ceb39e1ca70df3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -5, -4, 9, 7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5038b759ff536f6c1b8f27fcf157700bd269dd8c5a8227f19a8b08a19edbf8e7","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000201"},{"accepted":{"artifact_digest":"sha256:c86bc34eff8a7f34b5ab7700592974e66d828441a656aa39cb0f6b9290bec942","candidate_id":"sha256:042fbe1a46eb2d45a0f8fb2828d1b6548e48951a51081f6da7d685ff12789ae5","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, 7, -4, 9, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:26c5d0b03824f1a5613a8d8b3dedeb9523e71b3801adf9ecf6e914d2185dc6b5"},"incumbent_state_id":"sha256:91606896e4bcc37214498287e7783d1355f9e97efdd750230fc626bf6b54aa29","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -5, -4, 9, 2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9553c23eef04d3ca70f76535fd1fecb1d3eae5ec11c9443b5d8f1edd4e99df76","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000201"},{"accepted":{"artifact_digest":"sha256:6b77b51d0331223a792f09ae23f1f9216ea2d40a54fd47d7d53c90a87f416f2e","candidate_id":"sha256:98a8e3a62b5be7901bfb2416634ba49916ef3cf15658d332f893f09c5fa9fd03","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, 8, 9, 2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:bbc21a6cd7a9b4075524c1436504d2b2cfe9fdac900a4414d5e9f307e6f65d00"},"incumbent_state_id":"sha256:042fbe1a46eb2d45a0f8fb2828d1b6548e48951a51081f6da7d685ff12789ae5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 7, -4, 9, 2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:668b6c252e95d558516720be7062aad73d6ba6096a92929ec148e62ca55dc9ed","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000201"}],"task_id":"vlr-formal-v2-0000201","trajectory_id":"vlr-formal-v2-0000201-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:c7c8d20530c921741b6287fe1ccb55636c6df4f412daf429283879e6f79fa374","sample_id":"sha256:6036eb265e3fb8e3e05de5582d8a0885086b18902ed0c68a9b1090ba5d0bbd21","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c62ad0f5cff87c283ed83caabc581f3e50c1e39d0888b8dfdb4ad46b741a5fc0","candidate_id":"sha256:79637f8e4b8c4b26f13236594d29c2099ecfb2d1b45e3083a6b38164aea534b6","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 = (-3, 5, -4, 5, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a11353d62ebac562c813f8044afa16ef9104ebd34181eaf747ba5e8f88533bae"},"incumbent_state_id":"sha256:8d6d7788dfa74fc8c382ed733a5b73f87e7b0911695e139986c49b2c2bbb33b2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, 5, 5, 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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0098cda89cb7cb14a696f81a980a51aab2a9ba8235e25bcd1b2ea7e88ea4d67d","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000202"},{"accepted":{"artifact_digest":"sha256:3ae9adb08608f0f9d36cfd3b7f0938c61fbb0944003bf006d4fab9d2a9b33998","candidate_id":"sha256:fa63a4f3f828e97168c27d720cf67aec11f4e4488abbfd39b086095ad94a57b8","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 = (-3, 5, -4, 5, -4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d188ce4b9b629c7cd00e3a46fef1a969aaecb2a88d248185ee69f0a2ede0f23d"},"incumbent_state_id":"sha256:79637f8e4b8c4b26f13236594d29c2099ecfb2d1b45e3083a6b38164aea534b6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, 5, -4, 5, 7)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:11bcd2420a281788ce4d8fd19587f94ec999e0a2302cbdaa756405748355728b","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000202"}],"task_id":"vlr-formal-v2-0000202","trajectory_id":"vlr-formal-v2-0000202-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:80338719c23e974ce5611fad929f88a35fe42a329d345774d3395b0ff3111adc","sample_id":"sha256:2d757c4e8636fa966565b79df21d6de6de8e38d0c91726f47b44cb7d5860f1d9","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:96879fecc5aa83e8ea33b46da243bcf6419612c3ca333b338a01a27c1c4389c7","candidate_id":"sha256:8e73ea06139333fb6860992260acc3938bfb8b19719e8b187e6d26e57d69d9ce","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":[1,0,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 7, 8, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6fe99da2bfb814c62947b6d1688f0d5a86f8fde3abc8ff61e6774318522c552d"},"incumbent_state_id":"sha256:1b8281b7b0bc16f60e1f18d6ff65e27f4ba228a465c76772e44d9bd515e42dae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 7, 8, 6, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=14\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fa573b71135dc9ee4694bb426323587d2ba17eee95a63f9a487c005af9003b9a","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000203"},{"accepted":{"artifact_digest":"sha256:c91526b4d0fe66513c8667a800fd41aa2c87b9c8dbe94f49773096aa6090d729","candidate_id":"sha256:9da06bd7058ddeb00f31a42f222aadd06843d4c63df1c045366e02bbb020d833","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":[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 7, 8, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:43f05b1ffbafe4c104c9478d4b7b22c8926b2d0f2d3d85059c58771c8f6d7c9b"},"incumbent_state_id":"sha256:8e73ea06139333fb6860992260acc3938bfb8b19719e8b187e6d26e57d69d9ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 7, 8, 3, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1b4d25579308d3ba12d05c9df646bba85d8e3b9e5f92d2bd78f7ff8b88ca574a","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000203"},{"accepted":{"artifact_digest":"sha256:4f05f5edf340bbd14700b4bb5529499cdc06948f3e691718124aedd91baaee54","candidate_id":"sha256:95ea7e06f396230f5af9c4400f318b44fa7f44dc6197c3a2bc33da5ef9638ae9","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 7, 8, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:63350217b69bb581b27289a74ebcb38b179ee993a35f70c090e33b33786e835a"},"incumbent_state_id":"sha256:9da06bd7058ddeb00f31a42f222aadd06843d4c63df1c045366e02bbb020d833","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 7, 8, 3, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a647da83f863c4217e217b1900f07da6eeccb676f200d6c27465805498966fc0","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000203"},{"accepted":{"artifact_digest":"sha256:ebcb81c330ae6c68a00791c72995d1f51482ddbca8f1df4f2754bf67a309160e","candidate_id":"sha256:e25b6a1b36dbd206470ae34e5f6667e634a3f3c7d52fbd4385d1fc9bcde48a73","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 7, 6, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b485547dafec0989c92daa02caedbd99f198b97662d6f7aafe3c5cc48d5aa142"},"incumbent_state_id":"sha256:95ea7e06f396230f5af9c4400f318b44fa7f44dc6197c3a2bc33da5ef9638ae9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 7, 8, 3, 9)\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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:eb793fc78513f3478b8951acbb549ba94496380f2154559b2516f72d61cfbf0e","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000203"},{"accepted":{"artifact_digest":"sha256:276cd04398b7ddc62082a3503a146b26fb63a47c65ace1bbff895cf9968512c4","candidate_id":"sha256:f4c90c76dfe3145b42b84dd6075cffc33f378e117d427e5f65d6f0b8aad039b4","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, 6, 6, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:85703f0d97228996a91ecae326f1531ce95c1d8f76e8a83c2438befa87d0f2a4"},"incumbent_state_id":"sha256:e25b6a1b36dbd206470ae34e5f6667e634a3f3c7d52fbd4385d1fc9bcde48a73","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 7, 6, 3, 9)\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_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:690bd77210d1eb6115114f048f6d41db721d7e9cd5df656d036591a1c86cd55f","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000203"}],"task_id":"vlr-formal-v2-0000203","trajectory_id":"vlr-formal-v2-0000203-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:faa89710688b9a88a5bd98fc0b88233cf3396bf0f3e189583ab9ac70e3fceee2","sample_id":"sha256:756679719aede1a4668fc9b4ab0e2ba28600a62ebc340cefa8b3ea3f37b5b367","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e5cd98b8f5f1d363c6db05f177374e19ae2f1723ebd12fb1a45d669dea4d1fac","candidate_id":"sha256:5fe5e3186049b141e2afdee8472a4d74ca41a2cf943a20970e1f708148fae2be","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":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (10, 13, 13, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ae84e2ab5c56a9d65c02d650319a999aef19192ea31439c00e0e96912651d4ce"},"incumbent_state_id":"sha256:5f7b2af2d4855029d93495a62a0e5519ec97e76c735fff9a448aed363a2e1ed7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 10}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 13, 13, 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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f6d6024432e129374a17476361d3891179e895b6b2f0a0cf49f54a23c7cf0b1e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000204"},{"accepted":{"artifact_digest":"sha256:ca7bb0435ab74d04d454a5e2fcc9502416cfe5114d342be1a787f8e83f3beae8","candidate_id":"sha256:8848705dfeaf89c62ce0b2e4a8292c990980942c32e45f8ca740bb99d8d97c26","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 = (10, 7, 13, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:25bb76c2c07c88796cbf55065160115b9b9cf63727e903ceda0eeb176ba7f445"},"incumbent_state_id":"sha256:5fe5e3186049b141e2afdee8472a4d74ca41a2cf943a20970e1f708148fae2be","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 10}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (10, 13, 13, 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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c7aafece56a25013d308eaba4b786d6c6a8c0ed75bfaafcf3e260dc1f9c1257e","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000204"}],"task_id":"vlr-formal-v2-0000204","trajectory_id":"vlr-formal-v2-0000204-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:540ab39ea0b087bcc7c686645b83ab92748a86a04d30cb08535669b85e3ae93f","sample_id":"sha256:9c4c1a835593815a286efce4c324457c86684823c06cfdec3b66664985e0b73a","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:a6f524a99a976c538386ae284928d9287651150b3473ae975fde082851b230d7","candidate_id":"sha256:ce6d59304fbd2d2efce9b0c5d3cbfec9e262311fb5c000cf2237098ad0caa5cb","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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 6, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:37abc2b79054e8cdde8b6c9a1427a6a27fdda3f0494138c5d62e16ab93730fe2"},"incumbent_state_id":"sha256:851ddf189a0f8164a829af2ae6159a8a5139c69b3319b61d6b727503854185a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 1, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6ad483fa981c0b3184b0c3a5d23776c248e12ffc4311d3817b0086debd4b454d","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000205"},{"accepted":{"artifact_digest":"sha256:6a18a53e09074434e1cd1020b7e4c07ca2db4e7bfa4a20ca597f470e96a0148a","candidate_id":"sha256:e44cc377a7deb0ab21cee3c336e7959d447e87d01c4277f42626dd14b290cc42","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 4, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:36a2b7ff157e1cec2c1fe9ee1b82b97d5f0bc3b761fab8de4701bae098fbe8a3"},"incumbent_state_id":"sha256:ce6d59304fbd2d2efce9b0c5d3cbfec9e262311fb5c000cf2237098ad0caa5cb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 6, 1, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0ebf2c93a3b4970a92fb4b8834ad73510249d8be92f3e165fd722760fc0ebb51","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000205"},{"accepted":{"artifact_digest":"sha256:0083df8495f358b0784340685adbb148f9c20460f2fc65d5f258c03e35b53541","candidate_id":"sha256:781886ecc66159c758f56183a35f5d5e8980a4a18c1ada1935250588ea388b24","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, 4, 1, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a57c1a8a15d12b4de2d6c713d78aaffe643558656b8b918c97c9e63df7223b5d"},"incumbent_state_id":"sha256:e44cc377a7deb0ab21cee3c336e7959d447e87d01c4277f42626dd14b290cc42","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 4, 1, 2)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e4617e2983a04a20fdd4fdac3c35bf75d64fa7ac8dbfad3e72a91be345b1cea4","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000205"}],"task_id":"vlr-formal-v2-0000205","trajectory_id":"vlr-formal-v2-0000205-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:4c2041cff5649a3835f7ac70c9b4a7c3c5701eb1be971cb7203931297558cc24","sample_id":"sha256:1a9418d9b417b09d88bedb21d97b3ae60317d4ab326c40072cf3dfcd2bbe017b","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ed3febfc996605f3ff50581cef93b9506beb7dab65118ca76838ccb849b52e8a","candidate_id":"sha256:adfc26c84bfadedfb5bfc7933e9bac49c2b9f92e6ed99409af023997a5521240","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":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 2, 1, -3, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b9af05360455e65401d92a37eb1a9f63ae16bd728993cddb57d1bc8876f53bd9"},"incumbent_state_id":"sha256:a356e0e8f1a0e46fdc3a45351dfdba903f6459aa974af4a29d8abccf823dd24c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 9}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 2, -7, -3, -6, -3)\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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:87d823946007d998106aa3a36dbab67de39224e323ee4772ce27366c3de0a030","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000206"},{"accepted":{"artifact_digest":"sha256:007c81043552d1be70993ac77d4edc108badc27ee4b48e0a77f47f92f3ba8280","candidate_id":"sha256:27b76b630a25e35860fe82b7e4f566fbb9c5adc80219cd6aae2322e145d66777","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 1, 1, -3, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:122c63ed9fe68f4c88ed0279d29d0541777985907541149b56e872a5c59984a9"},"incumbent_state_id":"sha256:adfc26c84bfadedfb5bfc7933e9bac49c2b9f92e6ed99409af023997a5521240","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 9}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 2, 1, -3, -6, -3)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:207f428c4129f188a47d890333f8d6a616d0a66c776a485e0372c308bb53b80f","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000206"},{"accepted":{"artifact_digest":"sha256:6508238c5f7188a8fac2cf436a1ac9244c912ad28b84f9610f5251764e369ba8","candidate_id":"sha256:86a0acf1f8db1a033cc355160eeb886ad17026e47e237bb81e7b97a3d4333630","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 = (0, 1, 1, -3, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a5b09e1d0dd3d9756de6de3b5d529770928afb08618c3659c7d3068834db3ea9"},"incumbent_state_id":"sha256:27b76b630a25e35860fe82b7e4f566fbb9c5adc80219cd6aae2322e145d66777","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 9}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 1, 1, -3, -6, -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_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1fb6bf8dc24143ab87785540d62e3950fe8deda8a77c06c003e6712f9c557ac3","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000206"},{"accepted":{"artifact_digest":"sha256:61542048f19f2f53afd552af82a7cef34ceca41dfa1100064dad43c470933a6a","candidate_id":"sha256:1f13f0a8bff20185b7c81baf65f68b7d68cecd5b5f7a359e3dd40bdcd74a3a84","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 = (0, 1, 1, -3, 5, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:bd0cecfd4a308e4e5ade638f3d31def37bb3c5143d9671a8c6d8fc8020c9c785"},"incumbent_state_id":"sha256:86a0acf1f8db1a033cc355160eeb886ad17026e47e237bb81e7b97a3d4333630","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 9}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (0, 1, 1, -3, -6, -3)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:39142bd54032cee916bd102ff521b402100ca6297c9bd099819058ce7a17aefa","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000206"}],"task_id":"vlr-formal-v2-0000206","trajectory_id":"vlr-formal-v2-0000206-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:559150203493e859ef7f82ccf19a5bf00444d586a904988827e8f15eb5a375d3","sample_id":"sha256:43d62667189e8497cfd94cf084595c9bd2c7421372c37fbdf8a37024f5e8f849","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c14448b603982459606fc52d65bc8db166e758e3c5ebafe618a09b3b3c5b09c6","candidate_id":"sha256:83063da4ffede659d7f986426ba99485c4f6e35315ebdc2746883b7303e95485","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":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, -5, -7, -8, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:631e9c332a11e2bac7e5e65fd258891aaed25007e161048fcf9059613321bc0e"},"incumbent_state_id":"sha256:798a5d173ccb2916edf1ef1d2383bed40a4ef43d0def3bbea72a1fae94ff7656","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 6, \"output\": -2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -5, 0, -8, -3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:38da1a7fbd9f1f45180c9c7ccef808f4ea5d0fc14e5c1dcb5eaafe7204b27f40","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000207"},{"accepted":{"artifact_digest":"sha256:485593fb9f08c92267ef5cb8bb907bf3cad7a67522fa8cd69d4ad86f4bd283b3","candidate_id":"sha256:5df5ee5ac5b2c5efe137999ab5f8d4a1d0c2722a5ad60783fd401838437de425","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, 1, -7, -8, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:5b47e223e4c1294f0be1e1c12eb76a991d5c0018e8705101907ee9ebfed5d291"},"incumbent_state_id":"sha256:83063da4ffede659d7f986426ba99485c4f6e35315ebdc2746883b7303e95485","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 6, \"output\": -2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -5, -7, -8, -3)\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_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6afdb23b70bb90f372cf6d4eb56a5c4aaf0aa4c4acd63430a75327a31c2dcb5b","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000207"},{"accepted":{"artifact_digest":"sha256:2605e67f27d2d6b824f0324a20a3aabc69dda93336dd70bdf0ffa73ea7c48721","candidate_id":"sha256:4508b49a10d1d84d1a48fca53b76ebbf9b996014ff1f1be1f874836c1b2e86b6","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, 1, -7, -8, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c762b61f33cfb49fbab7ed8dd20cba07502874b0b7373938904379bd5cb90ec4"},"incumbent_state_id":"sha256:5df5ee5ac5b2c5efe137999ab5f8d4a1d0c2722a5ad60783fd401838437de425","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 6, \"output\": -2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 1, -7, -8, -3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6359abc9c424b3d468eea668226d6e5629f8f9502abb27b643ad40488514b35b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000207"},{"accepted":{"artifact_digest":"sha256:9f5cf357accf385bb0611c75c3ce6624d42e619868c19a6e6af3e3523a115263","candidate_id":"sha256:95097e5a547fa398e9cb11b902620c53d3713ac0e865432c8622bcdced667dec","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, -7, -8, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c566af23a228e0ddd71ee551f1f4e36fcd7112f235261dc28850778e953b4ba9"},"incumbent_state_id":"sha256:4508b49a10d1d84d1a48fca53b76ebbf9b996014ff1f1be1f874836c1b2e86b6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 6, \"output\": -2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 1, -7, -8, 8)\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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7762084e5a903347988980e46cfda2e3ea9e9d45b36f1749d099c48853ae7d9e","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000207"}],"task_id":"vlr-formal-v2-0000207","trajectory_id":"vlr-formal-v2-0000207-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:4feff65d86cee52d92f90dbdd4ecac5798d96b1a02825f3c1ec0cb518778fd1c","sample_id":"sha256:31e20005a8b871afef53cae9fa2e4718e1ad2c5f5a486e37626857c4c64c8860","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:9b1bff36f8cc29e6c6884620e40c9bd4417d4b3bcbc19fb656244610010fb113","candidate_id":"sha256:cb65589a34d5c90726dcf8eb69b798e47a682dff6a796cefcceafebe2db064b0","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 = (0, -1, 6, 9)\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":"sha256:1f0d214cdb8d81183398fa707469c627c7580a40f29b5595d81452376f86b61e"},"incumbent_state_id":"sha256:e3ff669ec85105a6da68c9fc43f51aab7989049753a4b8d5f87c276860808e6b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -19}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -9, 6, 9)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e32f75ca7f4900eccd46aabdb8bbd5144e92f8dd36127ae9ae8f3d178fd9cbcf","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000210"},{"accepted":{"artifact_digest":"sha256:b48d16e28d1853d3d35b56a6758426b617cb3f060572e82732551801292f5ec2","candidate_id":"sha256:185d6ee74b0635fcbe5f8e404b38cc11db3f59efa832e0e1db5eada220729297","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":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (0, -1, 6, -1)\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:a1a2ddfed9044ff33ec2d41102d987a12d8dcd6e13e81617a881c4e0befc973a"},"incumbent_state_id":"sha256:cb65589a34d5c90726dcf8eb69b798e47a682dff6a796cefcceafebe2db064b0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -19}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -1, 6, 9)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:57028bc2bc52632d9f0faf24bad36dd078d3d8e6d66e1818687b1e2305603207","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000210"},{"accepted":{"artifact_digest":"sha256:4e6529a67f364ab9a93d49cc2df1fd5c2e4d1e442ae61f5db3ec5b53ab050e90","candidate_id":"sha256:1c4b84d4360159dd2dbe31f7a2ccf426970c56fdb20b2891876ea2ebb09f7409","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":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (8, -1, 6, -1)\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":"sha256:8264320bc70e12dab02435a5610dda340f53923314de4e10d3dbf3ade83d9116"},"incumbent_state_id":"sha256:185d6ee74b0635fcbe5f8e404b38cc11db3f59efa832e0e1db5eada220729297","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -19}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -1, 6, -1)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c9f67a19972008d20edec76a5ac35c6644e7a29f3c5e58c1e6fcc19e463b0b59","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000210"},{"accepted":{"artifact_digest":"sha256:bbbb0a76277230afe8ec57249c257a70cc7758dc81913b2964d2e97bb46b3f36","candidate_id":"sha256:202b0d9cd84a18690dc28f3f0698ea17c4e3f943d05e617efddede7c90ca3153","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 = (8, -1, -3, -1)\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:bd1e9aebc4f7b2a4be64e9fc26791591eb53767dfb51b09ad80915bb444860d8"},"incumbent_state_id":"sha256:1c4b84d4360159dd2dbe31f7a2ccf426970c56fdb20b2891876ea2ebb09f7409","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -19}, {\"input\": -3, \"output\": -4}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (8, -1, 6, -1)\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_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:61a92d9982d635c801bf627a88b285b1c15b5bb2d5578b9dea60949ccd1c975b","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000210"}],"task_id":"vlr-formal-v2-0000210","trajectory_id":"vlr-formal-v2-0000210-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:b9a48948f76fbce0344a9bdbc4915f42e7f5a9350e25ff2d59e398d558b3e22f","sample_id":"sha256:9ce11e3f9bbee1e9943837a887d99189fc65ce87d3a8a873c611119caa72db60","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:f5573a816fefbd0b5f5e3e707b6ff92197479b552a82bff0f49cf80268083da0","candidate_id":"sha256:9d0f7b940f9abaecb60c37bd42c5b6b9a7ee7f2915c72bf4e856ed9253125969","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":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -5, 3, -6, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:030c1b441e20cc5bcf0f56840a5c00125ff7302af549b031950c69daca9ecd78"},"incumbent_state_id":"sha256:ac05d4b549e8d9cc91429ffcb86a676aaae1212716fad99e0dc4206c24a3ea8f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -5, -5, -6, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:14d03eff07611b9155fbeeeefeef9e5fa9490acbdf7210b5e6dd80eff53abff3","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000212"},{"accepted":{"artifact_digest":"sha256:9b57eb0cecd9a26d7b12bcf1c8f72f3c50796d2c32471bb3757d42d7fb54dcd3","candidate_id":"sha256:48860733addbf37264542323293d8b3d1072935846a17392b4c78d58e8473367","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, 3, 3, -6, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:19d95ecaeeeb758d215a2096f936c42c3c45dcc6add606dcc4c568d6d886e729"},"incumbent_state_id":"sha256:9d0f7b940f9abaecb60c37bd42c5b6b9a7ee7f2915c72bf4e856ed9253125969","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -5, 3, -6, -3)\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_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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fb90584950809b048bc6875bbaaa7053b7d02115b3c47ee9aa17e79c1558f625","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000212"},{"accepted":{"artifact_digest":"sha256:33f535f2c90c9ec1760008a742400587e0481f600cb7f309cc28e0bf55cacbb7","candidate_id":"sha256:a420c79f1836f4db582c0ad45476dce9631423124f3fcb519a3d39487a38c1f4","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, 3, 3, -4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ee6952c0587096e426251754f2d14dcf208d052a6242d765b377de765ccb132f"},"incumbent_state_id":"sha256:48860733addbf37264542323293d8b3d1072935846a17392b4c78d58e8473367","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, 3, 3, -6, -3)\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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7431339c83aa22a2cc14d0ab44b4c415904d1a16e80f59c5d8a860622010b7cf","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000212"},{"accepted":{"artifact_digest":"sha256:a0a25f5c326687027043b7ef494f212f6c255f45635a8488156e9c2624e0b492","candidate_id":"sha256:8a6b57751f20a8bdfbca365ca6f0c38f9642e6015d5862cca140123c50e198dc","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 = (-1, 3, 3, -4, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e5f5018a3ea0d0056ee338cf0714d387ef5ff9fa7ae31af558a279ea238d55ed"},"incumbent_state_id":"sha256:a420c79f1836f4db582c0ad45476dce9631423124f3fcb519a3d39487a38c1f4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, 3, 3, -4, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cb52bba9e3391197226da9be2c99419164fb41c17e4f8b43c41be7e7f43c2645","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000212"},{"accepted":{"artifact_digest":"sha256:33b22f6198f9b1cad9bd2fb476a0ec553268911548a45e34b4bee6e84e8b16b2","candidate_id":"sha256:acc7f6b406794cdd6fd5303bc4eab5f1f91f78d685d74b785e7cd3926211446c","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 = (-1, 3, 3, -4, 0)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:275d9ba6c192e9b91339d20f4a09a8a20192557156ad037b906bd035a9f2b5a9"},"incumbent_state_id":"sha256:8a6b57751f20a8bdfbca365ca6f0c38f9642e6015d5862cca140123c50e198dc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, 3, 3, -4, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:837d10fe2ed72978b767dc710c6aac4be6277d91c687424c7e225b1689f22b73","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000212"}],"task_id":"vlr-formal-v2-0000212","trajectory_id":"vlr-formal-v2-0000212-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:826571e5aa84aff3e1493baa5884caf363d3db81008a08da4b51921f48c0a5d5","sample_id":"sha256:ffacfa8e97ca03d32ebccaf0ce463786ec2a8808de6eea4ef0634e44af2c5fce","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:9a64e7f0b1b92a90e367b3ae8ba2d4d27951eeb9ef12785141dc233e1a789061","candidate_id":"sha256:c772f1e5b4a1b84a86651e4a7d75609f92a0d5dd0c71ba5b4c6ea8e9e51fd1b0","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":[1,0,1,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 6, 2, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:9899359e8fa061bb97e640ee1f98e58eac8a205e779bcf6c561c33511626a198"},"incumbent_state_id":"sha256:a180997971ec1eeb996913ec5b018083c9aba93ede8c44fb5d764893690f840e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 6, 2, 4, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=14\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1ea6129f8c2f0e82a00e0781845911fbe7d8f7f5faa38cecda9c41fa8cce8e4a","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000213"},{"accepted":{"artifact_digest":"sha256:0539c549e9099742ed03ccfb92176fb585e6bc5e3b6586f4bd72f2a7a5217acd","candidate_id":"sha256:dbe8ded1f0defcadfc754e6cf68afefdea0779cb5918b705a68e356be10ba82a","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":[1,0,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 6, 5, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1b351be1362d5037e102fb1507e6708914feda294955704b2c1bc9a1bb222af5"},"incumbent_state_id":"sha256:c772f1e5b4a1b84a86651e4a7d75609f92a0d5dd0c71ba5b4c6ea8e9e51fd1b0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 6, 2, 3, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1a06868b97716256318d950042019614373b7d64ee4df5589d018cd5a19a943f","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000213"},{"accepted":{"artifact_digest":"sha256:fda0bb4cc8da49809de821737ea77e4d52ef5c3ce19655d5eb04f440a5281da5","candidate_id":"sha256:405ec4039d798d339baaac2acba04c83e1387cded4e2ced44fe2307d0f79449f","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 6, 5, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:fc55de5992a918ab54392550809a781e7c4fb4e6e4213255e6b5ae701d261f7a"},"incumbent_state_id":"sha256:dbe8ded1f0defcadfc754e6cf68afefdea0779cb5918b705a68e356be10ba82a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 6, 5, 3, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:80878a4ac42efe9bae3ae235f514b2ce190fba72c4bf53deb2e01d3065dccff3","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000213"},{"accepted":{"artifact_digest":"sha256:6d6b65ec9f511741167c5149da1ac30ba7120807de5f8c74d7dee379b706c539","candidate_id":"sha256:9960291121c8690c432a3f5d47173410d3d9c27ecd943c759d77e408adc64c89","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 = (1, 9, 5, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a9bcdae762f0a44767cd2e508022518d88db97a9ba0339cf1c6a31cf70d2d128"},"incumbent_state_id":"sha256:405ec4039d798d339baaac2acba04c83e1387cded4e2ced44fe2307d0f79449f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 6, 5, 3, 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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:429581418d5958ea8da635551bb85119a9b29a113d5c06a3fbf7197d68eabe7a","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000213"},{"accepted":{"artifact_digest":"sha256:e4606d1e94321c5e5568fde2d232f84c3e07509e5a0553231318b06ab650597b","candidate_id":"sha256:acfcc399f3a27207f3760e7bae7750f84ce384cf6ca50167f05ba8e59c5cc102","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 = (1, 9, 5, 3, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f0f66861f9f492c7b335238141d659c4afbe92eb56726bdd5968ac504ee485cc"},"incumbent_state_id":"sha256:9960291121c8690c432a3f5d47173410d3d9c27ecd943c759d77e408adc64c89","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 9, 5, 3, 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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f9a202e8e77f5c385761b3874ad1927deacec89308348d3c61f107fd0bc242c2","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000213"}],"task_id":"vlr-formal-v2-0000213","trajectory_id":"vlr-formal-v2-0000213-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:f7b41378283d20fa150ea487083fce1f85f4daa2d2d435345729141306f3d50a","sample_id":"sha256:c45e2ecbf0fa3a0e0060ecf51419297cf94d647164233efe3e852fe6daa87fd7","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:f825a389f0d3f958f4b44f2d3fe957a48311ee29e3c8ae2d862f032cc2250dd2","candidate_id":"sha256:076cfd10e187f03311d290b95019eca69aa0990cc01fa5d4413f8ba4d83cef02","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 = (12, 2, 3, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c6130b9bc84350241c98324fb92f17f398a8cfc53e9348dc0c4c46e2329f33f9"},"incumbent_state_id":"sha256:d3cb60ba0c9e13930649a613dafa2f273f852cc6c4d79825e5446045a6ec9b01","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 9, 3, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8edbb88dfb63cd398d095b91aee073d122701fb2ef599f06abc6c493e53d003b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000214"},{"accepted":{"artifact_digest":"sha256:a1c95d3b747fa1c0db2e217de6d0d924f61e9cd0f29fa7c3bd2dec1e0051e9a9","candidate_id":"sha256:77c0b45cdf247371fa765ad355fba056074d40890441881f1da21f70850c4203","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 = (12, 2, 13, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9e59c74cb52a70773dd49a6a88a03c69b56bf057f8c935a65a49fd96e73cd74d"},"incumbent_state_id":"sha256:076cfd10e187f03311d290b95019eca69aa0990cc01fa5d4413f8ba4d83cef02","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 2, 3, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:76311bcb1240838f220204418ade83922a777a3aec4c854540f241e67e3a78e7","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000214"},{"accepted":{"artifact_digest":"sha256:9cab97e21699e0c288b302cd11dfd53aab0837a4d9e1a74759803124febd35df","candidate_id":"sha256:de6da4325fc09dec5d9783fef6ae4c93d0f7f2a374bb81d29b6dbd9cf2ea89b4","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 = (11, 2, 13, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:7b0bd82824f41adbc0674a0c50fadc22ed456cbfa3e4685cca8b895bac9bd1f5"},"incumbent_state_id":"sha256:77c0b45cdf247371fa765ad355fba056074d40890441881f1da21f70850c4203","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 2, 13, 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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2e8bedde91f4840cd5fba452fe495eb3c2937b676e414c6cc64cdbbeb0c30abd","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000214"},{"accepted":{"artifact_digest":"sha256:fbb35e623be5ef98a146053b12d23f3a4c7f8b2e7af7d14d0a9b7fa511f01615","candidate_id":"sha256:098318b6039ca4b22639345d739f061ec20037435b1284151804641dd5c96072","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, 2, 13, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:273b651cfdc207aa4c0987ebb9664b68f988f058a5bc079954067cb82483f70d"},"incumbent_state_id":"sha256:de6da4325fc09dec5d9783fef6ae4c93d0f7f2a374bb81d29b6dbd9cf2ea89b4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 2, 13, 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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0842fb817c352a06f6f08323783e4867e81dbd7f9a1723a6e7e9b791e757b9c4","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000214"}],"task_id":"vlr-formal-v2-0000214","trajectory_id":"vlr-formal-v2-0000214-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:d65c295c186772440a3e951145f8f8cf10973407fe034d3c89a3c605086dd0ea","sample_id":"sha256:eb537243a204da496f9d7d7b41262b8708eb71fa5c1135101d9efc9fafa7e62b","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:854967e75d7b378a073f45a894499c3f0f610a4077c646416b483d50fa6c3325","candidate_id":"sha256:3b09db29faa42209ac22d989cb325125c3c94c9d13b09da0a3c76bd83d0364aa","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, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:93f9ce1211bbcac7a5d99fbf6e72b4b0d4321f87e31d306e73bcb89a3926898a"},"incumbent_state_id":"sha256:fa9cc090fd55322193be8b497d71b83d5d44bb2aaaf99efa2531daf9de72135f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 2, 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_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:62fb9adc056f4a85b61d714b7c0a601efaf9d37fdf041456262f3e5ea841f591","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000215"},{"accepted":{"artifact_digest":"sha256:c4d21fa4d248a239483127be2e81cbafac28c0b8f24c4ae6bebc4a35ac10cf70","candidate_id":"sha256:12a78277cd8312e620b5a8b6672060ca3898f7650ab3d6bbb9c7be292bf655d6","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, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:87647175be2a4f7023807daa72f8ca247eeb3c5428fd87bd4458d3b25930b801"},"incumbent_state_id":"sha256:3b09db29faa42209ac22d989cb325125c3c94c9d13b09da0a3c76bd83d0364aa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 2, 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_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:aa3f4ac070aa4a1ce78af290e77f69700639abcfb5bde402fbd063985723bcf0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000215"},{"accepted":{"artifact_digest":"sha256:55c7a351883516016161fa769edb8416bcec53bc33aeb0d966a611c95067d085","candidate_id":"sha256:bd2163f2ad3a22f847278baa136b0823989479ca334480e3b40c8e8933fe1ae0","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, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c0b9df6c6b24ad580777b1d601fd26462d8a3d9e42efeb6625ddf7d6364c4443"},"incumbent_state_id":"sha256:12a78277cd8312e620b5a8b6672060ca3898f7650ab3d6bbb9c7be292bf655d6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:07dd4f769f1ab5e5ec943d9258848dd764b776de8619537df6cdda12cd5e9538","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000215"}],"task_id":"vlr-formal-v2-0000215","trajectory_id":"vlr-formal-v2-0000215-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:7a3583d291c23676a4fc446720896618e0ede38b430ca76b9fd5ef29bd397b46","sample_id":"sha256:c3c9d8c631eb89fc76e59f61e0e81add7d3a2432fcad74f66ba7ed8e000a55e6","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:92f1577ebf3b68309a2d36b6bd4199f9e2be0039b9e45e545dd8fbab51e75528","candidate_id":"sha256:4e48e98718b0c7028f8501a06abcc8b663313ca0f2f66029ba4719fc36129ec8","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":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-8, -6, 7, -3, 5, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1c1047fceccf246ef56d2d496e0a189fd5b32c62771a06dca2f4a812b1ecb514"},"incumbent_state_id":"sha256:0b530a61b63017895eeabe47f3bb9f39be7f0d197894db2eb7e043d3f22cab58","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 9}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-8, -6, 7, 6, 5, -1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:636f142abc285ad0a4e61852c589f8a95d7922d48df93eb0edeef701857d816a","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000216"},{"accepted":{"artifact_digest":"sha256:f0f536f393ebfe2df3956d94e5e92620cb8056f150145d277583c25f0f249cd1","candidate_id":"sha256:e07cc71f29a2dd20b7cc5e75ea2ef0a5c0c595dfc40e1044e8458e8871ee5f31","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, -6, 7, -3, 5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7666518d2ae07f81fd320d7edc040a111380e3e648c10844abe8d5e573e73f6b"},"incumbent_state_id":"sha256:4e48e98718b0c7028f8501a06abcc8b663313ca0f2f66029ba4719fc36129ec8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": 4, \"output\": 9}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-8, -6, 7, -3, 5, -1)\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_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f5e7c3e83ce7c0553019a82d7db27bdbf4b779ef26a37c44b3119782ae89e019","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000216"}],"task_id":"vlr-formal-v2-0000216","trajectory_id":"vlr-formal-v2-0000216-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:429a68c45a862ec3ece4ac24086f2e631d1b6be32afb3d12eb36e8ea837d6901","sample_id":"sha256:318236081873db1848907bef37967feea08b0de46a13085c9ebc90dec044d18f","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b717a5cfbe69bbc384ca957aec8cfb165897f6317c862ca1dca97f52f0f3fa9e","candidate_id":"sha256:862a490a89125e4e780fe83a0e2824676ae67832cb7c7742e220d3a9e3a5ee1b","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 = (8, -7, -6, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0927ab74f9ed67e3c061707edab3a60d3245eb4cbb6ef601cdeaed5fa178a4f9"},"incumbent_state_id":"sha256:22bc8776f545e86c7a3b92820958fcf320b3f1d35dc823ac5cc9f069c70909df","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, 7, -6, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:17f0ed9f26c971cc890dc099b9989c01922ec0afe62d95af2ed8ffa142d38639","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000217"},{"accepted":{"artifact_digest":"sha256:e73d63eb49d40566bb092d9fb4134c9dc2ea4e85e421f283afc5494f2c3357b2","candidate_id":"sha256:751f94e44f14d7108a1b6508d7ea7b91dd1bdbe71a732407033261c846c1f90c","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (8, -7, -7, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:98121eda105bc6c0c1f7dee8f5823d449b232481bcffc65be7f280435503f812"},"incumbent_state_id":"sha256:862a490a89125e4e780fe83a0e2824676ae67832cb7c7742e220d3a9e3a5ee1b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, -7, -6, 1, 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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:517db98f0567d3a0e81976df3b5dd697e25d8556b3a568045b5f61a7e1de7b2b","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000217"},{"accepted":{"artifact_digest":"sha256:dac4b8a7a1f12e0788e32c135e4929a3a4ae33bec1f8b534175b58dba276bdee","candidate_id":"sha256:6cc68b1e44d52b2991991fd10d9f18ae7215296987bb7f3c4644583d8ed500f4","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 = (-1, -7, -7, 1, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:3343b4315de5acb81d1eef437bd019f3b1dfbc2409b24b59a2419d1e14b397b2"},"incumbent_state_id":"sha256:751f94e44f14d7108a1b6508d7ea7b91dd1bdbe71a732407033261c846c1f90c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -5}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, -7, -7, 1, 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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a91db1bf29750c03e1d506faac35660f9aeff462d4e9f2bab86525f854ccfb65","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000217"}],"task_id":"vlr-formal-v2-0000217","trajectory_id":"vlr-formal-v2-0000217-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:362a6a07394cb0eb0f14fd28298604e8b98dd469398fd25ee5e7023563cd8e4e","sample_id":"sha256:7d0c0404c59c8d092bf1830b29bd18a82f5ac88f92393207ebe25498b84c9e77","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:d66c940c110e875c5e7322cf49a5eedab734e024832573af2fa8c08753c3649e","candidate_id":"sha256:2e80738323ca9ec46192a73b4df0142e50c2af4f0d8319cd7e7e08e04fbac4cb","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 = (-6, -6, 3, 3)\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":"sha256:5744e84dd9d8b3c7369d1d0e4a6ac931abfa3726b617619df1ba2ac036efc9ff"},"incumbent_state_id":"sha256:492e801c4c83decf1665e3d9334da3590f0e3db58b6fa38954e2b71f5c16bd0d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -33}, {\"input\": -3, \"output\": -9}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, 7, 3, 3)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:99dbce1493956ed33a883c2ea9bec0313e3e7a970d0797803eaff26885d0fdd4","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000220"},{"accepted":{"artifact_digest":"sha256:dd40093a754723d6c3b85b0185a3a15c6216d57f5ec2a1b5a8d2896fe172dcb6","candidate_id":"sha256:467960f4e09ccc3fc4c52658eac8cef71e53871f607d931e271b3f0fb798f16e","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 = (-6, -6, 3, -4)\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:fb954bf5f02e958e35dd7c68edc787b9db4e5845b92803512d3ff0d078485f99"},"incumbent_state_id":"sha256:2e80738323ca9ec46192a73b4df0142e50c2af4f0d8319cd7e7e08e04fbac4cb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -33}, {\"input\": -3, \"output\": -9}, {\"input\": 3, \"output\": 6}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, -6, 3, 3)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f5a8295614781aab5dd0b11966b75caed279764e51c038ab4f545ded763b8019","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000220"}],"task_id":"vlr-formal-v2-0000220","trajectory_id":"vlr-formal-v2-0000220-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:dffc31611fff7c3eb4563d1ce84d35c4d7b6eee0989a5a1f59e5b0374a7c15e0","sample_id":"sha256:a2a8627af756d87bc210caecbf425ebfb137659c876d1dcc2bad3ccaf881c7d4","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:7ad128284345c650e0bbbd7dc2bd4ce8376de4d21f049d48447ebd81da51ea06","candidate_id":"sha256:4d50278b03ac032086b87305df0922a8a8adc8fc65fcbbabe3890073e486295d","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, -5, 1, -7, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:56d460e95e54defd3424c38c9f73f6d2c82c0d5b916fb8531bef78f962f81256"},"incumbent_state_id":"sha256:125d04cf56dd4200cc817ae9892dfe667380bdf28020bb844fb420b6317cb955","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -5, 1, -7, 2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:87c9b4185f2af4d96918067f74bdeb0a07cb69369dc62a09f13e1e47493965dc","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000221"},{"accepted":{"artifact_digest":"sha256:c242a003e144b4bfee26a496319273b860b3c465d7d3011fe3b2913539971994","candidate_id":"sha256:d66f8a6216c039101759ea61e00a995c274a206cf3bdd4b2429f5297eb4d3521","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, -5, 1, 9, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a81e72d5133298e9078700b0da869cdce82e3ef5852b3048bc71d346d49994fe"},"incumbent_state_id":"sha256:4d50278b03ac032086b87305df0922a8a8adc8fc65fcbbabe3890073e486295d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -5, 1, -7, 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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6752912cc2c67e5071f7e044bba6efbe8287962cf19bf63c9087e94e65390c03","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000221"},{"accepted":{"artifact_digest":"sha256:79e5fc4bfd52e8939f9be84c118463d4607021d86a3446ac7e953305585202f9","candidate_id":"sha256:36350f9b168766c10bc3e7b2d3fe5ab82396b6875c6e66713633bb38cafd2d8b","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, 4, 1, 9, 3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b15ead410c9c40ce9fd7544e035db3c5fe3c9a49f3df11a66f903302d8a9d5bc"},"incumbent_state_id":"sha256:d66f8a6216c039101759ea61e00a995c274a206cf3bdd4b2429f5297eb4d3521","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, -5, 1, 9, 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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7111f85f99ec97f665035368a896a800b7a099c052ea3e0771eb6a0bc1e4c231","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000221"}],"task_id":"vlr-formal-v2-0000221","trajectory_id":"vlr-formal-v2-0000221-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:ccbcf289985fd0eb2df92b74357f54c9f8427bc60f93812d198853c26ee11858","sample_id":"sha256:c8ecf711d2eb678b1583c5fb44f9e66904c6aa5d2bdeca9a5698ca80a465c708","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4da440a1a5ee0b66e571b35148151aca38a96f13379a643690f73bc60d2e9302","candidate_id":"sha256:74615833b81d1419dec423ebfd22c97ca06695d8d4d9a5b06cfdc6f598e3aac4","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, -1, -4, 1, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:99d177421fd7ac04c7178378ab0093256f3ac283039faf944139a381e6963c3c"},"incumbent_state_id":"sha256:2be5a48eaaf6b907e2aeec87edfc38671a4a34f76b4ac62ff4b38e2a89625eaf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, -1, -4, 1, 6)\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_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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fad667511cedba047d8c4efb1f2bdf3ac9c58c44680355a709212232f0f94ff3","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000222"},{"accepted":{"artifact_digest":"sha256:cbee67e1822951935f173f9b57b9278cf76a0425cc0511b45d6dda82d0a165e9","candidate_id":"sha256:66b796b4387091ecb27909a657d47c7cda025f0cb88dc3bc47e03a9f315479d9","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-6, -1, -4, 4, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4a527e5232235f7fd2617d2329eb5c57527d9e07064089bec057e84bcd1657bb"},"incumbent_state_id":"sha256:74615833b81d1419dec423ebfd22c97ca06695d8d4d9a5b06cfdc6f598e3aac4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -1, -4, 1, 6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:eeea530692c6959cd30265443b862e8273a5140f2b242344702fdd6c63c203b0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000222"},{"accepted":{"artifact_digest":"sha256:cb96cf33762854fbb39d334fb2488043896a3b88e82360ec98b2fe3a5c210407","candidate_id":"sha256:b31127effd85019aacf088b20697b142050ecd191cfafff4f06168869f1d646e","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, -1, -4, 4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:53528560df927c9a7d7bbee0123c7fd1de9e16d9bf60de1cbf445f2f218683ad"},"incumbent_state_id":"sha256:66b796b4387091ecb27909a657d47c7cda025f0cb88dc3bc47e03a9f315479d9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -1, -4, 4, 6)\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_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:05e92a43054f4cd32d095cd1a3b10910da9423de8ea508ec3eb16cf06199535d","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000222"},{"accepted":{"artifact_digest":"sha256:5d9fcee3dc495aec3651e9f74ca16a469e0e20bf6e6437e76d7068b5a9398405","candidate_id":"sha256:a05f881ff798e6dde79690ed341c4fab96a0a26812f64665a4e9acd3e16d492f","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, 7, -4, 4, 7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:02313b4f05b49e5e51f2d366fbae9a34b3d8d695807702c4587503e76ea9a6ea"},"incumbent_state_id":"sha256:b31127effd85019aacf088b20697b142050ecd191cfafff4f06168869f1d646e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -1, -4, 4, 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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8f76e8106369d99250cbf08f16246bca8a402bcbaf717a803d384d3c3849d482","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000222"}],"task_id":"vlr-formal-v2-0000222","trajectory_id":"vlr-formal-v2-0000222-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:e2fd46e741ace03d1239670d153c1b5bc096e7d23ef114839228c0b735bca670","sample_id":"sha256:ec1b7b7c02ddda275e82d4552ae00766d416763f475c017fbb2d52e8d093a2b9","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:08c35461f8f815861edcf45046890a0092981a07b7a5b73e125889b560fb8ef3","candidate_id":"sha256:12fcbe9a498979f9749c2eb5d3bb32b8ceb80c74a2c4e2cfae5bc73de4480e12","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":[1,0,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 8, 4, 2, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:759af625a3cd4f3e88e030d9adabe059415df8900a1ac269fdd3c14004173366"},"incumbent_state_id":"sha256:38d3a26a7daec9dd7ce7cdd52cb9573d36f3c53752a47035fd853bd9576d567e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 9, 4, 2, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5f401617fceb1f85e1965150e95576d873f22060a14615f3ec0e892d75d3762e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000223"},{"accepted":{"artifact_digest":"sha256:9d3b578ac7652b63a64b523b4fe9aae403e7f52c7382ba6ae0eef860cc1f1c49","candidate_id":"sha256:886e312a072a3a9771df6860ae0b7aa21002afdb3222c5687fc7a7b90fbb5701","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":[1,0,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 8, 7, 2, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:18ac10434cbe5b7281c0e07b22ebab7da348deb84eb581e248ee889cdb12df59"},"incumbent_state_id":"sha256:12fcbe9a498979f9749c2eb5d3bb32b8ceb80c74a2c4e2cfae5bc73de4480e12","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 8, 4, 2, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:47dba9e673ed48bacaf60b3241b4343179e551c37f596d7b90cd580e64368677","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000223"},{"accepted":{"artifact_digest":"sha256:36203fdc2ce761cb93c71d5a5e8d4601e633dd38044bd0b945ef33e462c26f58","candidate_id":"sha256:cb771f2afbdc4add6edfd4f5bee3ec114e903fa1308abccc2ca3c3c84fda0312","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":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 8, 7, 3, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:883bce4e653b67110961de1aae12791a4e154a395dc63b8e3c828744297e0257"},"incumbent_state_id":"sha256:886e312a072a3a9771df6860ae0b7aa21002afdb3222c5687fc7a7b90fbb5701","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 8, 7, 2, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:59c289ca2d3c883c29e86f4d6a6a13ff73601f235c5fd00e3bb8908366df2c9e","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000223"},{"accepted":{"artifact_digest":"sha256:92c2e582f10643f45afcb2c3e07524c36832fcb3349b75bacf3419015a6b2466","candidate_id":"sha256:ebce908a7f09a973bdc6ba8df20cfd50ab24a56467cce11f9774c58e86e3531c","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 = (3, 8, 7, 3, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6c150c26abbcb1947dd30ed350a80f9d35f1b21493bbe5b98d35265888346975"},"incumbent_state_id":"sha256:cb771f2afbdc4add6edfd4f5bee3ec114e903fa1308abccc2ca3c3c84fda0312","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 8, 7, 3, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=13\nfailed_count=2\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:738c1bfd86b7146b40d289f61b726fbe6ed8caaf3fe33268cfbb2ed00cda339f","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000223"}],"task_id":"vlr-formal-v2-0000223","trajectory_id":"vlr-formal-v2-0000223-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:4cf4f565f9f404e4d320a7485e2d90c7d207d33f2156dfc27419992ca39193de","sample_id":"sha256:5afb00dae054e70e20852fe14ff836fb1460e49a5bdb1471347726e4cfdb4a15","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:734293a26c159a6c00048dd0c48d30573b08b6656bd0f3faeea4696a3a384b08","candidate_id":"sha256:a6a95cdd9b3c5130f7c63c5454d04952b66e889721de785ec72781c8556d8754","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":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 1, 3, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4fd56625395f7ca3e6ab43105ce1d3ce89ad796518c0a0b2f626846832dfc839"},"incumbent_state_id":"sha256:e82dae5f2ad7f703d3eb965d359461b0f93df4c8ca0b5618af951a13442e39dd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 1, 3, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:af6db5af5c0ff726768b6761f47df0f6b8781ecf0499fd5b5df3c72533ac9260","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000225"},{"accepted":{"artifact_digest":"sha256:0f3317d4e343089cba24bd015ce061734641018c9156006085b77a345cbcb937","candidate_id":"sha256:74c36255571fe4b4431d880e0eaf36c8b87574eca501ad8a37e0814014751f77","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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 1, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:44674cfc841b1c464aede54b9c7a0ee2d7f47b45d398170f10ae86bb940f81e9"},"incumbent_state_id":"sha256:a6a95cdd9b3c5130f7c63c5454d04952b66e889721de785ec72781c8556d8754","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 1, 3, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b82b1e7eeca14bb97ebb1a4b308787a8370f1f40a21529d17b0b31229cc245fb","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000225"},{"accepted":{"artifact_digest":"sha256:9d455a53403c97790e9b0668d106f9fd9c1783159128f5855870da5155460c79","candidate_id":"sha256:ed1db736ca6e5bb4c98c9e5391a675037b6221da3d6db1212e10351bde9730b5","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 5, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:26069f50ba15b013754cc11739f05277a3f37e89651a7d0325fb48dc8e232533"},"incumbent_state_id":"sha256:74c36255571fe4b4431d880e0eaf36c8b87574eca501ad8a37e0814014751f77","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 1, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f7285202d2799694a51a626323acf647de5f30fc25d101b189f5a6730d6ab6af","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000225"},{"accepted":{"artifact_digest":"sha256:beb353b45382f96b9aabb6a66a7fc89280268e4bced9c78f8b559cb9f3272e9d","candidate_id":"sha256:c6e8737147f4d4d9b0dc99919f1c47baa3c4cdbe86530ca6bbbed77c9f5e793b","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 = (6, 5, 4, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dc234921ecf099ae86e28e5e5681039ca7ed8be1119b3601b0872e90d9bb06d4"},"incumbent_state_id":"sha256:ed1db736ca6e5bb4c98c9e5391a675037b6221da3d6db1212e10351bde9730b5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 5, 4, 2)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1ce290c9f6f1722f97475721cc18803dd460ee43a4a9b566c0ace65325a87f99","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000225"}],"task_id":"vlr-formal-v2-0000225","trajectory_id":"vlr-formal-v2-0000225-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:8d19031664b80c9f187b5cfce6ab6ff45ca1a440cb8718a717e7854952647697","sample_id":"sha256:1b118b23afa588592d8769e07be5a3d2446954541e5ac72ee9380d11cee0e61e","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:bb9b2b8a2d1e2b334f06e02742890cc4a8e849dd24a4cfe882a907a9a6614a80","candidate_id":"sha256:bd75ff16860c1d80f45de49429387af6393cd4b354d0521a1b964c484b4cf6cf","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 = (3, -4, 8, -3, -5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1cac81dd9225254fd6f66c67368d333a10d274ad52d9d346a112673d86451803"},"incumbent_state_id":"sha256:85288038214e4619a54e43e89c837aed33610bd777469f9962d882e576171fd9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, 8, -3, -3, 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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8f1ba74ecfc3e2f4a2830673d7c23613bcb4b6a73cddf731fca57c038d5c924c","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000226"},{"accepted":{"artifact_digest":"sha256:6a49599f1ffe638a113c4e0610ea21b032660a8dd71bfad08f15016a02644a43","candidate_id":"sha256:19d5c271490d580119c22fb1aa8fdcc25fdcd3664a5c214a8d3d210d91030f04","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 = (3, -4, 8, 4, -5, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:23e2d0b19a02b6c1dcafe18b028f3ce65455f9fa2157c36812d1561cd5471001"},"incumbent_state_id":"sha256:bd75ff16860c1d80f45de49429387af6393cd4b354d0521a1b964c484b4cf6cf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -3}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -4, 8, -3, -5, 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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:770c487e22027711a9b7d7b9267257d5c9fe5467e71076f2dced5a670daafdf0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000226"}],"task_id":"vlr-formal-v2-0000226","trajectory_id":"vlr-formal-v2-0000226-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:f8276038b344302e7d9dd95ca0a5937e28b78aa44668d0405c0de69e7c0774ce","sample_id":"sha256:05ddb94bab03e6513cd41406dceb03d13aa7bff69646fdf711d0900d57fb38ce","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:86b54b1f593a5673dad5f95951764a81968f49ab7bcbb228e7eb77a52c3ce959","candidate_id":"sha256:16951abdb516f177d3e3141005c5a16b760cb84217e46035ed146f344f5ccfd6","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-1, 4, 2, -2, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8fc4905ec0a653a4b9cc5fbea64f42e578344df7e7be62b3cdb1ef1f19439f86"},"incumbent_state_id":"sha256:0df22e9207ad130c5f9d849bf66d7cf5c5ae8627fd92c52a8b2b7a0d768462da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 10}, {\"input\": 4, \"output\": 6}, {\"input\": 6, \"output\": 4}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (5, 4, 2, -2, -5)\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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:aa9b9b93cda5d3f374df03e13a9338a9f870a59bdf5dd7521b3c749773e9c113","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000227"},{"accepted":{"artifact_digest":"sha256:b0b43c1a72f818cdc900c256391645284c55eb2bbe5d6fd6879243f4757720bb","candidate_id":"sha256:4573c8efa608700be5a135d0193a693b5ed9da493f6a45f63aef66fa0aaf86e6","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 = (-1, 8, 2, -2, -5)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:e046cb27eb5b5583775abaff26c5af6c3281d72d4853efea03985905b40b5f81"},"incumbent_state_id":"sha256:16951abdb516f177d3e3141005c5a16b760cb84217e46035ed146f344f5ccfd6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 10}, {\"input\": 4, \"output\": 6}, {\"input\": 6, \"output\": 4}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-1, 4, 2, -2, -5)\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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:93ee6e07e48dec9f7d901890b6aca7343f161bac7700372b64c6321e731e5b5d","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000227"}],"task_id":"vlr-formal-v2-0000227","trajectory_id":"vlr-formal-v2-0000227-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:7bb7406640fee84d6d4992b598f2bd1e8101bceff73c1c397ccc0ca7f32b3451","sample_id":"sha256:bfa5f79b19892b16c8ae538a2ac4adfc952bba65736cd3f6f422c6993356d921","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:07ada8a74c4cbac2a14c18bbc42c1bbe4b7a03d27ae16d4d004074009d3f2def","candidate_id":"sha256:95bcb042891a82666596bd51640318ab657a60a06465c1665509b149eaa5e1f8","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    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-8)\n    return x + (5)\n","verification_digest":"sha256:fc0cbf3c66d7dce7ec97bf23d6f27685ee15bc67bdfbcfcfbe1f1e1d3ccd3ee2"},"incumbent_state_id":"sha256:4d51362c1a3d40b972c48f1c079453521d40582ef9aa515925b2134351216ffe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -20}, {\"input\": -3, \"output\": 0}, {\"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 + (-4)\n    if x < 6: return x + (-8)\n    return x + (5)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:931a807f1254d8a08fa4d6e56c649d1de13d4bb016853b9bee5a4037a5b0d511","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000230"},{"accepted":{"artifact_digest":"sha256:af6b3ade0631154a8dfecee807cb71e255d2ce7b89b5b9970ae2d1f0e8d693ec","candidate_id":"sha256:a4be1ad3de44ef52de1ebfcf6c8cd65d21908a528121f28ebc1df669854970e7","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":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-8)\n    return x + (-9)\n","verification_digest":"sha256:6e1e9c72504a7ea0c2882e5ce15847f5b83a1eaaaed020754c4212c2eb852e89"},"incumbent_state_id":"sha256:95bcb042891a82666596bd51640318ab657a60a06465c1665509b149eaa5e1f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -20}, {\"input\": -3, \"output\": 0}, {\"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 + (3)\n    if x < 6: return x + (-8)\n    return x + (5)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:488958bba0e6efe0d9bd774593d61cc1ca83824c36f302052dd389a3330f45bd","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000230"},{"accepted":{"artifact_digest":"sha256:3e1c5a9b2602c6716b5a299b819093554c4e49e750049baa1e9e106f288925a7","candidate_id":"sha256:4bd3af33f0105478a9f54e78d07a5914fbe50081334974c93a528fd38202991b","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-2)\n    return x + (-9)\n","verification_digest":"sha256:adc1b7471ce8d255253c2015d65919ed567111d4e71784f20d625c03863ff5d5"},"incumbent_state_id":"sha256:a4be1ad3de44ef52de1ebfcf6c8cd65d21908a528121f28ebc1df669854970e7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -20}, {\"input\": -3, \"output\": 0}, {\"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 + (3)\n    if x < 6: return x + (-8)\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_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:85f42a5b0aa1f67293989d289accab72b1165c96a6c491a9573dc6db733a5409","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000230"},{"accepted":{"artifact_digest":"sha256:3d1cafaa424af07a3eac0ba0c273cb0be2f3cb2f551562384b903b70999fd28f","candidate_id":"sha256:b4d23a61ed59a74e26f3d8c2f07a272d23ea9aae729ba15ca9f0e2c2e1c84e75","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 + (7)\n    if x < 0: return x + (3)\n    if x < 6: return x + (-2)\n    return x + (-9)\n","verification_digest":"sha256:0e0635ac37ae150b61e81b641a87276e5f466a457e05a6d2eea2f7152bed6df2"},"incumbent_state_id":"sha256:4bd3af33f0105478a9f54e78d07a5914fbe50081334974c93a528fd38202991b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -20}, {\"input\": -3, \"output\": 0}, {\"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 + (3)\n    if x < 6: return x + (-2)\n    return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8e263301b30e1e01c2bd537d3be1912ac46832e740686c345bc4e39157e86af7","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000230"}],"task_id":"vlr-formal-v2-0000230","trajectory_id":"vlr-formal-v2-0000230-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:ed3cac91ed4e0a5c96f065aaae47c549ee3f46970842882451764e77222f5d2f","sample_id":"sha256:e4b03364ffdf199d93e0445ba7cbb32b9c0edd5e9652875b9e56920ab2025f72","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:2bcfe0a2b2450b53f762a2152caa65cca89f55863309d336bca61525a4c6c2d1","candidate_id":"sha256:45bd81edc3509bbf95542e55b964c8c2812fd17117215e7b85a8b470f719080a","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, -1, -2, -3, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4c83ae47420e4d30024911814c0227456a5afc30f74024a52e91a894537caa70"},"incumbent_state_id":"sha256:3e81339d48c6357cac0d5e59e4385c88b080b3186ceac5efa62b374bd083fea0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, -1, -2, -3, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2001a0661294f4f65c403359e40cb91ba7ffd97a094f267bdbd9163b171e8889","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000231"},{"accepted":{"artifact_digest":"sha256:e0f76a98da085fe35f9d8fd8762a41457bc71f5789f50e0515c7bb7dc6510c65","candidate_id":"sha256:9121696c96ed0474a627830c369e09bfef46eb2d7ff6fa13112160d00868d099","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, -1, 8, -3, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a4b4c7f81f9f675c5a6f3e2309bcda0d52b9709f316502c1a3171ce03a4a5afe"},"incumbent_state_id":"sha256:45bd81edc3509bbf95542e55b964c8c2812fd17117215e7b85a8b470f719080a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -1, -2, -3, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4104ac4609f7b51217cbf347a56c400882ffe0d58dfb1d160c685fd971dd1859","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000231"},{"accepted":{"artifact_digest":"sha256:973fcb064a1d0fb38ca5e60fcf2cdc7caff18bb61a1a3890b6aa8ab179b3e91e","candidate_id":"sha256:3cbe3d245fec01d335e9f9c58e776fe92ad3001eae5642305dfe1cb72b2bce23","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, -8, 8, -3, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:9ce0ec2fa99dbc9d857edaed8394c55b689cb1e54b1f714058fb941184389c67"},"incumbent_state_id":"sha256:9121696c96ed0474a627830c369e09bfef46eb2d7ff6fa13112160d00868d099","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -1, 8, -3, -3)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1aea2b6f837b724a54f0dc8d8926030ee4ce37cc196f85e9b07bf6c75a3dbc90","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000231"},{"accepted":{"artifact_digest":"sha256:e4cca6a5d624d6db50d3e15f6efd45c60d13581ba5716168efa580661fb86546","candidate_id":"sha256:88c67cda66c29490bbbec587c79fbd9517b295772b094ccff7ce200dadae7d3f","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, -8, 8, 1, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b9852bcd694dcb52b015c04e0d91b2c52a59b9872ade205ce9baae09e5f4b4cd"},"incumbent_state_id":"sha256:3cbe3d245fec01d335e9f9c58e776fe92ad3001eae5642305dfe1cb72b2bce23","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -8, 8, -3, -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_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:263194454a12f3b69f61df95478a62748be1a126d478492d329827445e99eb2c","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000231"},{"accepted":{"artifact_digest":"sha256:f0a39530c42cf81114138b70b04b6ea522f9c115cb91627ffe5dd9a7ef04de40","candidate_id":"sha256:0f46ddf635d969e2427c8d5e01c0ccabd2a74e733e125b6da8319b8a272e7cf7","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, -8, 8, 1, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:ff3c370b78dbc89bce6460aad41b740d62ed3e20901bd6b11ea05c145bd51eba"},"incumbent_state_id":"sha256:88c67cda66c29490bbbec587c79fbd9517b295772b094ccff7ce200dadae7d3f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 4}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -8, 8, 1, -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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a70fae9c0088bf16a86c0c121b91095e25a84cbc6b48a24d5f5ccd8bdfaae288","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000231"}],"task_id":"vlr-formal-v2-0000231","trajectory_id":"vlr-formal-v2-0000231-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:4839c0d810a201eba7b1d81efd154ab10f12c3a78096e69faa40ced4f2d09958","sample_id":"sha256:85c84b6ffd3f0ca08b6d7eeb591640ea1792a04535b754a24ff6e974c9b87c6d","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c45fa953b81f20cae1ac605101b3381a4ecb10b0d3f72f10a01bc3c1754da34a","candidate_id":"sha256:ef1a034d6c722b26bf69c5c91a3c5b51ab1742a9b4eeeb4eb44b99bb46d4a654","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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (5, -6, 5, -7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:7a6ea23d9c045939608278e3a62c3241da38fb7e639025ec6e96bb209bb3abc0"},"incumbent_state_id":"sha256:901a7e58e00503fd0861150cf416be16af756f4021b2e378a4a1a97f3307bdaa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (5, -6, 5, 6, 2)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8e5298ca86826bc8e25645bb951290fba803dd04480380689410c2bf5b2f063b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000232"},{"accepted":{"artifact_digest":"sha256:e6471f2aac3eecec35cf108f45e0ce89dd05aa03ece6f011d97c8215713274fb","candidate_id":"sha256:2f22075a6cb15e8c59f6548af79d076e97cbd153f4212d0313ee61a9f26a2c95","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, -6, 5, -7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a2a163af0ac277059b32d18cff9b6c5ac8ecd868e1c27a02ef60a7e26221be54"},"incumbent_state_id":"sha256:ef1a034d6c722b26bf69c5c91a3c5b51ab1742a9b4eeeb4eb44b99bb46d4a654","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (5, -6, 5, -7, 2)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:848bf44bf13faede3836ae5c5a9771b4500e4a8127fe278af243829c3b4de5e6","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000232"},{"accepted":{"artifact_digest":"sha256:1b036fcb59324459bad924d4cd7615b266d7e52b03d13b9ceabd72d157263720","candidate_id":"sha256:7e6a856dc7faad6e8ef85e2c0ace3379f8118067d33083bbcf9ff3559e56aae9","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 = (-5, -6, 2, -7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:4e44bb5c71d24468c17acf2d152d05c32ca3376a09fcae728c1d99e42bc669fe"},"incumbent_state_id":"sha256:2f22075a6cb15e8c59f6548af79d076e97cbd153f4212d0313ee61a9f26a2c95","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, -6, 5, -7, 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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b083c4aef1506d1484c3f8197d44095c6ec98e5010c576296c8dd0ac2a96f25b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000232"},{"accepted":{"artifact_digest":"sha256:f706bb2a022e914a435f424eff317eb5f5571828e8b68422c3420962047ca252","candidate_id":"sha256:725f45ef93d8ebb3ca435014ad090bfbfe322d35a6333e0ae192fb4c9e9f728f","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, -1, 2, -7, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:01fdb73259cdae5c52ae32a69962e91c459671fa6d5160c97f8074cd30d48bcb"},"incumbent_state_id":"sha256:7e6a856dc7faad6e8ef85e2c0ace3379f8118067d33083bbcf9ff3559e56aae9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, -6, 2, -7, 2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:31c2c388ffa9cb5ead9adcc7dc7e3fc8d357df190122239e922dcfc0deffc269","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000232"}],"task_id":"vlr-formal-v2-0000232","trajectory_id":"vlr-formal-v2-0000232-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:49711ecedd8b362497f2f09247c80d6d4febc310262e8abc99efcb8221d12365","sample_id":"sha256:d0dc59825b5f9c0b7f593f376478640d1dc293a11ec41c40216fc9db861480c0","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:fb1f337cdbff44478d1ffe9dfc673e24645167e348cb7a520d5f006ecf578f90","candidate_id":"sha256:de1e8c7a6c14dc0cf7db342d7b16d2bc4b030b1a11ac99ea23e2f8dcece657fb","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 4, 8, 9, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7736485565dc3862b1a0cd56df17b7bef4951d5b4416662dcd3e68a1fb48bb25"},"incumbent_state_id":"sha256:3ede3794f0f151a7c3322e9c49d9c5ebcff58f3805542596ac80d459605b9206","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 4, 8, 2, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cb85b2da62ee0f0e7884c161423a9dcaaa244c6f653dca092a47241bd0618f44","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000233"},{"accepted":{"artifact_digest":"sha256:f3404f9f4d37aa75bb92282d019e09d0f8b68c90f280d2fe8ab25dfbd9a11104","candidate_id":"sha256:7cb90cce2e096490616d4a51e9deacad89ce236353c9f29190f383d4b219576b","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 = (2, 2, 8, 9, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:0ffe99314bd6853e24810dce422360c08dd742707c19147aa8b6a1320e8b3d0a"},"incumbent_state_id":"sha256:de1e8c7a6c14dc0cf7db342d7b16d2bc4b030b1a11ac99ea23e2f8dcece657fb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 16}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 4, 8, 9, 4)\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_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:df3927273940465888ab96f6c289d6ad9addc8a9107bc8d928b39a26f17fd4fc","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000233"}],"task_id":"vlr-formal-v2-0000233","trajectory_id":"vlr-formal-v2-0000233-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:2e2a5ae7583d6cfce73f45467e6c7ae1bea34b6d8f69428fe760836f081f83c1","sample_id":"sha256:f39717d22734de4f516f042caaccbdedd36ab50988b37a0aeb270d769a35a770","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:72f1da807bd023f50c9c87c4e796bdf93231ef0a9cca7fd2959147ce0b144630","candidate_id":"sha256:852db747feeae6dfd856ccc10c36d0066d3a633c5e5bc0ba6f3fe32efce955f1","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 = (12, 9, 4, 1)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1723772af0d922b5bfd7afdb0ea0bbdbba2ed9929f7e1f7f58a6397793858929"},"incumbent_state_id":"sha256:80cabb77020616bc28450d11c4334ff1d03c3ff69711c5d9e64638fc1282e77e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (13, 9, 4, 1)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:56d6ddf1ab14859e0eab83e5372554ecb92608df277bcd5dde20f61131d5e960","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000234"},{"accepted":{"artifact_digest":"sha256:0e4251a12922792e717c2a134dcd61273078e4a2515ff19c6fa36e769da4177b","candidate_id":"sha256:8b47e41e1ea98b37b8e18d9a87ccfadd25f5c4ae111261e0fc1796133df69244","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 = (12, 9, 4, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1d2e3e110ced8ad8c63bd4ef3390e978e6df74389f6417334d2c2846eafdabd4"},"incumbent_state_id":"sha256:852db747feeae6dfd856ccc10c36d0066d3a633c5e5bc0ba6f3fe32efce955f1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 9, 4, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1db73be3a0b8ab54c56d27645c9c8d681730d511ba40ebb0aa26f9b44bcb1c90","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000234"},{"accepted":{"artifact_digest":"sha256:d23f22100ed6607003c940a291d3ca999a4aecdc3b3729edbe6b31716e986a29","candidate_id":"sha256:5e1532633e37c31126b0ddd4f574299b8d100b66159e7242ab747b7ccafe01cc","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 = (12, 9, 14, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c4c5714b6e156891f5ae5eb9400379eb045939cf1966fa7a5a73d8fdca336db6"},"incumbent_state_id":"sha256:8b47e41e1ea98b37b8e18d9a87ccfadd25f5c4ae111261e0fc1796133df69244","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 9, 4, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dba13a1198c3c57840012c48b94c3b48b8a08031faecc0a22b994b96a04f378d","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000234"}],"task_id":"vlr-formal-v2-0000234","trajectory_id":"vlr-formal-v2-0000234-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:cbde72ff7dc8c72a22d972df6907da649279792c44e77778529560e4488bf7f4","sample_id":"sha256:8b2d481dbf111ca128070d54c23b9ec272f830c59267ddc30d4e8922585417e9","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:a5a4ed4eb8854c0b269c1bb517410cf224acccb5ffb30efba8f2a1201fee6c08","candidate_id":"sha256:297531a99986847af54066a7cfd7739d37cfa3a7e3ee30dcf744bf2de1679e12","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":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 1, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:b00738c21ecfc573b76c7e08a8aa92a95bfeb6ad946b922b79272a108ac45149"},"incumbent_state_id":"sha256:f87a5b6b25828a0555f6cd3a89933f1aa4c189022102b83eb396ad88e97d6f99","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 1, 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_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cec4cdd0b992e47d238ff6d543b72eb66dba9120ab0565246cecade1f5584e30","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000235"},{"accepted":{"artifact_digest":"sha256:a83cb70701a19cec6688a56ca8b57c4ec976b4e52fb93234ea4a1a6472a3a196","candidate_id":"sha256:497b822d9536dc74c8df15d7a42de408bd624e3d87b7c1e62c3a29dcf9350316","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 1, 6, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ffd6eb478fe33198caaf388fd32802b2a7a9538dcd7ad22d1f75ef644b1e06ed"},"incumbent_state_id":"sha256:297531a99986847af54066a7cfd7739d37cfa3a7e3ee30dcf744bf2de1679e12","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 1, 6, 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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fd8b2000027f7d54e4129bf78fe90e2f3960ad8bba3fc81ae5439bbdea1ea8b0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000235"},{"accepted":{"artifact_digest":"sha256:c28b3fc395d63152342fbde61af752ecb8740e17ede7d0cebb62eadd82b534cd","candidate_id":"sha256:4fea09a4e2f9f7d536276e5d7b610cf46484d38e19bb3cd94eff0b7df83b4559","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 = (3, 1, 6, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:0daa8bd06e902e841be1e5979578b06a2bbaa40316193fda750b46231955f9df"},"incumbent_state_id":"sha256:497b822d9536dc74c8df15d7a42de408bd624e3d87b7c1e62c3a29dcf9350316","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 1, 6, 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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fec09cb53e653dbf2071a852029a83b3f1fecd5a2ce9a64fcfe0fdce1fb59b66","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000235"}],"task_id":"vlr-formal-v2-0000235","trajectory_id":"vlr-formal-v2-0000235-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:b9ae2fb58502e3f3457808ef9e8e83e9cf016559face2ed30f174d4deebc610f","sample_id":"sha256:b9bc01bbea2d44122d773132becb487fb6aea739601a3b5742cf084054af47d2","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:33053798865dbb820f86521bcfd3d358e1aa5ef9151dec43e879aa28b6aec346","candidate_id":"sha256:7e461301064f1ee2ad7fc608f98efc3686dad3d3f1058c09a9130f40531f91cd","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":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, 5, 7, 7, -6, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:bd9e2904987d49424f8b89e113127fd4834d25160f28473b1ba7870faf2ec803"},"incumbent_state_id":"sha256:72f22b0ea72ad8fa21f8248e9b67221a9d7d2895fb8c91c15268928e3273fd92","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, 5, 7, -1, -6, -6)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ebc9303004afc719718a55d9d1d335ea0d26532b95723ff073826a991377adcf","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000236"},{"accepted":{"artifact_digest":"sha256:9355adfc21a7d9a11c914c34d57d836a8595a6d6f6c7e1cc0e796e9f0ef9e4dc","candidate_id":"sha256:838e853af8c8bb46ba8b4b0f83c5d4503561376f30702e4139accdbeddcaea7f","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-5, 5, 7, 7, 8, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:22c6f21577fd54a48a8f2f2e1b1e526d134ca7bf6b98882ea2ba2b115dc3012d"},"incumbent_state_id":"sha256:7e461301064f1ee2ad7fc608f98efc3686dad3d3f1058c09a9130f40531f91cd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, 5, 7, 7, -6, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c059e72f12158382f72b3bacc17f478ddd122db70cbc20ab3f099ad382cba5e8","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000236"},{"accepted":{"artifact_digest":"sha256:0959f959e6a383e36ec76b5aff5e9ba3bf8c083c582c37eee1414b883e2b63e7","candidate_id":"sha256:f674ed2f4e784dc92fcfa40efe52b66ccd002d48f1c5340c803dc2b9f3d028ab","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 = (-5, -5, 7, 7, 8, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:421424ee5e3b7dc389537287c43e155aba1fb6ac128477bd1340a5a7008a231a"},"incumbent_state_id":"sha256:838e853af8c8bb46ba8b4b0f83c5d4503561376f30702e4139accdbeddcaea7f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, 5, 7, 7, 8, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3a8a057358f6d982626a48b0f77f51e531d745bf57f317f536dd33a373cb5419","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000236"},{"accepted":{"artifact_digest":"sha256:76c95ffada8c07e32ae52cf20432abbb37c10f3a2e0eaed9501d1db205024001","candidate_id":"sha256:78f8a14a8eb46321fd8a84815991924ffca6ec2bcce7ff82ffae4418fa47e33a","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 = (-5, -5, 2, 7, 8, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:1ed08254adb5acc9b567d730c6c92be0ae47e938b61bd549ec91122395b9501a"},"incumbent_state_id":"sha256:f674ed2f4e784dc92fcfa40efe52b66ccd002d48f1c5340c803dc2b9f3d028ab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-5, -5, 7, 7, 8, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:31213225a3273bcb7d972556a71d81b43d3f7bf6d060089527bcfc5c1e8ce361","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000236"}],"task_id":"vlr-formal-v2-0000236","trajectory_id":"vlr-formal-v2-0000236-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:24576f7b5466b443e59eca30e21e3b6b1deefdc30ab2784af428d1dc8a46b53e","sample_id":"sha256:582018ccf6168c2e37a6e81dc7dcea563b7cf7b4e41bf68205f0715ade7c9cff","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ef7ca923043c61ec49ab1f44b7d02a95d409c46faeaee45c65d29c31a08728c0","candidate_id":"sha256:41851875b60c4c866fa68349a730dd9b7e8eac255c184ccbec57be24a079f75f","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, 7, -7, -1, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:640d2c46d282c4b53c6aaf00cc0c6f5a212a3443ea970f677d294cba845a4cce"},"incumbent_state_id":"sha256:412ef30a1ca07426460e5f2a4ebd7643210f86e9973f9194a177a6598f034f74","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 9}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -8, -7, -1, 4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:31b5e7bd20bbacf3d39b4b34a9e02e9852e1ab5d646af52bf27096dedbe8a56b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000237"},{"accepted":{"artifact_digest":"sha256:440ec74c3d5360e71bdb4d10b9f08604f07721bf702b6fb9475bb84335533a78","candidate_id":"sha256:513613b666a1b4090e8de3070ac0d67b9b16ba36e551a6d5babf6256cca50f07","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 7, -7, -1, 4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ca9b06d060cfc84049394e09ea0a20cd541a83c3cc59793d1999820617bb7c72"},"incumbent_state_id":"sha256:41851875b60c4c866fa68349a730dd9b7e8eac255c184ccbec57be24a079f75f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 9}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, 7, -7, -1, 4)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:89e5efc9a6429d42fb65307d2de48abc5bab69584048779e1288a793ca3d8147","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000237"},{"accepted":{"artifact_digest":"sha256:83ceafa6b50ee887722b3b3687291b86edb290ebf0b77d161c01d21224c4e3f9","candidate_id":"sha256:bbe6baa4ea395f4252ed1e27fb1a5238de80b8fd56d8c6f8baf23a77b5797d96","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 7, -7, -1, -8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f8b493f29dd0be592f0f864cf628d17e711414d985385f567fefc6944a190653"},"incumbent_state_id":"sha256:513613b666a1b4090e8de3070ac0d67b9b16ba36e551a6d5babf6256cca50f07","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 9}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 7, -7, -1, 4)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:399ce04ebbfab2de1871c6e96ef6420aec16973aead86a68e04a9125136ed2e7","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000237"},{"accepted":{"artifact_digest":"sha256:a91585ec5035a0bf3cb7f58469a1ce2e31c6f58683420d78645b25404e967480","candidate_id":"sha256:c50dda8f497e37a3130153b6b6448b72dc9a6c8aa1bc2aae8cc31f3004be7843","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 = (-5, 7, -7, 2, -8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:27d443f0daa06896b82f7ecc4b3630d1141baadcdf02c939902d6983ceb7b8e3"},"incumbent_state_id":"sha256:bbe6baa4ea395f4252ed1e27fb1a5238de80b8fd56d8c6f8baf23a77b5797d96","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 9}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 7, -7, -1, -8)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:52ef2fd5ee369499166f056c94ec9d91983e76347a6735323b6e51a206a5e73a","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000237"}],"task_id":"vlr-formal-v2-0000237","trajectory_id":"vlr-formal-v2-0000237-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:968f0d936ac958b0d8364f466ef6404fa6dc7e352b99030c6805fc564040a63f","sample_id":"sha256:898a9e7c05f4376bd8385326283c764351978617391e905e2bc7b673f675af8e","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:311286ce1194eb10f728bb3d46f3d63f81a4bc9d1c7ffa720a2c1ea14e5bebc7","candidate_id":"sha256:f9c64e81e76873c63209f3c70efbdfa9722c3daa23dd5ee4d8860fa94484b2ee","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (4, 4, -2, 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":"sha256:1e0fc51a889bb6ade602d831c426fc5e255272ac6c044bed31d17651b5aceb44"},"incumbent_state_id":"sha256:9c2f8e646c0aba4530e0b2d89c15c7d822c15d9e76df204bd479de380e9614b1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -23}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 4, -2, 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```\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:80d880c8dde5e87c39ca64974828c053c4e79635ea2c274bd04e2aa393fe48b0","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000240"},{"accepted":{"artifact_digest":"sha256:d5d00a65f9f05b64149e4cfc358373f8eb50eac17d6ef6e3e4e0fb225c2cb2dc","candidate_id":"sha256:ad7de562213bbf3995e2f32e743849f5edba15db7050fe1ea70b58cb793880ea","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    offsets = (4, 4, -6, 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":"sha256:65714c01684da30f0c20cfe4bf2ab3972e9e542d36f26bf4525c729c7a15e4e6"},"incumbent_state_id":"sha256:f9c64e81e76873c63209f3c70efbdfa9722c3daa23dd5ee4d8860fa94484b2ee","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -23}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (4, 4, -2, 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```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bd773dcfcf942ce4aca6c82c482996f2f61014b41f7a4c94773c625b79cdc687","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000240"},{"accepted":{"artifact_digest":"sha256:304b6c38fea6ed2f2cbbdfebfe059be4c12bb4cdf27e803473955e68136c4827","candidate_id":"sha256:e4f3696cd2ba2eb87af2e8266d827bec6879dbaf8103321719e12eb58cabbf17","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 = (4, 7, -6, 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":"sha256:71c515b63a0e5a3c0da6f0a57f1943a8034cd83025d988fdaac1357302c41702"},"incumbent_state_id":"sha256:ad7de562213bbf3995e2f32e743849f5edba15db7050fe1ea70b58cb793880ea","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -23}, {\"input\": -3, \"output\": 4}, {\"input\": 3, \"output\": -3}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (4, 4, -6, 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```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fe31afe8229d8d22a21eb679d75be861c8a98be99cdbb36a234c910c1d892933","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000240"}],"task_id":"vlr-formal-v2-0000240","trajectory_id":"vlr-formal-v2-0000240-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:a4b472ffb3b91285854166d39558f1bd655eef155fb40a70b1dff30c64ab84e0","sample_id":"sha256:eebd6fb5257643f4465855e331030fcfd297b99f077d76082a1fb5ec283a0817","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b3139f79ebae463b617cb48b332913f62038842591b9e54e83e7bcaf463abc9b","candidate_id":"sha256:353abed0a48cde7e5036b5611211f4279f29825f310474ab228632a77f21b0ca","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, 0, 7, 0, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:14adff1379c645c2bd9370526777e183682a60a804a12006d1dd9a5a87714fd1"},"incumbent_state_id":"sha256:281af651d4f69c54a69803561669f8089d7cb1f95fea087f06009ee85a842f84","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, 0, 7, 3, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:88d0c1168c885c84281f2f29e7bf712a6834a249d94ce14cc668f8bd47985d07","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000242"},{"accepted":{"artifact_digest":"sha256:323be372244120f7491c67ab08659b5f124e92e5e7ae99e9eebf50da763f127b","candidate_id":"sha256:ae5e8500a4a025733a7fd2c61792f22f055641ea934d29714f109327cebf36f7","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, 0, 7, 0, 0)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:6d2af72431f50c2a423b37004d8046753589b281e8a29faa8a4c8582148d9bfe"},"incumbent_state_id":"sha256:353abed0a48cde7e5036b5611211f4279f29825f310474ab228632a77f21b0ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-2, 0, 7, 0, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:043831bd9c24e6969e7ddab3c69ed1b449ccf252b125ab2a84406918fedad788","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000242"}],"task_id":"vlr-formal-v2-0000242","trajectory_id":"vlr-formal-v2-0000242-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:bca78ef971556e142a960a90a4c097d7b0e1e370b9113d2d47d2440d6739dbcc","sample_id":"sha256:9d7da523a00659348a5ab36d58f20113a5dcd1d080ea4cb944b02e2090994120","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:100d06fc1ca1a3e739081604b3ed158b551bb60208c3595b2612b4ecc60ea5a2","candidate_id":"sha256:564383003ad6f1e800617fde1f84430aaeb64075c487f69c3e10f031955910e2","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":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (8, 7, 2, 9, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:e18ba97622b4c66bd098233580b8a81718214bbb5534809ca05e82a3c9af8e90"},"incumbent_state_id":"sha256:c8d6aad0242a0bb97ce6a139864569e95641aeb948f1561bb875089fea7f5903","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 3, 9, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7b808ffc21aa6fa081a1b3abe1c20da9df4f7289bb40eec9719a4032b748150e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000243"},{"accepted":{"artifact_digest":"sha256:fb520f5aea5f0ab3198a65115a7e7b9efce957ba516c753fbdab2c8ed7e7dcf3","candidate_id":"sha256:4fbac8ae7156c9b6a6160694b12b0b853ac433ceb8fc135929d89f0046517f66","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 = (8, 7, 2, 9, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:67b4c40c78bd2cf55358b767be41f36cb860f8cf055cecebb398713698d82d19"},"incumbent_state_id":"sha256:564383003ad6f1e800617fde1f84430aaeb64075c487f69c3e10f031955910e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 2, 9, 8)\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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b0ff00033f2cb0c43b5f970a966e71a1523a87d425befe2d2a1348edb2cfd9b6","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000243"},{"accepted":{"artifact_digest":"sha256:c7a36d2b0ba68427421b0a6ac913c44f409484277e07849653b2b09ddd853dd6","candidate_id":"sha256:01ac2098da4f56c17dbccc29fce23f442b409f096ac75e20ceac375a7661a92c","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (8, 7, 2, 5, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7803887c9ca1c21a4731975166362960496984ff868efe2a1bd0050d41962356"},"incumbent_state_id":"sha256:4fbac8ae7156c9b6a6160694b12b0b853ac433ceb8fc135929d89f0046517f66","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 2, 9, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:eace3ee521711ee9debd9fa9f06545f1a3153317bd84125eb84e6c7b028d84c2","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000243"},{"accepted":{"artifact_digest":"sha256:c796777b4bdb414648dc11f478c5f3ca93faec1fe77a6f3d1e762ff55f1ca2da","candidate_id":"sha256:7b987e9c057bca12194ba67ca747cae45725bc8332f460005f4e2608c31e4253","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 = (8, 2, 2, 5, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:f86c92662c2f61c76be017e385a225cfb37aeeed0079148eb848ac83e68ed90a"},"incumbent_state_id":"sha256:01ac2098da4f56c17dbccc29fce23f442b409f096ac75e20ceac375a7661a92c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 2, 5, 5)\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_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6189933d9b3213c0151d6b3d3a5240448e01fd6460c3fabf1ebec4850029a529","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000243"}],"task_id":"vlr-formal-v2-0000243","trajectory_id":"vlr-formal-v2-0000243-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:2ccc204414fe27666201a0d5678d9935c8424a02ceb8df70baed0c2a9c34d39f","sample_id":"sha256:6ec6e5d0f6329e27f9b010ea5c8438220ccdcabb02a7791e908e2de826a5d144","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:82266dc85fda8ce7c3d241d942dfba9b23a06508e314f695ba0aefe268ad696f","candidate_id":"sha256:2860a7a1ca632663f41dc0c7bb52954d4981e7dde1787b4a398b8ab6869a7a3e","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 = (8, 12, 1, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f88ba3550dbd419809992a0b7919a40ca6bafb30d26141863bcec6bfd0b25489"},"incumbent_state_id":"sha256:ef2a32e646f4ad27a556f5a85bd2eca6d559f0054ad49eca456d2733c3cdcbe3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 11}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 12, 1, 3)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8105c8199eb776c86ee10f808e684968d52fc962084bed37c4b9ffd2a159a537","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000244"},{"accepted":{"artifact_digest":"sha256:38b63d1afe7dd9e962e857dfdb2263da8900a9f7c71a699a073c11ab0e3fb78a","candidate_id":"sha256:7e0b12b10b9dfc589deb3a3da68e0cc91547e674d77c4c0dcec0670080383cc0","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (8, 12, 12, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e14197bdd62ab1e987d70db35e8479efd20fe128fe704fbe349b43a794be75a8"},"incumbent_state_id":"sha256:2860a7a1ca632663f41dc0c7bb52954d4981e7dde1787b4a398b8ab6869a7a3e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 11}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 12, 1, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9231097daa80474f6e0ace56864e11b9e2c6075aadc17524d835080751514608","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000244"},{"accepted":{"artifact_digest":"sha256:8b4ccb25407efa011965875ecfe4de2866ae4b4d5fcd39eb365c73ec7c7f0bcc","candidate_id":"sha256:4b400d8a8afc67d41410a9498d0282273f6eeac734d3d891484511a979572537","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":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (12, 12, 12, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0719d7e2d08b70a5a52581343f37bb9f7c91dde736c44c36eff3f2ffad11e2e3"},"incumbent_state_id":"sha256:7e0b12b10b9dfc589deb3a3da68e0cc91547e674d77c4c0dcec0670080383cc0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 11}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (8, 12, 12, 2)\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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8f2940255feb282f4756774952b0971e121f6d648fa1f0b7c3e7d46015834179","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000244"},{"accepted":{"artifact_digest":"sha256:c41a69c1f53b69d3c40c524c2e88148a85348dea13b2e3d4541d014d920f959a","candidate_id":"sha256:1d526ee4bdf9a2babf5dc338b777849f53c2945a76ae3ec1710104fcd4b99f6c","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 = (12, 10, 12, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e752c94c1c721aa172199bdb8507f8f723ce0dcc1e2af74d0d9a85a8c4177f10"},"incumbent_state_id":"sha256:4b400d8a8afc67d41410a9498d0282273f6eeac734d3d891484511a979572537","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 12}, {\"input\": 1, \"output\": 11}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (12, 12, 12, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b8ec942750c56a6749a0fa005be97c771d1b5b10f8cde0864890294316ccd413","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000244"}],"task_id":"vlr-formal-v2-0000244","trajectory_id":"vlr-formal-v2-0000244-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:5e26b3f3fa3a216c6aa917921db2dde3f19c9f2f3e84945a2945e65324f78ff2","sample_id":"sha256:cc8a8a0d9efc4579c5cbe02daba6fcee525d62f88c56139d8113c1e371ad65f9","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:30cdcf97c3fc071a443e83ef1df3e31ea11a79da4a3dc6a8c08a5307677425b5","candidate_id":"sha256:34c7317e72388583b6f4aa7b8c4d5e8aa795f214a216e731e33320337fb6fb82","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":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 3, 4, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:76cd3d7f7d6ae441f4d760c3dfebdb98caefabdf86fce2d34335e7886f63449e"},"incumbent_state_id":"sha256:09c0e0c042b4d5d6148bcb72acd149d3f105d153110c80dc2d581f25395ddecf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 1, 4, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:30c095e72c3e5ed686a3ee9667f46127e83b2713e8cde0c5e37f803bbd009626","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000245"},{"accepted":{"artifact_digest":"sha256:2ba9c80988f9dc447bc5d08800ff54ac244f077b18ed42c9116c59baee8b0d55","candidate_id":"sha256:0ed805932c94230b00093162f7497a90d1753efed525456b21d8286261ae970b","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":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 3, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a47fe820b061c0e79f1ff9f959eb33e4517880e8ed8b15a279a7f29759b583bb"},"incumbent_state_id":"sha256:34c7317e72388583b6f4aa7b8c4d5e8aa795f214a216e731e33320337fb6fb82","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 4, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:33fc7b26fc64c3dea2868dc5a133c6d96157c38f1edfca87242c69c667843dec","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000245"},{"accepted":{"artifact_digest":"sha256:287dcf24b2836d0cb13debb553582b179d68464252912e1de8884bbe1cb31152","candidate_id":"sha256:79240aac10bf59c2e92c2d55fb0e0fb8ada462cc114c768e349ce4f8c9620039","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 3, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e7da0663351f49a794a2fcc230f10e7ba4aaa47e3268a5afd5c0ed8357fea12f"},"incumbent_state_id":"sha256:0ed805932c94230b00093162f7497a90d1753efed525456b21d8286261ae970b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 6, 6)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ec153fcb06c46dc33feef03d28e85f826690ae203f4ccdb874d31a8651f9e3df","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000245"},{"accepted":{"artifact_digest":"sha256:2064109b39a17abdfdef629dff7e2272c6ca00fd1c968677200389e636578365","candidate_id":"sha256:eb210761111bfeb6a50546b68a7306193534102d65c8e3cd6e898001ac7ed317","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 = (2, 3, 6, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c21c4df53a1539480fa75f20d5476154be5ebf45d972a88f6b9b0ece617e5fa0"},"incumbent_state_id":"sha256:79240aac10bf59c2e92c2d55fb0e0fb8ada462cc114c768e349ce4f8c9620039","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 3, 6, 6)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5b31b1c900f227db798062e04a2a0d1b089281b8d548a5e2eef3cfa3263155b6","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000245"}],"task_id":"vlr-formal-v2-0000245","trajectory_id":"vlr-formal-v2-0000245-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:6b56257ba16446fd5c8ccf4a5c15fc7ac602dacab85b2ba38e537e973172fb13","sample_id":"sha256:44b0270f1577a8abe52a77a405cba3f041edbe5b004aa7731635b22d4df84406","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e23732a3d902f05ace3e005997ca814a72c803287f2ea314b785fabc50dbf6c8","candidate_id":"sha256:f6a996a4c48c55bf4da9a71de6b8fec4eacc1fdd414bdff198e154185e2de2cc","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":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 3, -5, -4, 2, -8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:be01a3919a37bea19df022ff8a9a487be9ec429110de304ed5846902ba988913"},"incumbent_state_id":"sha256:da77e644229514174b22890716a2f9a76ace27498142f6e75d16148f03680223","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 3, 2, -4, 2, -8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dbab358c03c34d8833532b11101b82d41e0dedcd0fc9568a2e5245353fd390a1","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000246"},{"accepted":{"artifact_digest":"sha256:d92bdd13bfc002a4d8d7f7927234d53b8b492fc038eae15aaff0f0b250c2e8f8","candidate_id":"sha256:005f055f22d545c8366d6e8b00c0b1232ec4986921cd2316c871edac4556dc8b","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 = (-3, 3, -5, -4, 2, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c0c694718401c64b911ae6deca9d1ddb7ac0e6f67c20e810bca4c04bfd0a3ca5"},"incumbent_state_id":"sha256:f6a996a4c48c55bf4da9a71de6b8fec4eacc1fdd414bdff198e154185e2de2cc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 3, -5, -4, 2, -8)\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_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cc96e3623a83803636153f18a40d4664a85c7e8682adf8e08aedc111af450cc7","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000246"}],"task_id":"vlr-formal-v2-0000246","trajectory_id":"vlr-formal-v2-0000246-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:65b2c02780cbab6d4dc225d01cdf60110be685bb4de59c930ededf94f27a3cba","sample_id":"sha256:6d8538cd66b6263c8802a1672f9721950a2c5cfce5cf3b259777b695b730f195","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c35c7a92d261d17eafb4ff76e5e670fc739472eca256cbbf2b6ebfeaa9874ff9","candidate_id":"sha256:fd3cd4f1fc7b7584061ba3b7b9a757ce4840a9d8f236c0ad286ca37564f63509","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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-6, 2, 2, -4, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:4c9b4357512d6cdc290aed2f04a36c050e47f910e30573f5cae63637e031c906"},"incumbent_state_id":"sha256:158c2372323bad25220753f9b32371d4d2de9cf8617a0b1a100b96e2b5b947e0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 4}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, 2, 2, -4, 3)\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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8ce81c0522624512541ec7e0a3d5ae708029c5c46e7f62fb43e369be699761b2","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000247"},{"accepted":{"artifact_digest":"sha256:9b5de070fff12f427be594ae4ae075982d706c8931ace482516dfcff935bca09","candidate_id":"sha256:afa122dcd909a8e5aedc05fc553543d809f9f749626878eda386652d31c18f67","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 = (-6, 2, -7, -4, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:8fe6446f5d75fdf6ada0059785413497eaa686737c06fd6e3016cbefc54f564c"},"incumbent_state_id":"sha256:fd3cd4f1fc7b7584061ba3b7b9a757ce4840a9d8f236c0ad286ca37564f63509","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 4}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 2, 2, -4, 3)\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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fd442e3ce8433eebb45dd081369e788796e7c4ad10fcbe87e36a04438a6399c1","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000247"},{"accepted":{"artifact_digest":"sha256:e74f67609c4653b29e4a0cb0255bd309ab4a0a54ec21937890b3f5a994d90fec","candidate_id":"sha256:088ecc7a6793dd3120dc05fa11cb8a1803810bd71cddb565d59bd399fc707dc8","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 = (-6, 2, -7, -4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c2b65ea88df94115d428dd0ee3c825d2f78cfd9bd66a7c14831a3b7baabf7539"},"incumbent_state_id":"sha256:afa122dcd909a8e5aedc05fc553543d809f9f749626878eda386652d31c18f67","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 4}, {\"input\": 4, \"output\": -3}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 2, -7, -4, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ca79ca990badb08864174b7e12ebc22cfc2e1784c803a39b695de1cdef05e0e7","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000247"}],"task_id":"vlr-formal-v2-0000247","trajectory_id":"vlr-formal-v2-0000247-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:19c918bc35d4457838961a5ff49402c05a69c53c0fc42dee72ef43080ffcca2a","sample_id":"sha256:7d0c3c1d15ed46e8407666656e8d536d6ea590e3e0bf8a7dda53f409c868dbeb","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:8519da90227630d2184bb077de6db3289c5ca96d3cdf01f5d51a2796669d3c27","candidate_id":"sha256:b6fb42e853817c828820bd9e2e092aaf4cdcbe91c2c129cbdd1e0dd6fc55f389","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":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (-5)\n    return x + (-1)\n","verification_digest":"sha256:4440b2881deac78f5c764f2d1aafefadc982a92e2d6a58b673b7d2981d6b301f"},"incumbent_state_id":"sha256:5711ef1f3ab97f78ee1842364696113b82fa45ffe8b457d6b60ed92d9392f4c2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": 1}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (-5)\n    return x + (8)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:480160a03f72e96c8f18b346adbec2e80fecc6cda12c1e7721a3eba29c09a7c0","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000250"},{"accepted":{"artifact_digest":"sha256:9978bdabadc2403b7982f09fb802e434454448da7492953cba5185354f2d37ed","candidate_id":"sha256:e9218d3d89245a715cf2017535528645dc81a11c5f8ae8eb6f35af5e5b83b112","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (9)\n    return x + (-1)\n","verification_digest":"sha256:df1527a057f54c14da9ce9fd0f42a5073d6c22bd89dae06d97a7cdf872c60e2f"},"incumbent_state_id":"sha256:b6fb42e853817c828820bd9e2e092aaf4cdcbe91c2c129cbdd1e0dd6fc55f389","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": 1}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (-5)\n    return x + (-1)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e5ec3737ebb6933a380e8d1c471f557fc697fb20d8feac5c395e1b58e07d347d","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000250"},{"accepted":{"artifact_digest":"sha256:7900bb9a0f523ed75656ce312e7824ebf69cd704a1559d8841a5de66cfa9a71c","candidate_id":"sha256:52e138c61788cf4feef4ec3f6136937081636bf77cd2f52987a2aa4ea04b3942","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 + (-7)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (9)\n    return x + (-1)\n","verification_digest":"sha256:2ca74ff02af622c88f7beee026420f466a49bddb180dad3067c7fbf3bb9471e0"},"incumbent_state_id":"sha256:e9218d3d89245a715cf2017535528645dc81a11c5f8ae8eb6f35af5e5b83b112","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": 1}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (0)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (9)\n    return x + (-1)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b29b451c13145e1f2514a108740e60fb5bf507db3baf5a9a8c4f5971133e184b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000250"},{"accepted":{"artifact_digest":"sha256:309beca606a31851a70a04045ff575fc30a6317ae66909250f5ff7dff5a736c2","candidate_id":"sha256:7ed04114bacdbb4565a625b7e0b7f5020bbdd3a56f0db9bc043f23201dd8ce79","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 + (-7)\n    if x < 0: return x + (4)\n    if x < 6: return x + (9)\n    return x + (-1)\n","verification_digest":"sha256:32016c7720d7c4099219e070be66bbdb1ce8da6f1267898a80fbe5a310cb04f6"},"incumbent_state_id":"sha256:52e138c61788cf4feef4ec3f6136937081636bf77cd2f52987a2aa4ea04b3942","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": 1}, {\"input\": 3, \"output\": 12}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (9)\n    return x + (-1)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0493451c15d0435c7e7b2f7894617d2275d94080e033887395cba9cd187eb427","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000250"}],"task_id":"vlr-formal-v2-0000250","trajectory_id":"vlr-formal-v2-0000250-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:6744a57a8d208313abb2cb6ece60e6f7b27cd97ee290dde3b386a0aae917500a","sample_id":"sha256:781535947704d1c80989f59e0a1f76912be690ecf4e04d70f727ab6e3eaa246b","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:fa5e6b9952e8eaea8474c085ad168c1b98d1304bf337058958277a1691727c93","candidate_id":"sha256:8af080fdddc29d13baa46ca819c20307f0cb1fb8cbe4924992bceb2a4c3ba8ce","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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, -5, -6, 8, 1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:e3bfdbadfb791047fd4158b6247ab6e4665e85aa8e3014df1a821c49004d70da"},"incumbent_state_id":"sha256:9c5c8917b9bc2b7e7040fac40270ff104fd7302f3ec4db6d72ad9738eb032f75","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 2, -6, 8, 1)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2c2c457f6baec3ee4e7501bdc132d2208ed0a86c28b575287ffe1c43a22158ec","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000251"},{"accepted":{"artifact_digest":"sha256:745ef11f48bc453711af365ff6989ec416a85ba1474c3736c7985e9520997e14","candidate_id":"sha256:1b1679b67b998d3e4ca625b9354cf5ddab8db07f4bf541ce4f7efd5adab3dcd9","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 = (9, -5, -3, 8, 1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2131253f46fc80e89dee08db1f01d2a39c4c0b1c529b177a662d2f6936b25cc0"},"incumbent_state_id":"sha256:8af080fdddc29d13baa46ca819c20307f0cb1fb8cbe4924992bceb2a4c3ba8ce","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, -5, -6, 8, 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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5d915bcab2c2c5019c4c6d039d2936fcd43605de5710b364fe4fd17cebc601d1","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000251"},{"accepted":{"artifact_digest":"sha256:e85aac4988455cc0ea806c3c8fd9d61c2fa180f94ee43e32d31cd723339989db","candidate_id":"sha256:ab3d5c2d4141bd020531948ce373ab9721a81423ad8f2369b42f04f8fa094574","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 = (9, -5, -3, 8, 7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:74194374c915cc2aff08fa4b289665ded8747a689fca52b933bd1da4720ba9cf"},"incumbent_state_id":"sha256:1b1679b67b998d3e4ca625b9354cf5ddab8db07f4bf541ce4f7efd5adab3dcd9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, -5, -3, 8, 1)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5f1132fd4fb8b8f7d906ac0cdedb3957d490803671461c2ae6faa383af2a4d20","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000251"},{"accepted":{"artifact_digest":"sha256:b7becc4179d237f3e999091a8ff38b35f5e21f279eec7f509033fe530b06f23e","candidate_id":"sha256:76f94b751fe2646d49ec1da982d139e02239c1d0ab76cc4cead823c74b771006","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 = (-7, -5, -3, 8, 7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a18d0a88e7fc4a82035c60aa2b9576d24b0ee92d61babb4669793e1512af3890"},"incumbent_state_id":"sha256:ab3d5c2d4141bd020531948ce373ab9721a81423ad8f2369b42f04f8fa094574","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, -5, -3, 8, 7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2ef084d3769ae236563fe0b58e064af229d04615a5a9eab6d395b5198c0bb4ca","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000251"}],"task_id":"vlr-formal-v2-0000251","trajectory_id":"vlr-formal-v2-0000251-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:4069258e48ede4f0ac536e2904a04cedc7c15400aff13a52eceb5d7c876f94e9","sample_id":"sha256:6e96e732e475bd24cdb0572bf02c4e2693e337e40e33e5b2d71904526fe30694","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:649c9aa1520aa3046a0a53217579b540e6bb1d4ccef24cf9b95cbce694a89142","candidate_id":"sha256:17d8b56e05cd6c4e26da40a6af864dc20e9a478883b69c73c3e0ad0f2e754fa8","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 = (-7, 5, 0, -5, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:aa6029a8dc22254857ce0b1e6b34cad730fc18c55a0de182999d7ad0b0a53f2f"},"incumbent_state_id":"sha256:d9ce52198adc27ba5f6fe9bf609c90bca58217384e522c6a85984b1460c940a3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-7, -4, 0, -5, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5368350a44a7686b515aef288f4421a26f4128fdb37ac0e691487a9f0e6a91c7","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000252"},{"accepted":{"artifact_digest":"sha256:e07c101c8969a635f928f5c9b68cb08ad4d18c91057b980284505d3768423725","candidate_id":"sha256:2b2d6aa05306f816949ad449ca6cdbc034e28c99d68797411d33777a88c3bb95","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 = (-7, 5, 0, 2, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:37d6337e0da9eaee0c73dcbdd0b7e5d456fa2736c7156dbe79844b4a59223647"},"incumbent_state_id":"sha256:17d8b56e05cd6c4e26da40a6af864dc20e9a478883b69c73c3e0ad0f2e754fa8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-7, 5, 0, -5, -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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4a776ebdfea1605468f3fbf16fdd63274537525352b54c8be2f831f848a717de","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000252"},{"accepted":{"artifact_digest":"sha256:316a23404d1a3d611ccad19be537b482174ac2b5fdb7fd0a4a948e78b6749ae6","candidate_id":"sha256:611690d4946d928c278976345fe022a328cd16d30f05a542b83ca073e8d33855","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 = (-7, 5, 0, 2, 4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:df8a2d2fb8ad69135c436ed5776f3b090952574b0438fdda0c2d9bba03a00bfd"},"incumbent_state_id":"sha256:2b2d6aa05306f816949ad449ca6cdbc034e28c99d68797411d33777a88c3bb95","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-7, 5, 0, 2, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1d545370a692733f75e3a21db4cf5d68e787d026a864137e7dc8ddbdfd966de4","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000252"}],"task_id":"vlr-formal-v2-0000252","trajectory_id":"vlr-formal-v2-0000252-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:65d737a9c8f868a3f3ca62f2b10f9756cc382a2516a04f602d95a015d358ea4e","sample_id":"sha256:d93baa66a2bf4770ac2de00e9deba40eb6e53855097f08b0937e8680d2aa6aa8","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:aa1e87306ef8c24dc71e2a738802eb10d5c568c38219cf5ce34914e29a255c10","candidate_id":"sha256:e33bcfffa38c119ddd6062077f3ba619dd7dbdec41fb37edcb93e97830590f3c","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 1, 5, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:28dad2482c11cdca5d77669310254ea6c5fef07d145756f20d17690a574697fe"},"incumbent_state_id":"sha256:fbe088cf732e0dd8849d3b5b37b70bc2662410c0c5808f81813159db5611d442","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 18}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 1, 5, 7, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:978780075c7236839a445ebe32c89de81bf186636ecf07174bca15073c6cf9ab","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000253"},{"accepted":{"artifact_digest":"sha256:e7902434771b5ac32994941146a9506ddea3c48b568d9151b0414047ccbbc8ac","candidate_id":"sha256:9487bc036bb61e626b7ad389c4d9d7dda148d32345c9282abb4d6f7bd8d9814e","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 = (3, 1, 9, 6, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:ee28ce3f36309b1687046b0eda500f5ea77e735712de5f17793d5fd5093df4fb"},"incumbent_state_id":"sha256:e33bcfffa38c119ddd6062077f3ba619dd7dbdec41fb37edcb93e97830590f3c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 1}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 18}, {\"input\": -1, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 1, 5, 6, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8711e29ea28955cbe6d07104eb41d23cc8d7812870b84db2999a9058a11a9ac9","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000253"}],"task_id":"vlr-formal-v2-0000253","trajectory_id":"vlr-formal-v2-0000253-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:5691c42f249a76f789fb594ad38143c10136e6db40b87119363cc3cf57e42033","sample_id":"sha256:c0b8419588cafe86fbde4eb74764828a9b074f6574d6f2b33c085ee3d7ccf3a4","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:5b72b01304d0adb6ae921d051b21c6b02ea99b7431d69507c0530c27cafa2d8b","candidate_id":"sha256:37acc3f79692d2ae53ee8785aba907a14ad60465d63717a4d5b3ef09247b23ee","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 = (11, 13, 10, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a60ea6b5f06aa2328439f9ec604a1de3a68b1b58764d1b7adea47e10cb9a2aac"},"incumbent_state_id":"sha256:bc8e6c60bca272b28ff65351d548c20653c8eed89f8eca75b9087e5e60624826","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 13, 1, 7)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6bbae8b1fa318d8a4a1a0aea9506395a5ab2d68c72f6834db6e55945fc10e226","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000254"},{"accepted":{"artifact_digest":"sha256:34a382293cdd2b0ff5e421321b3ba3d0f40f4d8f16a20558c9319669526c25cc","candidate_id":"sha256:0475708f9a7f102d8e9a01f131d1a166c74f74416bacaa4ede8b9ad9e2002357","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, 13, 10, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:1b3939b8acc5219670687c9cc34b754bb55aab6ec43030455d4b14a70a10dd36"},"incumbent_state_id":"sha256:37acc3f79692d2ae53ee8785aba907a14ad60465d63717a4d5b3ef09247b23ee","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 13, 10, 7)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b6726a7b37be26325e40f74f8f05c970be3ff8bb6f3f8babc6492614912244d0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000254"}],"task_id":"vlr-formal-v2-0000254","trajectory_id":"vlr-formal-v2-0000254-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:c94638ee3009519a18db26683a7e23b89c6502de2695d061f3baad199af1bdc1","sample_id":"sha256:29cbd2248e4deb09a55ad6963ba8b45f0e295aeb97750e4245c8078a18dba193","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:07247170f31d41a8ea979db35e8645752ca09b6bbdec99f9457e52f6e349aeb3","candidate_id":"sha256:abf70a87e7aede6d3a4af755dc619d2829589fa25a6d846459bf5be57683bb83","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":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:2cdb72500e0fc0905ddbe60046fcec07798513861e24078d5d8ffdda9baf8f26"},"incumbent_state_id":"sha256:272697ad93cb7c57db54f5dc1f97ff99d375e58091bb2d3299232a338f0d88e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 2, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:badc785a8cd1f799c57109182fc6222199870730f02b403496259a2fc15e5258","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000255"},{"accepted":{"artifact_digest":"sha256:117dfda87c27d11d869d434aeac640343123a196f3d61f63a6e9ccef207248c4","candidate_id":"sha256:63e4d24153fd2beba4ec81a8f643391be8321ce5c2c7f278fc4624a85f6dd69d","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:ac354332f5e5f36e898e0dbf9024efc35f8c38767ce746e77c12311ece3bc790"},"incumbent_state_id":"sha256:abf70a87e7aede6d3a4af755dc619d2829589fa25a6d846459bf5be57683bb83","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 2, 4, 1)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:34c8c196c0efefea26a26d691c44e56b53658a86da309e60e82d01c382d88622","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000255"},{"accepted":{"artifact_digest":"sha256:cc2adc01616168ddac6c0d270de5eb4dcc6e34257c22d6d32b69e2e277197812","candidate_id":"sha256:cdbd93f7fbc3f07be834b4807e8257fda824461c6f9fa139cb087bdf2e6a8f57","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a5508d4ffab47de3b706ae19b75e6a2edf8ea888437be9b535efd9b61c863b73"},"incumbent_state_id":"sha256:63e4d24153fd2beba4ec81a8f643391be8321ce5c2c7f278fc4624a85f6dd69d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4d477021dc0cfce2ea7d38bf5a543f102e2a78011d564c52dc752ade840d83f1","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000255"},{"accepted":{"artifact_digest":"sha256:0bb5c530b39149b33cc3e07ad08023668a09ddf112eb63738b9ddd9abeecb235","candidate_id":"sha256:4c3f40c15a9a69a71e87eedcad583e4298b89b049d247cedb44742d3d6195edb","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, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c3dade0ed28be91040e6c007bc127b3ead0ffe927c7e94edd929ebffa2288047"},"incumbent_state_id":"sha256:cdbd93f7fbc3f07be834b4807e8257fda824461c6f9fa139cb087bdf2e6a8f57","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 4, 2)\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_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:76a74e2744d719013eefc62051622d1377e9837579902bd8a96e559d044fb201","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000255"}],"task_id":"vlr-formal-v2-0000255","trajectory_id":"vlr-formal-v2-0000255-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:c32347619dfdb2cb3fa16f4cc6ac47a6624183b04b8975022a551acb170ac765","sample_id":"sha256:1951cd7e4fb167b5bc159197206ad7f1933a4e8ffba8d9b418d4fe4f18c7fffe","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:3b9c8e070ef9ab96363e7bd157c0a7a782faf001d9b47f3aa3db75d0a4bcf920","candidate_id":"sha256:0486cfa0715d1efa0ff7cf3ece180de242e951f3d0b7772efc7a5fc69f595a05","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-7, -8, 5, -4, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:38a38b33db40f58afb49ce190f76b01f18e3c6a7b5be0d88a3cf31214cde95f4"},"incumbent_state_id":"sha256:07f24f462bb228405cea6228f0d537ee1d8f6fc084529d379e4a53eba9c51e04","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -6}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-7, -8, 5, 8, 2)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d171db988ef29f6aad7d0e058e4d31ccc6b7155f8061aa6a13344ff41c19da14","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000257"},{"accepted":{"artifact_digest":"sha256:7be9e8453a4aef78c86782b13ebb2b3b0ad59589719f576e437162e57c3c47c9","candidate_id":"sha256:98b1185b43612c3b84a4fd1c5868193d7631757187c64e19f7034ed237a3a1d9","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-7, -8, 5, -4, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0ba9e42a5e9b63ae77296a2d394cbb7cfc2304f7ac669d3602cccac6b71108d2"},"incumbent_state_id":"sha256:0486cfa0715d1efa0ff7cf3ece180de242e951f3d0b7772efc7a5fc69f595a05","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -6}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-7, -8, 5, -4, 2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a8370ce910b8a77640dac8cc9ffd724f87522407ce21b0a3e89c31edb3de1d2e","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000257"},{"accepted":{"artifact_digest":"sha256:71778dca9080de03d1ae2b70ae8982e9e012fd2e6d0528573232327ac0d3854b","candidate_id":"sha256:2fbae559afcdd4c9aa22e91d57a991e44dbbe478d05d0c0688d61c958d56f187","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, -8, 5, -4, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:7a3e5c96b61e7576fed45f68a25face9976d78b9275c71dccc23e37aa5b77b6c"},"incumbent_state_id":"sha256:98b1185b43612c3b84a4fd1c5868193d7631757187c64e19f7034ed237a3a1d9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -6}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-7, -8, 5, -4, 8)\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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2af931d4122013a46a2d11ea92804857368fb4a644451e98c0c09f234c0ca577","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000257"}],"task_id":"vlr-formal-v2-0000257","trajectory_id":"vlr-formal-v2-0000257-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:ddf1ee4e85dede39ca81b02b034002ab72c55968aa2ff29c0106ffb60746f111","sample_id":"sha256:1c7e511cab7a3b5af3f5918427160f714930a46a72e26566ae52df8824bae439","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:746b86bd119fb0852119d2916816a2b3eeda9114bcfa54df7c86458df972ea50","candidate_id":"sha256:8fb59443ebb735f86cf6fabca8123e44e78b1aaf16d57cd4f016a4ad59a36704","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 = (3, -3, -5, 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":"sha256:8bfb3b818c98819ce614b66dcb91eeb206aedfe0a08d45b1bf79c5590eba2162"},"incumbent_state_id":"sha256:d7d9a094b90f46ceb150146e748254c56073031d12b74401f288e1af12fc8b09","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -32}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, 8, -5, 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```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e09fdb8fc0579da273046ae0ba556fd04f856cc4af6145283504aefb36f44abe","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000260"},{"accepted":{"artifact_digest":"sha256:f45615f2e607675389251a3482d09ce98ece4a5a53599de5ba5dc8c705039640","candidate_id":"sha256:effae67fa773622bb0f8e944b3281332b73eb0c540baaca825356c671f5ffed0","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 = (-5, -3, -5, 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:f46765bf3971333a4895fa39135a984aaf7deeb56791aeeac8d982cc56e1f435"},"incumbent_state_id":"sha256:8fb59443ebb735f86cf6fabca8123e44e78b1aaf16d57cd4f016a4ad59a36704","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -32}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (3, -3, -5, 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```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ae45bfc1399b900f037b00ca3f62d37ad67ec5aa5730431b7c69089abe742718","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000260"},{"accepted":{"artifact_digest":"sha256:0e334a0d3c00eb835875c32d3f57cce4dab7d030e5328c27a193e69a26ebf9df","candidate_id":"sha256:e052837813247c558e4416def7a19411fc68451c478cc0a9ce17194140c697d3","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":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-5, -3, -5, -3)\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:b6875a99c4e4ad819ee29842384b6fb9bba6f1475321cb6c6b695787d11022ff"},"incumbent_state_id":"sha256:effae67fa773622bb0f8e944b3281332b73eb0c540baaca825356c671f5ffed0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -32}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -3, -5, 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```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0c0ddb9903a02116ce22a1e9a3cd6bd20e216330f9eb5b0971b8da34448e7067","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000260"},{"accepted":{"artifact_digest":"sha256:abe35272c55deee447381f55e4926f81d21c6083e48b197b3607e3bdb38eaccf","candidate_id":"sha256:a54599d96ab53a6171626dcd39fbe44137055e29d4429ddede27013880c2bcfe","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 = (-5, -3, -3, -3)\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":"sha256:0468a1e696bd4396f3d1e130504066a9fd823e659ed0e829d54cb18367044b60"},"incumbent_state_id":"sha256:e052837813247c558e4416def7a19411fc68451c478cc0a9ce17194140c697d3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -32}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-5, -3, -5, -3)\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_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1c178427e7ce04f436b48d1ef14a2ed6511558a9c9261ad62782886547505f5a","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000260"}],"task_id":"vlr-formal-v2-0000260","trajectory_id":"vlr-formal-v2-0000260-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:33122fa9639ee48449800d9918a3e13cd792ec2c3974bf82317fa2975d1022cd","sample_id":"sha256:19a9b250c03d57571d7f66632c2fbdbb34d6671dc848902b89d4bb0ea6d337ee","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:059318ecdbf9e8c99b4398d29cfd25b4d1ae79ee449cef39fc9474ce9349768f","candidate_id":"sha256:2ed91665cc9c3b0333b791e117fcd183271d94e52180af8158f3177485074a54","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, -3, 2, 2, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:e2980a91226c10bd7b29a00d906878544be1ac82fb83b495a018fba9d0217b23"},"incumbent_state_id":"sha256:793ba185a5fb63321c1d138e93ba3d2f6bc90656de03288df4a8f215c1875ae6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, -3, 2, 2, 9)\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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:874ee8c2a3c0e9d3390ce9da999f6b810e94779526d437e5baa999c6758e0dc6","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000261"},{"accepted":{"artifact_digest":"sha256:bfc386da01cb0fe0009d14c1f466f5a87d0fe4a68312dcd556bcc0f2defefff2","candidate_id":"sha256:ccf7a6c426dfae2f93c9d65265f474a8b045e04c2ddf0593da557ce26c483c0b","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 = (5, -3, 5, 2, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:2d1a274c56c24238da3cce39b7731d20f7245c989cd98523d24ec35052e504cb"},"incumbent_state_id":"sha256:2ed91665cc9c3b0333b791e117fcd183271d94e52180af8158f3177485074a54","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, -3, 2, 2, 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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b19a252a6c458c1207bc680e6619ff62c4d4e4273624c33b593638bd358dd3ea","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000261"}],"task_id":"vlr-formal-v2-0000261","trajectory_id":"vlr-formal-v2-0000261-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:833e8862edf2eea0bd05c7f52d5eb179c18a9b9818e2664f8131fcbb37dedd1e","sample_id":"sha256:83cf46b8112b25a135bee70cc1c9159c3b2375cb2f8f931442f8946c013f554c","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:0c4262f71a5e87e91feb58756dafbf14382549fcb091fcea0eeecc7ac1c87448","candidate_id":"sha256:13bff6bd60ea1fb1a49794f30e5c8bdc8e598d992e5c606ee876bac8c6a818b1","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 = (7, 7, -3, 0, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:50a56180882854ab7f5f418919c7e055a0e89b2ccea4d39a4a10497d69475bff"},"incumbent_state_id":"sha256:0715d4b863cbc35a5dd35f726676c348e3dadfe1645185c46f514e56ab0fcba9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 7, -3, 0, 1)\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_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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fbb90c28f93926c5dcec3603a7a605d599cb5c41f70ecc6f9b53493b287b803e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000262"},{"accepted":{"artifact_digest":"sha256:9461c20f817aac124c0f5105faa6d3ca14370ec2b3e85620dc8ade64d9095f28","candidate_id":"sha256:df59bc0c6256bb0dd61bb1f3d1cc6db1b7c60b6b8023cd7033c1a91ef4fd968b","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (7, 7, -3, 5, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:21d8f75e15d4699dceb33809490a4f976dddee63c378a7d6028fccd01950f92b"},"incumbent_state_id":"sha256:13bff6bd60ea1fb1a49794f30e5c8bdc8e598d992e5c606ee876bac8c6a818b1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, 7, -3, 0, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:786872ff2050ad9c12ec6b3837a24eabe2d2bb13be5b23a2a4c103b508e8c100","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000262"},{"accepted":{"artifact_digest":"sha256:8fd081c4383563ca351bf69cb3c95ef6dcd9b430fb9d6ec422e9458f9b9af71d","candidate_id":"sha256:6c5da72d01b941710444a1062c47905eccae77fbaab534d09bfc4ed0bbbc6817","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 = (7, -7, -3, 5, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:492eefd13487edfd179a50d32a468121fccdf97f2cd74fd6f43ef4c09ca00c1e"},"incumbent_state_id":"sha256:df59bc0c6256bb0dd61bb1f3d1cc6db1b7c60b6b8023cd7033c1a91ef4fd968b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, 7, -3, 5, 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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7ec8123d2376544aaeca1df2c4b498d32ce2974d60b559f4ee33e36c48d20d9d","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000262"},{"accepted":{"artifact_digest":"sha256:56ad61ada6c39c2299fe713487512e99f66cba56de04855e307e944c89009e23","candidate_id":"sha256:3e4ca7150b28cb688187a10ee144c39df1eebc47c365931d33aaf73343e91e60","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 = (7, -7, -3, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d1b3ce5994d21b897ed6c4e4ea591939ffa4e51ee2fc3865f0e7cc346924fa38"},"incumbent_state_id":"sha256:6c5da72d01b941710444a1062c47905eccae77fbaab534d09bfc4ed0bbbc6817","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (7, -7, -3, 5, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:62a3bc2a0a976ebbd49b1490cc3f7b2283cc365fa34c659e4190eaca728fccd4","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000262"}],"task_id":"vlr-formal-v2-0000262","trajectory_id":"vlr-formal-v2-0000262-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:eafeda0a4aad136191b877ef1bb0449940c5e57370cfb8b5f182af67c2159bcb","sample_id":"sha256:77158503d2cf28882ec88ce23455457a6f6ea2c8c551a93cf593e1279396be3e","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ed19397d273ee9f6f74b73d334f0f1100bcef1f7cf8a2bd774496544672a396a","candidate_id":"sha256:d18c5fcb46012c52cd60906ca16ba60cf24440c34360ae6a06ac7f3b520623b1","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 3, 8, 7, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d8a605e7e8c9fc0c0548286e61884a9eb368bbe93174cd4dc9fea323ca68ab94"},"incumbent_state_id":"sha256:d22088029ac197d78080efbfdfdce95a79b123b90dc74fdd74ead02ad10c0e58","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 3, 8, 7, 8)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8668e608e5e559a6df35699a9154b559b7b20d5320131f620e45d47be97799b3","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000263"},{"accepted":{"artifact_digest":"sha256:10e937b4a715913925d52387514524b546344ba44d29892d0251e6d43a5c5380","candidate_id":"sha256:f97a928fe79979a6ea2607330f117befbbd12d8c205c725038e6614f7af90a4f","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 3, 3, 7, 8)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:55f9e83ac248012296453f35de744e95b2a0925f6a0a302ad7722930edb0ecde"},"incumbent_state_id":"sha256:d18c5fcb46012c52cd60906ca16ba60cf24440c34360ae6a06ac7f3b520623b1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 3, 8, 7, 8)\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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fb2787772ed8e20292c32ce32797934f227b1031332f6524f01d09ba0343c6ad","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000263"},{"accepted":{"artifact_digest":"sha256:edb96ca31bd0743e69bca67087494e9f12c3ccb0ded37234e487c438f234dac1","candidate_id":"sha256:480d36740cab7e4a088b32798fa6864fa2f062bcbdab70f36b1b5551f4726125","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 3, 3, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:bdbc1903eea0c2fd11456801c435bcea092af7ad1d994ac251bbd56135b94391"},"incumbent_state_id":"sha256:f97a928fe79979a6ea2607330f117befbbd12d8c205c725038e6614f7af90a4f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 3, 3, 7, 8)\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_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c9ca6e0b0676145ccfc0ea5db68fdac68f0df6736761ffa121cd0c80f7956e40","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000263"},{"accepted":{"artifact_digest":"sha256:5983f7216d2f52be500c992685cfca5a88438d885baab2cb22669af8f40b7768","candidate_id":"sha256:2eae509aefaf342dd62fe0f01021a87086e7d19c9896072578c24567b14ed1c9","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 = (2, 6, 3, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2730d1ef58422994fc8e333a5c196e8aad3a2d47ec5e3e620fe9af0dbf43191c"},"incumbent_state_id":"sha256:480d36740cab7e4a088b32798fa6864fa2f062bcbdab70f36b1b5551f4726125","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 3, 3, 7, 9)\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_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:01671353fc1d07dbcb7dbb432876dbfbb4465c3cc52f8c68aeb66559d98facba","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000263"}],"task_id":"vlr-formal-v2-0000263","trajectory_id":"vlr-formal-v2-0000263-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:93a49b31e26def94cca18eeb502dc7545119569b6d3029ec7250918ac05e7e06","sample_id":"sha256:941ac23e0092a864e72460cd8923ba7c9c32392d87f7e7fb5d2a2129844a20ab","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:9886e3ad0729a6e57556df2e1c16b9344882bb466ad70ab02920b65d8ac5a675","candidate_id":"sha256:8f5227813022f1976d760a4344dc9e15367f36cf66f79ef88929beda85738543","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 = (14, 4, 3, 13)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b1000ca4a886397fbfce63c12c9388722f494faafa7651d85b897c31b0285ff5"},"incumbent_state_id":"sha256:eb4541e139b3d7456274715139ce54bf00e1d56e2c6f983f8631931c0d5c705e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 3, 3, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cd50eb44ae52bf19d6c13d507cdc6243b2a5fcb8f09d70bdded053dc4577ba5b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000264"},{"accepted":{"artifact_digest":"sha256:0c01350b37891f07e69833325b391bd0cf9d98d4208e40686460834de36dd94f","candidate_id":"sha256:92d6ee02505f906527ca1a61255bd41b9f5298b8d357e536be511e446e3012a5","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 = (14, 4, 3, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3c70655e9096bc148c8a98439b1410b5f70253a3b3bdf59a49be87e9c0cc8fc9"},"incumbent_state_id":"sha256:8f5227813022f1976d760a4344dc9e15367f36cf66f79ef88929beda85738543","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 4, 3, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ae9fd6a0856e070730053ddbb3764d7d79c4062e4b00b8d4491ee1155d3e6968","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000264"},{"accepted":{"artifact_digest":"sha256:89fab31e9f89a3dc23cdd69a2642e7bf11d25d79929d5c0f15ded5b84e792cbe","candidate_id":"sha256:48ee270f30917262e6b43f00fea603e069bfd327dc15e944d81cb3eb225f9de6","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 = (15, 4, 3, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:fe77c0547efc2d53310b089dd5c74e37f34511585a142fe7ee247fd54217efcb"},"incumbent_state_id":"sha256:92d6ee02505f906527ca1a61255bd41b9f5298b8d357e536be511e446e3012a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (14, 4, 3, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:843db1d38233ba4683f5d6b0526cf30a3b21327e4bd8664d3f0831d40357e478","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000264"},{"accepted":{"artifact_digest":"sha256:9c9659e77e6494be247beea7ae9faa98c9a93e8c24549011f1c70833a092aced","candidate_id":"sha256:782b65376d4f94d0259d75fc794f47321f3245fb37862a6019f53e18f36a51c9","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 = (15, 4, 13, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:f90a4e70972feb98f37a0ae770135213d6bae669a98f93a02f22ba256e387c05"},"incumbent_state_id":"sha256:48ee270f30917262e6b43f00fea603e069bfd327dc15e944d81cb3eb225f9de6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 4, 3, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f3b506e1c18768f339baa27516429977dd4cf3282e2d61c73dcbcb2f4c2288e5","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000264"}],"task_id":"vlr-formal-v2-0000264","trajectory_id":"vlr-formal-v2-0000264-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:a44f7cf441ae2e2d670582d0300abb7775207631a5a1de9e589c482f9c79c3e8","sample_id":"sha256:1eff599c5523cf549531958528d120e91d1de036761d6e799ea62c8bc0b15d09","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:da043a3f3732ed3c568b8e327d372c98522172b4a8a878bbad9bf2b905f1b8f5","candidate_id":"sha256:fbaae99c2669acde0462690ca1a7fc5ccab19fc5213fe925fa8de02fd0baf5a4","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":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 5, -1, 0, 1, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:7e623bf10fd3cf205938e323ec135a6cd0bf46eea8bf500f48acfa937ea9a20c"},"incumbent_state_id":"sha256:54d3725917911e948bc19635843dc5a38956d25d2a33852877c37da19a3a793e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 3}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 5, 7, 0, 1, -1)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:46828634a30c2061626141cc792a5317387b8b6fb5bc2983369a483a42c6d0ae","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000266"},{"accepted":{"artifact_digest":"sha256:65923099ad353c8f1f7a829271716b979eedc8d566cb772a12366bae0459acd7","candidate_id":"sha256:d8b702849c581e707b24f9c3ec04b7dd5655cc608e434b54b8f142c3a295217b","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 5, -1, 0, -6, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a745e91a69827ed5227f997c67fd9a8328af3f00e08187b86538095514274f31"},"incumbent_state_id":"sha256:fbaae99c2669acde0462690ca1a7fc5ccab19fc5213fe925fa8de02fd0baf5a4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 3}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 5, -1, 0, 1, -1)\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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:77b12be0c6a86bd854b0c6f153fb3188a6f7735d57b90915bf8b483011d54d1b","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000266"},{"accepted":{"artifact_digest":"sha256:c20282eea8a593f6541a2db450dd3ba0158a90af07b45c0dcce8bbaac2f69002","candidate_id":"sha256:e64c13df55501f7e5f95e0ca0090a04c2acf3ddf50803b704b9763769efa6b1d","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-6, 5, -1, 0, -6, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:9e6af53a52167562fbfd3b2a22760d498035ece00e9ce855a1db5a091f36c029"},"incumbent_state_id":"sha256:d8b702849c581e707b24f9c3ec04b7dd5655cc608e434b54b8f142c3a295217b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 3}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 5, -1, 0, -6, -1)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:898a3b4a0b1841b77ae4711b1a627cb3f60864e94ef75604b98a3e02ccf4998c","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000266"},{"accepted":{"artifact_digest":"sha256:54c2f559443a35cc681e70d235ff823f405b3ed4cef56eacf70fdac7b417b2d0","candidate_id":"sha256:5e9b40246317335c9149b55d9612c7846241fde5803364af0627a7a2a3d2516c","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, -1, 0, -6, 3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d11962f200feac2b0665704f1f6944066ab63f511bf67436b14da1442286cf4e"},"incumbent_state_id":"sha256:e64c13df55501f7e5f95e0ca0090a04c2acf3ddf50803b704b9763769efa6b1d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 3}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-6, 5, -1, 0, -6, 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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8bf8519a9d32e0e055b037c4eac4214ec3646ff60941d63437eaa8c4007dcbf0","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000266"}],"task_id":"vlr-formal-v2-0000266","trajectory_id":"vlr-formal-v2-0000266-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:300aed3fbeaa584ed7bcbaadaca5f974b4fe54beedfb3b32eb0c62127fe0fc60","sample_id":"sha256:bc3e3be4aa1039bab167f71c59e4cef2b0e07c63cfd5d67780dfcc387f2e23ec","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:121b04a070067f054ac530ce5fb4d6ff1c13d77f32acf723da908a3f0d91f962","candidate_id":"sha256:9e023103640779548531785f058d508c01217d3a45e5b0719733977489bd0c9e","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":[0,0,0,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (4, 8, -3, 0, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a7124c5c0a0879beb25728449b589abe37d031ca287069f1c26b8477c480012d"},"incumbent_state_id":"sha256:2f3e4993401882af10a42e2712cad614dcd44369b477dd3929a6d03d76471b33","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 8, -3, 0, 6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:460e0d51aeb4aac0659e4a795bd1b5f5e3c7017ca0c92e04051b77912f9538c6","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000267"},{"accepted":{"artifact_digest":"sha256:8d953a4369ede02c978518da60000a5540e2b246b03e058c65374807c00159a0","candidate_id":"sha256:68f1bad9ca4c451d09f585e951d553fc73d49e64260ef3a421ebed0fe4b6520f","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (4, 8, -3, 5, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ee32a069a74fa10b953fece1a9fe5b6412c5ea9cf7327203dd65cc7eb14c2faa"},"incumbent_state_id":"sha256:9e023103640779548531785f058d508c01217d3a45e5b0719733977489bd0c9e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (4, 8, -3, 0, 6)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6e61a6e3613914e88194169323c4f122c9c186948f1110d4a7283a4fed0b8ea8","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000267"},{"accepted":{"artifact_digest":"sha256:04791746272319853dee9359a95b2ed2f05f75d7f33c70cdf5380a8366384592","candidate_id":"sha256:3063fea0b94d032efcf16b41d415bda097e9f4b7e6a717066a6059eb658b6ac7","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (4, 8, 8, 5, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:70c3a2551bb3424a16cf89ff9e8232a2a1426185ed4ec6a7e4244e4a8634f65a"},"incumbent_state_id":"sha256:68f1bad9ca4c451d09f585e951d553fc73d49e64260ef3a421ebed0fe4b6520f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (4, 8, -3, 5, 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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0bb43b86c3ac9020590b0b80c123713484620bcc040eb14b1af10bedebf0892f","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000267"},{"accepted":{"artifact_digest":"sha256:7b77c4fe4abe90b3ad54afe5905ccad9150d5fab9e08fadf281decb90ecfb559","candidate_id":"sha256:bfcfc6cbaf15ca93d0ef5064b6e01a0829d0aed879114bc4e29df0aca63d001f","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, -2, 8, 5, 6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:597d32aa5f9bedd0352715259643764fbbca682f4ad1add5c7b102ebfaa8ebdb"},"incumbent_state_id":"sha256:3063fea0b94d032efcf16b41d415bda097e9f4b7e6a717066a6059eb658b6ac7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (4, 8, 8, 5, 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_003\", \"signed_bucket.protected.case_004\", \"signed_bucket.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:31152d649e6bc342054c7a5bd6e1c6040abe425adb1db161fc39807a9cb8f732","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000267"}],"task_id":"vlr-formal-v2-0000267","trajectory_id":"vlr-formal-v2-0000267-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:2a9d5417a5233348300ac3ee0a4c9bebd52272e2c2102d1716d6d3b96c9d12e5","sample_id":"sha256:0cd95fd3cf927402165c45dea173894c6ccf0ca067ad5cb9f3350c75a12e5790","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:916467e5434a0108195929bc47e34c26b0cecc184cdb6d656847833b8cf62bbe","candidate_id":"sha256:2ca556c781c2f4534a19fa40931945f762baed09475567e93cadddcfc74e88db","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":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (7)\n    return x + (-1)\n","verification_digest":"sha256:abe40cda3957925dc68ae15f1a78e4638357e57bfaed31baf78d7e56b7f2e639"},"incumbent_state_id":"sha256:ddcc52c21871557e029d8b45298f3ee59120d00e13e8be50bf413e3f4a8bda15","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -31}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (7)\n    return x + (6)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7add07524ee3009c37b71e0387d641b42d1e94ce5853dcab11d82e1457f9c801","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000270"},{"accepted":{"artifact_digest":"sha256:f2b8fa34fca96d8468b064a78782151bdfa353f6a2e720554e39fbaf6f88e9f2","candidate_id":"sha256:8af49ae95119bbb1c474b1609e7fa8fd7d483e210468fdc08b579ed5c799ea0f","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-1)\n    return x + (-1)\n","verification_digest":"sha256:96ce81f68f9782dd346323e27a23b7b592ec4c46df0e714f8d5f32e35cf17c91"},"incumbent_state_id":"sha256:2ca556c781c2f4534a19fa40931945f762baed09475567e93cadddcfc74e88db","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -31}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (7)\n    return x + (-1)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c150515ffe805be46d4095669e32b544e8440047e6230681b659afd82cb66f44","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000270"},{"accepted":{"artifact_digest":"sha256:e37e7b8fc840dd3a6c24e73d53571c16ece2bc8cc67fc412932adbd1e9a283c0","candidate_id":"sha256:959649656387e87fb0d4471476ee43b58f562537a0f019a8976b7d1908994897","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (-1)\n    return x + (-1)\n","verification_digest":"sha256:395bc4eda1df8f92d6328faf5695065a3019bcab36cb55d64882ce3b36c35b81"},"incumbent_state_id":"sha256:8af49ae95119bbb1c474b1609e7fa8fd7d483e210468fdc08b579ed5c799ea0f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -31}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-1)\n    return x + (-1)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e20e52f9c47ab893f61e65a9551863bf9f86a5687cf652d7a4b812dcb9197780","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000270"},{"accepted":{"artifact_digest":"sha256:dc33dd89288313b298421434f2318db227d2895e5b560d7f465ae39a9524894e","candidate_id":"sha256:d91ff253e778cba64092625e4f70eeaa402870d712b6560dfa2d4e1574508ba4","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 + (-4)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (-1)\n    return x + (-1)\n","verification_digest":"sha256:5f2ebb9457a1db4bd8ecb85fcbba9e77066ffc97ab38d46f0df52d6959fd5ea3"},"incumbent_state_id":"sha256:959649656387e87fb0d4471476ee43b58f562537a0f019a8976b7d1908994897","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -31}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (-1)\n    return x + (-1)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:610ca6a21a7f849f1d4280cdbf267ae6b28429c7e09e490844750387d8d8c8fd","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000270"}],"task_id":"vlr-formal-v2-0000270","trajectory_id":"vlr-formal-v2-0000270-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:4cbb29fa9342f99d729c8526ca72888e7b3f960c2478ff9737866170fcd80d0d","sample_id":"sha256:3e926d12a814cecd49212d18cc921b3daf8f1a6c60b82e99fcef8b75518dcb2c","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ef0389b1842422d0f5afbed45b4dfceb9603a363e5989fd101a6446fe6fb6b02","candidate_id":"sha256:47c1a82c62263c7bf57ef89182d2d53b896d1418c81941132f324b4f20f5064d","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-7, 7, 3, -4, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:66bebcd9a9fa8cdca33249dc67fa6c534293878e72327f906c1991a1642b035f"},"incumbent_state_id":"sha256:fcbb0df8d86182cc149c49897584b25a3bb5b003b322fc6f35cf5e631d162ce3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 7, 1, -4, -8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2d65d789b505df5493a7e5c3d9c0e16f6d12f7165982d468c9736119e6ce6a8e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000271"},{"accepted":{"artifact_digest":"sha256:56c1c212ddd564b4deadc31a31414e2859d2980a498fea1ed8a2da67ca11c843","candidate_id":"sha256:ecbd56f1a9a5f602949247aad7d3f6029d7c6b31356c367f88fddb40ffa902da","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-7, 9, 3, -4, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:f74610783e4ba16906fbb93f180977e034e3b5d99f7b1a4deb1865debbd8ebd0"},"incumbent_state_id":"sha256:47c1a82c62263c7bf57ef89182d2d53b896d1418c81941132f324b4f20f5064d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 7, 3, -4, -8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fad05a4e7e253c315df32259346f3a6deaf3299743dadb73387b9f7ca75931ee","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000271"},{"accepted":{"artifact_digest":"sha256:b6d46048b93c4746d44abf3e54d90455fe16c62d3999eeef33d65c67f201a363","candidate_id":"sha256:a73f59c907eb4213df3c767fa81b23d73bcdb20f989b0f827aae1f6a6f7984f3","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 = (-7, 9, 3, -4, -4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:a8a14d11aab5cad5eb7a26bea66bb1db45ff7122a0fb586d27fd71763853ad01"},"incumbent_state_id":"sha256:ecbd56f1a9a5f602949247aad7d3f6029d7c6b31356c367f88fddb40ffa902da","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 9, 3, -4, -8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b34c33ed2b821912001fad6ad22f06905966f4682de602205b0d2e92012c3c75","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000271"},{"accepted":{"artifact_digest":"sha256:c31da818098af25f4d3070a65480dbfb8e6e576f90ee3db89466c935380e759d","candidate_id":"sha256:333a8e28d022507d96efafe69a4c99f543beafd180c68adda3aa184f65828791","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 = (-7, 9, 3, -3, -4)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:174ec6783c1017f2ae2d1dfde80c5e5a802c12a6f4409f33b9be7f4baefdf2ad"},"incumbent_state_id":"sha256:a73f59c907eb4213df3c767fa81b23d73bcdb20f989b0f827aae1f6a6f7984f3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-7, 9, 3, -4, -4)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8e913ddd33da3c3d0162818aa27d3b77e242f640edaa79b8e2fbd2727e2002df","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000271"}],"task_id":"vlr-formal-v2-0000271","trajectory_id":"vlr-formal-v2-0000271-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:53786e46895ee870975160fd36018b48318faad9dfdcedee98fd7dcc51a46464","sample_id":"sha256:a8be52d9b794d2dab22020bfaf5d26a989ffb322a0033591d549ba5d206ccaec","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b254e1a4e1d0e551290a31b50dac9322418e466203422c2b585283f1543bf260","candidate_id":"sha256:2746baad7880b83fb45f8dedf6690a7ba8d6121baac0df163cf1fd7cb8580d3f","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 8, 2, 7, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7d38b5622bfd1e30510e2c0571070e7d9d5bc9b6550e8fc3c26ffe83245adcd0"},"incumbent_state_id":"sha256:e7f5294627702df5b88eaa69fca5d9cc4e95d8ec8b971d84d3dc4abf6a15fa72","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 8, 2, 7, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:acfc22462184e73fc67ae763f30ae456b01617001effbcbd99611671ea220303","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000273"},{"accepted":{"artifact_digest":"sha256:41cb7272d12e639563a78aa73a73f1e041f5cfd017426fa8d7786275a5f077f7","candidate_id":"sha256:9575b7ee8dc2e833ba8c3074fe98569b01f746a8ef3121aa011c6c11504c26fb","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (1, 8, 2, 7, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d0e915340f6fda15cb62eb12cc00caee39524efce6001153452768a174e84d6f"},"incumbent_state_id":"sha256:2746baad7880b83fb45f8dedf6690a7ba8d6121baac0df163cf1fd7cb8580d3f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 8, 2, 7, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d922cd9dbb088f452a509a1d06bf14765aeba399c6cdf8f816604ef54343dbf5","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000273"},{"accepted":{"artifact_digest":"sha256:137e8823a52a323c73d9e7ba11680334383a44d38d6f5aececee1a11a1ea7ea4","candidate_id":"sha256:3a2ca25830ee5ba4a65448ae3a7065edc9b97cbb3b7f8aa751fcdb3ef2e19c8b","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 = (1, 8, 6, 7, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8a847895b905171627b1da9ae1a99f654eed1a0d86fed97e5fd29bfe4e4ac55f"},"incumbent_state_id":"sha256:9575b7ee8dc2e833ba8c3074fe98569b01f746a8ef3121aa011c6c11504c26fb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 12}, {\"input\": 3, \"output\": 21}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 8, 2, 7, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:62bffe86abdd99078efd89e128bcee6564d6a50631e3e17174aedd179d72c23f","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000273"}],"task_id":"vlr-formal-v2-0000273","trajectory_id":"vlr-formal-v2-0000273-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:14b2fddbb063f273bdcda2f10f74e1cbdc3ab82ec94ca28cb5f8e4e2ae4ea111","sample_id":"sha256:70eb1a517cec1f16b2ca68e1430a035be045a578d4ff280deef173b6a575b377","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4a321a31c8c1f957f6818c593b754db3b5d2249278377ae96fc4fed34287667e","candidate_id":"sha256:4d44d44ef981ed06ec090a2e9ec90e7229d7745aaf5a7e915933f12895afd5eb","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, 10, 2, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:21a7c7bc5e8ddc3d82941336e8ebf04da60aebd6009d11bc6e0f3238f4184165"},"incumbent_state_id":"sha256:0e6ef5748ff5e747a6e76f928a46e6d251e1d55a444389ccb2e817ce8571bceb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 10, 2, 12)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:18ddb8a27c16633232637a8d95d2c092543924bdd4af4c285739d32abfe02202","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000274"},{"accepted":{"artifact_digest":"sha256:f79495cbb8b0bf0c403682fa7e554fa5913115408876860288be7eb05fa995bb","candidate_id":"sha256:09d28436eb23bae4d4ef95eab66b65d353b007e84c8dee7050d3bdb52577938a","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 10, 2, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:353f7da447ddcd2acc3259b29100e96672e0bcdf0197d0e370dd94482d068d24"},"incumbent_state_id":"sha256:4d44d44ef981ed06ec090a2e9ec90e7229d7745aaf5a7e915933f12895afd5eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 10, 2, 11)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e78293c3627c9b98e7088af1e983206ec305a900481e94d50d36282483a3041f","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000274"},{"accepted":{"artifact_digest":"sha256:a53e998daec4ec1bf210be414ccd992963b025d570d3a53769e247eaaa8acd78","candidate_id":"sha256:927562aad8b8a2c3dc4c73df954be551f69c30a26556da1d31842e60643c55af","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 = (2, 1, 2, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9a8d0cd0cf11321665081158797e268a104c8e2dac11b281b6d2beeb6915320d"},"incumbent_state_id":"sha256:09d28436eb23bae4d4ef95eab66b65d353b007e84c8dee7050d3bdb52577938a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 10, 2, 11)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:87b557de51f2a1775474eef134e29c55e688953c05427e16a9719c3b84effa5c","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000274"},{"accepted":{"artifact_digest":"sha256:86899520d635bb6f7d92e622c8cd5891c3a45a2b6aad2ff1497a9bf0e7cd07ae","candidate_id":"sha256:9e5613c7f41cde9911aad477ea3cb52759901ec82a9bad47279e1c6a2365b1d5","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 = (2, 1, 13, 11)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:8b8138f822030a6c8b53dcd2f88882ffa1a0ddf78ccc6e2104b6b03383caf511"},"incumbent_state_id":"sha256:927562aad8b8a2c3dc4c73df954be551f69c30a26556da1d31842e60643c55af","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 15}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 1, 2, 11)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:858cbcc13b45797d90639e01cbccfade993f8d879e995ca5749726518063fe63","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000274"}],"task_id":"vlr-formal-v2-0000274","trajectory_id":"vlr-formal-v2-0000274-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:fbb29be14bcd930c5bb4d21600e94abef808966461cb1092e38a8edbbd22e404","sample_id":"sha256:b347e4bcf536691a22967edb8f4e64c3f178030c2fd1e6ac66f97c7e1c3ad0bf","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:db558d52b2c0b57dbd52d6a2de30205a8955ca1b6bea1274d0768f4a02a88f94","candidate_id":"sha256:255ab3d21e8583451972e60226735edba61d57261b7f98955cc8dd1ca90f9fcc","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (2, 6, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:0fec9cd53ee46a0a548cc55c40b28dc792cab416c6e20c5b3f320d3507908e60"},"incumbent_state_id":"sha256:4c8da89b8c9c972e71af7f79691ad8696a035ec91248159a5e61eb60b5f7a48c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 6, 1, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f1116022daf540cb8924b610ffce7aa259fd8b237bdb593eee8d2de30d621461","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000275"},{"accepted":{"artifact_digest":"sha256:8823ecd7b66315ca4b409e8f655903b16ef2a8a399b25b66a50f19f06ea2d06b","candidate_id":"sha256:2080a853a64a4baf22bd7e3255add919a1a9d2ae651c74bda828dd82429e68dc","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 = (2, 6, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:26c49c28182cbc5c0aa7e2ed2d1ac8c33dec0dc789fd2780bd050fc8dff11cb1"},"incumbent_state_id":"sha256:255ab3d21e8583451972e60226735edba61d57261b7f98955cc8dd1ca90f9fcc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (2, 6, 4, 2)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4b2551735032d78c0b3be924c206d9205a080f873afc865945d12f21fff568f0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000275"}],"task_id":"vlr-formal-v2-0000275","trajectory_id":"vlr-formal-v2-0000275-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:ec5e3c622f52afe0b8de5572793d68d72bb26a6df57b07632352d60f3e8327ea","sample_id":"sha256:84b953c35a6e658f805206783ecafd28fdef154d44a033a69f78cfb0f9c5271e","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4d56a95e48351de3910387e09996e5f9ef17f4ffec212c68812c7ff2d0c46ac3","candidate_id":"sha256:07183283a5a201d6201032f525f0781a595c1d5263743716389c2f568c7bfe24","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 = (0, -2, -6, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0fd449a36f4d1ce7d56df731f6145dc4e0633f9c4a8086e8bbeb570350720286"},"incumbent_state_id":"sha256:b2f230605f1625642afa8009bf0eacfc2d5234bb25167228952f98a7f0842189","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (0, -2, -6, -1, 7, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d5015bb984009d4ff1a4142ebbaa334025ee0066b018d7c68f5a0f328961a7d8","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000276"},{"accepted":{"artifact_digest":"sha256:ec16db8726a41a5525fc7b82ecaab9df5d5a8be13bc13a7c3c0e5d86ce0dc63a","candidate_id":"sha256:4b35696384c674be3a7ed90685dfe2f3bd4e98ba462b50079c8fbd34789f9bb1","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 = (0, -2, 5, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5593b1ed95c6e7ace631e9b405accbcaed58269d9067c133c6f5eac31a24b40b"},"incumbent_state_id":"sha256:07183283a5a201d6201032f525f0781a595c1d5263743716389c2f568c7bfe24","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (0, -2, -6, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4c7b47830b0ee883ce21d59c4d70fd4c057a7805743969e2101722245f34ca20","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000276"},{"accepted":{"artifact_digest":"sha256:6e377c8aab3cd023e2d386f0216acf9107d079d847438706c4e539e8162d97ba","candidate_id":"sha256:b6b73e70ec411f87394283735d98ec12da5098a4a10130fc77283ffc23687145","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, -2, 5, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:99de69f9ed40af0d1ad5cb2b9fc6bf5df5f46c3b2023c9f2d050d5cab9b32f8f"},"incumbent_state_id":"sha256:4b35696384c674be3a7ed90685dfe2f3bd4e98ba462b50079c8fbd34789f9bb1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 11}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (0, -2, 5, 3, 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_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0acc8f9cd9b5cefd4b0437c7014dbb5b199aafd68b4ab4aa2a721fb93016c4c3","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000276"}],"task_id":"vlr-formal-v2-0000276","trajectory_id":"vlr-formal-v2-0000276-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:19786c602c64ff1948795d686454e21659d402592966715dc887b136bb4f0438","sample_id":"sha256:c88d4db9dfe0ebd19d03a95f9548c2915eb2696860776d25b9661cc6cda3c185","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:7e59583ac485934a1f37b9fac395c8ee5bbb92e3973ab22edb50bff4deffebe2","candidate_id":"sha256:bc16b4cea20401cacee3c4d7278e07c700459dae0e5a32a6c941e4c1c85d78a6","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, 3, 8, -4, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:6be56e029ec7fd53324c6447fa3f4436b814b153dcae8958e660f627f5d3c1fd"},"incumbent_state_id":"sha256:823f6b369f71ce5293881a631ae1b1dfc26d1bde0a5207e8a5086186ad58881a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 5}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 3, -4, -4, -3)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:24eff93d1e7d2915d9baaf557717a738980389fb2c6a9ac35bd29526fa216ede","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000277"},{"accepted":{"artifact_digest":"sha256:5e28f36603812660b23e77caef3f0b7fcb4bbca38b97b509e34ec3dba1b21172","candidate_id":"sha256:5e388f8e829dd3e84ed9ce84128abcd88a9fa32915585dbf9a63e257fda76705","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 = (6, 3, 8, 5, -3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:16836c940d6e703865392bcc9724942067ddaa869a2197358f44554798d3c6a4"},"incumbent_state_id":"sha256:bc16b4cea20401cacee3c4d7278e07c700459dae0e5a32a6c941e4c1c85d78a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 5}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 11}, {\"input\": 8, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 3, 8, -4, -3)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cbd155f9d728625fe5dd946136bf9904bb41d1140503cd610abcec53bad3bce8","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000277"}],"task_id":"vlr-formal-v2-0000277","trajectory_id":"vlr-formal-v2-0000277-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:6087a614d77e1bb24c99306e8363384384a2a1cacf4c5c9bdbeee3b66d350c27","sample_id":"sha256:9ab48340c15ef1b3afa795fb270c590377c9c790a4ea8416dc2e0d550c955bdc","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:d5b6bd90f549a051bfaf0fe8642f07d917afa270761acf9414fc4e894b145ff4","candidate_id":"sha256:191a76eb5b1934340ef4d762db370fabc260c1d8c5823104c31c88e603cae869","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    if x < -6: return x + (-9)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-8)\n    return x + (0)\n","verification_digest":"sha256:6f9d98985dc92e135023cc280d71881d3773f143a61c455a5e757b264e36837c"},"incumbent_state_id":"sha256:f4704d46d1a1568da6f6345ba66c1b5f5bac05a7c2b96d32c4cb4b0a9b6a59d4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -36}, {\"input\": -3, \"output\": 1}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (3)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-8)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a5c267d479b9cbbeb4e29ff8ee6824bdc9276a16d794883135ddc076102df855","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000280"},{"accepted":{"artifact_digest":"sha256:3d90af620a139af5c5e9c79c1a14b757a7e049314b3b445443ad9a00a899c560","candidate_id":"sha256:553cd42f16109c1558aeddd5ad25263eb9f71bf084ded75c4fe8dde1e44f7ba3","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    if x < -6: return x + (-9)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-3)\n    return x + (0)\n","verification_digest":"sha256:559aa3d041736fe74db73af197ed21683e8c908985bd67359d043cde40ad3621"},"incumbent_state_id":"sha256:191a76eb5b1934340ef4d762db370fabc260c1d8c5823104c31c88e603cae869","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -36}, {\"input\": -3, \"output\": 1}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-9)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-8)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dc9b342f637b5b2b45be0a7537b320407782e19299cbd5bc4022cdcf66725bbf","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000280"},{"accepted":{"artifact_digest":"sha256:5868030df166873f44a3d3253a7d3073dab308836adc72f0b24b1d0cd549bb2a","candidate_id":"sha256:9d6dd9433852877fb35e9a37bb61a153605d4ee20bb25cd13495bfc705387695","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 + (-9)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-3)\n    return x + (1)\n","verification_digest":"sha256:8e6ee7c9a1fdb4d3aaf5856530f73a8d4d2b62be849557783016b276b34dfbb8"},"incumbent_state_id":"sha256:553cd42f16109c1558aeddd5ad25263eb9f71bf084ded75c4fe8dde1e44f7ba3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -36}, {\"input\": -3, \"output\": 1}, {\"input\": 3, \"output\": 0}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-9)\n    if x < 0: return x + (4)\n    if x < 6: return x + (-3)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2d25bcd554743fd5e9a0542183a37bb01d575a2c9725c777fd9aa7f1d68d580d","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000280"}],"task_id":"vlr-formal-v2-0000280","trajectory_id":"vlr-formal-v2-0000280-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:37a4b950586dac806d6d1ee83688d9a6b6a8d46f1364cb0feb21cdb73340d066","sample_id":"sha256:5cc5d44372eaeed113fa03ce8d4177d19ccbc9f1e339411c3e09f390702aa579","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:cf2865a2e1693b7ee3eb1cdd52785387f48b554fa89250e6dc7bdaad9216612c","candidate_id":"sha256:dc3565a555e5370ecef0d995b4cbbc447ae86e1a6ca8d4c5ea938e1571023573","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, -7, 8, -9, 0)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3bf202eb2cd2cfebbedcde7db59917ae47ee7a55e700354df449ff56b5d10357"},"incumbent_state_id":"sha256:b4c86d525028975fadf9e5d820ffb4e84a9f7cc3eb6af1ce6a40e8a4ba55cfa4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -6}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -6}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, -4, 8, -9, 0)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:551689286d7dee520afa6794be7b7546ef3793ec0bf83f725a459f604196920c","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000281"},{"accepted":{"artifact_digest":"sha256:1971d3b0a7a6ffb57806e77173a68a84f61d8e6ebb4f8f33c6a31c54edfaee79","candidate_id":"sha256:136a176b68e18819c7af940c7b3d51c462a85724ec85223dabadd8726bc5c80c","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, -7, 8, -9, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:452ac4f20c52fd64e43f4515ba92c92ada367663a650dcb648fe081811d7952b"},"incumbent_state_id":"sha256:dc3565a555e5370ecef0d995b4cbbc447ae86e1a6ca8d4c5ea938e1571023573","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -6}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -6}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, -7, 8, -9, 0)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c67bec91361030051568394fdf7f8692d2c4c405c9fe3f700a773466fa42a675","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000281"}],"task_id":"vlr-formal-v2-0000281","trajectory_id":"vlr-formal-v2-0000281-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:1caf38abf54b5ff9da5f603e54f51e888362e5714c5341ce07e21fdba6d1caab","sample_id":"sha256:178364776b6270d43b764250e5607874459cb9faf771616b4ea24c0b6fe70500","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:705d1545d8b124e9214246cc0240544dae2df2eee12fbb7b7c649fe37eccacc8","candidate_id":"sha256:468f3ab44496a97d704e8c4455b1a2e03eec8d6d64c2cd6ecc022a74231b0b01","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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, 5, 0, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:610144007cd473762a2dbbaa91a44b83b1d2ee80b0b18db6df9ce9e489d7fb4f"},"incumbent_state_id":"sha256:7cebce4625017cfb095c87c1d5212af11ca6bd48af867acb4edf28e1106971c5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 5, 0, 6, -6)\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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:83696879c44ee6d31d59ff9da65bb2428089e87789a4edb558dd6a0d9df0e314","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000282"},{"accepted":{"artifact_digest":"sha256:3c5fc00e377fbbbd24b8062e1fbfc4cf0fc2d599bc71e64aac12a4a12a55d37f","candidate_id":"sha256:19e811617a1875732a10a7a4558602df2ddfce2eb8fc6d6454ff33224067699f","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-5, 5, 2, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:985f7ba57cc66fa058955003799dabac0b663e5580aa55d26fced7ebab5dba87"},"incumbent_state_id":"sha256:468f3ab44496a97d704e8c4455b1a2e03eec8d6d64c2cd6ecc022a74231b0b01","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 5, 0, 4, -6)\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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7f085532cfbd95afa3578bb986c9e5bcc84cebc995801a3799b2af39a50c6f98","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000282"},{"accepted":{"artifact_digest":"sha256:c652808bf0374fa749a47537c8c13fa7ec10aa6f42694856a55d3312db4820e9","candidate_id":"sha256:4640f0f69fde6c3ce9fa070ee9b548d510a1a5cf50c6838c72fc0c523c383f29","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 = (-1, 5, 2, 4, -6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:36aa03001f8c87ea4ec12be7b02ea11966f7daf0833e7211d4622158797b8ce9"},"incumbent_state_id":"sha256:19e811617a1875732a10a7a4558602df2ddfce2eb8fc6d6454ff33224067699f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-5, 5, 2, 4, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c02f5595a74f2aa2865dd96f4ef3e6494d4446b2a79ff923211082a918482b02","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000282"},{"accepted":{"artifact_digest":"sha256:028733ade05c544a39da0e1876835714d45a0178bf21fcc845ee494e3c125c7b","candidate_id":"sha256:3b6aed64fe1fd7826cf4ba10f47bf0d2ae299f0e0e3cf9d44e3c8ac47ab2852e","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 = (-1, 5, 2, 4, 5)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:cd57649bd2f7d37384ee37843570e280e2d0d9766941bfc2c1947f626f5a490e"},"incumbent_state_id":"sha256:4640f0f69fde6c3ce9fa070ee9b548d510a1a5cf50c6838c72fc0c523c383f29","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 13}, {\"input\": -1, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-1, 5, 2, 4, -6)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3e0589c04540abcb8701838a236b11221daeabc24bf7bfe0689e4c5a2771021d","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000282"}],"task_id":"vlr-formal-v2-0000282","trajectory_id":"vlr-formal-v2-0000282-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:d8b066739381c767af82926b0412f8aa867d24eba49cb370b83036d6a494001b","sample_id":"sha256:be1203af7cef6e581b6f490882e1631f6f12bfb606fd489d3be405092fdf1b9f","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:74d37e6a8a870ff6633ff87f41169130b3f1b70adfb1b0b9b9029ce03647191b","candidate_id":"sha256:50fcb11a53b595f4a1e76e028acd8e14cf84388203f5af6534c218ba1e2d4cd2","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 6, 9, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a3dc4d4a111b7fa393c8ad18dfcfad44826453a171c4d3401f9c64115aeb3a1f"},"incumbent_state_id":"sha256:44a18463f6c4d41c273d573a5ffc3f26242f64290b9160f0504d130604c266ba","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 6, 9, 1, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fedac201efb0cc7acefdd3c80647e6001e5b9d7b75029b57418d085702b30de0","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000283"},{"accepted":{"artifact_digest":"sha256:85212a764571d3ada8bef3c19b0d947ebe1e6b8e734571db7059071aa7b5b194","candidate_id":"sha256:7b305e5b02f2643646938642fd34c3b628c73a15f682f85f6f631261e1c7a5ca","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 = (5, 2, 9, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8507e8b1274e6c92558d709679407b2248324d3ce6dbbb6933ddef7fb62fa6c3"},"incumbent_state_id":"sha256:50fcb11a53b595f4a1e76e028acd8e14cf84388203f5af6534c218ba1e2d4cd2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 6, 9, 4, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:312aa9f2ac76df03a8acc0b70336f23f3e56bcf2367c1a901da631376b6eaf63","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000283"}],"task_id":"vlr-formal-v2-0000283","trajectory_id":"vlr-formal-v2-0000283-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:6499dd27b505e3d625b30f6188950f7cee2895e8601606905d4d80789c8f0a93","sample_id":"sha256:95934cf357a69da24f8e6e01caea0ba690616ea585366d58eeeee3f1461e20f7","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ef21aff7e613b007210530683a089917ab38522125e7f6f88e6deb078a1269bd","candidate_id":"sha256:e85970aa813cb5f3faa919c4ae211ecb9b5319911625ed0f32ce5a9dc5994fee","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":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:45474b88762d47cdd483b73242638669d3968197b7275edf45823c99894ee14a"},"incumbent_state_id":"sha256:30cc2751435804e5ac837a10459b7b0245af524018ac3da69e2b3b84cf7ce3f5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 4, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a3efbdfeffc45b7e4ea9989b770801b64c1c248d3325d8d700d04bf51b9e4bb5","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000285"},{"accepted":{"artifact_digest":"sha256:1366dba3dcb90f7f2300fc6143382ecf51a0bf469d7315f4fb0ac7591043d811","candidate_id":"sha256:f9302ba9ea3a4518a05a6af47f052a42c8326fae7765d1e4ae41437436a72a62","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e0d810cefa7c2bc01319c950c6d69eb28a8a32ee778d737ed2a2ad6d3b0596ce"},"incumbent_state_id":"sha256:e85970aa813cb5f3faa919c4ae211ecb9b5319911625ed0f32ce5a9dc5994fee","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 4, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2b6117bf0b45cbf2ea5a4a02afef514c907b39599b5dff5dcaf9c65b43862fbd","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000285"},{"accepted":{"artifact_digest":"sha256:68c042bcbfbc2c9c71dcab376745d7b6e5712b0d1c5342a0182e142eff7c54dd","candidate_id":"sha256:5bf075cc4345dd95dba6fd62185cf48977373324a7e0359426d1bb7fb1338176","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 6, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f7a80acc5aded88a21b02dfa7cb28cd709d9e83bf670f347eafd6cebd57f2cc3"},"incumbent_state_id":"sha256:f9302ba9ea3a4518a05a6af47f052a42c8326fae7765d1e4ae41437436a72a62","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 2, 3)\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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:95f2e9b92d2e427fa970cebc72c4183ce536ffdff42995cdeb58edbb4934e781","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000285"},{"accepted":{"artifact_digest":"sha256:58f9adabd57b2c15c36bd9a32c88af9d773aeb38c7c7205bfb6f36b37ccbbd31","candidate_id":"sha256:134d3aa0df0d989db193d53b7c0fca3a781d0b252ef5aa4a2f70f9fc0c1db7e2","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, 6, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8519c8ebcf25e1d8446a04e71f1a809404c64354c9fc8141ae70b30f5c8e6e19"},"incumbent_state_id":"sha256:5bf075cc4345dd95dba6fd62185cf48977373324a7e0359426d1bb7fb1338176","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 6, 2, 3)\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_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a31e9bec154de02234e3748dfd25a85df7216bf0c0a5b0cf42ee960571a61642","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000285"}],"task_id":"vlr-formal-v2-0000285","trajectory_id":"vlr-formal-v2-0000285-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:0f5b86ce5322cd10eb5800c5611a16b7829711e66d3479dfa6585f497f69e95f","sample_id":"sha256:5aea8c8b59650cc8470b5c8565d8f1abdd887b13966cc8109f6289b60bfda204","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:6c718df0d1452fab4fdd31f6908056ff16ee953ee47087c42ee30d97db655db8","candidate_id":"sha256:8366df585750f5890085520c5c0daa9335a51eec2e04f814356a8ee37ee96063","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, 4, 1, -6, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:57124c5b54b3d85e4babc4d4465ac69f849c9d7e16fb5e259a61d6dd78712ac8"},"incumbent_state_id":"sha256:48a62235aa1dad0bfafeb0d63851fa84a5c48083c8177c0141f78fe595fc3892","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 6}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 1}, {\"input\": 8, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, 5, 1, -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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7682412c47f65d20cc7f60140ff6d0a7bac3a65c5b8c3c337cbe1c23117d852a","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000287"},{"accepted":{"artifact_digest":"sha256:0948d54cb7a73bb32876427e987473c20ba90f44625020fe4934ed33088236ff","candidate_id":"sha256:403de5c667b4d75c99987a9e5aa599f634ed917ff7e660b67c6c914b7ada62f2","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-7, 4, 1, -6, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f1a5d9ac115fd6726baffee4d9e1c74a8943e3beb74e3cdb2df78f54965bb553"},"incumbent_state_id":"sha256:8366df585750f5890085520c5c0daa9335a51eec2e04f814356a8ee37ee96063","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 6}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 1}, {\"input\": 8, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, 4, 1, -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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:db5e0f3b4675fa13a2558a76677979707b53dc64635df6dd3da53d1facf6eff9","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000287"},{"accepted":{"artifact_digest":"sha256:2702106a1a41e814a60284786667cfab8743d9e0fa7bc36a668add3753779cf0","candidate_id":"sha256:421a6f54e2e23283cd5228ea79fc385ff839e6b3c847fa5361bb1bab2ca53e12","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 = (-7, 4, 1, -5, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9321b5002adeb2d7b9d0661ae4fa1a2e4e2446a2ad36b88492bced6d8be447c7"},"incumbent_state_id":"sha256:403de5c667b4d75c99987a9e5aa599f634ed917ff7e660b67c6c914b7ada62f2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 6}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 1}, {\"input\": 8, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-7, 4, 1, -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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3168434c676158ea158594f10116bafd19b88c70e84818b2b15863b506fb2b68","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000287"}],"task_id":"vlr-formal-v2-0000287","trajectory_id":"vlr-formal-v2-0000287-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:46817cf9658b51feca0b2b80913135477e257e30d4b4db74cc6e495ec337eeeb","sample_id":"sha256:97a8e066500ae8c990f9bdbe4b3f45dedcef3ba5c60288135a756795eb67f422","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:7de359926741850e8bd2c99b1824126cbbda5f922139ee343fba05c58bdc0bb3","candidate_id":"sha256:3f5b396f8a7091dcf84e513f017e90697508c859df6443cd3d94684c70dcd118","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-4)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-7)\n    return x + (-5)\n","verification_digest":"sha256:80e9a5bc1ea870fcabc787c33cf37719b02975a1287eb80c9aec5c778add29e7"},"incumbent_state_id":"sha256:7501899158b7ef5f211d9ce431b43a96bd1fc6744bec7675ef06236cacc45ef3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -25}, {\"input\": -3, \"output\": -2}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-4)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-3)\n    return x + (-5)\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_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4411502ba791962d1ecb9bfadb3e2bc539b7cae825eb36f7c521e08e3678e8aa","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000290"},{"accepted":{"artifact_digest":"sha256:d3e9fe9380e202c5107b5d7d74d421b944fff171ca98f4605b82bd8fb008b7cf","candidate_id":"sha256:3534c57b34fecb31511c764f43e88b705f7504712f9d9bf3cc2139e81a54f257","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 + (2)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-7)\n    return x + (-5)\n","verification_digest":"sha256:fb18badcb72b2bb669e93be079f40c4de984e34c4a9322a60b29ad9a3c549f7b"},"incumbent_state_id":"sha256:3f5b396f8a7091dcf84e513f017e90697508c859df6443cd3d94684c70dcd118","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -25}, {\"input\": -3, \"output\": -2}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-4)\n    if x < 0: return x + (1)\n    if x < 6: return x + (-7)\n    return x + (-5)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:158f69b2bae89e50677db7ef7e3badc4def061042dc18016fd5a6c835359af82","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000290"}],"task_id":"vlr-formal-v2-0000290","trajectory_id":"vlr-formal-v2-0000290-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:793b2ad546ff68b7a7722af640cdc07b990e036fb8c52f9e2fb2a770a602dc01","sample_id":"sha256:e9c3bed5b446bce287b72452754fe57736f7da7d55e5a3569dc5e25cd00097b0","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:1b1f6bc2e979717ce4ff1e1fc122c391c22101c58345dd067dcd5287b8a88b13","candidate_id":"sha256:40d73b3a7e5bacd00ca5735e8cebcdc59eef54ec5f82be2a2949646189e1f819","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (2, 9, 1, 2, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:188c66f23798387c614458d20b549127ea1869d2483787066141e098ad6894c7"},"incumbent_state_id":"sha256:15117540959f6138852f4ae62ed6ff08e25e20aa8768dc7393de2f334e2ad5ae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, 9, 1, -8, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ae90fda591fa3d64ad56989df7ee387130376ecead3a1cade0b4bcfd49ab96a8","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000291"},{"accepted":{"artifact_digest":"sha256:ae4f0bb481d906c6a601d69bf70c87446c1ce43d9692f1112df50a12b5a80ec3","candidate_id":"sha256:a813dfd9d81e4a9d12fe09b5fb7d25d3fc9b0d54868bba6a0e71d17ab5aec52e","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (2, -4, 1, 2, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:adfd8b23d85f109c284f75229e1081eb1414a5a84e609793e17007e10425265b"},"incumbent_state_id":"sha256:40d73b3a7e5bacd00ca5735e8cebcdc59eef54ec5f82be2a2949646189e1f819","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, 9, 1, 2, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ad002f4d5756104ef52ace9ae925679f4b74d5e013e72a223cb26a17c6b9e037","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000291"},{"accepted":{"artifact_digest":"sha256:58934d7336a608e876c942904319ab0cb2b587c0ec84491220cbc9de35f18dd3","candidate_id":"sha256:3cccdd8eb61825164521ce6aa13d2660f5271cbb00146f6a7535e27ca08dba96","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, -4, 0, 2, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:034894d39f2c09b48354914c6493d71b16ec13e1bc6f07dfafdc052354bed8c1"},"incumbent_state_id":"sha256:a813dfd9d81e4a9d12fe09b5fb7d25d3fc9b0d54868bba6a0e71d17ab5aec52e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2}, {\"input\": 3, \"output\": 5}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -4, 1, 2, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2e025525d9808bff96ab4037a5aefb24aeae332518e702f11a6700ca19b96647","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000291"}],"task_id":"vlr-formal-v2-0000291","trajectory_id":"vlr-formal-v2-0000291-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:d43f2d0b4f6f554c0d823a376c22d585bba909cf04279be6ff6525208a8b65bd","sample_id":"sha256:86a761460357b7039404a9e16e2e40e09c9e5d1e3c1ca758b424a5eabc37f524","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:13cc0f8f39602f0bbdb52f2e4048c5f6f3a95816f5378c4be540ef643d5cbc8e","candidate_id":"sha256:ce8e0d03b6e8e652fd0717db336d26b9c1cdff3bae11ef5a16af7f23e50e7b6d","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-4, -4, -3, 3, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:7ef49f909a3b9a2ea102a79befcb1ed0a45b417804c5ab01f26f51b38b34b2e6"},"incumbent_state_id":"sha256:7b37e9681c4ac202f227f224ebeac011ef02a8b2f1cfb24b1fc071f7bd79c501","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-4, -4, -3, -6, -2)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8667094de7b5552ba9314bfeeab38436c02ba75ef91ab20341fcd0cb4a764ce2","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000292"},{"accepted":{"artifact_digest":"sha256:0e88062dcfe0e9819731aae02783994a15be88b6ab771bc60a5712d8da9e898f","candidate_id":"sha256:30d23f053265ad945d278f69e51eee2b361743f7cad18424e38e0903a22afbd6","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 = (-4, -4, -5, 3, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:591d0d12ac42a9afc15f046bbe80334ecdcfb895297a65433a5f23cbd78e58dc"},"incumbent_state_id":"sha256:ce8e0d03b6e8e652fd0717db336d26b9c1cdff3bae11ef5a16af7f23e50e7b6d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-4, -4, -3, 3, -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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7ea9a80e41eda3b1411bb66bf7b546cbc94da54ea971d5f65d962de5552f67c3","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000292"},{"accepted":{"artifact_digest":"sha256:1c5f5dff5759b8bb407059565c9486d304a8b20bae9a0406c37fbd0ba05d5a5b","candidate_id":"sha256:296e702dff64568bd0a045940a779343cec23d8abb70c97a3cd1e80dd1fe8426","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, -2, -5, 3, -2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f195168b18609f4b69472da5807aa29bfdbc3be7896404d0d3814d32d0981077"},"incumbent_state_id":"sha256:30d23f053265ad945d278f69e51eee2b361743f7cad18424e38e0903a22afbd6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-4, -4, -5, 3, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:436e18430cdf886abc387da41b5c51ae43be5b63c5c47f731a58ece96eb69667","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000292"}],"task_id":"vlr-formal-v2-0000292","trajectory_id":"vlr-formal-v2-0000292-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:9a50a7931f4095bd41713548fe2cde1c660e702300c9e5c32c863e15e959b532","sample_id":"sha256:5722d6aaacf5e5f4657304ec02654360035585a72553ef84b95553e155d962cc","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:5c8debeb8588d5c4766f57dfa20a5209d33ae5c38fd44fb1d5e5088c06f82027","candidate_id":"sha256:b91e13b57899ce24a8a2aa97856da8bde2b4b87e12911a1c429fe2040b7ca15e","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 = (2, 6, 3, 8, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:497321a7974b1b0ab363ae2e2b52a9d7416529301698cc35937a91c86cb3612c"},"incumbent_state_id":"sha256:fa64a623835da0feccf10281c010ee2475768f8091c5bff00afa857d4bd437b3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 1, 3, 8, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=14\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f1372101f121cb2441b6e784fe48e9cb8ba29ab7c1f2bc6689a72041ba2a3521","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000293"},{"accepted":{"artifact_digest":"sha256:af60b224401f40781801452037c35d1bc62102ad01ef2ebd2051889504e7956c","candidate_id":"sha256:2e89e00d5fa06e9c5f2d7234b75f61f09526db6206423d968695477d5b3d238f","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":[1,0,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (2, 6, 3, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:ff75626f5c57dfe6bfc0a985b28a561e34a3437d1f96d10732d290a59b52a581"},"incumbent_state_id":"sha256:b91e13b57899ce24a8a2aa97856da8bde2b4b87e12911a1c429fe2040b7ca15e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 6, 3, 8, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:44f8f678faf8a7df39ea891031f83f1723fe185a6914d11da606f3692d74fb6a","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000293"},{"accepted":{"artifact_digest":"sha256:7680e11fd3f0bbfbe378a7c81889ddd8f70eca9906b4cf98963231a3db757ef5","candidate_id":"sha256:1a1a1b65abae774e482b94f4cd10b1b6f087964aeb543b14c4e62dbc42e0e5eb","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 6, 3, 3, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a6d8c77d68c1011ffaa43ae97ed537d35d14a6968516ed77e9c1299ac59c239f"},"incumbent_state_id":"sha256:2e89e00d5fa06e9c5f2d7234b75f61f09526db6206423d968695477d5b3d238f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 6, 3, 3, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:20334b1665c0af205a39be268a01b6c223bbc9bf8c57895e33fc27d9e2e7dca9","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000293"},{"accepted":{"artifact_digest":"sha256:86397d1e4e7e30c0dbe80a5576caf36d2e1a451d5030bd045f45f4c6a8aba013","candidate_id":"sha256:3716a65363eadca25e213bbff09142818f2fe3373bd1ce3a5055ba26257d119c","certified":false,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (7, 6, 3, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:63e1eac0d2641201bdb690ff7c8a98c0b2e9e6f264a46c412b95095ca57b48b6"},"incumbent_state_id":"sha256:1a1a1b65abae774e482b94f4cd10b1b6f087964aeb543b14c4e62dbc42e0e5eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 6, 3, 3, 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_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1af87e15a10787efa2c9c2636b69eaf7405e0d99fc5e50efd4c110a97e5606ca","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000293"},{"accepted":{"artifact_digest":"sha256:40a39eb0c793bc44f06b36c3d5c3724f17c4fbb52dff9d058280b3838a44ed46","candidate_id":"sha256:903752b20e773be6f2f8ea47a9bb0d04275c7f644e0b69a882e1ef22fb27b071","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, 6, 4, 3, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:afb6dd80dd650f444bb17ba94b8b1fd7a55f0b10adaa90695b7d9978e2baab5e"},"incumbent_state_id":"sha256:3716a65363eadca25e213bbff09142818f2fe3373bd1ce3a5055ba26257d119c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 6, 3, 3, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f3c0318547f64eff4e874ac241989989411113d7b294d9990837c43631d9ae23","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000293"}],"task_id":"vlr-formal-v2-0000293","trajectory_id":"vlr-formal-v2-0000293-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:c35cfda98920f8e6dfc8499b721aae8ece53d9a77685ce6b1118bfc2cacaad77","sample_id":"sha256:ccdf6a867f20b8603cfff469598e1447547cf01a832f630ed68b81699bcc3036","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:dc8ae843313c8989650738ca44177a4e6ee9342f60f314a72062816dc8b80b21","candidate_id":"sha256:74efc98b9895c968b5cb1e663519eb73270531acba7476b6f1b91801df3284fb","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":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (9, 8, 4, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:154cce3b9d1a5e9eb62d0b0ec04896d8defc1b35eba2d09bdaf6a4d12a3d9807"},"incumbent_state_id":"sha256:b58652b20d2b11b051bcd42e92d96e64244a0741fd3e5cd48c9fa60513590b60","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 8, 4, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3d801bbf6516504be0992d86f593591c63b59065f593ab61eff44cdea365c7a9","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000294"},{"accepted":{"artifact_digest":"sha256:17df0f69d5fb8c518a6f4fcc93eb8c701f0d7367311bc85fb40908d883821b78","candidate_id":"sha256:5348af7bd4ae6d8d712794e94ef8473d92ba9f727399f6eb50d2659576b22b11","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, 2, 4, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5296850acfc13292b4413926ff0fbfcbc4270be12fbae17588522b92c7bf82b7"},"incumbent_state_id":"sha256:74efc98b9895c968b5cb1e663519eb73270531acba7476b6f1b91801df3284fb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 8, 4, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\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\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:34250ee44bdea845c62ef7ba9e158448759203ea286899f1d4bf53d2a4a86687","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000294"},{"accepted":{"artifact_digest":"sha256:7f77e5b1e460d131acdfa280fa57d57a68f61b1396dabfcecb9c9a69dc1d4910","candidate_id":"sha256:bb3b60e31631ad4490d8f27c8d1a6fb55a3ce686540c1a7761f5bb2854988259","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, 2, 11, 10)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:6c26d18972876f8931e2cd4e1dd89e8b5910b73f7ab5039fd07ebc9383a8cdb1"},"incumbent_state_id":"sha256:5348af7bd4ae6d8d712794e94ef8473d92ba9f727399f6eb50d2659576b22b11","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 2, 4, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9c1e2389496c0b835fca2119f8c0e6af7849ebad3cc5a4b47570220136ac902b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000294"},{"accepted":{"artifact_digest":"sha256:803114953f6569cff1fed18768f61620c744921a8c06f14e1d2412386bf9079d","candidate_id":"sha256:e627f3a2b644f6f60fab59ad20613af938ef4906a43a569351288e87ce5848c2","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, 2, 11, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c2f75740102f576c7c8ae34e8bc956cf1682fe69bafc3d4cc330c4f80d48ad38"},"incumbent_state_id":"sha256:bb3b60e31631ad4490d8f27c8d1a6fb55a3ce686540c1a7761f5bb2854988259","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 2, 11, 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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ebd260b0898dc8de6d571609fba9c2380ad744bb44b2165a31ea922a01a8152c","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000294"}],"task_id":"vlr-formal-v2-0000294","trajectory_id":"vlr-formal-v2-0000294-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:19be73c5625953a890a63920641168ceb162ea9acc603691d380be6413c087da","sample_id":"sha256:1b1c5a887497f61c107a00c371e51eb1ed05f4f478d5502dd5872d433b3e99c1","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c695057dffa3af61bcced23e078566efcf62b9e42a4d401bab560ca747eedece","candidate_id":"sha256:e0ac0fa6cb27d73d2d173c2de1fac8a6954b8bc600529ef43399d8003fb6b4f7","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 = (6, 4, 5, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6f5b1411ff369f840d2091bd0709ae18935746d12d79ab6909021f06280d34a9"},"incumbent_state_id":"sha256:b37200f19a5047de6b46cd3f5bcad378db667cea2f17f8cd5b3e831a91284835","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 5, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:011db24b0aca861c31de4ad00e07e1c88521d96d4f7b2e5c0dd795eed6e5f0af","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000295"},{"accepted":{"artifact_digest":"sha256:2ed84b0d87f8ba0751f1705f345b89fb847b2d774e94c4359ee3895ee86b5e77","candidate_id":"sha256:98648fab41746346eff376ee54a6aae236e9409f1eed25640a12bf043bafda7b","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 = (6, 4, 1, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:67bfc1a89c0d81abfac0be87404c71119c606463577347224821c17b3bc3e615"},"incumbent_state_id":"sha256:e0ac0fa6cb27d73d2d173c2de1fac8a6954b8bc600529ef43399d8003fb6b4f7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 5, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:67ff837e20d33500c031912929308ecf3de64b2811d15b8425f7423ce14833e7","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000295"}],"task_id":"vlr-formal-v2-0000295","trajectory_id":"vlr-formal-v2-0000295-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:79bf42a4c5d8f31a06d7a9b23dd7dc0f3d14ae131dd881745e4fddac20d19c95","sample_id":"sha256:8b8b627162da88fe55cfd8275d82b58da245bf1227390e31f81fc61952fa09ee","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4ac492ff00b09c5e7c0d2765595edef58e180de1d08c1e4008dff216f7fda707","candidate_id":"sha256:bd17d6ba62006c5bc97454bd758735b4f45330d5c1dc4020bde2bd2228d236b0","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":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 3, 5, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a8b237eaaa3bb11f89c82f59f09c4d946aff7b4e53c847575eb6a91482adc567"},"incumbent_state_id":"sha256:3e883aaa369783783e4d7e4e867cc82ad139860f0075d47867aecbea8766b38a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 3, 5, 5, 1, -6)\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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8661a31651fbeb5a1a3be4149954a5b69beec5868fed37b9a40dc4e4b0c63d5b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000296"},{"accepted":{"artifact_digest":"sha256:a166e0c2c15d619590e029bc7d809bd74d0986a6ed18480f3aea1b7585d2d939","candidate_id":"sha256:941fec26fc470d4ea5aa133365db7f1d564b6be04a82f7bcc3148f515cb05bb3","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 = (7, 3, -3, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:133f48bdc6939bbd970be87db089fae445d81ab8b613a75fa8a99b9d56cba875"},"incumbent_state_id":"sha256:bd17d6ba62006c5bc97454bd758735b4f45330d5c1dc4020bde2bd2228d236b0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (7, 3, 5, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=9\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5e3238448ee00986fb737450626747af7d5a4afd7c48b0fb2f578a31920af3ae","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000296"},{"accepted":{"artifact_digest":"sha256:4f9d641ca671e998664ddd4ef1edf9cbd3cd47c06eac7ba2875d4d34e5041b35","candidate_id":"sha256:6b800b5a58431a9e555914a74e2771339a26cc05f2325c53e771d2062f020d9a","certified":false,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 8, -3, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:a13f29e1d252a1b38635de2a99f2d4636cc71595fef65d9cbcd48f99d585e68c"},"incumbent_state_id":"sha256:941fec26fc470d4ea5aa133365db7f1d564b6be04a82f7bcc3148f515cb05bb3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (7, 3, -3, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:55b2ce6a4512263fcecfb9ef0073e3972af32f70453b1f94bfc7196b5d00078b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000296"},{"accepted":{"artifact_digest":"sha256:b31759424777fa83b2fb7a6460d287ba9429d2dc5159b5e79c3eef240da234f6","candidate_id":"sha256:19951a094f1e0fb83491923e6b5a4c72667044f9c528ca884b88abb8b1c219c2","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, 8, -3, 5, -2, -6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:83eaee7b77c4f45fa9e6cc0ed915568e78f103b374965a0915912bf7a9712a2f"},"incumbent_state_id":"sha256:6b800b5a58431a9e555914a74e2771339a26cc05f2325c53e771d2062f020d9a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": -1}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (7, 8, -3, 5, 1, -6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9f39c14bad16e32faf2375758d4fde4933dbda461261c7e3dc6ef5e69db131eb","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000296"}],"task_id":"vlr-formal-v2-0000296","trajectory_id":"vlr-formal-v2-0000296-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:693eefe0e9fba5e5a63a81a7cdc11e1b65fa1cd5afdea9a3da7c969306a90e21","sample_id":"sha256:691156ab59566db336d95e903c635429761165887c4800c13db5402653a2a753","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:371cef9396435f175caa16c7640077594eb34e36eecfe6cf71ef59c9123bf724","candidate_id":"sha256:d8ef417778c612287031865ea3aaf0fdff583067e0ee72bbfe79fb60e22ba4f6","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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, 4, 2, 2, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1d77eabcb6fe73fc4b531794b1974b79ae8a0e81e4ae4b764b01d7eb5b3f13f6"},"incumbent_state_id":"sha256:9e2948b3e0becd174bdcfba65f16a80a5d909af95a4b4e85d9c34e7fda4148cf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 4, 2, -7, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:41291b638de754c867e5e7fb2a70d3bc8877ceafb1a98a493d28cbbdb2272f8a","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000297"},{"accepted":{"artifact_digest":"sha256:4902bd768fed9ee0c24f5211598bfd61535d0ac0ec6e99e4ce1324ec65509e9c","candidate_id":"sha256:16c3320c6ee4d73d5a3eb5c043123c570189015b053ee79b294c9271f52d09d8","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, 4, -3, 2, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:90969e33f676c348eae3fe1d1501e1b6381fb9bd05343402f2e8ee3487978b63"},"incumbent_state_id":"sha256:d8ef417778c612287031865ea3aaf0fdff583067e0ee72bbfe79fb60e22ba4f6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 4, 2, 2, -1)\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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e3746768d15da22088f5aca582dbb1e381088b910fb55f2436728666b171b4e6","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000297"},{"accepted":{"artifact_digest":"sha256:c8b7b142e7b93c4aee71147ca84611e2eeaf7125e51c2e37bbfc64b2e3ffa005","candidate_id":"sha256:d9a76c0ba374f34ec832510e1cde33b94f8d508c6a57c9ca6941759bdd8c2f18","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, 4, -3, 2, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:74b790ea792f2ce6807e2e64dec0d685af863841e6d74b7b8adbdf945bb7cad6"},"incumbent_state_id":"sha256:16c3320c6ee4d73d5a3eb5c043123c570189015b053ee79b294c9271f52d09d8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 4, -3, 2, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e3b8ca430548c7bc93fdeb810b38eaff819032ee852b774983c15704df2c9307","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000297"},{"accepted":{"artifact_digest":"sha256:d12743e39ed75d67d25160cb209435962b593b1aff54759cfce0a493b9abbdbe","candidate_id":"sha256:11d8b5cc48cffc76028bb13f1172ddf1748564ab82725418d9c0b4be49e985ed","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, 4, -3, 2, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:79dc0a235e68a0a10ada5eaf4c44e2583980c17f9e30ce56cd7a5c5a0019cda1"},"incumbent_state_id":"sha256:d9a76c0ba374f34ec832510e1cde33b94f8d508c6a57c9ca6941759bdd8c2f18","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 4, -3, 2, -2)\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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:126fa8ccccb4b5755a18dd106064d1c9d33b42870e5bf964c61ab6df61139f29","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000297"}],"task_id":"vlr-formal-v2-0000297","trajectory_id":"vlr-formal-v2-0000297-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:7e0311bed33c18825f7639f2931848c3a4748d1c67576fdb7da5c781b227d67c","sample_id":"sha256:9b8e166861f1b51cbe96e3003f7a5067bc311110aab4c039060facb163d2ff74","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:27f0a6d7c0cc73fed2bcafc1faec5665063f6906b56c2a60e2e7afb4a8ceb924","candidate_id":"sha256:9f77d150c5297a3b6591ff2346b7037eaeb792ad140cbf762dfe64bb0aeb4cbb","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":[0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (2)\n    return x + (7)\n","verification_digest":"sha256:ce8a0cf1dac2cd9f390c7b2e6048d5a786969faa648e294cbc9519d6650d4119"},"incumbent_state_id":"sha256:6fcf0fe99445bc5581851c3c2f1cc7aa41ca5cd2cf51bf6c15cad58431d4cf1e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -26}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-2)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (2)\n    return x + (7)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:81f8160b30f6174e0477189188370e5d4c5e6d1150048bf7c657d747d3fa90bb","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000300"},{"accepted":{"artifact_digest":"sha256:5bc765d8a48371ee71bf10cfe48ad42cc1246c624534f6cf810e5aa04e23644e","candidate_id":"sha256:48e4d2369fbb3fbc04b8109db18d9e77749fe96b8c03a6db2048a0d834e22184","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 + (1)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (2)\n    return x + (-3)\n","verification_digest":"sha256:c51aeee46b417089cdb3ef07c5a11138a74d820a0abd817c2a9ebaeec638bc7e"},"incumbent_state_id":"sha256:9f77d150c5297a3b6591ff2346b7037eaeb792ad140cbf762dfe64bb0aeb4cbb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -26}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (2)\n    return x + (7)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:aa7a854a3259d8dfc2c424ee0f0018be6523e60f9a20348c3efd7618bc7d5bf2","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000300"},{"accepted":{"artifact_digest":"sha256:16a65883e6e004a5cd9e86619841b7f8a3fcefad65f9bda6d1cd36a8dd63a0b9","candidate_id":"sha256:0599d8e0d0cd82fe6e11cc4f36318d62c88545f403f90ea7c6ec251664d9705e","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 + (1)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (2)\n    return x + (-3)\n","verification_digest":"sha256:746b6e16b0eb8224bb9a41f9c68064089827cadbd98e65a54962467a80110b60"},"incumbent_state_id":"sha256:48e4d2369fbb3fbc04b8109db18d9e77749fe96b8c03a6db2048a0d834e22184","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -26}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (1)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (2)\n    return x + (-3)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5ff6253fa59e6804c251717316854a2ac1e117a407fd19544d921f3f034b6b14","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000300"}],"task_id":"vlr-formal-v2-0000300","trajectory_id":"vlr-formal-v2-0000300-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:3c6c8f516fe7bf3a287bf09d48ec61657d111c8cd2390f2a32779e5e8130c2f6","sample_id":"sha256:99e24963d1db6ea451c5dfc7803bc7c7b1185a942acfded84f73916e6abf6885","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:1e006c1a686f95a1871d9e82683bf744a876983f598dca16dd954973bc7d14db","candidate_id":"sha256:f1c9b2ed33ce67e6c7e9ee52bf10c4241f6bf03a43d94aa965b343c39c75d3b2","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-6, 3, -2, 6, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c720842b902b28298fbadd9a651bf8c35b25375ea3f837aa0b903f618318b406"},"incumbent_state_id":"sha256:5b9e05fae7d726fc5ba843ae1c4bedb2f1f7e92c88ba55d96df1dfcfb88231cf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-2, 3, -2, 6, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e46af6ec457f7b18dec55f2b33b38283b2cdf3d830dcbb88ed6024918b19e637","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000301"},{"accepted":{"artifact_digest":"sha256:bb7080c8b75bf207466db49184488cdf6f925b9001da1b10932f9d2e151d8cd8","candidate_id":"sha256:4508bed5cbb8d4b9711cdeaf51680858e6f1691f132dbd6b2977b582aa345e03","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-6, 7, -2, 6, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:b14b7846103d3881c516785117bf5162b6a433011c48c7b7f9c6944bd10798ef"},"incumbent_state_id":"sha256:f1c9b2ed33ce67e6c7e9ee52bf10c4241f6bf03a43d94aa965b343c39c75d3b2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, 3, -2, 6, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:330559e15f860250d382eee5b9c5e81c0d35fdbc95615f6a70adb8e29326d014","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000301"},{"accepted":{"artifact_digest":"sha256:0c547d3865ccb21726cd6e1925ca4fd44d29708aac30c406ddac7b0aff2f2706","candidate_id":"sha256:504a2d03fb3b74fed3704133131a0e098e109c8cc6ec7e089b877527795a1b59","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-6, 7, 9, 6, -2)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:0913a73e49ce7fad604b0651786f1e3f79f2ee150d4b15aae1b381025fab5206"},"incumbent_state_id":"sha256:4508bed5cbb8d4b9711cdeaf51680858e6f1691f132dbd6b2977b582aa345e03","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, 7, -2, 6, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4415f2cfedba0434d8c5088c83abf987b44f4622bcae69b921f174accbedd72c","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000301"},{"accepted":{"artifact_digest":"sha256:6664f5fa9020a1dbee9c0b8bdb0554e285df74331fdfe647d9d76b9d63686a94","candidate_id":"sha256:ae614fe2bf8e49cd16c168c8116cf490cf36396744d3b0fb8d14cf6a4ef4a167","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 = (-6, 7, 9, 6, 6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:89b3738e1ca19b462eb8575c795fd3883a3381f310de59645f2973ea6464f800"},"incumbent_state_id":"sha256:504a2d03fb3b74fed3704133131a0e098e109c8cc6ec7e089b877527795a1b59","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, 7, 9, 6, -2)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b1ced0fe1000148386bf9212676537c401a46126d93a01cc308141e1fbda7f0e","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000301"}],"task_id":"vlr-formal-v2-0000301","trajectory_id":"vlr-formal-v2-0000301-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:3a977d9ec0726348d37ec9af4f21998874fbe2a5f1fa8465f6c5b7a32b9d687c","sample_id":"sha256:1623235ca0712721b1178a3af4a0398a5fb84bc61f2aeda045b2be642b7c2b25","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:3f23cb9492ffbc1d919178427dbbbd78437b39c84cad18def6b9982c2659591c","candidate_id":"sha256:3154e37465222948def2d09d9f32954e9abe33c80c94b67c0b3636d5f4b74fe8","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 = (1, 4, 4, 6, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b32be99de86be114fe506dd8fc4fe2d639583bfe826c700a46ea663ebaea75ae"},"incumbent_state_id":"sha256:f424502f1ab2fdc3b071db681aaceafb46b19784ae027a3e5a300b709a3d805d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (7, 4, 4, 6, 3)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:92d2d26b3c33b0848caaddcd5eaa2cb9bf496feeb4fa73b432d5b567bf9a28e3","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000303"},{"accepted":{"artifact_digest":"sha256:003310d274f702d5987278c3b4dd127951439fd43fcb73c8088958af6d15937e","candidate_id":"sha256:bdabfa41a7e45ea5971bae64fae218b3a5d728c11ba82d8a68bf77909659e9ff","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 = (1, 6, 4, 6, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:86f744022e216589996b05d7f71e507eb077ab5f57c04b0d358eddc3cb85d3f8"},"incumbent_state_id":"sha256:3154e37465222948def2d09d9f32954e9abe33c80c94b67c0b3636d5f4b74fe8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 4, 4, 6, 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_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b0cfc1ea0f0aaf1573d9340644e735bb461f79ff1d71fba061294dfa48c8f781","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000303"},{"accepted":{"artifact_digest":"sha256:cad00634a1cf63539dbcd4ee31a3655543d92f85aa87cb1bfb5c254e5fae9827","candidate_id":"sha256:145b0f63486c1f820fa9aeb966bef76b78f1b87eb200a36159e1aab850ce92ab","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 = (1, 6, 4, 2, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:b7b57a7353dd1bd5a43ee157c45790c0da52c35a908b9aa3e44aeaeb7e2da091"},"incumbent_state_id":"sha256:bdabfa41a7e45ea5971bae64fae218b3a5d728c11ba82d8a68bf77909659e9ff","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 6, 4, 6, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0069c9f230486ef0f5a211c0f0fc94d369d857208e85b7702ac10461d06c03ec","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000303"}],"task_id":"vlr-formal-v2-0000303","trajectory_id":"vlr-formal-v2-0000303-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:651e07b36e445d0a7088787d32f836e462739f9edb435d4cea1bd1a42defcd18","sample_id":"sha256:1d31f20c87fe2c691ac4afec47845e049d5c4bbd11396418b60970986bcfdee5","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:9c5d804da57c9f4c229042820785a53e40a806f4382850fa61b8be4814dc8396","candidate_id":"sha256:d17e719705152ac2d4e1b9fdfdcc116f28c584ef49f7ce46b17ca38c12eaaf7b","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 = (6, 11, 4, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5411781af0d0629e96d980402dc2f607bbdb0da60e49ccfa346b7c55a4e45245"},"incumbent_state_id":"sha256:f9b34b95c0534140b725789dbfd4877892f875340dd0270163f4813c22f76780","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 15}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 11, 4, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a63ed2fb5a246f83dee16c9c35789cfc57dba1093fe4bb7de3e6c9a3e10b855b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000304"},{"accepted":{"artifact_digest":"sha256:ac731c292a6c4a6d826299ee127780da8309122d875107b62a35343ee2755948","candidate_id":"sha256:3c769e2313e51cddc6dc42ac44942edd65290ef37fabd9fb96ceb78bb030e506","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 = (6, 14, 4, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ffb76e531f3f31bb06499c097f634aa64c21525e4f726e03236e576c9eb8f977"},"incumbent_state_id":"sha256:d17e719705152ac2d4e1b9fdfdcc116f28c584ef49f7ce46b17ca38c12eaaf7b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 15}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 11, 4, 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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d59e39d3b9ca7d587db9a501d28a15a7ec2443eab0b2f6f7e2319a26444629f0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000304"},{"accepted":{"artifact_digest":"sha256:fc88a717c026b3f026b7609a55789b1e3d6cb3c7df90ba18e466d8949d4c244c","candidate_id":"sha256:17fc90cae9b98ffad73d447c6b288eab85cd2e5fd13ac844b86d9c274786d05c","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 = (6, 14, 2, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:a78049ec9158a2f7e8306f759875b7244cc9f298ee593bab8d33c5ab6f931102"},"incumbent_state_id":"sha256:3c769e2313e51cddc6dc42ac44942edd65290ef37fabd9fb96ceb78bb030e506","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 15}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 14, 4, 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_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7393dc979836fe8bf2dd078044c687dad021e315eb2088698008a9423249b6ae","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000304"},{"accepted":{"artifact_digest":"sha256:2bf13bf73374d7b5418816c1ef93c8d6d42a3d18a084f51ae28ca73c183f4b8a","candidate_id":"sha256:f40b7ff9db1b0980017860a87e5738faa4242cca576d9142e1a76802f7b3b488","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, 14, 2, 5)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4d4cc12cb8a1d4dca2c4f206167698afd9619213985fcd077ff738b81e3e3121"},"incumbent_state_id":"sha256:17fc90cae9b98ffad73d447c6b288eab85cd2e5fd13ac844b86d9c274786d05c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 15}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (6, 14, 2, 5)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3f078cf965092a1787f862dfa6ed6c0ca641b5024eba36973785fdd6287c9547","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000304"}],"task_id":"vlr-formal-v2-0000304","trajectory_id":"vlr-formal-v2-0000304-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:4991402b8f3df94d15f23c8a2052b9d7d3ca9fd51ccf7a0d645e934a1927a0ea","sample_id":"sha256:7d95d3f1abf891adcf6f48195c28a3cb7d37d1d22f132e4ecb5492d9abc42f86","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:209189e8786033aaae14d422bd9428e92b0b692be447d7b1729db23347b245ca","candidate_id":"sha256:bc4d76dc144b9470d86c2191bd0a8cea8333d5e0accf9761f815e6015d1593a6","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, 2, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a5d46dfc2e5592cf84e5aa026b2d3e12bf9ba20d67e8f2a68c04d2b38e85f7b7"},"incumbent_state_id":"sha256:b9c4358dfefac441686059309b4eecb3ebaa438033660c9e4a225522a4dd17e7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 2, 6)\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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4c90a6129eb49df082105699dc83e65c02fb89ed4c755df16ade52b12092ae9d","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000305"},{"accepted":{"artifact_digest":"sha256:ecb4ca560a2383c6d9248a10f2a291cc9802105df5a9224bff954c496cb26c21","candidate_id":"sha256:d2e803b8ea795c796076ca42c90fdbabcae62eea1c2f0af2891c960de2bd1030","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, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:00df73b74b793e085e0fad39cdd93184ecc7b1b2c3be001877bdbddd2f540053"},"incumbent_state_id":"sha256:bc4d76dc144b9470d86c2191bd0a8cea8333d5e0accf9761f815e6015d1593a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 2, 6)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ff0544cc6754a25fcfcc1f925c1e0c81f24c4e2e37d027987ad318b844e0fa0c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000305"}],"task_id":"vlr-formal-v2-0000305","trajectory_id":"vlr-formal-v2-0000305-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:1b76711e519a280e03fbea465b8856830e05cfd4d447234a19a9c9ff16a8a611","sample_id":"sha256:ff98638790293337c1ecd3b80b8afcc2414cf4d93be1df924948c24d983bc05b","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:7725b59eab3d601a84d0bb28a45d85cc2e00bbf9b9e5eaf411daf68caa490c63","candidate_id":"sha256:4a16d66ed7daca4fa6ba830a671649615104265553b02eb1a1074abf76eb67d6","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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, 7, -4, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:969a1e640272f4350f40668ffea374b9053ec4b166cf22bef6f2c8878bab8b08"},"incumbent_state_id":"sha256:4e6c8c24de9a9699ac296849b5c75ae0e9da20dfcb577bb7eb7426d6bd3cbd4e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 7, -4, 3, 7, -2)\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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b917be468332b2494ce1f76e130f403fd4ffaa4de21bea4dfba4da49bc6d25eb","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000306"},{"accepted":{"artifact_digest":"sha256:70cb2f9452e3a37323bae133fc4f7846292a15b83bfbd24c3c0a4b45428fb693","candidate_id":"sha256:2486d5ac8f3e53d1136ac628555fd69d379e5b73a0dbcffc716cb64ed0d16c00","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 = (2, 7, -2, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:8bd920173ce0c286f076e7a830730d5aa6864f3e5129d58ec1b2ecb68cd5924d"},"incumbent_state_id":"sha256:4a16d66ed7daca4fa6ba830a671649615104265553b02eb1a1074abf76eb67d6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 7, -4, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c6a542f20dbefe256bf1d38e44d285d4002fb0a3aea947852a2e419f8eb9671a","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000306"},{"accepted":{"artifact_digest":"sha256:359a8bdf5dfb470c28687cdaf1ee2262bfb076d79d020e04b68b876e6e39a887","candidate_id":"sha256:4e349228fad4307470ae96ce8e286906528295df67ae2750f0832cc9b4c909e0","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 = (2, 7, -2, 3, 1, -5)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:015f4015e2ef327568c3c21312d1189b223e4b426dad9836bad4b4036c07425d"},"incumbent_state_id":"sha256:2486d5ac8f3e53d1136ac628555fd69d379e5b73a0dbcffc716cb64ed0d16c00","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, 7, -2, 3, 7, -5)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:359587599eec47365bf606a8649ca7664c63dc2d1b76aaedc4ba2d31ffb2ada4","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000306"}],"task_id":"vlr-formal-v2-0000306","trajectory_id":"vlr-formal-v2-0000306-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:bd5f611548461006b69bf8ff6d32d146fc6243612da606f67fe9a53d02567603","sample_id":"sha256:2900d0734559fdccf61c812fda904ba01a1dbd0b6fcabda30b58b0a35195c32e","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:df24a63133664b5287584fec08391b42b0068d37b0cbd86ebd33c8bcc15d28b3","candidate_id":"sha256:41b09115996b4b040b9b48b45d20e43a0efead0805dfa592a9c5916bf4732674","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":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, -8, 8, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:3eb332dc268ca8369749b4f1b301ed8482b2b15fbb19bf32c3181463fc57aa9c"},"incumbent_state_id":"sha256:7429656440e3d395069c7a10916ff8d76c7393d1f667db95392220494abf272d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 9}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, -8, 2, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8587cd4edc3b89fb9741fd11f01b65629dd062a4474ce6d5d8ea250b983f19e3","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000307"},{"accepted":{"artifact_digest":"sha256:b379bc72224627b7a2990e0ffd155bb457d244775759701662686e46af64b395","candidate_id":"sha256:0f8a6c489eb68db968e7db08099a752bfaf9570c1b4c8dbc1a3e4d8962eef061","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 7, 8, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:197ab500a99ba621c31613cfba9eb18b930c2ead1d745cc5c4828fb739e24c9e"},"incumbent_state_id":"sha256:41b09115996b4b040b9b48b45d20e43a0efead0805dfa592a9c5916bf4732674","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 9}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, -8, 8, 5, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:57ccf0f42ec5b202d3d84dd782cb65fe47a5c34250308f2f7b531f24e8425483","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000307"},{"accepted":{"artifact_digest":"sha256:4953022bfe2805791f051603d8d863aa6bfea2b7f329ca09f610991bd1ee90c0","candidate_id":"sha256:4df5209deca6e01c8992fd848cc18e417807eb48861b8ec99ac8084bda58ae2c","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":[1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-3, 7, 8, 7, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0cae0d52e0eeee2262791e5fdd2d2563fdc9ae73f0b4eebaa8ce9cce83c5b006"},"incumbent_state_id":"sha256:0f8a6c489eb68db968e7db08099a752bfaf9570c1b4c8dbc1a3e4d8962eef061","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 9}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 7, 8, 5, -6)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cb2748dae4e2dd4d338799e3b709a61f268b418b5d9fc5c46b0cf3298f2c8b89","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000307"},{"accepted":{"artifact_digest":"sha256:d9143390f453a768543a3b3e087e448f1bc4e81c9c39898ab3fb40e1f4dad0d0","candidate_id":"sha256:18900fdf13187c67951375785f6c6517ec754be6d3939e4e3b2b990e3b3f3bc6","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 = (-6, 7, 8, 7, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:cc591416b5a3be93b399c36a599c52eb33c1837354b7a6bf5ead5b757e13f917"},"incumbent_state_id":"sha256:4df5209deca6e01c8992fd848cc18e417807eb48861b8ec99ac8084bda58ae2c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 9}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-3, 7, 8, 7, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2f9bd8a5344ac4ff7b341ed59a755f7b030b6fbcb60585179e688ed44e6974c9","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000307"},{"accepted":{"artifact_digest":"sha256:c3af8883fcbe6976df4e8e02f038e3a037be1e2f5ed9e75bbac7db1eeb6c5c95","candidate_id":"sha256:e5056953e3f213bb72413610338defd4ff6db6c65648dd2cd6185778dafec935","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 = (-6, 7, 8, 7, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9b17538041d8928158d90ead8e77f029a69e71efa0f2148a5ec3593041f4da7f"},"incumbent_state_id":"sha256:18900fdf13187c67951375785f6c6517ec754be6d3939e4e3b2b990e3b3f3bc6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 9}, {\"input\": 4, \"output\": 12}, {\"input\": 6, \"output\": 13}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-6, 7, 8, 7, -6)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1ac02ee018765ffbac7c5a42ada185dbd1232b23962680e28fe5bcbea9b11cfa","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000307"}],"task_id":"vlr-formal-v2-0000307","trajectory_id":"vlr-formal-v2-0000307-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:7d3c4e505b676d24c84495304b2085754dc6c7bfad2a0ef0f7ce3b1ec530cac3","sample_id":"sha256:5ddf9548f42fab4023b46ead98d4f5437e800392359c64e255b49d8b915e1073","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:7e7f94c27347f3d7a273ae0cc6adc67ea8c02c357bddb5c1cfe6e5eecdce1aec","candidate_id":"sha256:fe2f642232b83e420c3314916d9a4ed6a4d1fd4a272527e2d7c6ce734575ad31","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-7)\n    return x + (0)\n","verification_digest":"sha256:ebcf362fd72088428d0573c92a968cba0d6c039648081e1aa1ace37c71ed27de"},"incumbent_state_id":"sha256:4206d0f7e38988641a97efd2973d3a2468ab5f7a2fd377918617deeea4234a32","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -27}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-7)\n    return x + (8)\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_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9c873af45442f6e13f35ebb45649038f4e381eb2603ba8dc6a9a05e983043b07","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000310"},{"accepted":{"artifact_digest":"sha256:16f64d7536bf5a7d44ec18d85a8878ff04cbfd3a32c5a405de7c8ccf3030a9bb","candidate_id":"sha256:22a6be97d49daddb354c60bf0cee3b5460082e1d1f7d9d8fe119e2bba6fcb809","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 + (0)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-7)\n    return x + (0)\n","verification_digest":"sha256:efa06b6a7db6da89be81a45b24d54a51c8b891849936c66904abb2f6509f0d54"},"incumbent_state_id":"sha256:fe2f642232b83e420c3314916d9a4ed6a4d1fd4a272527e2d7c6ce734575ad31","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -27}, {\"input\": -3, \"output\": -12}, {\"input\": 3, \"output\": -4}, {\"input\": 27, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-3)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-7)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d52872bd03396455a105f1103ecc1530c78a6e5478c02419ba61f62b4f1c3621","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000310"}],"task_id":"vlr-formal-v2-0000310","trajectory_id":"vlr-formal-v2-0000310-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:f43f7e8dd31f4acbbaaa06a5160820094a5ed03391a2483988fe1935d0886935","sample_id":"sha256:131d521469fc7cead713f5b9b46d9f32e536e0acc9b953417f718d213afe0acc","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4834cd56a08ceb9414b5f2eae2903124b23d34e259b44f7f23397f2071fe591a","candidate_id":"sha256:5d7b0dfb410ee66f6f97bc45e818487a6b62780c62ddd96a09697caa153067f9","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (0, 6, 8, -4, -3)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c22084a200da25513d0f1567eb359343face2b0561638d281a0ec525d3679877"},"incumbent_state_id":"sha256:bb312e7a49c9ff4bd0576eec7725e07b59093e08d0f2d8da8ce977f000f33c76","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -1}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 1, 8, -4, -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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e1f88cd933f1b4a21b0915c153a22e6ff0bd182a8b5e388f1ae36c6eb6098359","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000311"},{"accepted":{"artifact_digest":"sha256:ee51ed316e30204b4b82d3f4e60f7397e6a1818b748a4ae7b6b467aebde52ce9","candidate_id":"sha256:64c5d7ad126afa11ce2ab03ce8e97466f04f646cb4c4875e3418e42f9256f30c","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, 6, 8, -4, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:1824a49df93e01d8976bed9246884bbc4505bbc678a18e822606e7def998ef61"},"incumbent_state_id":"sha256:5d7b0dfb410ee66f6f97bc45e818487a6b62780c62ddd96a09697caa153067f9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -1}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (0, 6, 8, -4, -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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:046238dcb976857462c93ddd0571f6cf7923dac0c1d39c4a8a33b010b21c9b10","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000311"}],"task_id":"vlr-formal-v2-0000311","trajectory_id":"vlr-formal-v2-0000311-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:3b6a9f38b1fe35ab68116d018e109ad90ec2e4c505433ef36a6e313695d8002b","sample_id":"sha256:bc5bbf2431e292360a4af9592e42586590bfcaf8064665c50cfacf361b4b7221","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c0bcf56d530edf14c1612157c061007cf51cb88485a466a930e3db3077caa443","candidate_id":"sha256:7bca7b4a58b288966091bae9f592c0b098aa9c815b5ecc3d588f7324af082265","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, 1, 1, -7, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:fd40e142a35ad407eee1babb6139e91fc2edc696c37c30217f829cc6a5dbcc2d"},"incumbent_state_id":"sha256:9ce350d1dc902db4e8a098faeb90f4f59e947d2ade80b5e1644605375db8f94f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 1, 1, -4, -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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:989a0e8c5622fa4fa38d35e855a551c841ec8cd80c07de2d6aec725ff2c4a2ee","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000312"},{"accepted":{"artifact_digest":"sha256:e97a4417969f3f3c1305598977d4544a744e75ce9fc939aa1fd876c9da869ca8","candidate_id":"sha256:0360993938aac6203a73d51f7afaae0c245023a958fe61dfab7a42c08698e571","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 = (3, 1, 1, -7, -7)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:841b86760a329f4639ab488404302c6b8a1fb6883e8ad411d4bd43e851f0773c"},"incumbent_state_id":"sha256:7bca7b4a58b288966091bae9f592c0b098aa9c815b5ecc3d588f7324af082265","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, 1, 1, -7, -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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ce34d32c380d3438bb25a4c78bae7f12fd969211931ff19c0cdd44cf1c80da57","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000312"}],"task_id":"vlr-formal-v2-0000312","trajectory_id":"vlr-formal-v2-0000312-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:e03d69c6e025b4bcfff1d7056bac3fa8cb5a1e358a21530816b2575fa615cdb3","sample_id":"sha256:e8e3743b98e0c6b1a48d6c6c596993ab8290249ac083fa9f05917528d371d999","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:bde30d2475266971d65c7e540ae30cce266b87356c03c998f0c412ba60420b96","candidate_id":"sha256:f7b47f654748fa9aa285b029fc309dc468c76b493b36ad6225a20a9cc11d50d9","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 3, 3, 5, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:27f20c330f5fbd6da96a9209e9c631202cc1487c826c484a2038836ade7b735f"},"incumbent_state_id":"sha256:9e28f829a6efb0bec141f5861c7f9cb6f0071e5d36104bacc0f846ace2fc28f9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 9, 3, 5, 1)\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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b14f350cfcf39bef8264cde3f0e1ad173925b7ceccbc136c9987417c6ff1c43f","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000313"},{"accepted":{"artifact_digest":"sha256:cb3dc9672d59b763dfdfe1d18d050457bc1ebd72d358aa5d853ef95e953073a5","candidate_id":"sha256:21dbebc1039767e5ccb90f10352941c2e0cbf342d1d2fb15f20aaf64cba4d989","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 = (6, 3, 3, 5, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:6389ef4272d94bdec01d726378c2256cc88f468bf5bd8ee3ca8f1d38ea4e4646"},"incumbent_state_id":"sha256:f7b47f654748fa9aa285b029fc309dc468c76b493b36ad6225a20a9cc11d50d9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 3, 3, 5, 1)\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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b7b20b3e8f977f2d2e8a2ae9d8618872bfb22b41995eb37d49acfe02005a5119","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000313"},{"accepted":{"artifact_digest":"sha256:a83bdfddeb9135f29aab67b80b91d6187b9673ee9f57dc608daba17e1743eda1","candidate_id":"sha256:565286ecddce3f3f2810b4c6c1390af4bf37cbfefea4f6351d0019414c5b295b","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 = (6, 3, 3, 2, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:67d39c07697b787fbdddd661bcb0f423421c9f4f54a6ec3a904832f6bc2ef774"},"incumbent_state_id":"sha256:21dbebc1039767e5ccb90f10352941c2e0cbf342d1d2fb15f20aaf64cba4d989","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 3, 3, 5, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3468ce5aefd5ec8c44f1c9880fe56c3cc611f4674b8016bfe7ff521f11eab7ef","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000313"}],"task_id":"vlr-formal-v2-0000313","trajectory_id":"vlr-formal-v2-0000313-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:0ba33f9237a7d27371b29012d6f521396edd5f00de88a39d9f32c28ca59824fe","sample_id":"sha256:a94ea9cda5206a2780bec4cb049165b01956f9a4b6557dcc3fb0c77b31993406","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:808eb2ae85395c2e19c8d9c73f18443fe8347a7158491c063fe2bf80682a3ee4","candidate_id":"sha256:22aa3aab25246665cd6883be37e8385db2bcaf602a4efc76154e9cdbad223167","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 = (15, 14, 5, 7)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:9f52679cc546d80d180a1fab94b94c515f4669e366bb25a6bfff982fac680695"},"incumbent_state_id":"sha256:d8ea04b50da629f5808cbab5f2aa8405ae2bf8c3052d811bbc327f9475d11bc9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 15}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 14, 2, 7)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2b828bbb54a9152fa38a47dc03941180b8ea4bd7489caa6ec24cdcd50a26861e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000314"},{"accepted":{"artifact_digest":"sha256:6208e0b762a76572ab08eb0b97446dd1ae2fc7c6af76b1f9cd42571d7755dbb4","candidate_id":"sha256:2fbc6cbae75a5d8b6bdd57739e13324126b226a6a5dd0c233332bc5ebc008657","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 = (15, 14, 5, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:b613d607e08e3065f5a72cf5acd03cd342e0f8ff7612e6b8115d747ae62e4bc5"},"incumbent_state_id":"sha256:22aa3aab25246665cd6883be37e8385db2bcaf602a4efc76154e9cdbad223167","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 15}, {\"input\": 1, \"output\": 15}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 14, 5, 7)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fd0aecb4f8b019690696906e28b1c02aa7510c28d2d9eacc5dd9ecadd8e81aa2","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000314"}],"task_id":"vlr-formal-v2-0000314","trajectory_id":"vlr-formal-v2-0000314-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:1171af597fd27d5428efc1dcc5c492b857b8eff3d3b863965523704066e184ef","sample_id":"sha256:21ca4c77ef2f21a61611e53e71e2177bbff09250251217b186332f030fb265c3","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c6bb84db1dc4ba9bb5b3d70ce651c1376a62754cbba4061d6b3187a9b5ba2fa9","candidate_id":"sha256:47d0c97c1be05c51981da6ea2302c5d0067a07e6af77a843e26f43da63b9c8d5","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, 6, 5, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:748d727abf2f097fda25e778e2feccb0bcae53a26a197ea8d44b75861ab2870d"},"incumbent_state_id":"sha256:81e843d55e0f80b7ec5e7a951a0225f9394e282d08d35f83f7e9758d531ac062","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 5, 2)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1eafeb80dfbc7b9c70968ed8d397b7cbdf20dba9c08529648772b8b46cb0aa14","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000315"},{"accepted":{"artifact_digest":"sha256:56939718829176aa194e86bff2acb2fa96a442096d2373b2a1802a77374f4373","candidate_id":"sha256:a0fab668b8298f30d3a6b1982d14b1611d664ba9a498206b1c70e6a5477160de","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, 6, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5673e1ec6ef81f7fbba26b9fb053da86d742836447cfa568c731eb16ee9fef1b"},"incumbent_state_id":"sha256:47d0c97c1be05c51981da6ea2302c5d0067a07e6af77a843e26f43da63b9c8d5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 5, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:416c7447cde7abeb953b513faf0f3a401e52a01cd8f46638e610292f99108d2c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000315"}],"task_id":"vlr-formal-v2-0000315","trajectory_id":"vlr-formal-v2-0000315-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:6e1361d30bf83a10af784f05abc66e004cbc046f6726dab340cf92da3f33c934","sample_id":"sha256:cac38e384068ce3282c3230ed9c4d986912eaecd3393ffc4a7da19d27aae5dae","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:8a3448138528a87e4487d515ed23c39fc90d4613bb4e44eeddc4202ab28262c1","candidate_id":"sha256:1ab0d733869815f3c869374d0fbcc9bcf53eaea9912d28ba18efbe3f6f918675","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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, 5, -1, 5, -4, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b315f21eabbb3cc4a8304198b08c714945252e6d603619bdb50de65dcb9d7469"},"incumbent_state_id":"sha256:02dcd3f9c06a36d5bb760325f5c3235af90058164e19f6079681f73274f72d78","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, -1, 0, -4, 1)\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_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dad8355db1f03465bc87ff6c541ed5da8ec42996cbe6f111147b79ccdc8c0f7b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000316"},{"accepted":{"artifact_digest":"sha256:9beffb495ecffdb7d0fe9010ea9eca232e615163d6f310326c4935961faada29","candidate_id":"sha256:20f92d8a146c6c2eece2423f5db3b12a5164043a68c134bcc0ca90f5651b9125","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, 5, 2, 5, -4, 1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:688bf2985a94b0c6a3077b4cd2340718d300d890fde1179202f3669dbd1ffae3"},"incumbent_state_id":"sha256:1ab0d733869815f3c869374d0fbcc9bcf53eaea9912d28ba18efbe3f6f918675","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, -1, 5, -4, 1)\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_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:065298c7d12f4fbfe1d62354da73513105716c59729b0ed8252d54db5efb5150","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000316"},{"accepted":{"artifact_digest":"sha256:80586747fe52d7aa292b92a9e31ae5903fbfa55ee757550217a270efc1ea76c5","candidate_id":"sha256:4b4352623ef382b926e6989d811fa82246e391122c716d8216294bd110bf9fdb","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-1, 5, 2, 5, -4, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ca0a4f71f6258c397ee24e48caab990dd257c3f80a118a30e91ec1e6674d9683"},"incumbent_state_id":"sha256:20f92d8a146c6c2eece2423f5db3b12a5164043a68c134bcc0ca90f5651b9125","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, 2, 5, -4, 1)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:43f1d07ea6c3be484883a5b816d308f91b6a0a1705c5ad6f3a050bd993079cce","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000316"},{"accepted":{"artifact_digest":"sha256:50b090170f3d7fbc76a665c74f7e86ce9b4807df0a204c2e2d980bd7a336cdbf","candidate_id":"sha256:0d1752563edbd8485b2f96af612af294bd595076fb3ac01bb55efbd7fc1f78db","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (1, 5, 2, 5, -4, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b44c38cd1b7973de8664907321b141ea70c67d2e81da5ba173aeda47cd7d0e02"},"incumbent_state_id":"sha256:4b4352623ef382b926e6989d811fa82246e391122c716d8216294bd110bf9fdb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 5, 2, 5, -4, -1)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b7949db4efa811263d983cb2e0224af4119a458576f9a2dc64df0039eb0c7bae","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000316"},{"accepted":{"artifact_digest":"sha256:a99107110ca4759f2e6fc03a37c85dc0ea961ab5b8eab0c8523db001a3524877","candidate_id":"sha256:bfbbb383eaf413f2f42323d504be3776737f3f17b4dbcc22d9db5d5702f3594c","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, 3, 2, 5, -4, -1)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4538fe0e09024e3de21124e8ff7c741dda4ff2a7a184209c105dfd5ea395eaa7"},"incumbent_state_id":"sha256:0d1752563edbd8485b2f96af612af294bd595076fb3ac01bb55efbd7fc1f78db","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (1, 5, 2, 5, -4, -1)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c3bb2ccb403cd453842d713b1239bc498b207ddb4b6657bf2ad8f5c3d1857233","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000316"}],"task_id":"vlr-formal-v2-0000316","trajectory_id":"vlr-formal-v2-0000316-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:f19e7f96a938e4b5a38ccd292ff358b45373eda26a9667ad157c0b23f480ac0f","sample_id":"sha256:034be835a73956d0c06ff5921b2c8dc8c63bb85b369b1832418d72171ed3345a","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:3477fff39a2ae4b7655390e020096935d77f965daf08a871366833a76eb0d1d3","candidate_id":"sha256:7835d9cf4d0938b3c7e89e717fa4bdaae99abfed920e29c3d8b9362863b3070f","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (6, -8, -3, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:0214a21bbf018b07ab28b0471aef9702e7315414366b13a759f40bf5610aad18"},"incumbent_state_id":"sha256:eedafa2b450cdb8017d2eeeefd47aefdcc9462b0453ff87ab7e4f23f764939aa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 14}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, 2, -3, 4, -6)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:51f2949483330f7a7f711bbdd1c4a76da2d0633d5948867db7f8d76d5f96f6db","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000317"},{"accepted":{"artifact_digest":"sha256:e1b53fa78b70dc37e7e74fd768a75af2ff335101f4366d6838e8927fa40b7afa","candidate_id":"sha256:a1b96b478612b3243805d70c8c3a979f33297c746c93007769ad14df0a5f3062","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, -8, -3, 4, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b14dedd674ab859957df9df5d9c18396cf1e93a832dcf85873fbc59a888d0567"},"incumbent_state_id":"sha256:7835d9cf4d0938b3c7e89e717fa4bdaae99abfed920e29c3d8b9362863b3070f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 14}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (6, -8, -3, 4, -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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f8dc20f587d4e80c25b90b22b54b90bf723442a153f41247351475242c477186","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000317"},{"accepted":{"artifact_digest":"sha256:803bbe35075161e1a77cc9b5fef55331486d786197120d06f4fc958339304bc5","candidate_id":"sha256:ac471712ebd7c9b928a7de957bb4328bf1cde9c7d43af20788cf9d0f2b92a23c","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 = (-5, -8, -3, 8, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:30dfd53f5fc59e2a3590223e83f80b2db31761fd1b2ad38a066da0ee79072c18"},"incumbent_state_id":"sha256:a1b96b478612b3243805d70c8c3a979f33297c746c93007769ad14df0a5f3062","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -6}, {\"input\": 4, \"output\": 1}, {\"input\": 6, \"output\": 14}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, -8, -3, 4, -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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:eb57580df9c7256103faf4d5d1b46bcf2bd2b0ab567baeac7d0bf396141331d1","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000317"}],"task_id":"vlr-formal-v2-0000317","trajectory_id":"vlr-formal-v2-0000317-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:3acfe9ffb7d8bf89b70102c163180d154e27992ff2aecb014314add1eaf6b907","sample_id":"sha256:250a730ff1522f088e7892cf2561c2dfb24eb7165519899639807413a18aa4d3","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:d1ce2cb8dd2aeb495ab136897a5d06a4de8614c14f81462e1c4ee4ba0887e97e","candidate_id":"sha256:6e5cf96816ed4866d4de4526ffc3a97eb97ce895d4a5d277b89afc4e762063fb","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":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (5)\n    if x < 6: return x + (0)\n    return x + (-4)\n","verification_digest":"sha256:b46f0082efd094dcce1a4e5403c84234b84bb4f6ab71705cc0fe7362ff9d5f2e"},"incumbent_state_id":"sha256:a2d882a5072ebc8a950f9981f57a84f573ad4031eff86c53f85e2e20c3deca7a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -22}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (5)\n    if x < 6: return x + (0)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5b945e1d207c6420c98d8eb1c54ec24c86cc0e957d0289b3bfd924986f49245e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000320"},{"accepted":{"artifact_digest":"sha256:1a4181634597577912568162b9cd741242c7d7df862edfe9acc7ee40bfc65f0a","candidate_id":"sha256:82edfd98e3cc277f1fb4e429a158ba9276ff6b74ef2762d4deab4cf7d19cd389","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":[1,1,1,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (0)\n    return x + (-4)\n","verification_digest":"sha256:75b447a4952b2aacba618af4d6fc20833d2ca84da499a8ebefdeab47bb70f65b"},"incumbent_state_id":"sha256:6e5cf96816ed4866d4de4526ffc3a97eb97ce895d4a5d277b89afc4e762063fb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -22}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (5)\n    if x < 6: return x + (0)\n    return x + (-4)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ad757e4bef6a7c0c9ee489aa8a39f1fa7ceb34ffcf92b1d740fb6bef829d4a79","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000320"},{"accepted":{"artifact_digest":"sha256:14f2ad81b5ff11953b6ce7dcf24ee357a6eaef47037ef73932b8fce93d506357","candidate_id":"sha256:8e807d3c192fe0b37765974aff05a5518a0b9b7251a7cd18027d739f6d856c8f","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (1)\n    return x + (-4)\n","verification_digest":"sha256:816aac9f044254e0d672a57418b3a710b6149a42d52c5da24ae9d9faa4a96847"},"incumbent_state_id":"sha256:82edfd98e3cc277f1fb4e429a158ba9276ff6b74ef2762d4deab4cf7d19cd389","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -22}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (0)\n    return x + (-4)\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_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8cd3c328f3a1fe951727c271e09350c9456f54c813a23e6cf8e3de118b715066","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000320"},{"accepted":{"artifact_digest":"sha256:6d955cae4b8b19dcfd7ba2cbe32bfa4f7d0eab49cc7c2e6103e87f9abe063a87","candidate_id":"sha256:719f8f6cf25a2fe358689cc7acc44e28682b92494d87b2741d74475aa99d3d6b","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 + (5)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (1)\n    return x + (-4)\n","verification_digest":"sha256:610ac6bc242dfac068c417e690bd9e44c377f858eb8d3b5baa3c361087f4b98a"},"incumbent_state_id":"sha256:8e807d3c192fe0b37765974aff05a5518a0b9b7251a7cd18027d739f6d856c8f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -22}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (-2)\n    if x < 6: return x + (1)\n    return x + (-4)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b4ddd36522c880c5b0e74131760b3722dbde942e2451d4e992c36430a162b974","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000320"}],"task_id":"vlr-formal-v2-0000320","trajectory_id":"vlr-formal-v2-0000320-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:50c29fc4c200a97237cc8d749932bf9349804f8b23f0e81ee0b6e672f47a12d9","sample_id":"sha256:0a429955c6ac47fe530280e107a54ade5fd4de37689154168d740da2bf208eca","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:9983310564744cd5b3f81811654f05794ddffb0244e9a9cb5d1b3a6860dad583","candidate_id":"sha256:ffa79ecd8a81e463b4d678467fafd8c0cde47dce801ffeb465fb900d5ff17908","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 = (9, 9, -7, 7, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4e328100064592118589dde425224d3bdb6348c37fdc365b55106319acd89316"},"incumbent_state_id":"sha256:4b169df4728536dd0d41b3213bf6df655b2f513cd79633ab8edc032a38b81eb6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 9, 6, 7, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5ea5cfd693fcc563c6eef4706e070632f1d14440075fea260b2978ba7027dedd","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000321"},{"accepted":{"artifact_digest":"sha256:01128cbf7b07d33beaa91c935c965e3e542dc397b38a628882b5117da7f27c14","candidate_id":"sha256:fd4760cd634937836432006f62c13f55c72af267776802b66b4a3c4257df8b6a","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 = (8, 9, -7, 7, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:7d14de174451b183bca661ab0a7ca9488a74e526d7d52851adaffe746914d82a"},"incumbent_state_id":"sha256:ffa79ecd8a81e463b4d678467fafd8c0cde47dce801ffeb465fb900d5ff17908","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 9, -7, 7, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a113dc13fdefdf8818c3793cd6595277e53840a51fa247929e9627d642beb7d2","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000321"}],"task_id":"vlr-formal-v2-0000321","trajectory_id":"vlr-formal-v2-0000321-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:13e33579f9bd02ff77f50944cf4c74a12c1c0df5b2ac7a9c791abdb08fef8356","sample_id":"sha256:58ab8a727636d6f076f1b09999b0038ace502a6c414a5cc80b11e0bc4ede9968","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4fed2ae862f07464ca721ffc83c9f2be7d294e315993f70f271f55e70f3d2749","candidate_id":"sha256:f66fe895570210bfa4adb299a665e81fcab1a08a34070b61300c853f61f8ddf8","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (2, 7, -3, -2, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0293caf78be2bd525a488d9cab332f57fa36d3e1a8e8a64522870d0cdb9339e8"},"incumbent_state_id":"sha256:030cf095db6fde0d371837ab395ef5812fd98a7782cd6c2d5d9995eb784a476e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (2, 7, -3, 2, -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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2c9555a5e64fdecb56eebdb6b118968c4310980d5ddf1964211d267e72ae277b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000322"},{"accepted":{"artifact_digest":"sha256:fa47ab540915a733f4061ad40af60634cf291a9352e4386d60e59f1a146fc871","candidate_id":"sha256:1e68ca3c029e64c99362797fc38113dc75a745d7774ac7b8a2a3b06e0fd464be","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, 7, -3, -2, -3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:ba01fe4e0c890f0fcf8c7dd746bd4fd1cead897b7d2609527b7b00c507610dc3"},"incumbent_state_id":"sha256:f66fe895570210bfa4adb299a665e81fcab1a08a34070b61300c853f61f8ddf8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (2, 7, -3, -2, -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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ce3a13443945be7445d07431ff735b122d2d0f110f3a003aa48a4128f7f04bfe","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000322"}],"task_id":"vlr-formal-v2-0000322","trajectory_id":"vlr-formal-v2-0000322-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:164b06a14e74f289c143419aa6dc4b4d53da1467e94b7c7cb8c7ab1d0798633c","sample_id":"sha256:3576cd68e3102c02fba9f9ec46167c4dcb0a1b488bdf2bdad2f59744fc5f5c03","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:2668d1f8ebf872774b102055945e17c2f299f3b0b38ace3edda3a29fa1b4f127","candidate_id":"sha256:6ed6db2b55e3d17b561088edea284aab440a0f9784ec7fd8eaeb72cc4397e429","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":[1,0,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 5, 3, 4, 6)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:693c15f78c01eade95e11ffa87f2932c457248ea615db77320d982cbc9dc908f"},"incumbent_state_id":"sha256:36e3df98db2bd8cea31c6f48e403ac63c3c19c91edaf4ab6cfbdc36b0d663419","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 5, 3, 9, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_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\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ac9378b1a781b1b269a5babe8fca564e49b5b7f5a011803793161fccdd1f18db","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000323"},{"accepted":{"artifact_digest":"sha256:8870703cb3e69aa14bea6541a6578101eca1b1019eb851d89719141e662499ee","candidate_id":"sha256:ba2cd63946e8fc6691839e2a3447a343425f16f223c96956ff65475b3b6575b7","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":[1,0,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (6, 5, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:79d269a2d222ea64c37fb5b4df6f50f98b0b24fffa5f5a23cfcbd864207c1a72"},"incumbent_state_id":"sha256:6ed6db2b55e3d17b561088edea284aab440a0f9784ec7fd8eaeb72cc4397e429","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 5, 3, 4, 6)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:257b3caa2d1735ccde74adc141cdc204f56c2cb7fc516ee8e7aa9dd283cf3d36","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000323"},{"accepted":{"artifact_digest":"sha256:76eba9901dcf364ba6ba073eae4a46c92def73b8087a3d60c541891b8bfa4afa","candidate_id":"sha256:745207bdfcc5189182ddcb0e9d5ea2e60f74f70f4549d4508bc717100d4a6aa6","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (3, 5, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d3037e296a9f8aa64523a6a09ff7ee0aed752ef76ab788d40bf157517ebf4bd3"},"incumbent_state_id":"sha256:ba2cd63946e8fc6691839e2a3447a343425f16f223c96956ff65475b3b6575b7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (6, 5, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c8435c10bb1946adeacc3d09d273d6dc2595cc05511bda723f656151c01bd764","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000323"},{"accepted":{"artifact_digest":"sha256:2d5ab4e71f0f81fd533dd7c1191f8628bf9cc38136fe10a39c2710878aa5f228","candidate_id":"sha256:648aae7eb481d5abe4692532dda7764b38fb8167e25dd1f76010cade679382ca","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 = (3, 7, 3, 4, 2)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:637482dc47f8415408c1250ea615a848a1dd31ad4d4333a04ec130dd9368db01"},"incumbent_state_id":"sha256:745207bdfcc5189182ddcb0e9d5ea2e60f74f70f4549d4508bc717100d4a6aa6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (3, 5, 3, 4, 2)\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_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b22be979c3323e8cbfacb095885c5d2ac10c2e10889e75cc2cabb5369752a30b","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000323"}],"task_id":"vlr-formal-v2-0000323","trajectory_id":"vlr-formal-v2-0000323-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:0f9af1d79f3ba0848a5fedbcb914673a215fbc6cb8616452473d0d6f3fbb7352","sample_id":"sha256:8c750e3add77c4d34e2626823498c126c6e38ec87dc71075fa48f74c3ae1a225","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:fbc8ef2bb1da5db0ad585ea781154632f295ff5d39f07bf4dc3de8664c937ad2","candidate_id":"sha256:ed627009bcaa3cd2962396c9560f1df94def5892a811a77a11e8b419ba31c83f","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (2, 5, 7, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:447fc19aa12b354bb1c62e301214439d28a1654051a0c6717422dfdadbe9e5cb"},"incumbent_state_id":"sha256:bc464c547fc10b5f038bdfc805bc0f270ae42278570572737013541666b73521","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 5, 7, 11)\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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3c2af6446f0c0d7ec8840c76563d4e1d96f945f7c26fec3a45c3aee9db70e0d6","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000324"},{"accepted":{"artifact_digest":"sha256:e09e462ad45be3fe7ae4d07caec41bbc3dd7c8f18991106a173942cba83323e1","candidate_id":"sha256:202878da3df4736d86e1afe99f5e6fc287d2f0f4ca411e158fe80d44c2f7b4a9","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 = (2, 9, 7, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:5c052e36398daae97763face9abe1d845eb8a593f0bb7231bab8dae30ecf33a8"},"incumbent_state_id":"sha256:ed627009bcaa3cd2962396c9560f1df94def5892a811a77a11e8b419ba31c83f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 5, 7, 15)\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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:222a544a42f70ae148c2821741aec66902118c89225475d5182be859bd089753","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000324"},{"accepted":{"artifact_digest":"sha256:3eeedc4b5fe460a49b7a885462aa8c14265f60d611f26f03aeb6fbb00eb6ac3c","candidate_id":"sha256:c0d4e34f70e1954fad4c6c0079190222dbb15ffad66e16b01b0c038b07e02679","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, 9, 7, 15)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4ad91d2fb83e51930d2fdb7ce9be1be16f6f4d30ed9107da93c224a7bc64e4f4"},"incumbent_state_id":"sha256:202878da3df4736d86e1afe99f5e6fc287d2f0f4ca411e158fe80d44c2f7b4a9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 3, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 9, 7, 15)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3768f83de7af7c99e5f36b8d7d759f4ab72e660edf63d11899e483aa653a1ade","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000324"}],"task_id":"vlr-formal-v2-0000324","trajectory_id":"vlr-formal-v2-0000324-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:a437bcf0fd29d6986b57bd101e2e0a66ff409d0dc4acfbf977ee2d20c9457c68","sample_id":"sha256:7f2ddf1a29163291faff5429095d84bb7d1475ba82f6b7ef6fdf0aecbf18b4e3","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:19c3d6a9d660afcdaf4b1d9027e6578849eb89116d84538074225246260a2e78","candidate_id":"sha256:519f3f7483fb2f70a69fc4572e4cbb7c95c09990973b34526d217590ac67a663","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":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 6, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3a3970f7341c31f998aacd4fd3dfdea1b09dece038c0afda06fa5154724b45c2"},"incumbent_state_id":"sha256:c540cf2e7a93e3306edfa688783684e1992e7559dbcb91c71c674b0a08ad9663","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 2, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9874e89edb2690e84e69a85c3c037e134a11757495aa5ea7ecbc764988e302c8","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000325"},{"accepted":{"artifact_digest":"sha256:849ed1e8251bde409156c2df5447c68ad88616a9645752db8ed0b656f690ac4b","candidate_id":"sha256:a58b1373966ee0d501cfd2c5abfbdc5429fcf68a2f1d27b11470df34a0fbd0a3","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 6, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:5aa024bdf522537ef90f949b25cb6c5751e6541babe21620c34b054e49736d12"},"incumbent_state_id":"sha256:519f3f7483fb2f70a69fc4572e4cbb7c95c09990973b34526d217590ac67a663","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 2, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:72b44fbadb4385c1df9d294c666a3c8a072768d62f7feec1613d99780ad0e421","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000325"},{"accepted":{"artifact_digest":"sha256:c923826c6191fee7ed95488a50253d78bd86258c4f9e7cac1e7b2cfe37126d37","candidate_id":"sha256:67f0e464edb0ffcd6623f9db43d7acf8ecfee860f892c4201794cd146282577f","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 4, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:bdda1d8432091322ce0323892f62ae195c2547787e554be7d9cb9caa0e715b71"},"incumbent_state_id":"sha256:a58b1373966ee0d501cfd2c5abfbdc5429fcf68a2f1d27b11470df34a0fbd0a3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 1, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:20ff2539247091accd5cdb9a59edbeef7dd7c06c9ed006f1a9dd599f3996bfd6","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000325"},{"accepted":{"artifact_digest":"sha256:eaeef99dd73ca0ed2a4325232f80d887ab4e1c8050cdd8e0626621c7aa5fe6be","candidate_id":"sha256:0b5ab806012092b47bc732fcbe6cce2e731071a3a67fef1825c9e4d3f94889f2","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, 4, 1, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:e40fee05b743c52c3c53cca4c5a6fec1610a625405a98e387014e59d86fcba99"},"incumbent_state_id":"sha256:67f0e464edb0ffcd6623f9db43d7acf8ecfee860f892c4201794cd146282577f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 5}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 4, 1, 2)\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_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:963a683d9e399e8d75b7ce8a09c3f3988b91b94d87a31ea7901999f7fb7432c9","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000325"}],"task_id":"vlr-formal-v2-0000325","trajectory_id":"vlr-formal-v2-0000325-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:01beb0f7690271e37a6435b0847c6c9adf6d6154694768dd8f7d3ae3555628e3","sample_id":"sha256:15d64396ee872650ef3b02339b42ebaa39f6489a838e44d7e6aff5537baf3caf","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:fcc6f3c1ea3cb8aab9d21050661d17adb63975cbaec5bd733f0ba7f3cc662457","candidate_id":"sha256:0667dd848f7aadbc057cfba8dbd335dd44835f226134b35ce7354e8c3428a28e","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 = (8, 5, -5, -4, -1, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0f15b2c1e5b503037b6ed48abbdfbc02bdff5d60117b43660035f57a673156ec"},"incumbent_state_id":"sha256:81a42d98ce0952b531b0ad86af8dc7b80b669e1512d9b2cb7f0e71ba59ec40d9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, -5, -4, -1, -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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9e06457214a37265a1500f665b3442f80dd70014f95a989e4c0ba9c9c0a460a2","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000326"},{"accepted":{"artifact_digest":"sha256:5ec23fa79b38d9784572032f2d32a1681ab90fdade3aa45fbbfe0026c641533d","candidate_id":"sha256:09fde4ae00f24b5de007070db8fff5e2cee22276fe30742efc13c01ea90950a4","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (8, 5, -5, -4, 2, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c771278b4d5f20f39b833e7cfbadbba3ace26fd010da4da7106b89f9be9a69f4"},"incumbent_state_id":"sha256:0667dd848f7aadbc057cfba8dbd335dd44835f226134b35ce7354e8c3428a28e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, -5, -4, -1, 7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:01eb7d20e574a77c658d10c8f56599bedd130231330c9c1f64ecb4c7654058b3","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000326"},{"accepted":{"artifact_digest":"sha256:5ced4e6c568f9519397e6682195a4d5960543a36e25d7ab50a356d6a1f7b7c3f","candidate_id":"sha256:fdb5df03ce8ac7739cdfb663f551b23f6fe97959bc3fceaeffd982fd679cd5ad","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, -1, -5, -4, 2, 7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d98e9954a1e1cb7069a0a1fe1647bf615d499420beed12d978c160a3dc9f885e"},"incumbent_state_id":"sha256:09fde4ae00f24b5de007070db8fff5e2cee22276fe30742efc13c01ea90950a4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 12}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 5, -5, -4, 2, 7)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cc79cc540215218aba8122925755ad7899ffe7592876ffd5365454c07c59bd37","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000326"}],"task_id":"vlr-formal-v2-0000326","trajectory_id":"vlr-formal-v2-0000326-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:b0ca9d8d88a8be3898b0d396843b6a56e670bb9d5d48da1cf716da43e62d0731","sample_id":"sha256:dc1342f652604b66e0fcec4072ba3afc398aef8e1145bb743031474a1cf88c97","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:2d39ba78d0920b81bedcba12b5e14c2b6920a0d024b57add172c56faf34e7761","candidate_id":"sha256:5da1cc3da32fbb2d4bcad5add1e5a322cf06980e9b4eb429e807e0cd0db19386","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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -1, 3, -7, 1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:e5f49d566c8cad46843aa6d6c041d4505b9b1e92ff088e771ca63cf27b1cfbca"},"incumbent_state_id":"sha256:ad4bd8b3b38a013d49cca27b17cdb406ec9bffb78da1465c0ffd5f90b5aed782","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 1}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 8, 3, -7, 1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d62f7ae91161c77a14850a57a0fab43f526eb90a53ac527138b1f4dff32c911d","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000327"},{"accepted":{"artifact_digest":"sha256:8d5a2284ae98dc0fad721f6b7c68ed2fc25d5daef96ab5421e5a7867403c9503","candidate_id":"sha256:444ae4433d14c4f544936918039f5114272e6fc6ca78964c48a0e3ae59c1974c","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 = (3, -1, 3, -7, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:e11f8eb93d5f13d6623c25f4a133bc9658ee88750399acb6fba11d9a557fcfbe"},"incumbent_state_id":"sha256:5da1cc3da32fbb2d4bcad5add1e5a322cf06980e9b4eb429e807e0cd0db19386","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 1}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -1, 3, -7, 1)\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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4d60c9eeb94b14e05298730974be1d4c89eeb03b773762167b13e989bb1db871","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000327"},{"accepted":{"artifact_digest":"sha256:ee7e35ca16a23493bd8da7071860f43e6f82e4c23389a73d258b353c28bcb2c1","candidate_id":"sha256:7e13f2e5ed537d19c964d2e8b9117e834404f00dbfb691033d1c3b42e3950b76","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, -1, 7, -7, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ce4a4cf15e208c466ee3c636eff4317de8c89ac5e1a3111c13c19d7c743d46cb"},"incumbent_state_id":"sha256:444ae4433d14c4f544936918039f5114272e6fc6ca78964c48a0e3ae59c1974c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 1}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -1, 3, -7, -4)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"signed_bucket.protected.case_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:2b053dfb148b3174ec92908465723d33611304f9c787262edc032c23ebd65208","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000327"},{"accepted":{"artifact_digest":"sha256:442a7d2d8ae4dec0b6fd98a4038946cff24edb5cff3d794fe0109850af0a9f91","candidate_id":"sha256:55e641a49f91b58a25617b42eb47a5e2fe5521b7406c6f13c081f630949aeb76","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 = (0, -1, 7, -7, -4)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:6e1a7a06bf979eaea651d7d23e045c49a92b64b10fc6548dd3d16997ab33dc45"},"incumbent_state_id":"sha256:7e13f2e5ed537d19c964d2e8b9117e834404f00dbfb691033d1c3b42e3950b76","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 1}, {\"input\": 4, \"output\": 11}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, -1, 7, -7, -4)\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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fed6932bc181145992561943b951049b1066e9d0b9f0d870c461cf27c048262c","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000327"}],"task_id":"vlr-formal-v2-0000327","trajectory_id":"vlr-formal-v2-0000327-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:4e5ab3388900da3ea8de4197be306b070302557b94827297946e703f3f13f301","sample_id":"sha256:8148147be392a21c2e73c9e46cb1098d9c6cb802ab73741b87815f0f331fb47a","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:0ef7528a4bc25215e6f89fbcc645835beb87886ca90bba90683812ab79814c1a","candidate_id":"sha256:7b5e14ff271160c94a1e3c4dfe079a4477e47006c3602b6b826cd1cc549e6bb7","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":[1,1,1,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-9)\n    return x + (9)\n","verification_digest":"sha256:efd8e016c0beb86513ce10527230dabbeeea7cd70a2f0c48f933f9cd278def01"},"incumbent_state_id":"sha256:f66860402b86daf32deb7afdcd576c939742f9504ab8492b902210411348338e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -18}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 31}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-4)\n    return x + (9)\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:371b23ee4499980e7aa23dbd94399f5a59a78e8165467ba85f33fa7b2a069d99","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000330"},{"accepted":{"artifact_digest":"sha256:fc5a01079d99d0fb5aee67e3b2a212d42692bcec3a7f1999c2451a8fa05407ca","candidate_id":"sha256:ec010ec96262076359d9a2af1835998b111e522fdfff11f84cae4e3e957977ab","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":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-9)\n    return x + (9)\n","verification_digest":"sha256:3f9c0a8e3c14c8410e2bba98e292491e7b78c5816f2f8a57b92ffda7343f33b2"},"incumbent_state_id":"sha256:7b5e14ff271160c94a1e3c4dfe079a4477e47006c3602b6b826cd1cc549e6bb7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -18}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 31}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-9)\n    if x < 6: return x + (-9)\n    return x + (9)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:386685c82bc67c65735fe32ed02d0c8c1f6f11757266fcfcaf741f09d3f02f89","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000330"},{"accepted":{"artifact_digest":"sha256:a61f81bf84e3ee259c9f44bd723a3d9b069e6b900e20d7d63dd4c307471a1425","candidate_id":"sha256:9b8f07b07837b62ec69c50a130e6795ec87d989675085681c51e50e23530ea76","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-9)\n    return x + (4)\n","verification_digest":"sha256:464e9f40cea3c6aab1d97942fd6da56900e6b9c708c53599b3c08a8df561b0c7"},"incumbent_state_id":"sha256:ec010ec96262076359d9a2af1835998b111e522fdfff11f84cae4e3e957977ab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -18}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 31}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-9)\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_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4500d4dbb4e9debc90c9b80ddd7d126aed98cfe9637cb5475bf0988788777ab8","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000330"},{"accepted":{"artifact_digest":"sha256:2d4b217e90244b6f282ee676c1a4da6c88a70d9ea5cbd7ef64483027e9f128d4","candidate_id":"sha256:94a2590ddd6daa85c427e3c7cede7b91f030fac2d1a84e7fbd7bb0e6af657f38","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 + (9)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-9)\n    return x + (4)\n","verification_digest":"sha256:a71dc29c0f8cee1d37880fd51946280209e79c9024a3939ff84f1d1273c08446"},"incumbent_state_id":"sha256:9b8f07b07837b62ec69c50a130e6795ec87d989675085681c51e50e23530ea76","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -18}, {\"input\": -3, \"output\": -7}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 31}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-1)\n    if x < 0: return x + (-4)\n    if x < 6: return x + (-9)\n    return x + (4)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8213e2eb11936f93a0215fa7bd58bb4de4978691ae3405eb2819ece97fe2dab9","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000330"}],"task_id":"vlr-formal-v2-0000330","trajectory_id":"vlr-formal-v2-0000330-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:c39c81bd494df6dd7fa23276d9b854245b79429404d2f9e5675dfa5c973c8203","sample_id":"sha256:26d778145ed079a1ee415ef2c7f1095c81853a3a92de10be6633d9708250ca2c","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:8b3f6f2bb7ef4d26d4911502e820139bb9e536f27e3734b5aaf946ffeb7b15b3","candidate_id":"sha256:c90af9632ff40c6067a8c5e4b188a9fc96f32b625561f848a7a2cd2082fd3a8c","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, 9, -1, -8, -7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d74b51ec3ace112a665d45d591f7bd79bbc73ed512c7ec25c0cc44e721a07f55"},"incumbent_state_id":"sha256:e90f770183534d1168f04ada8145a8610852585b5739c3572b302457ea8f88b6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 9, -1, -8, -7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8c3bb2a46ee40c1ed5ca3a2fbfe771c93482b4a0da23dea45d36d6a56819f2e7","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000331"},{"accepted":{"artifact_digest":"sha256:a1f42e95bef527afb6b8858618f60918ccd0d7169ae4da8c2391ced887c0a592","candidate_id":"sha256:110616df73b9013115f60e2d3497916ff3728aa66d3f2f7eaddeeb3bacb049c5","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, 6, -1, -8, -7)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:1d247b1f3e9aa7e14b6ca65df984530774340afcadc55d6413294687945927f4"},"incumbent_state_id":"sha256:c90af9632ff40c6067a8c5e4b188a9fc96f32b625561f848a7a2cd2082fd3a8c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 9, -1, -8, -7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e7ac5beb8ec0acc6822316475c28a66b4403d231e0a7db5d190890ff8bc4c4d2","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000331"},{"accepted":{"artifact_digest":"sha256:af9d7a8815511a31220ea7fa28b17fa418ecea168acd1af7eefd5e42b84e7b59","candidate_id":"sha256:d6a425b9685df6c282c417c84f3a7cdf1ce4f6e24cded4fdd3bc13d52d9a34dc","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, 6, -1, -8, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:8f008ebb38a117f70c960557c2dd42903b2233845c61a716440ca50f3e1641ce"},"incumbent_state_id":"sha256:110616df73b9013115f60e2d3497916ff3728aa66d3f2f7eaddeeb3bacb049c5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 6, -1, -8, -7)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:acc8a292cc7804a0c066958e0f315ea65797a73074e0d0b46a91e7fbd4f1e347","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000331"},{"accepted":{"artifact_digest":"sha256:540dccc22557c68a38f9c4eaf98ef54c682dc11afefb02c6637d03f1707f00ed","candidate_id":"sha256:9b9eea824f1a90afb12df6f270bf66197202255cda88a650bafe28c51b399c34","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (9, 6, -1, 5, -6)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:27d2b56bc87995a0606837177f071bb6632861932e26df07b351ecef9524652b"},"incumbent_state_id":"sha256:d6a425b9685df6c282c417c84f3a7cdf1ce4f6e24cded4fdd3bc13d52d9a34dc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (9, 6, -1, -8, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f5c12c215b0b474fc441dcdf1821d72e2f40f71a3f88b565d7a692b26c1a2814","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000331"}],"task_id":"vlr-formal-v2-0000331","trajectory_id":"vlr-formal-v2-0000331-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:11edbdabd8655ca95f3beb5daf5d32d99a3b9fab783f265ace294b246defa9b1","sample_id":"sha256:55998198846117838843facd69076b8b0b9bd18cce6f64b2750c094b0e829bd7","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:61b49e0cd6d7d8a873286bb28f6c22c020a345532321f9482cb1c9b7b21bee72","candidate_id":"sha256:e16406708c4ed56e56247f1770a3fbd72ad7a7ad568991d483e30b774ee558ab","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 = (6, -3, -1, 5, 1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a7664e565aadaa381d2821d1c8c40c0cb915d125fe0d1259b564788e21cb03bf"},"incumbent_state_id":"sha256:ebc6178606d2ea7526fe8bcbec3481e8a7daeae1735c3b5a744c978ad65d04e0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, 7, -1, 5, 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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a74d78611929595ec336861d82c8e8a8801407e2e0ecf456ac44f54e9c69fcf0","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000332"},{"accepted":{"artifact_digest":"sha256:2afdb66fe989ff1dd542f141de6276e7b2af5f07bd4284a8cafebd64b4f992f2","candidate_id":"sha256:c33e6f2713fbac0d6d7e63485d090f9982599060ddef55bda0551b0e7c88c745","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, -3, -1, 5, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:288a470c0af68299ebc2191a128a8a26b5dc20b46ef42c94ca2dc2992e31d510"},"incumbent_state_id":"sha256:e16406708c4ed56e56247f1770a3fbd72ad7a7ad568991d483e30b774ee558ab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, -3, -1, 5, 1)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5d3849780682bab3caec7ad111ec986bc5ecce836e2c50d7d4c7cd64ae596687","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000332"}],"task_id":"vlr-formal-v2-0000332","trajectory_id":"vlr-formal-v2-0000332-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:4bd0e6861db930c6390518e2b3528e27f92da3187213f2ab4329ae75e176f9b2","sample_id":"sha256:8fd45747bf2157cb3c2335a5647ba3e522da35c5f55b5dfed4fda8ddaa110d09","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:339c277da30f3457af89653dc62d9e703e6a8581ed7b34e84b148ef337921791","candidate_id":"sha256:cc04f8419b9024164d67021d4ac84341fbad86c553cf03bee9b05b9bc60d4840","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (8, 7, 2, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:1c8d2520c1afad58f285330607bf39b1b5a9fd7b197d2bbb3eda2884459f3a31"},"incumbent_state_id":"sha256:6e502457250fc228edd4af675ff70ecce5986667db1e69419e6606734bba22d4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (1, 7, 2, 3, 1)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d96fecd71b28cad183e4c378eb1e77f7f2b2345f1958ea53dce3ddf9fcb54c89","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000333"},{"accepted":{"artifact_digest":"sha256:484a5eabe9b8ec7caa51e3a99d69dd6f17b60d0d7a9382a2ba6f42336490057e","candidate_id":"sha256:ba81c7b88ae69a9276da2983a83df40adae22639382115ad56aa76e9ccbce848","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 = (8, 3, 2, 3, 1)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:03bfdae890ae6cb3d7aa2550409740f13c57e6c361e51d8b0832483d81bbe660"},"incumbent_state_id":"sha256:cc04f8419b9024164d67021d4ac84341fbad86c553cf03bee9b05b9bc60d4840","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (8, 7, 2, 3, 1)\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_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a20c87357916ddd9a2cc4641685de93e6932876c732c9fde86e011925867e44b","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000333"}],"task_id":"vlr-formal-v2-0000333","trajectory_id":"vlr-formal-v2-0000333-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:7933cbc8c85b8f98c9525e4c6c4a6bfacb649f57fdb0ac2b46cbdcdb471abc90","sample_id":"sha256:46315c8949927c198c4a78e2d8037d7bc0c142057ba7cae57599494cf701f5e2","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:9e61b6279d872ac9ed332ee78f285cd2d23d2ed4b8021bbc95fefb0b8ce05902","candidate_id":"sha256:5e8266656cae1c20b0d32e7c9f05e41e7dff986c21ecbc983632c90534fa08e8","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (15, 3, 2, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:cecdd9d8734487e18f6f1acb29d8154d2e0889e71ac3b723ddcc1472b20596d9"},"incumbent_state_id":"sha256:a34a3c1b2f61d2311ce2c66c570698ccf9f38950d59f3f8b9457d2011b50c9b7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 3, 2, 10)\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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c937f63198899d9b590806d6447e43c48b27acf1c1a34abeed7301c274c5693f","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000334"},{"accepted":{"artifact_digest":"sha256:a6848e81eb2e968aed982b657241a99e28f1e06f44d7848b2feb1c018352f606","candidate_id":"sha256:9372eab7d5b7b608c396292609d4f6832d1dde4d64ff0a29038d423468372422","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 = (15, 6, 2, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ca34ebc7dee30abbf23298c9efcee6f61956f302b0c509bc6692c0e8411b550e"},"incumbent_state_id":"sha256:5e8266656cae1c20b0d32e7c9f05e41e7dff986c21ecbc983632c90534fa08e8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 3, 2, 6)\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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5264a5ba936c976caaa1f84044ddb7939a317ba86cfc6aa698be192b883ce7e5","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000334"},{"accepted":{"artifact_digest":"sha256:9f46dcd9f7b03fa47855d84a8531fda396a1591c234e236a289cd030829d1c54","candidate_id":"sha256:136dd16c24bd72fddb0fab1e1ad6f241876a163e8cbb5ab5eb9fb4e63ca25d83","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, 6, 2, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:c6c9b4d4b81f4997adf4a572a9222f8646eb06a3b9772111223268ed24e2be19"},"incumbent_state_id":"sha256:9372eab7d5b7b608c396292609d4f6832d1dde4d64ff0a29038d423468372422","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (15, 6, 2, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f1fb82153cc5ecb8014a51cd84293677dd8f7d87b3d0f585641d51d2c0387b93","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000334"}],"task_id":"vlr-formal-v2-0000334","trajectory_id":"vlr-formal-v2-0000334-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:e33288137d172691f3d41826ec2b6e1f5dd67fe9c7c2d71923f438bdc354fb5e","sample_id":"sha256:ad48e28e0aca18bfd391a0c8f2971d7356a1af7f2c43e5ad66371da8d16f0c26","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e64910327fab465e46ce2ee107439379d8623ffcca70779440647f7044c704ae","candidate_id":"sha256:0c16820d801fc1819ad6baa35c4bd473fc90f529501fd176f40a1e24aa18f1ac","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":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 1, 1, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:04cfb181d9d0bd3ea8c835611c7883a25f8a48f1d20104472e2e8e145fcf278c"},"incumbent_state_id":"sha256:912374e76ff57780a0ab77bcc279d23d0a1eb238479399b712d0100e1cb530db","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 1, 1, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b83aae9ca95dfa7eee79031a809279aef5ecafe6130e0817f20ee7cff29d3c2b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000335"},{"accepted":{"artifact_digest":"sha256:3d7ab3bfb54a4aa169391c5320ac26da5bef21f42811678a82fd2d2a99256282","candidate_id":"sha256:b96407e26cf444f0e57a9ff1fddde8450a2a3db9f3c86d00bff8de7a65e96860","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (4, 1, 1, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:65641f74858144a01a4623be155bbde947b9a85cb5e765bb27b113f06a01b644"},"incumbent_state_id":"sha256:0c16820d801fc1819ad6baa35c4bd473fc90f529501fd176f40a1e24aa18f1ac","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 1, 1, 5)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ac091b0ee1a5ce4220eb7638379fb2109a8ef6a6aca9164af9ad9917ce8375bd","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000335"},{"accepted":{"artifact_digest":"sha256:f2fbfad27a0f79d290656749a30f28d735459492fe37702a699460ef0d120545","candidate_id":"sha256:3c635f42c5f234c818e38de23c13ee5b04986961b9f60fbe2e910ba742805323","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 = (4, 6, 1, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dc239651001f930217088939c1b9e0c3b409fd344ba51b28b33b5fb300319447"},"incumbent_state_id":"sha256:b96407e26cf444f0e57a9ff1fddde8450a2a3db9f3c86d00bff8de7a65e96860","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 1, 1, 1)\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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e8ef6993ac28a24ca46452a5dab89b44fff37a938164567bd5f3d30caaf3c4bb","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000335"},{"accepted":{"artifact_digest":"sha256:2c46892e9c59845d45c364b6f56d7785237889cca9c74910012a479a7f121f3d","candidate_id":"sha256:d755687840b02dda68f0291e7753c62f062249bab49729358b9bcba30526be6d","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 = (4, 6, 6, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:c78d53492619658cce21a84b4a75e291b82dfe80c729cc8c0167802a51c6f4f6"},"incumbent_state_id":"sha256:3c635f42c5f234c818e38de23c13ee5b04986961b9f60fbe2e910ba742805323","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (4, 6, 1, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0fe4bd50092de9bf6532992b32470914c4beb1222361a79a9c44b07ea6e961eb","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000335"}],"task_id":"vlr-formal-v2-0000335","trajectory_id":"vlr-formal-v2-0000335-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:08729f1b0b0add969e2303ba42b0a49435d65c3dd5b6c6458e5046d3d7a7a0f2","sample_id":"sha256:a1d6974cb28478d60d41841f8d79c1b252c444c23020d1a6df092438ccf97a7a","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:d6787e1f78311fe62b9619bb1adeceb94cdb9567c6dbe537c37542b16c7df33e","candidate_id":"sha256:03ddd0d28eebe3ca10ca345409161b09b7ad0289101c3c82b68061b7d38ed90d","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 = (-1, 0, 6, -2, -4, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:badafa8625f4a8d40910ef23c80ba5f0da3ad8aa07e14acc58feec45cd5e3744"},"incumbent_state_id":"sha256:53fba2f2e273bd6625c5b470fdb4763d3ca72f518cab91a52c31dd4732c440b7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 1}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 0, 6, -2, -5, -7)\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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9c74bb07fb63ac156d87852d4af6282703e8571d4ec0b76236858b783f5d399d","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000336"},{"accepted":{"artifact_digest":"sha256:b005a2619709c63ae43f0d0e33c48e64332dff526cdb66009dc0627d47f5ade8","candidate_id":"sha256:6e767e74ec1b592f49d0eefa227dd3696d1dad7d261ed3f1526a17eaf1b85dc8","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, 0, 6, -2, -4, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:cdede52a20c8aea3f556bd38fbed0a2f23232a58a209333d00b040f43294eecb"},"incumbent_state_id":"sha256:03ddd0d28eebe3ca10ca345409161b09b7ad0289101c3c82b68061b7d38ed90d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 1}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 1}, {\"input\": 4, \"output\": 0}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-1, 0, 6, -2, -4, -7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a7e5784eb81d2d9cad9a8dad53fa6ed9d9afb6913476eea2207d489aa2870677","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000336"}],"task_id":"vlr-formal-v2-0000336","trajectory_id":"vlr-formal-v2-0000336-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:04df9f5a226e4b53ac7320c4ccfa71db716243d682b130e503805faae5bded21","sample_id":"sha256:32157931c347fe386989c6dd93f076b514d6f6c5df21287aaad5d2cda76df2f4","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4681ad44724a5bd6d5a473c59d75edd42778bb31f2dd89fc6ce71a2d87917008","candidate_id":"sha256:8a782b923d0b02548307f98012b92262516a5fc31d8d2af93716a3c86917e103","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (7, -2, 2, 7, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:fc67f86e5b842a6a3a67d84b44f7866298904474497edaa652e0db7f3cf67e91"},"incumbent_state_id":"sha256:636a2dae5141070c54fc4909064dd4073b3106701c13cb44fa32cc4873d26518","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 0}, {\"input\": 4, \"output\": 6}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -2, 0, 7, 2)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:463ceca3eea98f4d527274894f877195facfd963769c5cd7d1cabc9e7eb5aee5","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000337"},{"accepted":{"artifact_digest":"sha256:ebe73aa5ecb01da7c8185e614628cbac96d936c07a6f531c9ea62cc931a14242","candidate_id":"sha256:03a251efc1cd03b8945f30ae8144c7007b14355e1edfcbc666c8faeb6d5f4111","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 = (7, -2, 2, 6, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:42186b4a8d68f94e268901da714a4217c420f803d8a13ec0ce3df66f3361c2a1"},"incumbent_state_id":"sha256:8a782b923d0b02548307f98012b92262516a5fc31d8d2af93716a3c86917e103","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 0}, {\"input\": 4, \"output\": 6}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (7, -2, 2, 7, 2)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7fdf5dc934e6e28b939a3835187ee57009e75e9186b1d4d3f0927c87863f32e9","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000337"}],"task_id":"vlr-formal-v2-0000337","trajectory_id":"vlr-formal-v2-0000337-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:ab0c79011197c20a22593374159bb1d30326ab2075322f0587aa80f25aa5ce66","sample_id":"sha256:8254a6fb27abf0d385a7248bc5382391cc749ada7d2a2b445d6d1aadb521325e","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:452520c73c8222ee68cf79d236019dce913749e139b0c4ec9d325077a196d0b2","candidate_id":"sha256:7015d84986101f5427d164f1cbc3134fef0add8c13f75ac68bd0b9738d521d83","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 + (7)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (2)\n    return x + (1)\n","verification_digest":"sha256:5f54cd5796990dbf8534200e6046d9479b2b6dcc4a7be36a0f8445ddcf7a5b6b"},"incumbent_state_id":"sha256:26aa77a58cdf1a7994b2d29be18f7b9a8553cd9de4216a0739d23075c1ff6a2d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -20}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (7)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (2)\n    return x + (-4)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f89cc486a6556fd8c9508edb799e1800fd5c0bea79b52f643831af53ac2111c6","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000340"},{"accepted":{"artifact_digest":"sha256:5e987b30e1a89fa4fdf1aaa6c2d30da65bda18f852ac307310c14faa219e2900","candidate_id":"sha256:673765cf446e1650c5c4b0cce896b565ddf7bc1c2cf367698d4d5f4ddfed588e","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 + (7)\n    if x < 0: return x + (-3)\n    if x < 6: return x + (2)\n    return x + (1)\n","verification_digest":"sha256:4bd34cee331d20fd0536429a888756e27523b275cab7972f3ec0ae405dd8c409"},"incumbent_state_id":"sha256:7015d84986101f5427d164f1cbc3134fef0add8c13f75ac68bd0b9738d521d83","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -20}, {\"input\": -3, \"output\": -6}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 28}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (7)\n    if x < 0: return x + (-6)\n    if x < 6: return x + (2)\n    return x + (1)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c902f5744e2e48b05536429a438d5f06cde7d64399a8fb5810d691217d8764c7","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000340"}],"task_id":"vlr-formal-v2-0000340","trajectory_id":"vlr-formal-v2-0000340-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:09f958104d517682d475dc6280acba9692068730bd7a81a0b545ebd3a8362fba","sample_id":"sha256:db2bfcfb84d515531048cbd6f65764d938cc9578d09688511c41db8fb7c2ef06","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:d9c8221427ab0c01ca32c39f904e0e06ebd505c746521af2152ae25ac7810e98","candidate_id":"sha256:48570aed199ac8729b69b5ef47c8d62e84ae80f1c2640880a7d4f4048580e040","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, 5, -1, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:f546c129c965cd38842364021edeb9b8ed03623347c20918df879956c50fe996"},"incumbent_state_id":"sha256:6b64dcdbe041bff0cb1b7f90dbccb8f5d9232fab51f34ce4df298a93ac9eb7ee","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-2, -7, 5, -4, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ed7b53c5e50b6ce7884f83e19862d91f4b4110bb3ee561c7f87030881cabb299","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000341"},{"accepted":{"artifact_digest":"sha256:33b4357213e73c4cbc3f1739bf6c95ea8c3698c594fce5eb3809517b62b7bbfd","candidate_id":"sha256:0e2b18e13e97f3c6a9af685e61d9c5b332f944014e7cd25315af07badccfc199","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":[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-2, 8, 5, -1, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:06d27a15b56ac812bc587e1048624014549b0f91396b3e2bdaec3bd3634c2348"},"incumbent_state_id":"sha256:48570aed199ac8729b69b5ef47c8d62e84ae80f1c2640880a7d4f4048580e040","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-2, -7, 5, -1, -9)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9e92c9f1949ed2144029ab2e3b2c7d3599f68bbca6d64b2f7cb396eb4b8ed21a","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000341"},{"accepted":{"artifact_digest":"sha256:c0f4a488b94e82a9ff934c4b44cf994af9d88e332fcdd54a78db0810c7e60cc4","candidate_id":"sha256:377d3008bb5a4ae6a31de14a4d3c6c37bfbabb71804b919fd558521d160b62ca","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 8, 5, -1, -9)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:4bde396a7e354543e6499d3393c1671190c054fd166b78e3ef93a9d02c7a5d28"},"incumbent_state_id":"sha256:0e2b18e13e97f3c6a9af685e61d9c5b332f944014e7cd25315af07badccfc199","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-2, 8, 5, -1, -9)\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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:da04036982d51e42601b9441dd60740e070e0c4ca3153ce1dbd3ebb3d979458b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000341"},{"accepted":{"artifact_digest":"sha256:6d4df29b1d750f66b7d3a9a35cbd08f1bb88a7f5b288d5bbaf05cdf47bb5c048","candidate_id":"sha256:8bb61fee88f1548a515bba3148bb8a138783e581965e07ec7772a2b57b83cd48","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 8, 5, -1, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:17b5a5a89dd0a11489c3903db43ddd5923b731cd0220131dda3205b3c97b1ad2"},"incumbent_state_id":"sha256:377d3008bb5a4ae6a31de14a4d3c6c37bfbabb71804b919fd558521d160b62ca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 8, 5, -1, -9)\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_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6cde4f5cb20d79808bbb6bb0db12c910e0aa84e292af0aa0f6b0c60a026edcdc","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000341"},{"accepted":{"artifact_digest":"sha256:705725ccd0ac098b72d1683da986f74e28e3ed2e8285f52b877dcb4598a80e95","candidate_id":"sha256:1bb7a5ef3ed9da7227e0be9b6fd68b7b4b8e4bcd2e1e4fc8b010e7c181b1f163","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 8, -6, -1, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:6d2061b5d03d0cb9e670bf7a6871b1336175ade075a392bc53761280026ed113"},"incumbent_state_id":"sha256:8bb61fee88f1548a515bba3148bb8a138783e581965e07ec7772a2b57b83cd48","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 8, 5, -1, -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_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:16a77bb809d3668f0ee0dd770aead371d43ba5b563351ab817cf885d33c387f9","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000341"}],"task_id":"vlr-formal-v2-0000341","trajectory_id":"vlr-formal-v2-0000341-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:8e10022196bcb90900a8232fc4c0902851d3a238019c0fbcd18002985bd1be55","sample_id":"sha256:9f11b3e80ef259f7fd548dcc661e3ec6149b9179951ec1f840c736d50ecee112","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:34c69017d0674c88a1379ebaf832efdd5ea709fbbddc14560f024311ab8d58b5","candidate_id":"sha256:6c1724f54fa891619e22da23a1aa899dbc03d676f3e28ff95997e189bfa65247","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-6, -2, 6, 0, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f33b304362758370a0a37be4fe150ee1267b68824b0efb925d94ff26067521be"},"incumbent_state_id":"sha256:d2852827f1fd137f3ca6df23da9ce13487bcffd82d3f6b826cba4268c73f44a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -3, 6, 0, -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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:acb30a481d39959c2c84f7a8ec8ef6aefa76544b3f1116e0d13e55760f728483","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000342"},{"accepted":{"artifact_digest":"sha256:ef31e56282bb654618a3e0d495527f3ddb9b8bca632227866bc5118f9d7cdaf4","candidate_id":"sha256:94b3c832b3eb31cf858f63eba8fec68e39189146b6d727194eade33e4174624a","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, 6, 2, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0379800589c0dfe093a663811a273e1e8f33592fe70d498ba6ea43def14466da"},"incumbent_state_id":"sha256:6c1724f54fa891619e22da23a1aa899dbc03d676f3e28ff95997e189bfa65247","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -2, 6, 0, -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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5b2b8ffde11d37f5016bfba6a6e7dc7a50aa8d80de4b31bf337e4ed666140b57","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000342"}],"task_id":"vlr-formal-v2-0000342","trajectory_id":"vlr-formal-v2-0000342-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:94b9f2b218717f93470920e0db4a9903a89de7ae9779bd684670f8127a67654c","sample_id":"sha256:0ca6638485a0c5b0be3928f6160447c749e6c3df99f32135adb85ceb3610f477","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:dbe98a74053dfa158d2eff32ff4e428138170bde6da5d87fd56013901e8df24c","candidate_id":"sha256:0bdc77dbc9072fbc022a734db4acd9b63ee62fc6c63f73a3245fa7a1a3530e7c","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":[1,0,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 3, 9, 1, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:069b8edc15eb303f8fc77fa8af2413971ba269d34422819f0143b68f7208e311"},"incumbent_state_id":"sha256:e73cdb2876bff9ff36431347771c45b833a2ac8317b22c7dcfee29a18fa53af8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 3, 9, 1, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ec42d73f26050e26048f5a3e1069d63dd6fdb91d4e89505d262949774a8e678c","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000343"},{"accepted":{"artifact_digest":"sha256:a9396d6c3a2b64b931de57ebe7f29594c7d9a0e1b265904ab913b54840b7d397","candidate_id":"sha256:42f79e77dd53e384464c64d473ebe5b288efad43e82791c7b80960ecf30bae02","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":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (4, 3, 6, 1, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a568be000050570d0561acb305d03c1c3535359cc4124ba5952fd3e07c33c6a3"},"incumbent_state_id":"sha256:0bdc77dbc9072fbc022a734db4acd9b63ee62fc6c63f73a3245fa7a1a3530e7c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 3, 9, 1, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:371d4b62ed818db02f6860a54c49df110280edeff0ef115976a94c6fdda12095","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000343"},{"accepted":{"artifact_digest":"sha256:5d24bc5c29e138a09f891413054cd8e0f405d07636553a10bf192e4c644221f7","candidate_id":"sha256:1469ba85f038a26594e4797bd131607e8e2b6218c7207d29925cdb8b85bb5e85","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 = (5, 3, 6, 1, 4)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:689ca0ea5e6a092c3601bd7df8588d7a76342c554aaef0bb436eea7e1cd1b78d"},"incumbent_state_id":"sha256:42f79e77dd53e384464c64d473ebe5b288efad43e82791c7b80960ecf30bae02","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 3}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 25}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 3, 6, 1, 4)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=13\nfailed_count=2\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5ed81eb8e268aa58ee0c0362cc5bc0b043792362c510c6cbf89f69b24f2cb166","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000343"}],"task_id":"vlr-formal-v2-0000343","trajectory_id":"vlr-formal-v2-0000343-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:42c12604afc632ea967b837549be52b79678dcacb339e8e4222dafa44d815552","sample_id":"sha256:34220a16d95303cee623c548ce525ddea0b801585c4418158268cd07082f6c09","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c609a1604c8bc2f18215f5c5aa88fc0b81f1c1375a9cc8493c22ceafb92a7f28","candidate_id":"sha256:a05fab6870f8ca8909288d87c0de550477b35651bc8b67a7c8ef4bb651ef7548","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n    masks = (11, 2, 13, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:0d8298c3fbf6603b6df1af7444c458a2615ac7c6909e74af7e24cc751227c8a0"},"incumbent_state_id":"sha256:eb2799db3a6c8c690e4d6412b5715b63516f4307e5cafac276494e87bcce7b16","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 15}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 2, 13, 10)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\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\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3218b5d5697e404d097b6d432c20426f168c7daeff9cf6c62822b4e6fab57187","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000344"},{"accepted":{"artifact_digest":"sha256:d8ece790f3e1b28cb65686d19746249bdc2e403480359f760c7ac2c489912f15","candidate_id":"sha256:7219778c3cb6982c27e08983c2700774f4696433b4b89d4a14c91efc54504cde","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, 14, 13, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:86292fc7e7b6719f65877d49d1c3275718e78def449453e1c14be4d3589599bf"},"incumbent_state_id":"sha256:a05fab6870f8ca8909288d87c0de550477b35651bc8b67a7c8ef4bb651ef7548","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 15}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 2, 13, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0a7e7e976fa39b6293901a99457a8d8d6847780582cfe42550e4c3823def42a0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000344"},{"accepted":{"artifact_digest":"sha256:8422a8a0f4a622b5cb56ed3985599e6d20ef7df6062c5d0823e5ce49180e7247","candidate_id":"sha256:5c2e974e6ab620b749f788ff1c3bb1b5d9e7179f95a649d5f188c8436d99b309","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, 14, 10, 8)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4e0d6fa9738714c91eed014518de7127a2b5d144c7e82b0071ebc4c3ea504435"},"incumbent_state_id":"sha256:7219778c3cb6982c27e08983c2700774f4696433b4b89d4a14c91efc54504cde","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 15}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (11, 14, 13, 8)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:579671ce977ddbc426263e6ff9920ddb091bfd36341ce130e9affcc3b5c2f52f","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000344"}],"task_id":"vlr-formal-v2-0000344","trajectory_id":"vlr-formal-v2-0000344-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:e135150c29c02cbe7218c3a1dd7b3ade6563302324c3266905700bb23699034d","sample_id":"sha256:29ffae7c95d21b0917c7aa4f469efe48b1128901ad99e06c0eb5e8c237ffda07","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:6df610a8d465bb9554fabc213501e6c6d1d3af6ea03adce77db0ac1f2438ff25","candidate_id":"sha256:22e72f5824fd89c4f310201cf48eff4b5623b314e884f766b19bab630346f76c","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":[1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 3, 4, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:6773ab40d2c9b0e6937458f9c1a24f140fb81acd8dcee4d88dc2bc0666c50728"},"incumbent_state_id":"sha256:0ddefefd4fb32771d5bc6e7e9e63ad7ac23f420a7b3c84037b2f1b0fd383791f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 1, 4, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f0e5c8c16b4072ce69b2f725b0931662b381990b0a3bbc29f6b8eca3c2adfc61","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000345"},{"accepted":{"artifact_digest":"sha256:5ca8466d278dbd6984aabce78740ee7d2e4ee7da15363b99e5b633bf1ed91d9e","candidate_id":"sha256:1d32ab927ef8aa229a008e60516ec758d60708c52aa580a598247b3536c5621c","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":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 3, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:17368e4c4fc9231e1bafb7d09d0923c160c744a2538bcdb5cf61a42a251cc4ec"},"incumbent_state_id":"sha256:22e72f5824fd89c4f310201cf48eff4b5623b314e884f766b19bab630346f76c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 4, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f8676c60f9dfe171e1a9abde7e0472e33e8b447071b592e40bb707c0ebb7ac26","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000345"},{"accepted":{"artifact_digest":"sha256:5e9fb1ad160489abb02a774a80eccd503f0368446a1d24d5d625fe6ddb5e27e5","candidate_id":"sha256:3e95504a6fdd2d2af0caa3a338a422786aca53d48e13c93ffc280553e59018c1","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 3, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:dbe85015356b7bfdf1f586eacf1a6f7eaae9d20aa675aebc23c290486db1ca93"},"incumbent_state_id":"sha256:1d32ab927ef8aa229a008e60516ec758d60708c52aa580a598247b3536c5621c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 2, 3)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:97669fcae8a387d5722274d62297bf1df3871d032afd8aead5a926bb29330f2c","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000345"},{"accepted":{"artifact_digest":"sha256:61d85218e4b87fbe6a1fdb5c3e9488d81a59ab1ae8217d928f4254964b36fc16","candidate_id":"sha256:19781e114a938fc40706f4d8c2241152c40f04f847c56cbf47e52afa6c3439bd","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, 3, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:710007e2b239c1928138ed8efa4ad5727a4f9a33540ab77209f0c85ef3db6171"},"incumbent_state_id":"sha256:3e95504a6fdd2d2af0caa3a338a422786aca53d48e13c93ffc280553e59018c1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 4}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 3, 2, 3)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bac586f37543b886dd3d7386debd05d6883ae7349427786e1ee13e6560e56071","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000345"}],"task_id":"vlr-formal-v2-0000345","trajectory_id":"vlr-formal-v2-0000345-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:00194c61dd67847cb9200cb8cba20ac1b3d82f2df34b93e7fb10715658c84c9b","sample_id":"sha256:a9e681c94e348bcf1c2420836489c36c48f4e98106b24a5cb18221b9ddeea9ed","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:c1a64de98d32ebd612a5c09a8698f2a67500022aa5f3138288df1075782db399","candidate_id":"sha256:c460cae003c108239b790c03e7aef355ebb37972dcb888636775086db4809c29","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (-3, 8, -6, 7, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b73d90e248a6e299acfdf59f30907f7b9a5fa3cd9e76bdf3f64b665fb2cedadd"},"incumbent_state_id":"sha256:e52bb2b14b21f187702679d4eb0e762f6a1b3e3c989a9345def65f98058221c0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 8, -6, 7, -6, 8)\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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0c0bda405411231f779e5e2e863b1166998f6249ef1896fde986249f01307796","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000346"},{"accepted":{"artifact_digest":"sha256:a74a9fe19e74167bec0085afbb5cab2dc174513c014a8cfd4c633255f6081536","candidate_id":"sha256:b25d9d336b9ce147a47906bb4d296f8bbcd68ec067d7880d739f89c1b30a321d","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":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (7, 8, -6, 7, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:bd8648a26e3542465c94f79abb2c83d0ed4787cd5aeb342a085aeadf9fba022a"},"incumbent_state_id":"sha256:c460cae003c108239b790c03e7aef355ebb37972dcb888636775086db4809c29","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (-3, 8, -6, 7, -6, -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_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4fb3ce0e94c74a45c0a1ac9fb93938f1792ebede9f36a6beb9018704075beef0","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000346"},{"accepted":{"artifact_digest":"sha256:5c20ffbb6d5dec09d8feeefa424024a50f5bddc7ba326500862e7b0d32dfa239","candidate_id":"sha256:09561cb0ecc91a425aa6567a4cb460f0ae2cd271e78c22ddbedd40d87c9ea004","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, 1, -6, 7, -6, -3)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:6e20616fd258660d8b2000647a220bec0e6e977f7b0f2da906f00742f151bee1"},"incumbent_state_id":"sha256:b25d9d336b9ce147a47906bb4d296f8bbcd68ec067d7880d739f89c1b30a321d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -4}, {\"input\": 3, \"output\": 10}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (7, 8, -6, 7, -6, -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_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e5bc10a88958b9e2941e7a7fa8cfee3b12980c7b18db0468527412701a2e71be","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000346"}],"task_id":"vlr-formal-v2-0000346","trajectory_id":"vlr-formal-v2-0000346-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:5cb8d92797d59163e64eb72445b631b3c9065c2836fb22d8840a3c5fbee9faa7","sample_id":"sha256:c7daf48a0c530fafe3216e9f4a55ef3b0f59258235a47653f89a4b152b4618cf","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:6f09e9fbc871d336ec0f12b191b906b85f18e5074f765cd09b35c9b48606212d","candidate_id":"sha256:04f28874d48c1f954252e7b23bef6a0b4f0e907203fda09c96577f67b287f08b","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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (1, -5, -3, 0, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:a3c599b48286f6bcd4dd9c07f9b5a7abf1fa25574685ad4f437c66ca8ffed327"},"incumbent_state_id":"sha256:e81d4b31db11c468ec6deb0ac62cfb32a14f408ae6f3c249317dcc329fcdf88f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, 3, -3, 0, -6)\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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bd188c7a8885501ec1b7542f2da723fa6642637d3a8d2d1cd2d7adc4feb340d8","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000347"},{"accepted":{"artifact_digest":"sha256:77bf691dbce611200f38a05bd95562e72849e94c29b97e225b2db3dc70947e80","candidate_id":"sha256:67d35be89f7a9938a435755154e95a77de08ae1ae515bc30b06d3cee029ca231","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 = (1, -5, -3, 0, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:b9cb540c7f8e091e05aefeb0ed1a28b1c83643077cdfbcf6104b49a61dc6c6be"},"incumbent_state_id":"sha256:04f28874d48c1f954252e7b23bef6a0b4f0e907203fda09c96577f67b287f08b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, -5, -3, 0, -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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:82dad13b9e6c9f667eacd3435d784c5a25e084fb5659151deef673948bd8627c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000347"},{"accepted":{"artifact_digest":"sha256:621e48bcc3221a05742085649d5f20712769a2809f2a28877874f124a42dc181","candidate_id":"sha256:fd4e034ca48e222d75166470184e1d4438410b4eb2fd97dc8d4b55421e831477","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 = (1, -5, -6, 0, 3)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:d30824c8037266f83b0fc50c3534867256b05855f4caa2790956b92d45e0c57b"},"incumbent_state_id":"sha256:67d35be89f7a9938a435755154e95a77de08ae1ae515bc30b06d3cee029ca231","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (1, -5, -3, 0, 3)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1e389981d0765e74ab33c3e7689da217b2d0a6fb8df38c35f9afb57527574ccd","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000347"}],"task_id":"vlr-formal-v2-0000347","trajectory_id":"vlr-formal-v2-0000347-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:c5ed6d5086a54095a168e95ecd9dfa918b09c83e62a3ebdccd96beb5d4b51431","sample_id":"sha256:23bb77aa3abdfc2478b77a1a6eb28c0ccc9a126bbee0d9bda879d3ba2f4b3140","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:1d72ff035245b3bc94d0652e56178f1c665a006bcd344307b98406145595ab96","candidate_id":"sha256:fa64d3277520cd8ffd88a6b195736a7f4ab01290817054c4f7b5367d942871bf","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":[1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (-6)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\n    return x + (9)\n","verification_digest":"sha256:b4255ad13c018df6cbcb37ff7da14a09fbe35f2b1e52e089175064e367ebefe9"},"incumbent_state_id":"sha256:8eafd128df9bda042c437557d1387bdf2591742bd2e0bc55505c5afeddcd4759","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -10}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-6)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (1)\n    return x + (9)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4863cf67483a142ffcff5aab0a21e25d11ffe212dfa7d3412a419feeae2dcf8f","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000350"},{"accepted":{"artifact_digest":"sha256:902e4cd2d06ef171ba5b9f8d979a3216054390d8fef4ec8fefeded2cf49fefbf","candidate_id":"sha256:b0082ddaf6ee292adc6d8acb30143f8bddbdf5e88e3b07565c4bef4f30d21514","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    if x < -6: return x + (-7)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\n    return x + (9)\n","verification_digest":"sha256:46033e4d6a47699895f25c53b2dd40f7494c2a82e165301b7a97f8760e2191c1"},"incumbent_state_id":"sha256:fa64d3277520cd8ffd88a6b195736a7f4ab01290817054c4f7b5367d942871bf","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -10}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-6)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\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_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9b142b6da8951de5c6a464cfcc8bbf7566e7484ca3975a7d0ef68dd8c22a494d","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000350"},{"accepted":{"artifact_digest":"sha256:a5b0a338712e8b4b7297c36a2af149f8d99eb63a15b55cdc5627e9e1addb2ffd","candidate_id":"sha256:2fb0abd4ba224ddd2f1e89acae9dc7d8150be72c081157b67db8625835d86986","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 + (-7)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\n    return x + (-3)\n","verification_digest":"sha256:30dbda36f9acb6db24b0c31b646df20a4c513fe8960d58b5125f91796dc662da"},"incumbent_state_id":"sha256:b0082ddaf6ee292adc6d8acb30143f8bddbdf5e88e3b07565c4bef4f30d21514","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -10}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 24}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (-7)\n    if x < 0: return x + (-7)\n    if x < 6: return x + (1)\n    return x + (9)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c34a8543019963a259f6055c900e4e4efdd1ec540f1a1aad767c1f96ab438345","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000350"}],"task_id":"vlr-formal-v2-0000350","trajectory_id":"vlr-formal-v2-0000350-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:caf8343befeba8e3f3f3e2e57e25481e8e63f89b49848802a2ce95c8a5ae54ad","sample_id":"sha256:e198b993e2ca323f34ddc4a61fd9b3d66b74fcd7bfab981b0130df0c1c8b1013","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:3d6e1d0eb7029b8dcf11c2157de620b7e8ffe84e791e43e73bec727b5d91759b","candidate_id":"sha256:55e560a5fc7087995c8202dd9a806053c4259b81d09f8cdb7ca45612107dfd50","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-3, -7, 2, -3, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:d19944d7bd458acb8be7ccd24b34b9832040d3e965056d41c0c569ddf415d914"},"incumbent_state_id":"sha256:db7241aefb854812f4b496b8ce258fd72b22393438e5365ee2bf62b2045f23e3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, -7, 2, -3, 0)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:89b7063d98ae59608a972d053a3fec96916f1a1b3e19802159b65f401ff99c12","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000351"},{"accepted":{"artifact_digest":"sha256:a767e0f07756bd69eb5861131b5b5e376b0fe2670623225d26639e42f7d57b50","candidate_id":"sha256:2cfa9857bc4fe2a3e01771ca9dd57fe633e370425bcd00f7a840edf8719ce979","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, -7, 2, -3, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:701cadfb3440d14e1a1ed89aa5b23d4cf076cb158998042709cce0c9a9add0fa"},"incumbent_state_id":"sha256:55e560a5fc7087995c8202dd9a806053c4259b81d09f8cdb7ca45612107dfd50","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-3, -7, 2, -3, 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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5fdf22005859516d21615e289ac93af79e83017631275f1172b3eb664f9bd1a1","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000351"},{"accepted":{"artifact_digest":"sha256:5527432e5987522f6bfae91c00bcb773f35d948a1398b5d83d939dd891d84351","candidate_id":"sha256:ff7c462db9a63902de086a23bd3017e3395825c619421876b7445b31f7aa4314","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 = (5, -9, 2, -3, 5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:dff12dce3f5f327a68bfddb2870f4d41a08a7be52c8612ac2537f596184e4dbf"},"incumbent_state_id":"sha256:2cfa9857bc4fe2a3e01771ca9dd57fe633e370425bcd00f7a840edf8719ce979","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 4}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, -7, 2, -3, 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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f5a6bcb02e235b9a7a81ee53f81f12b56349c7ee0caef13d103ad0fc26f37f05","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000351"}],"task_id":"vlr-formal-v2-0000351","trajectory_id":"vlr-formal-v2-0000351-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:2e7372564510074d53fe5cff34fa0d698bf2e5b617c737d5119b44d71b73d08f","sample_id":"sha256:b32bca01dcf037e26fe1dc6fdb86214199613fd207e176d2243c1a3916772838","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:0c67cd20b62d48c32540e7eec27f073af0063fd4dc5050b649a929aace1877ef","candidate_id":"sha256:d2b1a000b86f3ef03ba8f37eaf51197a5ba3cfe8a64d860698a2bf89f67fd31c","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":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-3, 5, 1, -4, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:d1db7fa15885a841f740bb708c6a92cac981befab194424d65006210e4cb041a"},"incumbent_state_id":"sha256:70fec7f4b8fc5c954a208a05dcabf2b14431d48e8cec0a7e0402712086e16ea0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, -6, 1, -4, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d7c1afad340938a7a1b33bfc7ff9463be319875cc80e6dfd22318f5722c17d6c","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000352"},{"accepted":{"artifact_digest":"sha256:1c62e1e3f750400ed0d8574637720c7bb0734bcf4c88b0858e112d28da3a6fd0","candidate_id":"sha256:6e43d02ae9b9cf983c6b12ae6fe9c4525853339617a65ef16db1dd0745aeb550","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":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, 5, 1, -4, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:e593cfeb02be681eb84bf26134884ae59b8087a0595b467851a080c4a02f645a"},"incumbent_state_id":"sha256:d2b1a000b86f3ef03ba8f37eaf51197a5ba3cfe8a64d860698a2bf89f67fd31c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-3, 5, 1, -4, 3)\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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a2195b96b6ab8c0be11c7210f3a96a22b69992bcfec92d2b3adbdfbc95935ac1","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000352"},{"accepted":{"artifact_digest":"sha256:00bacc0a5c9314442ca13dc867552c97b709007ee16b0e7eee19029b80ba9e53","candidate_id":"sha256:dff7a46226a0e0330c2e61c2b82548d3c977bc13cd7e022f2795b1fbc6a3f9b5","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 = (3, 5, -6, -4, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:6a677e9b225b624b3f0968572f3c934af1d39df373ba5c66e8c60f4df5fc49aa"},"incumbent_state_id":"sha256:6e43d02ae9b9cf983c6b12ae6fe9c4525853339617a65ef16db1dd0745aeb550","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 5, 1, -4, 3)\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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:23d3a911855d2e7dfcd66abd1348857dd5641bbffdcd599fea41d52b4cd3bd1b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000352"},{"accepted":{"artifact_digest":"sha256:0b5008d60c7969faba0ec17467e4b4bbc8f9084597e357441ebdfff706d5b9cd","candidate_id":"sha256:83e827e4606c03364a8cb3c7ebfcc03e0c6ce8997801304dff5fa639f2ddf580","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, 5, -6, -4, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:041012cc6815f868060fed85acb4192bdb311d0f8b002fa05ab64cf73215b2c5"},"incumbent_state_id":"sha256:dff7a46226a0e0330c2e61c2b82548d3c977bc13cd7e022f2795b1fbc6a3f9b5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 5, -6, -4, 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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5d22c4821f0a74b1d6b35b789f10d496b4d64fb508fdbaa91c54a20da50d3042","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000352"},{"accepted":{"artifact_digest":"sha256:cafce94d9cca66898f42fc64162af8a6fcb7f97e3518ab753c88680cff5803d2","candidate_id":"sha256:d9b3cddce551e6d7757f686510f600f6fd0428a1b5180a479a1ce76e294eff59","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 = (3, 5, -6, 6, 2)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:0a9f266bcde85b22fc463c59145fca3ba0d25e4adc2b85126a26f37061d36a38"},"incumbent_state_id":"sha256:83e827e4606c03364a8cb3c7ebfcc03e0c6ce8997801304dff5fa639f2ddf580","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, 5, -6, -4, 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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0ce73696210e974e6221a5f77b886423cc315565708e1874653ed3685c755d33","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000352"}],"task_id":"vlr-formal-v2-0000352","trajectory_id":"vlr-formal-v2-0000352-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:a46fbe74fe9cf1b95c28034f1f15cc01e7bd22ecaf41d1d1da04acee7423de77","sample_id":"sha256:0ee7a91cfebf9d9f4c2904289e89a6e3538d19d83c837aa9f9473630cda1c8f6","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:13ad946d1e6eb2c10abddf427d9aa8193a1bff5706acbdd734cf15e4d25ad585","candidate_id":"sha256:08b8b65b2f3a2fd043829f2f4bc6d1a51fc886a1cba351bb9dc55314f6976388","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":[0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 2, 2, 8, 5)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:3a5b7c1f4672144fef3a782c656633bd5fe191537862bb420b56c572bcf4f6cb"},"incumbent_state_id":"sha256:103114cb05578a0a615a8e5a8afedc19a057e95a034f558c64c6b6d22e178613","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 5, 8, 5)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:867cac482a39741d5301fa6c910fe4e21585448d9cfacc3335eda73e4d2f7141","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000353"},{"accepted":{"artifact_digest":"sha256:f5a6ff24016d407b438610ef0c7ae5bf183c43c139fd7f68984fa0ffd61354a9","candidate_id":"sha256:3fd0461278fdf069bbec6caf0900e40865782d447c45b9f6695aa4a39860ca31","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 = (5, 2, 2, 8, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:05fcc11d6408dd1f450ddf927f16613fc3f0dc5fabbb76310f641caffb3a7605"},"incumbent_state_id":"sha256:08b8b65b2f3a2fd043829f2f4bc6d1a51fc886a1cba351bb9dc55314f6976388","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 2, 8, 5)\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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:47101184bcc65bc6a398d523143693df1a478abdd435d788dcd11b56c9e95301","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000353"},{"accepted":{"artifact_digest":"sha256:983dde54c214044acb4798d22f021d6dd695270e62bba18ec7ac56fd880a628b","candidate_id":"sha256:f9041cde9f70ec59ebb155c5218d67e3660c156a404942d10962f1cbb58233df","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 = (5, 2, 2, 4, 3)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:be7a6686c500fc302b25c9a280cc1556e51c9fb3a033f2cbc3d4c023dc873e95"},"incumbent_state_id":"sha256:3fd0461278fdf069bbec6caf0900e40865782d447c45b9f6695aa4a39860ca31","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 2, 8, 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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f0974500b0818212532f982acd3cfed678ce52bc4d4c77f92f2f96dc0b0d0090","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000353"}],"task_id":"vlr-formal-v2-0000353","trajectory_id":"vlr-formal-v2-0000353-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:5089ab63866b533c48b231e4f2b4fe41adb6600bb075ffcb83ded572d086d096","sample_id":"sha256:d9ec2dddc83b4a43dc82f07d8ace9c71bf7f933a5d7e157f926109218e41414f","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:9c44464638c2fb8687c692599670d504bf8f6155ba520f380162072af297af1d","candidate_id":"sha256:b5f7471a7f59624def2427c8cd362e30bf1878320e6f6a8ed94dca53b3005ec1","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, 9, 6, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:3751c1870551c039622df429e78ef83c04e42519b772e1572b272e1d54fc03cb"},"incumbent_state_id":"sha256:20202a97be99ee5afce89c44156079ad43510888bd8664b4d4c91abba251594d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 9, 6, 13)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:030347d080ea6fecef7c5b945ae76940d9428b8bf640a88ddb58146edf3b8924","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000354"},{"accepted":{"artifact_digest":"sha256:753e4979e8f2028666c36cb373df7e97a8174828a3abef60fcaf40d0008c3134","candidate_id":"sha256:d6a2b32996e75b3110b8afc69673533bf44f2c2b90c84fc28a77e65bd84d7a41","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, 12, 6, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:4e3e4f894b3e367e0b5905e873a14b035b7b36cbb9ed57ad7ec0e1aadd13b358"},"incumbent_state_id":"sha256:b5f7471a7f59624def2427c8cd362e30bf1878320e6f6a8ed94dca53b3005ec1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 9, 6, 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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a2ba639ed4119b693beeb1bbcc40aac8f65896b54454fc8c0dc2f21d938347ab","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000354"},{"accepted":{"artifact_digest":"sha256:9e5cf52a2ab23b2433f71469172fd7b4e96d5ee492aa7b894b89e8f2572043b2","candidate_id":"sha256:693e52e6f078c06e15cc9d97b82d77eefd5ea696f40f6cfb1071634a55e4a759","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 = (4, 12, 2, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:e9cd339a80ddd707ca6415a47de0737d23270e2d26cfe1e4001c481e33323de7"},"incumbent_state_id":"sha256:d6a2b32996e75b3110b8afc69673533bf44f2c2b90c84fc28a77e65bd84d7a41","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 12, 6, 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_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b98ec640138a45a580e0766f41ca1506e33283c9027c071f8cd82bfdb047ea09","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000354"},{"accepted":{"artifact_digest":"sha256:a5f8319df6930776d3ef7f1a8aced6f40ff2329a756430e316e8b80b8c266d75","candidate_id":"sha256:c6c5ea57d312ea79c2d1586b98a0a98a35212320156b560f9dd0acbcba850e2e","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 = (2, 12, 2, 12)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:d5e35b385534b573a5f2417324db64f7c05c4001193ac250a15a09157213c31b"},"incumbent_state_id":"sha256:693e52e6f078c06e15cc9d97b82d77eefd5ea696f40f6cfb1071634a55e4a759","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 13}, {\"input\": 2, \"output\": 0}, {\"input\": 3, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (4, 12, 2, 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_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a289e121a2f983f5a5065c27f95312b9426f9bf734a9c928a0a1258b6e74a30a","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000354"}],"task_id":"vlr-formal-v2-0000354","trajectory_id":"vlr-formal-v2-0000354-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:1ed062c35ee36df99dce2cc9d1bff97c3eac4252fc1f87b7f2333d737af863d0","sample_id":"sha256:5e0aedb3bc1ae16e4603666bf69e55ac3ab6a0f6fe8195160067972a0f7c1061","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:507c61c865057f4ae47c33841b59c4bbd46e5615cee5f0908c9df5f165898bc4","candidate_id":"sha256:9789df64cd95fb641446fc538d650ef98004803e5f5ac2ab31d811837b15450e","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":[1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 2, 4, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8bbea6cbf238091ba5d5fadd77679f2b7a5a96a0362074754ab63ea1ea13208e"},"incumbent_state_id":"sha256:79c867211190e1d98cad29d79fc88b8d4e3a9d24f52dd94e74a396068be8b0d0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 4, 5)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\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\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:670b9372bff6c34e2a14cca3aac8bdce4dc732fb9b196c11da0667881ce083ad","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000355"},{"accepted":{"artifact_digest":"sha256:e30af3b95dc1aa60d0523be43b16c8b86155b9c539d34c8ec4ae52f75da6b772","candidate_id":"sha256:6c0a7ab83088493211d5a5513a031418128d2efdfd445072f40e4cb3d9611dd9","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 2, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:788e5820489acb51530c4edbed66eaa542e759d9ce43b998ed8a2fa70a693f8b"},"incumbent_state_id":"sha256:9789df64cd95fb641446fc538d650ef98004803e5f5ac2ab31d811837b15450e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\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=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fa0320f9e382d92df4be6b28361aba1878bf8ab0c067577246f62fff8d8617d8","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000355"},{"accepted":{"artifact_digest":"sha256:504fe897ec1856ed0fff3d4bac573eac01100cd81ecce13a7316401f177be4f2","candidate_id":"sha256:b6b073cb54b908878c2551190bc74d1f03af69268aa1fe6abfd6ed50fb9a9612","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (1, 5, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:aac3f5665d5aaef71b336aab1ed57d29d56a7102ed6d79a97bb3b502fae2775b"},"incumbent_state_id":"sha256:6c0a7ab83088493211d5a5513a031418128d2efdfd445072f40e4cb3d9611dd9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 2, 2, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1014c289fd4ad0cc62fdcc2c55d07606fe4312281a34290b0f72db56c3e99596","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000355"},{"accepted":{"artifact_digest":"sha256:a0eb13724879092853deb65d40aefbefc2990c9aad6996df55c9c00374cf8eeb","candidate_id":"sha256:c84a581ecdc234927e39a6cad7881f886085766c3b2d511b81a2bfc7d6a10311","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 = (3, 5, 2, 2)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:fe81dbd65e0034e8da70cfa244d73b3c181fe3f0a43640248cb645d99bc89c49"},"incumbent_state_id":"sha256:b6b073cb54b908878c2551190bc74d1f03af69268aa1fe6abfd6ed50fb9a9612","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 3}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (1, 5, 2, 2)\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_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5b18a50dc2ee9fbdc7fcd92a130f89123d8166e6c002afcd9264c22089c7fc1f","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000355"}],"task_id":"vlr-formal-v2-0000355","trajectory_id":"vlr-formal-v2-0000355-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:1b2b0edb65f8a5a9556cfa7b6c371b85bfac171f2c5c563f70b623b64caa41dd","sample_id":"sha256:39a9c76bdc6579b27bdc0df4c318b3e1daaebfc31fae7b31ee7ffb8fd17940dd","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:e194df8cde79bc845db30398c9efec6deda27462bf61ac3843b0d4ba0b3a91f0","candidate_id":"sha256:4268104d75799a097befe709f2affeb48fcc12229ed13ac375646ab5bf8f19c6","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, -3, -8, 1, 0)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:264a9b83456f35bdeed37384a0ebbb851d56572b0def180e954419d76ad55ac5"},"incumbent_state_id":"sha256:3e8a1d29894d4261ff40b0a042d65b965b251c34a3215339097b364d630b7a56","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (8, -3, -8, 1, 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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6f017679085da7d2bbd818605cc7e88ffe07177056d6949d8370adb942b369b8","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000357"},{"accepted":{"artifact_digest":"sha256:17e8b0e7ab5df398fa4a2d8971112422a0fbbb5b45444ed75a4b7872d3329984","candidate_id":"sha256:210a28e306b7a8aaf2655e04ed55ea1479ebe3a75ed5da93a380bf0170a52cd8","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, -3, -8, 1, -6)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:aee377fa164d6c3739f0a1dac442c94ddeb7b17b219e235a21b539496388f73e"},"incumbent_state_id":"sha256:4268104d75799a097befe709f2affeb48fcc12229ed13ac375646ab5bf8f19c6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -1}, {\"input\": 4, \"output\": -4}, {\"input\": 6, \"output\": 7}, {\"input\": 8, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-4, -3, -8, 1, 0)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4bc8cf7d522808e8e395a289bbe9177163c8c1048e7d95acbe0ddc9cb29fff46","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000357"}],"task_id":"vlr-formal-v2-0000357","trajectory_id":"vlr-formal-v2-0000357-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:844df748f6d4e108b3193527f3449699cdc236fac43bb7b561bd904b8d02afcf","sample_id":"sha256:f2cd0901fb03ae8f59d5163541ef35a3754809cea7f0346777fcfd9a235aeb1e","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b35f553a24654bf0697408e7d20c94d585816d6a4adb2401966556cd5dd274a7","candidate_id":"sha256:a2c71715af68020dfa05cbfac3ae9b25ec67a324f4fbc05da165874c58c477eb","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":[0,0,0,1,1,1,0,0,0,1,1,1],"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 + (-1)\n    return x + (0)\n","verification_digest":"sha256:eb8b96abe5a7543cfa9a3c7402bb84db8cb7db82ab7379223a1ef79e5faba289"},"incumbent_state_id":"sha256:bf20a0c5bd6f11aa4f8f67773ca3dd3a5d33e360b32aabd6952ee90a98533723","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -3}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 32}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (2)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (0)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0a56e4b76a1881c05d3dd1fd1593ee31771f82aeec6182e8bb8381ba5d2a255b","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000360"},{"accepted":{"artifact_digest":"sha256:5a7a975f1848a004230b88ffd5474f2b8ea6cfcfd8e172f440bb8f882bea5e96","candidate_id":"sha256:fc6e126161bd9150084009c0c1d69fcebc13e357a3b8f73d378192be8076f1c4","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 + (6)\n    if x < 6: return x + (-1)\n    return x + (5)\n","verification_digest":"sha256:7de4f65181b657fd62508348996fcbe88ab92212c11787facd4aa7c7fd47e9cf"},"incumbent_state_id":"sha256:a2c71715af68020dfa05cbfac3ae9b25ec67a324f4fbc05da165874c58c477eb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -3}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 32}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:093db21407aa8393b7dc300442f8b03850a5665490c7e9dd5c1bf334b0a63407","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000360"},{"accepted":{"artifact_digest":"sha256:abb4e82f9c21a30d9f1be5f9ff052a8c7df5f3e246459424349bdd097f7c9bb1","candidate_id":"sha256:e04463a165fd2e6b6197a7e63bd1d60635d9512532d8452bfc33106346e4f5bd","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 + (0)\n    if x < 6: return x + (-1)\n    return x + (5)\n","verification_digest":"sha256:e3a7e3f4b8e51bfe1af85a58e1111b15818641c6700c026c4e9e579946bf7254"},"incumbent_state_id":"sha256:fc6e126161bd9150084009c0c1d69fcebc13e357a3b8f73d378192be8076f1c4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -3}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 32}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (6)\n    if x < 0: return x + (6)\n    if x < 6: return x + (-1)\n    return x + (5)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d0a28fa3379c15b205766c19abf29f467ffd43fb175467f20bc350c4ab1efe48","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000360"}],"task_id":"vlr-formal-v2-0000360","trajectory_id":"vlr-formal-v2-0000360-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:9c692b755c9619e861796e1b2a30df80a02435191f8e80dd2c84c0b06e9f76e1","sample_id":"sha256:40c2a885efd5ba90347427882e6812b505538593f509a6cece0878e65c9a9b26","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:bfd873073eda8d8630e69b5e4585d46ad9e3effe57327be0495a45bcbd834847","candidate_id":"sha256:7174bb3b35fc1250af86863febdf58adbbfe125795925f146fe88491af9ca3cc","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, -2, -7, 3, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:66c3d035df2e2fdff6c656d226b8a947d1a120ea7d95177fb9553d4ecc565119"},"incumbent_state_id":"sha256:0b659365d362b02e57c4c4458cf1c44d77a97a7389a1f6f967e1c8604f6d1ba9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": -9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, -2, -7, 3, -6)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:869b4c0331658e8d70a9fbc7713efa54f60c26568264a4e6f3428dbf408170fb","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000361"},{"accepted":{"artifact_digest":"sha256:80c9e3732e6f85a72c2a5ffdd6726986b873c15b1de7181803b2137c7ec28fbf","candidate_id":"sha256:47fa9ce7efa56afcee5972e8188dd794081402fd4a84f1fa6e3c0f9f13221a8f","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, 8, -7, 3, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:300c946fd86360d6511ba7b1c1f3063fb2c0c0a346582276827be36d061283b0"},"incumbent_state_id":"sha256:7174bb3b35fc1250af86863febdf58adbbfe125795925f146fe88491af9ca3cc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": -1, \"output\": -9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, -2, -7, 3, -8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7307cd908e9292da78f3eeeeef997ebe0ad5a5f4798e19e2311aec75e4232200","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000361"}],"task_id":"vlr-formal-v2-0000361","trajectory_id":"vlr-formal-v2-0000361-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:45fc69d91a41035230195b5d79f9c76367db4a1161b66492e259a1a1d4c9a3c2","sample_id":"sha256:c5899272a9e69305eec6948137ef4d23f54f65d68edb7a652c074ffc81464628","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:bfb2cd95d2febfa7d5ff4a7cb11241f35c0b8011767967113f2d4580d7e0a78a","candidate_id":"sha256:69edda7048955298301ad4a71f222d07117d5da077053935189b17898a4117cc","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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, -6, 4, 6, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:399012f40575fbb70039422d6e8ad367508d255ccc172f20aa61b2f5333d8151"},"incumbent_state_id":"sha256:aa5ae55a759710ec6b3a703d7846871640b7428b31ce4d1b50ac402a83834298","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -6, 4, 6, -3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6b34a4f3adf0cbc93501a7ffd91714a62caa2e9e79590127c883d5c13475ec36","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000362"},{"accepted":{"artifact_digest":"sha256:315eb51117ffd6bc380df8a52822230fd1ebeafc8c17dd4f405103208dc28eb8","candidate_id":"sha256:4f5088bbe6a4f051191cf2c8bde1b533d8e1ed85d6df94f9acea492c8963e117","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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, -6, 4, 2, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:decbd4c2e2312adcb815178d1dfc1e2e42d134d02c7e11ed8c839b2506b5a60a"},"incumbent_state_id":"sha256:69edda7048955298301ad4a71f222d07117d5da077053935189b17898a4117cc","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -6, 4, 6, 3)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7caa977652673159d9dfe7f0fd8582cbf0afac4d699306056325d6a217f88d29","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000362"},{"accepted":{"artifact_digest":"sha256:ae6ae45053b0b9dc93a439bc352b223893a0349c438eaec71fa38ceb7b195328","candidate_id":"sha256:a8c16f9518eaf2f2f41f278f9545b899c4c70a1c5a1b3a0a6c21a18b36f08683","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":[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, -6, 1, 2, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:28a6ffb6ea35bb1eae99e7f0dd423a960d50c6fb7dbab6b369a90abc1e3dce44"},"incumbent_state_id":"sha256:4f5088bbe6a4f051191cf2c8bde1b533d8e1ed85d6df94f9acea492c8963e117","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -6, 4, 2, 3)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a7f77303496f8b7d9c825538acfb7f4ce8ab28e30ce4fe1afdd6036693f5b356","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000362"},{"accepted":{"artifact_digest":"sha256:5afcbec6350df5fa597c47b6a0d74412e156e120832d61786313dc5ee3029fc2","candidate_id":"sha256:93c3fb422019db080c64a0fead4c05183dfbbb4f3ad1c337e168b84491cc791d","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (3, -1, 1, 2, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:220e70091eb5432032597e8634cf76e221445caa3487618060c8ec631065097f"},"incumbent_state_id":"sha256:a8c16f9518eaf2f2f41f278f9545b899c4c70a1c5a1b3a0a6c21a18b36f08683","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -6, 1, 2, 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_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d286b55f4e117321ed0e44bffc9e06cb0f13004d184891a6eda9397d20d3395d","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000362"},{"accepted":{"artifact_digest":"sha256:ea988f5ded2124c1099e3bd845d7ae73aa3ad9d998aa442b62fd907505b050af","candidate_id":"sha256:376befc132f5f975e61f9588450c7e589d4d4ecce31d4350e6a4743d73535c32","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 = (-7, -1, 1, 2, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:af799ec960746ac4decd929b98666f2856a1af7b1415e34d1cd5125a05df20df"},"incumbent_state_id":"sha256:93c3fb422019db080c64a0fead4c05183dfbbb4f3ad1c337e168b84491cc791d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 11}, {\"input\": -1, \"output\": 4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (3, -1, 1, 2, 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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:98538fff3aef61ac9b84fabfe36f269d59d49c66520bf61a1262cc3cfee9effc","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000362"}],"task_id":"vlr-formal-v2-0000362","trajectory_id":"vlr-formal-v2-0000362-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:6a107e045b3dee26ef29f0c9aeba1b7a1d9af3389b918270fb9b1c4ba4520354","sample_id":"sha256:a1d1fbc8fe3ca6822e7d6c457654047c3d6031e7615524dac0847308a998ae24","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:1a1cb57ae69a41dba075b18fea096b1ff19bf120e27c3124cddcd34a9fb0c483","candidate_id":"sha256:3d6becd0a69bd5726e0f491a1bbf2815b5d198b15f2273cffb5da78ea7b06560","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 = (2, 8, 2, 1, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:2546e49c14626261a3d9938d62e45880ec3189f89e6c9716b470e23acc2d0004"},"incumbent_state_id":"sha256:5a7d0ffe4a2bc906b5bc0eb1e0a745913918473b2aae35c87e3d6ae6feafbf5b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 8, 2, 1, 5)\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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:687c64398e2432f8be99a3139a2b07b152b9dfca1303a4c34e7528a640e9f160","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000363"},{"accepted":{"artifact_digest":"sha256:7ca675dea752660539e28261c9cceaf81889fb229e9606631e0d0219b83ddd73","candidate_id":"sha256:9273505018b94283878c2b68469b9ead21047229fa8c77321c923083bea339b9","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 = (2, 9, 2, 1, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:8ccd387a82d91fb5a7bfe3647039676051fb05e8b6f3f7d3ce9363466e623f1e"},"incumbent_state_id":"sha256:3d6becd0a69bd5726e0f491a1bbf2815b5d198b15f2273cffb5da78ea7b06560","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 8, 2, 1, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c220eb6513af794adeffe486864b487aaa2d1843feb1793c67387bc152f0c37f","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000363"},{"accepted":{"artifact_digest":"sha256:0f9de6bf9a48c25744cfa593004fe71122eb36a9730573ef4506deef0cecb653","candidate_id":"sha256:44f70f3233b33d32dad461ceeeb626bc45e422b0433f478f8950e282068345a7","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 = (2, 9, 2, 4, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:21b8ae8fd07a4f74ede542703153ccba023e6161be74db62bb7c687459ec5215"},"incumbent_state_id":"sha256:9273505018b94283878c2b68469b9ead21047229fa8c77321c923083bea339b9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (2, 9, 2, 1, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:146556b519b923239070abda647cdda8fd0b59aa2f32c57ad2ada7496aab8924","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000363"}],"task_id":"vlr-formal-v2-0000363","trajectory_id":"vlr-formal-v2-0000363-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:1dff87ca96dbe64c66562f553888102937363b41aaaa3f3145250126f9133489","sample_id":"sha256:38d30d46b6cde67a2e0ff066afadc4e299b6f092279f582c319427b34efe179e","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:73f286992d6b4fe998fa98adc62d67451d2c3a6ebd2f9d1dd8d04072063b4106","candidate_id":"sha256:7ccdee2b55cc8aeb15ddcd98f8398a3c0b5980429032fe996609f1c4c67b78ab","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 = (2, 11, 11, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:2f6cb47b58711162c0026233ad80b3af6a84b53c4bcdc8825160829771aa1790"},"incumbent_state_id":"sha256:3d761d513ec269a05e9bea1383b01b58de0434be1115f35d5e87eae3366f9fad","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 5, 11, 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_003\", \"xor_mask.protected.case_004\", \"xor_mask.protected.case_005\", \"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:96497f646ff1c21d2b9a14af98cd1d5a47b83b51576776c628d36294f26f0615","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000364"},{"accepted":{"artifact_digest":"sha256:df8972a0ae0d995bed3de7d9724b9f48f7aefc05a3f26fb51b601abd90c5f68b","candidate_id":"sha256:9320fcb28d89992d7c338083e7cf185e74ac05a4c5872697bac12bbe3771a8a5","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 = (2, 11, 12, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:fde16fba132a665c77d1ebd5405999c0acec846daa6c450a47d96d55e414b3ae"},"incumbent_state_id":"sha256:7ccdee2b55cc8aeb15ddcd98f8398a3c0b5980429032fe996609f1c4c67b78ab","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 11, 11, 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_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e9d420b5cc8ab55c1a0db96b980dc67e2f6725b454f80e2c85d917b463b1619e","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000364"},{"accepted":{"artifact_digest":"sha256:30f4d182bbe76ce6bdaa0c1ce63a3a0ea262808be893b3e48a766caf3df112cf","candidate_id":"sha256:cd83ea8e65e4548e6b7f4fe2971876109aecbfeba7daa3899057414d71f4e65c","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 = (2, 11, 12, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:54ec72464021bb351603419cb14d064a7a958423b2f8597faf5653b32d244200"},"incumbent_state_id":"sha256:9320fcb28d89992d7c338083e7cf185e74ac05a4c5872697bac12bbe3771a8a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 10}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (2, 11, 12, 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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6cae930b2e2a482e52c3ecbd405a29b09a2b6b9a1f91fc147a7d4088f475d37b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000364"}],"task_id":"vlr-formal-v2-0000364","trajectory_id":"vlr-formal-v2-0000364-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:e30c452798425380e30738b4378a7b4b737caa45699db8e6bf6ae14a0520bbdc","sample_id":"sha256:d3fe7cde8a3b6f7e16d3ca7903f0d13684d40f474f46ffa70012b26426207661","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:327fa0af093581908bf02724e4c26d766a0897b09cab60d6af81a59bd044ee91","candidate_id":"sha256:f03ed50285913e199059fdd82799d53f6596dd6a18e21812ba3d4345cf998ed9","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 = (5, 6, 4, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:90c50fbc0d49fee5522dce25078aba475fba24283ac300ab793cae69f2028b94"},"incumbent_state_id":"sha256:24d9b2900df88d9c741efb85c0d690dd8cd93bdf54a0f40790fac440d02952d2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 3, 4, 1)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:52e609454de0b78d8971eb45713843cea0db9f470462fdf450bdf182051a920e","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000365"},{"accepted":{"artifact_digest":"sha256:6f98185f97e1df4610d828f93d9a7f631ed4068a4c6bad739bfb1fed32d47def","candidate_id":"sha256:f4eb470577383015e1b1400fc3858025a29e7013956d9903fa8a6b42ec4fd514","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 3, 1)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:3798122b82ae15625c4ec96f8164120dd69f986276b8503d4ff44920c459194f"},"incumbent_state_id":"sha256:f03ed50285913e199059fdd82799d53f6596dd6a18e21812ba3d4345cf998ed9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 4, 1)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b53b017442873012d0105d7c7651ba89fce8c936cfce4e1e80bca4da1d91d115","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000365"},{"accepted":{"artifact_digest":"sha256:56939718829176aa194e86bff2acb2fa96a442096d2373b2a1802a77374f4373","candidate_id":"sha256:b0516ce8a762b984e58cc5dfa52989455dce1b96ee33f453f3b598468a34bca2","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, 6, 3, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:49fe9da30818823407f002d7e84c4121355b53c9cc8509561dbb3a4a385b994a"},"incumbent_state_id":"sha256:f4eb470577383015e1b1400fc3858025a29e7013956d9903fa8a6b42ec4fd514","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 7}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 3, 1)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:12fa9a75866d1673ba6c983515c059f5ae8e65adbcd0c9d79dc60ab97354954b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000365"}],"task_id":"vlr-formal-v2-0000365","trajectory_id":"vlr-formal-v2-0000365-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:d8ff3ba3cfd5ecb819f234a3d5c4e752def590a09cea1a4cd961d03e883debb5","sample_id":"sha256:a2a00bdeefcd0dfc27ffc15ddd323ae418ece6f40bf088a7b7de7711fe76c6f6","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:79af167b879d41d7a1c4cf996f212e9567b351f054c7bdd270d932759d59892a","candidate_id":"sha256:0ed669bb21eff1f52001ed997b715da7e53530c3170fa90fb485e07d86dc2efa","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n    delta = (2, -7, -2, -1, -8, 0)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:d4455f685f39186db1d05690a101c7a1b2660b583127efcf017c39be7f6ff584"},"incumbent_state_id":"sha256:6ef2597c89e41b78d3ec85e37ade58aec2d2d2a1289b04d32458d27c717f915e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, -7, -2, -1, 4, 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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:bb24a6b6c6e6ee54d4a916c1dd0058f8fa922770bba3570d591a8d6442842494","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000366"},{"accepted":{"artifact_digest":"sha256:bf89d77b5284fd3a4b0bfd1918fff2b11d1e32624e46a06865141df15ad0736a","candidate_id":"sha256:1b4533cb108bd9cc5bab98e3c802d030ede91ce92c4be481118c1ad5e19d8234","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 = (2, -7, -2, -1, -8, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:92d5644ee76ec0359e449487a0476b1bae86c3ea7ddb2e6a4dcecb4e2f043f41"},"incumbent_state_id":"sha256:0ed669bb21eff1f52001ed997b715da7e53530c3170fa90fb485e07d86dc2efa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, -7, -2, -1, -8, 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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a7258a379303844b1c203693b95bb00e3d138b1c3b467963d30b2481d5c3e4b8","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000366"},{"accepted":{"artifact_digest":"sha256:ce456f8c6400d586f4f171992ef0b79ace83241f2395c05a975782e89bdf2b59","candidate_id":"sha256:8f71fa1644cdd95ea0003823e82dc3c4263f4cd609d3c06508b75bcb8a96508b","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 = (2, -7, 5, -1, -8, -7)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:b8a54c82319743d153548e6481b32ea020f4966ec29b53e5141d156ce5467247"},"incumbent_state_id":"sha256:1b4533cb108bd9cc5bab98e3c802d030ede91ce92c4be481118c1ad5e19d8234","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 7}, {\"input\": 3, \"output\": 2}, {\"input\": 4, \"output\": -4}, {\"input\": 5, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (2, -7, -2, -1, -8, -7)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1ea2b521aefdd1fba27d70f7c3a86daaedc32ad42a249ea1455d65167a47226d","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000366"}],"task_id":"vlr-formal-v2-0000366","trajectory_id":"vlr-formal-v2-0000366-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:653559453dd16ecbbfd2a16f5683beac9b9fb87a75e0150d95a74262e4e22912","sample_id":"sha256:4dd1194660e2160cafdce54508f520c3faee3764825771eced59e54380c06123","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:25b8ca8f9f62e706cae5d4cd2ffd8cfa947bb1d35176bb5450dea8bcef199c77","candidate_id":"sha256:e5f708abb8d2b162b368bacb164c1b41833272076aa87b1fbfad291b535d6be7","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":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (4, 8, 0, -3, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:28b2bb716d593062e30a6857b3d68c2495757cefa89d79ca163bbdc8c3c8a391"},"incumbent_state_id":"sha256:7d2d48bc7afe25df461785bc2381a1073d8c9da38cf37d9c2ee83d711d1ce151","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 10}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (4, -6, 0, -3, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:497ae9c64246d4f9929d5ec183f962d19fdec64976a58663835c6d858b15f629","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000367"},{"accepted":{"artifact_digest":"sha256:d14458af99dbce315adec331926a0c6eddc66ff9926a7f14a0d34d73add7a5ae","candidate_id":"sha256:52cb9931902bef9511a65fcee04045209ed8922aae3c751d4fcaa7795ad519b9","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":[0,0,0,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 8, 0, -3, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:c020a2b14db63bec41333ceeeb40f206132e02ec86b7f4ce92638b3b44171c89"},"incumbent_state_id":"sha256:e5f708abb8d2b162b368bacb164c1b41833272076aa87b1fbfad291b535d6be7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 10}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (4, 8, 0, -3, 7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ea12ae97b4e70d683722362b33a5e2cea1556cda438a7f9f8fb1f0fd7475c5fa","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000367"},{"accepted":{"artifact_digest":"sha256:7e921191ead0e174221baf5e6de032c16f531e75d541afdbb3f6fed18941117e","candidate_id":"sha256:ed31363ee95eaa56898c6dec8038bd564792d8788720d0506dfbabd214a7c4c0","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":[0,0,0,0,0,0,1,1,1,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-5, 8, 0, 0, 7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:426cd126e9970faf4bdfd6969ad1a4540b65d4b6016b5a1812fd9afd30c23806"},"incumbent_state_id":"sha256:52cb9931902bef9511a65fcee04045209ed8922aae3c751d4fcaa7795ad519b9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 10}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 8, 0, -3, 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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5c8efcd8b03adcae0db99dc105c6802638d91bd45aff66bd0b799ada651e6ca2","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000367"},{"accepted":{"artifact_digest":"sha256:7f432df6ce13fea1a529ea20486c1689618e4a172dbaff0bfa548a53f0bfe9f1","candidate_id":"sha256:5d74f66c67ce94fd6866759cbe9d7ad28c5a531756c1a42c9657d6e5fc4f1d09","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 = (-5, 8, 0, 0, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:39d67db9aa2556d8d636165a8f552bdb7fea1106a93781e1b52396388b71fd9f"},"incumbent_state_id":"sha256:ed31363ee95eaa56898c6dec8038bd564792d8788720d0506dfbabd214a7c4c0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 10}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 8, 0, 0, 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_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f268e75d9fac84ce4eb68e26f2d77c9de200d98a5e0037aeeb9b1039903dfa21","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000367"},{"accepted":{"artifact_digest":"sha256:c5b64575570ecaf22dad15e6dee16baee86290e4020cb809b63f77fba44f83ca","candidate_id":"sha256:4e3b68641d61f6dc48870cbcfd206494e5c50bcf60ec8682ea89719b3d0155d0","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 = (-5, 8, 1, 0, -2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:49b56b6a1273788ad32c5c7a4495e21c7d8b185a3f8495b19da1998545e2b0a6"},"incumbent_state_id":"sha256:5d74f66c67ce94fd6866759cbe9d7ad28c5a531756c1a42c9657d6e5fc4f1d09","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": 10}, {\"input\": 4, \"output\": 5}, {\"input\": 6, \"output\": 6}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-5, 8, 0, 0, -2)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:01dd71f02558ec91bbdc34d15d796eb4e91b1594e9d026cbb98602bf1cb64651","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000367"}],"task_id":"vlr-formal-v2-0000367","trajectory_id":"vlr-formal-v2-0000367-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:ace23a38c4919ec88b2f530a4bdf4809d87b5a7a72296b0026ef49555cfb67d6","sample_id":"sha256:052fb443ada190860354c824c9df04ee7c1bda3cbb4a49f5eb04bc364982a1e6","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:86a6d25c49b2189aebf137e022a56ef713c20449d1115e89b3b68128ba03f800","candidate_id":"sha256:22e2b6a875650fe43917e6ebe5cd7a082d87204911415dde64161e96c9496083","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":[0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-6, -5, -3, 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":"sha256:6eace01991aac364453caff8e287c8fef4d4b184e0f0139825dade08fa339c65"},"incumbent_state_id":"sha256:56b921ec0d63fcb3d4628eaaaad01ab328e66083277dee27ae276cc205945923","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -33}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (2, -5, -3, 5)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=12\nfailed_obligation_ids=[\"piecewise_bias.protected.case_000\", \"piecewise_bias.protected.case_001\", \"piecewise_bias.protected.case_002\", \"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7fe8dab0dbadc0b3df309786f73c223be20bad67f8e8db82e957a6d14a4102e3","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000370"},{"accepted":{"artifact_digest":"sha256:4fb22e9d3b55e2256ee80c448256db09001ccb667e03a6bf6f3afda41585d8ac","candidate_id":"sha256:17dab6307b8c8c15f11f962b5c64f0fcf8cf2ad171f7c97422bfadc4e7cba9e6","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-6, -5, -3, -1)\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:d794726758014d542167a9388752085f4e8140455187c06e020e3a8a93b45d30"},"incumbent_state_id":"sha256:22e2b6a875650fe43917e6ebe5cd7a082d87204911415dde64161e96c9496083","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -33}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, -5, -3, 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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d486a43bee3799aa27b39496b817d15bec1334ef791985356ebc48b16454cd1a","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000370"},{"accepted":{"artifact_digest":"sha256:f39c0186bf65513aafd12bc8cd8898a3fc6edc80453d2177f1f62614f342daba","candidate_id":"sha256:31053caecdc2da3042dc89ae1a7c392c8ae96d12da58b2bd933ca53bf7d14948","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    offsets = (-6, -5, -9, -1)\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:fe407f29644f8bf13d420d7ddb4db4aeee9c3ab2c273a2d2b0efa2f483570d99"},"incumbent_state_id":"sha256:17dab6307b8c8c15f11f962b5c64f0fcf8cf2ad171f7c97422bfadc4e7cba9e6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -33}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, -5, -3, -1)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:6632a0102a0757e0e146fba20b73333eab2eecd268d7bc6bdda4ca31c9749630","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000370"},{"accepted":{"artifact_digest":"sha256:c49c9a4abc1894a6334c8590b216513ac1cdc29c20bf7ac3a228c7995f563222","candidate_id":"sha256:c2255c39e440c868ad19f9f70a2ced87ac5b3f79fc195ae9fee9911c135e9f2c","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 = (-6, -2, -9, -1)\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":"sha256:259604c5f2a7a2b1aec6489849c86842090e2a44122d2e9c789c04909a8d8768"},"incumbent_state_id":"sha256:31053caecdc2da3042dc89ae1a7c392c8ae96d12da58b2bd933ca53bf7d14948","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -33}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": -6}, {\"input\": 27, \"output\": 26}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-6, -5, -9, -1)\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_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cdfe05688b71ff96322663d9acc1acfda4b0778bd928fdbb6a8dd56ed4f94d22","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000370"}],"task_id":"vlr-formal-v2-0000370","trajectory_id":"vlr-formal-v2-0000370-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:7b4db873c47666778f239716e1167cf4e34d135e91d9cfb3b8d3d3eece29ab17","sample_id":"sha256:ceaa0496564d0cef219fff01d57e82cc52efbf825bc9321e00eae5e5c8c529d6","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:9d4f745d088885b18234b1d22f32503d05b4a3953fd08060206eb37ee57a7898","candidate_id":"sha256:07fdbabfdf63416f4198e36da55d47274d8df91671ebc9048fd67549a99c1769","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 = (5, -2, 6, -7, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:733ee72d0c44219ee2de1a5703aaed4015b3b65efd8a7918eefbee2479d3245f"},"incumbent_state_id":"sha256:7b7b14bc3e3285776fbb7de2f494a15f4079a32efa3ad334697238b689be8c93","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, -2, 6, -4, -8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:15ece3435eaca25d2bd34cd8924d70dceca3ccfde7ca4c656e8800a740548f3f","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000371"},{"accepted":{"artifact_digest":"sha256:4116f50c555395a85b21ae96a501e3457b6c9a967255edf940bc065606f34b61","candidate_id":"sha256:a52a62826a2e523016496b27d3d9b4eb257baac0ea352743136c1cfc751a7d58","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":[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (5, -2, -5, -7, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:9fe75627d2ca5d4815a8de5156ba80eb58324d2701da45eb97acf5529731b0e0"},"incumbent_state_id":"sha256:07fdbabfdf63416f4198e36da55d47274d8df91671ebc9048fd67549a99c1769","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, -2, 6, -7, -8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:7b8bd16c72e0c0ff8695cbbe3f7809578f1cfdadef1c2d3af10e2f4fd5b36cbe","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000371"},{"accepted":{"artifact_digest":"sha256:6c7d80c122ee6cdb19c5b1f565d222de58a53f1dcf8b9a8633459239ff7e9e22","candidate_id":"sha256:f2c155e5fc5efdd84f7654f1dca2da9b4950bb9b4f347295ea8305bc9c98d2ea","certified":false,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, -2, -5, -7, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:172b5b64ea3c76e49f6bdb59cf2d528be53a430b0a5fe6cdafe9c789ddce0b1f"},"incumbent_state_id":"sha256:a52a62826a2e523016496b27d3d9b4eb257baac0ea352743136c1cfc751a7d58","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (5, -2, -5, -7, -8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=9\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\", \"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:de658510e4c8c8db9427fe6082f4f3d59743e87151c0c4249e7beff268efcbbb","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000371"},{"accepted":{"artifact_digest":"sha256:7a8f4c92c355a51cd9cd3d2bbb2a798b82781a1ed1e41fb77c054dd10370219f","candidate_id":"sha256:fe5558f34e4c5d859d52c54723626f6afae74fcfe6caff6cc5062b0d180fa5a3","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":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, 5, -5, -7, -8)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:c2ee33868af99e31bbf278ec3274a4e73ead29480133dd7868412bb133accd79"},"incumbent_state_id":"sha256:f2c155e5fc5efdd84f7654f1dca2da9b4950bb9b4f347295ea8305bc9c98d2ea","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, -2, -5, -7, -8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=6\nfailed_obligation_ids=[\"residue_bias.protected.case_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:045c156a969581bdcad3b7bf840e0fdc33d27d31a7ddbadb7ee8c5c34fe869e2","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000371"},{"accepted":{"artifact_digest":"sha256:20f79aa1213f8c3e734308354406e71a1264b399661ed30462797041fe5434c5","candidate_id":"sha256:d20400811e586bba46f29adca7c580fa21ff6c11172acb71ffdc03a35bef2ada","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (1, 5, -5, -7, 1)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:24b7f62c44bc7e18f7011463e4a591f270b542c8dc7cab54b4c2d3e85ac1ceaf"},"incumbent_state_id":"sha256:fe5558f34e4c5d859d52c54723626f6afae74fcfe6caff6cc5062b0d180fa5a3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 6}, {\"input\": 2, \"output\": -3}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (1, 5, -5, -7, -8)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_012\", \"residue_bias.protected.case_013\", \"residue_bias.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:48416c6fd3162ad5dffb82fc438fb11477381debc0f657f9a3faaa29256e67b4","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000371"}],"task_id":"vlr-formal-v2-0000371","trajectory_id":"vlr-formal-v2-0000371-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:f137742f4ff655ef2b0686b80df551557c3a97f43dac6866e2e702fcb541c064","sample_id":"sha256:7297ddc3cb33eaa8959fc06cb57fde5b818c0e075ce86460ec2f37c471edd731","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ec5c6442e4b7eb066b834bf0b79d7f479ad19d7b5e93cdb242a120e64443610b","candidate_id":"sha256:225a934f4aac3f97498b1af480179c18348ab367bab9b33c66206539cb218f7e","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":[1,1,1,0,0,0,1,1,1,1,1,1,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, -6, 1, -5, 3)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:25be17df8facee89224f81c1aaeacc3fc96b775b5ca9942f171893b274ca823d"},"incumbent_state_id":"sha256:b58aaa95ebf0e1d59f649b36f53ef184226701daa3479c94e966edaa13486ed5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, -3, 1, -5, 3)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c77728d556bb8c16a2f25cb735662ee1b8c61b9353870df1fde53b2eb291ba28","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000372"},{"accepted":{"artifact_digest":"sha256:83b5c47d6f7bafe6c02709acea554a35b9c169900763cda3fbaf92158bb4c783","candidate_id":"sha256:aa28b5fdacf11985d77e28ad911de8d4594da9d62f750b5f6bf0b67f73f5f3ed","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":[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, -6, 1, -5, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:3d9b51c455bb8cb83f71cc5f29e640decfd28f0cbf0bef89bd8f1cc9622ef68c"},"incumbent_state_id":"sha256:225a934f4aac3f97498b1af480179c18348ab367bab9b33c66206539cb218f7e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, -6, 1, -5, 3)\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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c20107a76cc66505ea2ff0a407d55e5beb743873df8005f07ee99a7d9bbbbdf7","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000372"},{"accepted":{"artifact_digest":"sha256:0a5e0f33d52ec2fdaf6c742ae16cc3aa87a979a4a347805354807b4488d40371","candidate_id":"sha256:6bbc62ac895a2a21531858f9eebe3c09f4ed84367d4b133e56ad96bc4e370cca","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":[1,1,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (1, -6, 1, -6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:c40d99935bdb1aca0f573625c2f2ddcfea38ce45f2c8c75122a0c83d07ed2c64"},"incumbent_state_id":"sha256:aa28b5fdacf11985d77e28ad911de8d4594da9d62f750b5f6bf0b67f73f5f3ed","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, -6, 1, -5, -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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a016718cc7cd27f6c7efe0b063d421c115209c9f4bf051a021297de05ca04970","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000372"},{"accepted":{"artifact_digest":"sha256:6edef702e03606adbe317adfc6d40a32e476b9abcdcfd083af35b0bbce19eeae","candidate_id":"sha256:139a3744c6370b08051a434cf8428c85f98db3f460a9794667c7295e83963e8d","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (4, -6, 1, -6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:31e575885a9caba3816c8e5e71d6830890960e4c8b119db3462709ab2bea5dbe"},"incumbent_state_id":"sha256:6bbc62ac895a2a21531858f9eebe3c09f4ed84367d4b133e56ad96bc4e370cca","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (1, -6, 1, -6, -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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:94ad7f96a05320d32a2729983cf4f4ebed1a7a87c4f2cbaa6d6f9d525ae5fcb2","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000372"},{"accepted":{"artifact_digest":"sha256:72a5df8d9084ac0cf9d4ddf34e88057d4af18703d94d9ecbb145be8bb7e634ab","candidate_id":"sha256:8d7810ce01c3e889b1e2dd7c41c23ccf4114edf0e3a92efc6ea7b25489108fa0","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, -6, 7, -6, -1)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:f06fdbb14999a5c50791d0c1ee51ee8d717af87c8583a863cefc91681aea74d4"},"incumbent_state_id":"sha256:139a3744c6370b08051a434cf8428c85f98db3f460a9794667c7295e83963e8d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 11}, {\"input\": 3, \"output\": 3}, {\"input\": -1, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (4, -6, 1, -6, -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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fa1196302727907ba3bdee21b00b962a6fc209d799ece0df26b5e86f3c3703a4","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000372"}],"task_id":"vlr-formal-v2-0000372","trajectory_id":"vlr-formal-v2-0000372-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:97ba794988356984184deaaad41a7ceab3267fdbe506adf67569a64a8c7bacbc","sample_id":"sha256:a30f5090bfa1bdbef96afa3da190f2d1b7451d2db15d47bc7eb438b1edd43709","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:994a77dacc4e980ee31f38c8c0afb4799270c630ecbe8bc9f705cce17dd5c653","candidate_id":"sha256:08fb2c3d28d3d2c9ebb540dc0dacbb22bff8d8e1de0e544780b5c7e3169366e4","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 = (4, 2, 4, 2, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:7110a88055bb3e3883cc0848499e6ad8152c8750d9518ad530deb218e1dd9754"},"incumbent_state_id":"sha256:ff2678b0424bc8252d523a9afec70cab2a8342db4c3e6c1c02c7f36a3eae8c7a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 2, 4, 2, 8)\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_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b1f730431474f5067f30aa1d567c074ec0023007f81da6b5dccdd7e021d4ea59","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000373"},{"accepted":{"artifact_digest":"sha256:690bd6f3536a2128a2e3eb0bf347c283cd25d5ba73be8ae8d55feb56eef400bd","candidate_id":"sha256:caf7b27f9764700a3bd8a3a7daf53659e519c6332da7be704ce89093b13f3f36","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, 2, 4, 8, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:58e39857f672483da1cfb968accb80f9fbf9d9e28a666aa75e3ee19f000cc1ab"},"incumbent_state_id":"sha256:08fb2c3d28d3d2c9ebb540dc0dacbb22bff8d8e1de0e544780b5c7e3169366e4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 24}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (4, 2, 4, 2, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:31271f528d61332b6fe41eac88687f272c9511cd31bbf985f47850cda8efd1a6","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000373"}],"task_id":"vlr-formal-v2-0000373","trajectory_id":"vlr-formal-v2-0000373-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:81ecd70536993fa02bbf2ab771e936840838b7a4c77b174b5fc9de88ec7d63f8","sample_id":"sha256:0eb072d17aeba43e5ebb87a697ecdf607ed54a32101a1f9e5c43e50b00a1911a","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:83ccf7d7e7f486ca16f3bda4f273bccf51e35acdae3e8d743c7e42e13f3cba8b","candidate_id":"sha256:a0ea4414dd046cd4b2be848c9c16a64b6f6a6bb65c65c250eaeb7c015fa66ab0","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, 4, 13, 6)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:10e27bc5a1e68ac19e03a510a2fa2155b34012e1bbaae7593bf62693fceaa24e"},"incumbent_state_id":"sha256:3c1ed3aa3394d414f110d88c2171a931316109442fc94655985acd4227743cad","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 5, 13, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\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\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b16a3d3b4a79297d148c6d5ae9a542e7c8f70c4a9f600f7c447160f457ae2aa6","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000374"},{"accepted":{"artifact_digest":"sha256:c76f2fa5a5abfe295e99daba996b63c464e3ea2d152690e6613e9b3428631d7c","candidate_id":"sha256:cc38e400acb49cd0f3b2f191ba09bd8c7c43916f3c9b24d1777a0f32750a2d26","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, 4, 13, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:af73191ce168310d61c4137bda99e5f3069d88f7313e8d20807ed18bfcbb7f9d"},"incumbent_state_id":"sha256:a0ea4414dd046cd4b2be848c9c16a64b6f6a6bb65c65c250eaeb7c015fa66ab0","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 4, 13, 6)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\", \"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0fb569a2726861a108e031de0e83a18f35d47a239da6c6dfced4f92c68d7b7b9","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000374"},{"accepted":{"artifact_digest":"sha256:df56eaacfc849615c50d86fa40ee1d2969c1a1c9049b73e1586ea5e0346b8974","candidate_id":"sha256:af940de22983ee28b342dd8ad6c2d7cf2578847764dfd16a438caf879f7d0160","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, 4, 14, 2)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:eb8e75db62a059bdabb35f7dd94e4c84d325be8fb07711a19d1005f92f260d21"},"incumbent_state_id":"sha256:cc38e400acb49cd0f3b2f191ba09bd8c7c43916f3c9b24d1777a0f32750a2d26","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 12}, {\"input\": 3, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (5, 4, 13, 2)\n    return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8cd7c4575cbcecc7a5da60e95607b13aa3ef6945900cf9893c8e2d204c986c07","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000374"}],"task_id":"vlr-formal-v2-0000374","trajectory_id":"vlr-formal-v2-0000374-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:2724ebf06e79689f8fb55b32d9dc3b91b3efe4ee6535ceaa305dd53db0421f30","sample_id":"sha256:1e8353547bd91367556a8bd38e805e7b6acb862beed9d41e7d27db39c2fe8c69","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:7e1b7888e12c9a1f56f020e7f18d718b9dca7c9fcb36994c949bca0a03c5425f","candidate_id":"sha256:0c376fdeed403077934ad9a58f6e30ebc759e261b427a0992d4b708fec41ffbb","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":[1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 6, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:9700e53fb4e8b78afe9ea47a9f9fe419f6ab8adcf7254561c6e7c8cf0adc53f6"},"incumbent_state_id":"sha256:8abba4e7e108151b348ec071163b0807a343d6dff922cc2bd15cbeb3bf5f28f7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 6, 1, 4)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"fsm_delta.protected.case_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\", \"fsm_delta.protected.case_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\", \"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1ba1a2be807fc6ee4bfcc6f9ca2c1ea01fd2ebb92f1de8046f6d0dbfc898eea7","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000375"},{"accepted":{"artifact_digest":"sha256:4563d08f8eb78f8564ee90a3f5aa238076b11d664086159f564905e152b41a62","candidate_id":"sha256:b2f5cd3306e71498566924a37fac905379cfd0d77b826ede6a7ee383ed8863d8","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":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (5, 6, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:be061f83235bf3ba42d700309e367d9115219722ecbaac942abd6da3853cf972"},"incumbent_state_id":"sha256:0c376fdeed403077934ad9a58f6e30ebc759e261b427a0992d4b708fec41ffbb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 6, 2, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e7e2a2bc527801c8777c98cb46bb41dbdf3a33e6b0e20f1e975a9d34d7a9ea10","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000375"},{"accepted":{"artifact_digest":"sha256:43df099cb5ac249bbaafd9152a00fb0fbddae48f6e83dd34f8d6c81025445532","candidate_id":"sha256:ab2e30e67bd1af0c938d77ba539a2d1881872461fdca29813ff51b467bca1ebd","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, 1, 2, 4)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a78436af7611f5c55c3dd963d49de77ed1d513e7a47f4ec355493e373daba010"},"incumbent_state_id":"sha256:b2f5cd3306e71498566924a37fac905379cfd0d77b826ede6a7ee383ed8863d8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (5, 6, 2, 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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:334fb4780b013d0e87a57bb3b5afb8f7086b02a8e51a64adf7a1fc1833bdd00d","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000375"}],"task_id":"vlr-formal-v2-0000375","trajectory_id":"vlr-formal-v2-0000375-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:4cd6aac66bf8ea1f8e541f4456c125176497a9449e0a5c98200546e43bf0ca21","sample_id":"sha256:e057b98c808f27596ea6915deefc170fc6d60e063f25a02254ddc02765ec4acc","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:dcfc08911d587ce84cafedac28dac8a2b21a89d1ffbdb18a399e3eb8f5d5cec0","candidate_id":"sha256:944b2b86e03351288527cd586b8a382c06be9b0c36da67c477d40ab0e81c9ae9","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 = (3, 1, -2, -2, 3, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:ad05c827e849f98faf817ca33416eaaf5dc769f6ab18fd357c98fa26e5c1a7e3"},"incumbent_state_id":"sha256:f48ce78cf89b132976220adfc49b566e93a6bbbd305d3bd5a85bdf1788573599","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -1, -2, -2, 3, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_003\", \"lookup_delta.protected.case_004\", \"lookup_delta.protected.case_005\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:f9ab238318cd0bf244d9cea0cd9f12b5e99f6891ce9cae6a6fc96954d5b4d122","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000376"},{"accepted":{"artifact_digest":"sha256:5f2599c0863a9ba786d3575ccbf25083949cbfc4ea9042864776316141c0481e","candidate_id":"sha256:0db797d6425a843a048a255d7322cc1f6dd1b416044dfad3f9a2443e3affa506","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 = (3, 1, -2, -5, 3, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:eef944d3b23d20548df756ac016d909f23fa914fa0d5d4702017aab0f342604d"},"incumbent_state_id":"sha256:944b2b86e03351288527cd586b8a382c06be9b0c36da67c477d40ab0e81c9ae9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 0}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, 1, -2, -2, 3, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1513ade5697af05f976d6ce106eec357aa46df0c96e2ff8fcb75f110ce2856dd","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000376"}],"task_id":"vlr-formal-v2-0000376","trajectory_id":"vlr-formal-v2-0000376-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":4,"record_digest":"sha256:b514c9150eeba68b9ffa7c20204f7c277934c75c116c033b544f7b5c6f1d919d","sample_id":"sha256:ba8da51f089cac36968146fc6bc4455914854e7dc9ef49429059bdf1a348960c","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:d2ee38c3af7408b6ac08791f6ef716c72193440d5a5ba1f6b9e9b83cf7bc1991","candidate_id":"sha256:f49b804af71365ff22ae25c9e8d595f3a9323c54db8ba0192f0f8b6304f441de","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 6, 4, -4, -1)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:ae31e0055a04e3e7cf3671cba7cd00af271963ff22e3b74d901dc31579df6b83"},"incumbent_state_id":"sha256:a72ce0a84d07be36a90eb95f498a31cd5ab1828c866238f53d7d53f29f9c6846","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, -6, -4, -1)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cf56601828948c5df2f40ecc400ccd40fce817855a6694ce34c08fb6454c9ef1","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000377"},{"accepted":{"artifact_digest":"sha256:b62c260a24b3b50378e5a769174d11c2bf3cbf54b89844d1959e2b8dbf7d407a","candidate_id":"sha256:32d4419e8ab0ba5d62404f8438d7f0a781431fa102f650295dc27044387bb486","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 6, 4, -4, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:71e673a5e27f02309023400307b58d75ec481b3e43744d39f9b0ddc19d85a515"},"incumbent_state_id":"sha256:f49b804af71365ff22ae25c9e8d595f3a9323c54db8ba0192f0f8b6304f441de","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, 4, -4, -1)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c6dae5d579b204a63ddd54f759b2b3bd9def782846b572bb0d710b95f000265e","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000377"},{"accepted":{"artifact_digest":"sha256:9bcfa11ec0bbeae3f0a4eab07c1be1aa471968a7bf03e1a260e55fed7b759ac9","candidate_id":"sha256:2ac1ed6a56a6005f70bb864a7f95d61f48b48eee50c1d112114b5bfea48d8ba2","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (3, 6, 4, -7, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1bc5a68d2e9d9d8915c97532d1a82b296f939d539e0daff27232f22f8e20fa89"},"incumbent_state_id":"sha256:32d4419e8ab0ba5d62404f8438d7f0a781431fa102f650295dc27044387bb486","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, 4, -4, 8)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:1e38ab8ef2c4260b2e00b635d7b71f56dfe542de74c7b9612fc2af8db3153a9b","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000377"},{"accepted":{"artifact_digest":"sha256:18c5f3535352b8948199e1eb4cde62f8c6ea284284e3ff90683de40d85852a64","candidate_id":"sha256:906c5715d29db1e4ed63463e3cf68408d03f131779f5b68ae39f86548fe838dc","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, 6, 4, -7, 8)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:079aa96cc935ee7da4d61ac86cce1d286061fdcc66eaca35b4622dd33fa74a38"},"incumbent_state_id":"sha256:2ac1ed6a56a6005f70bb864a7f95d61f48b48eee50c1d112114b5bfea48d8ba2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 8}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": -1}, {\"input\": 8, \"output\": 16}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (3, 6, 4, -7, 8)\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_000\", \"signed_bucket.protected.case_001\", \"signed_bucket.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:55ed7becf46fbd290222e74c9334f4a7c194d6a77c7031ef4c3c2d8f43d99fdf","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000377"}],"task_id":"vlr-formal-v2-0000377","trajectory_id":"vlr-formal-v2-0000377-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:e3eef3d9d8ba69635ed4a04fbfd7100a6bf9698b54fa6245529736f444bff782","sample_id":"sha256:c1199ceccc7fa4004931d3f5de081e79c80030b6116eb8ef90e9d6c7e2bb33a5","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:dffbbd7ab998bf7af657aec7b5f9b3d93913a8ca321ce2f874dae57f949e1560","candidate_id":"sha256:0479b47fe2b76b126942572b184dd75962bb39f279c31d3727bc1ee01d70e283","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":[0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    if x < -6: return x + (8)\n    if x < 0: return x + (3)\n    if x < 6: return x + (1)\n    return x + (2)\n","verification_digest":"sha256:1460305559352f0e1cd389c67e7632446018b93e7197bde15cb6cf1990053982"},"incumbent_state_id":"sha256:03c1d4b6743aab7b4527f7737d0ef44466027cd7e93a9a49138be73aaf07f071","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -19}, {\"input\": -3, \"output\": -8}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 29}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (8)\n    if x < 0: return x + (3)\n    if x < 6: return x + (1)\n    return x + (0)\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=9\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\", \"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:a07ab2d95f12dd698363f408f93e7986b726642c44a3ddbc0b774de328c28afd","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000380"},{"accepted":{"artifact_digest":"sha256:3adf605e8cf50d344d35c90d62bd5208818f94a7180ee3bc92a77c0e96225fa6","candidate_id":"sha256:cc808367ec32b7927acc458ec568685da5b971962aba62c505dc783ec11b9cba","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 + (8)\n    if x < 0: return x + (3)\n    if x < 6: return x + (2)\n    return x + (2)\n","verification_digest":"sha256:56558831a754b4f72c62031b5e82a27bc0592352ce7a7e7df4a7d8f14cb3f904"},"incumbent_state_id":"sha256:0479b47fe2b76b126942572b184dd75962bb39f279c31d3727bc1ee01d70e283","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -19}, {\"input\": -3, \"output\": -8}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 29}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (8)\n    if x < 0: return x + (3)\n    if x < 6: return x + (1)\n    return x + (2)\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fa0e9d2f4b9b2d4772b50b50fbd1e42ab745652da8b9c1fa1b231f31e1fb3e74","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000380"},{"accepted":{"artifact_digest":"sha256:ac7ed4cf6b2954a36e43ac62510346633a96016669aecb5e27a5d9779b037891","candidate_id":"sha256:7413df8fe2a86912959bfb6a7c4bdc492d2ae53540ceb3793dfc8f9a448b4ba7","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 + (8)\n    if x < 0: return x + (-5)\n    if x < 6: return x + (2)\n    return x + (2)\n","verification_digest":"sha256:2b1a0b50ed8e17d2458bb1423c6b8f7b008dc0d2484aa977ab4a93c772be72f0"},"incumbent_state_id":"sha256:cc808367ec32b7927acc458ec568685da5b971962aba62c505dc783ec11b9cba","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -19}, {\"input\": -3, \"output\": -8}, {\"input\": 3, \"output\": 5}, {\"input\": 27, \"output\": 29}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    if x < -6: return x + (8)\n    if x < 0: return x + (3)\n    if x < 6: return x + (2)\n    return x + (2)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:c584f78b71c1a8e76e335f1ba2d888a18f8c8d35597e6f3728dd76b119347734","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000380"}],"task_id":"vlr-formal-v2-0000380","trajectory_id":"vlr-formal-v2-0000380-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:f4ae04444629f9d77b9a0eb8cfc8e11428edfee2836bad4659881c79d5a7d4d2","sample_id":"sha256:da431797103afb5b41699cb2ea29a6a6bbae1ebf07ea2dcd92805c3950ae99cb","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:f75f9a0b6305a069a0827c1792377d4b200ce956b461190d8b64715d60f2e617","candidate_id":"sha256:aa96a3d99e76b410bc749bc559602a2d33fae089d8eb5a80c36d5268fc110e9f","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":[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (2, 1, 6, 3, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:1f73f5c61921e6523735e526a28ef78c8666d2cb8cca66f7424190294b24bce8"},"incumbent_state_id":"sha256:a4f6b50eddecee9258bbe30c16f569ffe2fe9d9298bd5e389c59fb402e206efe","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (2, 1, 6, 3, -2)\n    return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\nfailed_obligation_ids=[\"quadratic_residue.protected.case_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\", \"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\", \"quadratic_residue.protected.case_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\", \"quadratic_residue.protected.case_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\", \"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d306539ed14c3bd448cc5a59b8401a341097c737744c7d93cc6aad1423bca945","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000382"},{"accepted":{"artifact_digest":"sha256:5ab3cbc443e37fe33514feb0dc842210d63019fffd7205f0d0b49f142ae3f7eb","candidate_id":"sha256:89fb4e167c61060eddeee158f1578bcd0d9390b005d897aef190292d0bac3c3c","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":[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (2, 1, 6, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:199eec28dc34df1332f49293111e996a8169b83544675f86f62c556029c9f33e"},"incumbent_state_id":"sha256:aa96a3d99e76b410bc749bc559602a2d33fae089d8eb5a80c36d5268fc110e9f","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (2, 1, 6, 3, 6)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:cf22933606f5752fe0db7bf551052c677d5afcc984bfd1ee0c2c5ad16c3d8aae","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000382"},{"accepted":{"artifact_digest":"sha256:bea3af999dca2e108b1d5747036051ed1ac871a50cf565c85dfc4bc3d97a6cfd","candidate_id":"sha256:ca3735635bafb0e73191f36a82313d23e9d9150cfe08d8e1b5d0da6e36a61bc3","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":[0,0,0,1,1,1,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, 1, 6, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:a58b94ad770b201420842527ff9e3d01bac006ae997438b461e681a4e0b9aa1a"},"incumbent_state_id":"sha256:89fb4e167c61060eddeee158f1578bcd0d9390b005d897aef190292d0bac3c3c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (2, 1, 6, 5, 6)\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_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\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:76daf62af23f90e24aeb18b67ece57ec699508361e43b89acb20448446f867a9","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000382"},{"accepted":{"artifact_digest":"sha256:338437601ca56e576e2ad406d43744b81e79ce5ab424438ac22bcbb332b6c0ed","candidate_id":"sha256:b8d78a7e32fb4ba790c9a76d081af1e3b64f720f0058672e6629d27ddbb2c3b9","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":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (6, 2, 6, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:53ade4eb6422e1003896851ef3d19f174154fbff8f4b59eddb723c1ea6c4a9e5"},"incumbent_state_id":"sha256:ca3735635bafb0e73191f36a82313d23e9d9150cfe08d8e1b5d0da6e36a61bc3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, 1, 6, 5, 6)\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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:d066a78dc4c768b4ac7be6697ca31ed00d909bc9a0385990c0e965098d08e8c8","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000382"},{"accepted":{"artifact_digest":"sha256:242f42de08131041f6a4afca63a353468fffe517f2ba833eee6cbe57fdd56f8c","candidate_id":"sha256:ff33a6697de271911f885b05bc47d263c7d59689a6d8b3b495319d9b7f9ad84e","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, -7, 5, 6)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:2856c2ec0bd994a1b70772305e39f7bf981491a476d47e1d8b357926153c5949"},"incumbent_state_id":"sha256:b8d78a7e32fb4ba790c9a76d081af1e3b64f720f0058672e6629d27ddbb2c3b9","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 14}, {\"input\": -1, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (6, 2, 6, 5, 6)\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_006\", \"quadratic_residue.protected.case_007\", \"quadratic_residue.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:0d1ead4cddb83516b8cdabf915b31de125715f5d3ee824ee38a77df0257ca7e0","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000382"}],"task_id":"vlr-formal-v2-0000382","trajectory_id":"vlr-formal-v2-0000382-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:02a936e939c2e5fde6d3583a3cfcd55ca0f5e69077f4e9fc275984b6a3df95c4","sample_id":"sha256:c7977b147934ec48b4bd049a4e7eaf825f4d6636e49547f3a32fe385bdc450cd","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:4ab6ba6953ca956a753a51af311d7cb3c774e1d77494f2cb708e00c7976dfde8","candidate_id":"sha256:d0d6210e821b45832598098a189642fbdc6851e971dd721457de642658d349bd","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 = (3, 4, 15, 3)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:ea03a64c0d8a2c46f690f917d53cbc420aacf0d1e0c46ffe00af10921cd46715"},"incumbent_state_id":"sha256:20f29a10051af2449790be267ca4bc0470b9117b77798030b6217a31e6139aea","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 13}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (9, 4, 15, 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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9a3a571c36b2d77e3caaf1959cd3cd89fcbdb999adff936792f7d2e978c94897","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000384"},{"accepted":{"artifact_digest":"sha256:bdc345a4f9c9516a4638d3c9d329ff3e15d274ca630c4b6be675d5a8ab8b1bae","candidate_id":"sha256:ae0c3e3f7e684194bb65cf4ba1d2d3bba6722b75a8cfb5d36a442f6edb9c3d4d","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, 4, 15, 9)\n    return x ^ masks[x & 3]\n","verification_digest":"sha256:dc3665574e222fe05b6b65f3ab591f8517238d7f17b02cd62adb731fbb7d59b5"},"incumbent_state_id":"sha256:d0d6210e821b45832598098a189642fbdc6851e971dd721457de642658d349bd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 5}, {\"input\": 2, \"output\": 13}, {\"input\": 3, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    masks = (3, 4, 15, 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_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fe93099b32f0fa585bf7d9d755bb0f28e630c1ad855b1de8ba23c9f2fb974a60","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000384"}],"task_id":"vlr-formal-v2-0000384","trajectory_id":"vlr-formal-v2-0000384-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:2ccf1f4f5177891fc21838a9b8f96ab258b581d713eb35570df775c508a1ce36","sample_id":"sha256:c6bad2add5f040b94329628bc63152125b9e9c8e5f15959fba405b5f54ecb622","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:146bcd91abece213beb0143ef5c779cc1f36569dbcd49695279580e939f0bdf5","candidate_id":"sha256:376827d45f7ec00c26e1a8838501d1bff669d9eb5d683c521cb4d16eabb486a5","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":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (3, 5, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:a5e3130ec719aa31af3097e7eb54db49f317fe70e46da53b921185393ae94609"},"incumbent_state_id":"sha256:4ecfe3a49a79dbe892ac9d296a826ed14b5e56abf0b755d6e7c0b50abadf1337","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 6, 6, 6)\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_003\", \"fsm_delta.protected.case_004\", \"fsm_delta.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:49d01705d79b7cc5209f03a229dd95264d83c3213fb61e32a65e065205cb90ee","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000385"},{"accepted":{"artifact_digest":"sha256:41031ade5f56d6ff5f88cd1b4f3384770b0d375d664f322f9cc1c10673277cf0","candidate_id":"sha256:580b4abc2cd3b4f4d0efdc596ae77836a9c98164799c3e0d385d41e9d787d571","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 = (6, 5, 6, 6)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:29d34ca1e22fd005ee696cf6890447c2e00576eb5ec0aaf8d5acccef9368eebb"},"incumbent_state_id":"sha256:376827d45f7ec00c26e1a8838501d1bff669d9eb5d683c521cb4d16eabb486a5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (3, 5, 6, 6)\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_000\", \"fsm_delta.protected.case_001\", \"fsm_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fc3e126f1eaa39ace7625d1d91f4955b11b8c9c38a9a3e97ce6b3be2a480e34c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000385"}],"task_id":"vlr-formal-v2-0000385","trajectory_id":"vlr-formal-v2-0000385-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:102958815335a834df5988f943268608851f1bf5122c31f1931ffb10e5e321f9","sample_id":"sha256:4368595dd3bb1d4065ccd292f1bd10298288666d1af52a25eb10f179984f9d40","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:9cf1867a36c0fed57c7bc952ef82c62b77218b66bb57fea039667b27e7820d8e","candidate_id":"sha256:19c830f3bb4f8f81fdb8f06b85027ec3183e9c0037b9ace219b4ef19e0d24659","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 = (3, -8, 6, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f34f7a1360aeb05673a49384775460df7b89706bf7161f4d5abea00410c57952"},"incumbent_state_id":"sha256:12407231c3798399cf0cb2c06c77b1485f7c66bca21856fa53b98f030349f02e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 3, \"output\": 5}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -8, 6, 2, 0, 6)\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_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:08b4c2b804b0e4745c36e903246f0355c84c1e8b1bf6753c1545cd21232ab5df","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000386"},{"accepted":{"artifact_digest":"sha256:6cf9d5ff83b98ced4d389ade35bff0f2714346f6c4289c5bbdb451349f9d72b5","candidate_id":"sha256:6166c213a3de8cd9e71feae67922856ae27f4a7f671e2a4e62d2ef21030784fb","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, -8, -4, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:4f277d1a9bb62c7b08274129d8034ad351e4030f023525ae08e0e3e5b8a62346"},"incumbent_state_id":"sha256:19c830f3bb4f8f81fdb8f06b85027ec3183e9c0037b9ace219b4ef19e0d24659","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 3, \"output\": 5}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -8, 6, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\", \"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:034c83991883b28ff02c13a4760606a747cf85fafbf3980b5abfcce50722fa42","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000386"},{"accepted":{"artifact_digest":"sha256:0273dfef2e0f46395223483ed326fba90980057c21d4f70c5909570faae890e0","candidate_id":"sha256:c359adc2265c5ed2e1701de32aed11c2150c6feec2ac374531a7b25abe191f5a","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, -4, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:db30dbcd91cb95a279fcc966f34abf0c1beb32ecc8650db3e327797173b86045"},"incumbent_state_id":"sha256:6166c213a3de8cd9e71feae67922856ae27f4a7f671e2a4e62d2ef21030784fb","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -2}, {\"input\": 3, \"output\": 5}, {\"input\": 4, \"output\": 12}, {\"input\": 5, \"output\": 11}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (3, -8, -4, 2, 8, 6)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b345a27bdad6434d4c43cb0f4decabe451cf79968e3d2106d4eb9b03df7e5827","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000386"}],"task_id":"vlr-formal-v2-0000386","trajectory_id":"vlr-formal-v2-0000386-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:7e96a796a38017a74693c53cfcbd6f449b3a072f31f66075d8d8cb2c08b82654","sample_id":"sha256:8b69898f1968b4b452bfda1471663b3aa9860992e58adcf7d436d65b9c1eeefe","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:dc8eb8a3646676d738e1064d5b3e26d162aa445322cda260b111093790f28d9b","candidate_id":"sha256:7fa7c181e381d3ca574297b0c9f2778bb0c78581b4a580b22d82a2af21151843","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":[1,1,1,1,1,1,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, 6, 5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:64706e0884899eb5b6bbc9d53d2847bf9dbb9da1a2b3c5617a7192cadfed6fc5"},"incumbent_state_id":"sha256:63d4253b95969905d5cda8ba89e2706a9d884d42dcfd6da95ba4d63b30223606","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 0}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 6, 0, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=0\nfailed_count=15\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\", \"signed_bucket.protected.case_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:3b4f83bab74bddc03d67e3a6735b420b3610a766174bde1f61d72cd157ab150f","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000387"},{"accepted":{"artifact_digest":"sha256:b8990270952bcc1f42eb6e4fab28e3ef4785bb67ffa55a9f6e9d2bb13db03a46","candidate_id":"sha256:fec1218c7474267f0a326da7baf47a9dbaed70a0ad900d84ae676bbc2a657fad","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":[1,1,1,0,0,0,0,0,0,1,1,1,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, -5, 5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1272e1656d567affd72365dfaa1f9597efe3b82d2090a243e6a978beab9fc807"},"incumbent_state_id":"sha256:7fa7c181e381d3ca574297b0c9f2778bb0c78581b4a580b22d82a2af21151843","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 0}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, 6, 5, -7, -7)\n    return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=3\nfailed_count=12\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dbfe2532b19f10bacb72a1f0ff09468c10ca8018318dff955cdc2193d776b0dd","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000387"},{"accepted":{"artifact_digest":"sha256:67c20a233815de67d86b1d7a58e3d340640072700eef068deb737f6d9975d5ab","candidate_id":"sha256:e6ee5966b205aba2b65ea5d6c61dab211990ed5e02f58b892362beaaa4341f35","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":[1,1,1,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (2, -5, 5, -7, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:af50f5699d21f48df259547ad133bc828fca3f6cad6142ee35e08a6a9b798bfd"},"incumbent_state_id":"sha256:fec1218c7474267f0a326da7baf47a9dbaed70a0ad900d84ae676bbc2a657fad","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 0}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, -5, 5, -7, -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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\", \"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:67783d1b524484ba574920b966925fe44fb642d56c4d95c96c921b164a440f60","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000387"},{"accepted":{"artifact_digest":"sha256:1fee01ce007cb4decd7666b1383a6602b8fe07f6207a5b9c41255aa622a321c2","candidate_id":"sha256:f8d8507529ecfc7fb6db7a4af0ca8fd5258b9232c3319aa3242d48f1ce743376","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":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n    table = (-8, -5, 5, -7, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:2090bcc9f32dcc7785791392db656fe64cc1f4b04f29766f2315e995b77c7889"},"incumbent_state_id":"sha256:e6ee5966b205aba2b65ea5d6c61dab211990ed5e02f58b892362beaaa4341f35","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 0}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (2, -5, 5, -7, 2)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:afed75fbe206727a54576a75aef1a8b242e927f375ff2c98ec21f048c14f1198","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000387"},{"accepted":{"artifact_digest":"sha256:eab2e859ada271ac8b20d1bf4c551df6feccc9c3f7573d42462d8c4af42a0da6","candidate_id":"sha256:77b9f0f6329d3d5bd1c6fb9533085ca619f78cf4ad7e02d52d34e1bac45fb2b3","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 = (-8, -5, 5, -6, 2)\n    return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:f184fde3b03d34d72d1c1f298b33a5b44e76ef8912d9884d51c749355598d40f"},"incumbent_state_id":"sha256:f8d8507529ecfc7fb6db7a4af0ca8fd5258b9232c3319aa3242d48f1ce743376","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 2, \"output\": -3}, {\"input\": 4, \"output\": 9}, {\"input\": 6, \"output\": 0}, {\"input\": 8, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    table = (-8, -5, 5, -7, 2)\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_009\", \"signed_bucket.protected.case_010\", \"signed_bucket.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:fd57f874ce22de6c45456cd8d420e453e5fee12b6e701ae415f8d8e3fcfc10dd","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000387"}],"task_id":"vlr-formal-v2-0000387","trajectory_id":"vlr-formal-v2-0000387-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:7711b46d184c2797806c793dd7e6a03c7ae35f367458b44b53276dc856576217","sample_id":"sha256:c34202d8e0e4b670f2c229c1fadeabf0b62bd6804aef0570c872e02b2db5b402","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:83b4863439fd82a6440fa6842f87517a15982c502b00001fd519dd7807343aac","candidate_id":"sha256:06c85aebf9c3bc7dcd3ae05f239af2866e6b56f4f5f81d37e870e4613e9faa39","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":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n    offsets = (-4, -5, 8, -7)\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":"sha256:7a3b283cd02589348c68716cb870b35d940d087d60aeabc7a709f1dfda537e33"},"incumbent_state_id":"sha256:5ac475697dfcb48c0d44bcdd3ca45fe92cd81346099a3e288aa80cebf1037bf2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -31}, {\"input\": -3, \"output\": -8}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -5, 8, 9)\n    bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n    return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"piecewise_bias.protected.case_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\", \"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:ba557b7b5818d31a42e3836e712f5a54c63af9a5f9b091777434bf87c24ccc97","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000390"},{"accepted":{"artifact_digest":"sha256:facb014889138c26375b1ed46b5e2a29f989aad5a20e1f2303ae2792cfbef5f4","candidate_id":"sha256:655dc6bd7a1041c392c0fcb6d0387247094c0b2f6a4401c37a89cd272e9c2fa8","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 = (-4, -5, 1, -7)\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":"sha256:15fc245ccfe8d38da9f85d4ffd2f10332060978f71e93779244da98e838311e2"},"incumbent_state_id":"sha256:06c85aebf9c3bc7dcd3ae05f239af2866e6b56f4f5f81d37e870e4613e9faa39","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples 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\": -31}, {\"input\": -3, \"output\": -8}, {\"input\": 3, \"output\": 4}, {\"input\": 27, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-4, -5, 8, -7)\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_006\", \"piecewise_bias.protected.case_007\", \"piecewise_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:9a404de376b9f80fd16ffff12c63b44a3d970678414dd098827c16f8ef59f131","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000390"}],"task_id":"vlr-formal-v2-0000390","trajectory_id":"vlr-formal-v2-0000390-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:18ac4a53c431aba8d76290b85fa779a5dff781ea466826f34164115969292e1f","sample_id":"sha256:d17a77e4a9695b724253c5ea2da261123b8ef217adc537959ae97e1b40d5def6","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:b6b71fcae0b481b9bf0cd4b9cc2a81d5b6ff98e3664e75cedbe12f377fd6211b","candidate_id":"sha256:28717eab6b272ade6c62169031e30b575145a444f5a5b262f08cfd3ceb351bf7","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 = (-1, 1, -4, 3, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:3a5a5507a0622ff9fae7059aa40fa2609efd0c68c90063721c010ec73059aa03"},"incumbent_state_id":"sha256:1d78c99735fe89dbe29d6f1fdbc8dc6e77218ce6cc50956ce7847340c7b31a2a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, -7, -4, 3, -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_003\", \"residue_bias.protected.case_004\", \"residue_bias.protected.case_005\", \"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b088fc4f407782364cb0c0d93dcd477c66c2474aaa7cd9691b9abb39329cd5e2","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000391"},{"accepted":{"artifact_digest":"sha256:3fbf5f47d3c609b0a8b6891e5af3845bc7f11146a9567c28f7953ac79de94cc0","candidate_id":"sha256:86e39a1f8d5ec1375cd4861924573415e09a07d2ba23491fcbcbc12402562d1e","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n    offsets = (-1, 1, -4, -7, -5)\n    return x + offsets[x % 5]\n","verification_digest":"sha256:89c5e27442addcae89a849bdfe8d208f3b3448347a701e81397273c4c14df197"},"incumbent_state_id":"sha256:28717eab6b272ade6c62169031e30b575145a444f5a5b262f08cfd3ceb351bf7","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": -4}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    offsets = (-1, 1, -4, 3, -5)\n    return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:8246c894f4abec60b113d35fb4f209636810cf614ac04b6da8686effa4e1375c","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000391"}],"task_id":"vlr-formal-v2-0000391","trajectory_id":"vlr-formal-v2-0000391-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:f60a9bb532199a57b57b259cec6e3eb97d10ffb479aa39ce2538123c60da0441","sample_id":"sha256:b05695c95628a4d67030207a57acadb9010232a191517c766a3793f83651afe5","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:3869a950e2dd8f9ce13ec2557c045b0310cc65133aee68e9bc202baaaaabd437","candidate_id":"sha256:8101e087c45bb5b519daa6ad8e6ed36c9bcb9c6d81c553e49a9aef821302bd11","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":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n    bias = (-6, -6, 4, 0, -4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:94cb266e16e7e43bf95c7229b4297b8d3b84f4e3bc4a1663aa618a3efad521da"},"incumbent_state_id":"sha256:a5abc3b9bd8818d2fa166f3d1d9b4b0bbd96584e68166e5371a3cd4975278474","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -6, 4, 3, -4)\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_009\", \"quadratic_residue.protected.case_010\", \"quadratic_residue.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:599e12766adf38f0cb434aaeb9ab28b7a65bbf67fbb3eee1a9b67d9945698bfe","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000392"},{"accepted":{"artifact_digest":"sha256:771854a01718359a668fd9b4661c96f4c7b5694dda6def97e67ab992a12ac919","candidate_id":"sha256:d3a2bd4268b161228f2b3b844f1586435243598b750d3b18061772c0cc2215bf","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, -6, 4, 0, -4)\n    return x * x + bias[x % 5]\n","verification_digest":"sha256:5fb1ec34399ebb2af51678a99376bcc725853e12355806af9315d4157d8b34ac"},"incumbent_state_id":"sha256:8101e087c45bb5b519daa6ad8e6ed36c9bcb9c6d81c553e49a9aef821302bd11","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": -5}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": -3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    bias = (-6, -6, 4, 0, -4)\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_000\", \"quadratic_residue.protected.case_001\", \"quadratic_residue.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:4f95b4b0264e6b33fff118a9f55695b62134094bea7cee676f7ea067e3b4ba2a","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000392"}],"task_id":"vlr-formal-v2-0000392","trajectory_id":"vlr-formal-v2-0000392-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":5,"record_digest":"sha256:4bb389afb4d97d8b31eb5c2ab552aea69fc7f14ba42c2860982eca0a86f2f1eb","sample_id":"sha256:7dadb6e673f7bff1a8d0251692fd4c9e5f23741070925e5cf715ae02462ba04d","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:725adadb9cc0af2e14652b3c3222ef53dc03daf596ad1fbc3f76ca4b987efe7e","candidate_id":"sha256:80cd0ff3c666995decf1aabc216459f9b31b1f003eca7b6e54ed73f7ea6b5223","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 = (5, 2, 6, 4, 7)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:ab146ed8c8cf72933490f986b822f9a74cd64360f08a1ff7ddf9739792a4bb99"},"incumbent_state_id":"sha256:9a7f3f1a6b6be5eb2afbe78173db59b277efa938ac0189f207a6328d6cc93840","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 5, 6, 4, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=1\nfailed_count=14\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_003\", \"mod_product.protected.case_004\", \"mod_product.protected.case_005\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b9d57e28dfa2ae116907b0dc684e3a0088ddf60c5536e9c55782967e44192faa","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000393"},{"accepted":{"artifact_digest":"sha256:d6db272be2e8f669b1a3b36a4c6fe9caccc5f834a06a13b5315cb29c4f48573f","candidate_id":"sha256:36e22676944f60a9b3f06e55196ef96087c47f3784b9a93595871ff18cb3b3d3","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":[1,0,1,0,0,0,1,1,1,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 2, 6, 4, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:05e719a6ccea59471e8ded083412023c86761e4ccdd93166ecd9e0ac26e73133"},"incumbent_state_id":"sha256:80cd0ff3c666995decf1aabc216459f9b31b1f003eca7b6e54ed73f7ea6b5223","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 6, 4, 7)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=4\nfailed_count=11\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\", \"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:e81b5921ca5edbcfdcca9c0e853e47f93b1e272e5edac1249dac53463a153291","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000393"},{"accepted":{"artifact_digest":"sha256:ac88e22b079570fe24be1b72ba0ec65c8ac0b5e100de62bc0d7cc174f3e88701","candidate_id":"sha256:58d97c5eb1177e912f81b5589668923f9770441ae214318ebe43465a4b749920","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":[1,0,1,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 2, 6, 5, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:54e5598182f8e64e360b8d04d8ab531c3161f2f67a552c67ad8852329426ddd7"},"incumbent_state_id":"sha256:36e22676944f60a9b3f06e55196ef96087c47f3784b9a93595871ff18cb3b3d3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 6, 4, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=7\nfailed_count=8\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\", \"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:53f8f010a4577387659a12720a69116933200430c9961f9d3d970a78f2faf5ca","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000393"},{"accepted":{"artifact_digest":"sha256:5c6eefb339f5ba14461e3c7dd763fa96e98d231bb2b0aea97c42d4e07ea24087","candidate_id":"sha256:2301b3b5f1d8900ee1ebc59430c191dbc93eb83af2dc3688c1ff84e9e850f7d3","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":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n    factor = (5, 2, 2, 5, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:a37859a2c9e0fe02fd01cfce03e320cfd0fdaa22c18567e913d9632663eb7bbb"},"incumbent_state_id":"sha256:58d97c5eb1177e912f81b5589668923f9770441ae214318ebe43465a4b749920","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 6, 5, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=10\nfailed_count=5\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\", \"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:072c281c7ba0ace5d4c14370ae46e0835a5eaf51fe0dc47647bab69041a1e245","split":"train","step_index":3,"task_id":"vlr-formal-v2-0000393"},{"accepted":{"artifact_digest":"sha256:77ad6366dcf0e2c1251c04e0528815dee05910865a3fb99a0ddbfb98bda5285f","candidate_id":"sha256:1f9887587863ba4376df0977192c1a1047d9e0faa00a5b620f2028656da5eb75","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 = (2, 2, 2, 5, 9)\n    return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:12c9bb4a0944f10fc50fd1d4d061d092874eeea6d7adf1dc59398c3c12999c49"},"incumbent_state_id":"sha256:2301b3b5f1d8900ee1ebc59430c191dbc93eb83af2dc3688c1ff84e9e850f7d3","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 15}, {\"input\": -1, \"output\": 20}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    factor = (5, 2, 2, 5, 9)\n    return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=13\nfailed_count=2\nfailed_obligation_ids=[\"mod_product.protected.case_000\", \"mod_product.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:da3de78339901cb53047e2e77b7b8cee94baae0f2ac39f51d96ac82d8efd6c65","split":"train","step_index":4,"task_id":"vlr-formal-v2-0000393"}],"task_id":"vlr-formal-v2-0000393","trajectory_id":"vlr-formal-v2-0000393-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":2,"record_digest":"sha256:d787ac430307ae5d9948617f3ac677176b456fa679ec45a23d832e680b9ef611","sample_id":"sha256:07bab2997aaaed64f94360f05e341144dcdad4534b8b93af385876ee60741214","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:3e26fe217a1202a7d017461c5d22918cf07a06743dee0dc59003c5e9a50c26a4","candidate_id":"sha256:f105ed33543f961eeae3f8796d9d25d1125e54d4e382c690afdc26dcb754e435","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":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n    delta = (6, 4, 2, 3)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:f4d1388d19676b9ccb52b105d785a584c9024de020a1aa53a9497a0086950f47"},"incumbent_state_id":"sha256:958d2ded971ca982bcf6f89a1689627cd0e9799fd0a90a6b82adc8527b4fd51e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 6, 3)\n    return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=6\nfailed_count=6\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\", \"fsm_delta.protected.case_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:b34d126cec2b720a3d2d1ef9217029032a4388a9e04260e0ec235386da50734c","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000395"},{"accepted":{"artifact_digest":"sha256:500029921a20fe08a5fe046be8c8baafaf589b14b4c33390bf58a2899dee6969","candidate_id":"sha256:8eca19b9fb7d7bcf83c3b18843e4077cdd87179f21dc63b58b5df758b7d51a84","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 = (6, 4, 2, 5)\n    return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:504d9d91405430f2340a4dd2aba53ade9bbe571f0f2968d370f04198064da9f4"},"incumbent_state_id":"sha256:f105ed33543f961eeae3f8796d9d25d1125e54d4e382c690afdc26dcb754e435","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. 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\": 6}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n    delta = (6, 4, 2, 3)\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_009\", \"fsm_delta.protected.case_010\", \"fsm_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:626856090000da6ceeff1f0e007b4031dd387417cde530c5487069dcc77ea169","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000395"}],"task_id":"vlr-formal-v2-0000395","trajectory_id":"vlr-formal-v2-0000395-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}
{"default_training_role":"curriculum_and_sequence_conditioning","depth":3,"record_digest":"sha256:e720db6be3f85dadcf57233aad6964b838e2d4e3666c6ccffefa8e530994f96e","sample_id":"sha256:8e149063c1b48597d8a36051b9241dd0c37c0fe3eb9b9e15d1928133dab277d7","split":"train","steps":[{"accepted":{"artifact_digest":"sha256:ab5e67be1b6bc2ba17664b43e16423e107438e73f07b5832db50a94a23ba8b9b","candidate_id":"sha256:ef781e97c4f5b5f63287722619e4c2f5e6bd0e08868af46c0216534a59ce65aa","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 = (8, 8, -3, -4, 2, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:244ec6a2f4b1960c377440c8cab4524acd63e057a92fd1fe02f7315e19d1d6cc"},"incumbent_state_id":"sha256:aa15d7f8aa0945240ab1135b2067f524c233bce417447c966c402df17374cac5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 8, -3, -4, 2, -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_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\", \"lookup_delta.protected.case_015\", \"lookup_delta.protected.case_016\", \"lookup_delta.protected.case_017\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:57b401f39f64ee569e96a179d67bf91486d6a52c672b289ef3e70d41f5b77ff8","split":"train","step_index":0,"task_id":"vlr-formal-v2-0000396"},{"accepted":{"artifact_digest":"sha256:bb8820677baf0f315a3616483560f4a52b5ebae84939ab34fe6ea4e391a4b13b","candidate_id":"sha256:2ef43cf8312d3067ace53007d4997fa0da96a9c1ac89aa155848fb47d5ac3b3c","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 = (8, 8, -3, 4, 2, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:48829d12d3c647bb46fc4dc30fed86560167ce46d8891059a8cbae995a3a2799"},"incumbent_state_id":"sha256:ef781e97c4f5b5f63287722619e4c2f5e6bd0e08868af46c0216534a59ce65aa","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 8, -3, -4, 2, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=6\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\", \"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:5eb33a31c3191ff40ac6f5666e398d1ed5e86b758bd650b5b2e3030b7ead278d","split":"train","step_index":1,"task_id":"vlr-formal-v2-0000396"},{"accepted":{"artifact_digest":"sha256:66755d81646f19916a129c6d429e1156ced2f9478296f47861ef006171993f69","candidate_id":"sha256:48474b7f1c02d0ea9ad7a6b6877d29e257ff02c8318f2827efd877f51e513bf4","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, 8, 5, 4, 2, 8)\n    return x + delta[abs(x) % 6]\n","verification_digest":"sha256:f61a710211878aae19e4f86ad350e1ab14dea40b3af18598f4d798252f2a3349"},"incumbent_state_id":"sha256:2ef43cf8312d3067ace53007d4997fa0da96a9c1ac89aa155848fb47d5ac3b3c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the 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\": 9}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n    delta = (8, 8, -3, 4, 2, 8)\n    return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"source_transition_id":"sha256:dc29757d95a366dc3629bb6112c7703175c4f97668d7db0768f2e9626fbd2eaf","split":"train","step_index":2,"task_id":"vlr-formal-v2-0000396"}],"task_id":"vlr-formal-v2-0000396","trajectory_id":"vlr-formal-v2-0000396-trajectory","view_type":"recursive_trajectory","view_version":"1.0.0"}