{"abstract":"Distant small events show negative intensities and wrap around the numeral table.","category":"Seismic magnitude estimation","checks":8,"contract":"R = max(hypocentral distance, 1 km). I = 1.45M - 2.46 log10(R) + 1.5, rounded half up to an integer and clamped to 1..12. Return [I, Roman numeral].","contract_signature":"mag, epi_km, depth_km","evaluation_group":"w2-seismic_magnitude_estimation-mmi-estimate","failed_approach":"Clamping at 0 produces intensity 0 and the XII label.","family":"w2-seismic_magnitude_estimation-mmi-estimate-lower-intensity-clamp","id":"FA-71661","implementations":{"attempt":{"sha256":"2875ce704cbfedc68c2b00688b47093ae52dd905cdb20764a3718deee91ed51f","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(mag, epi_km, depth_km):\n    roman = [\"I\", \"II\", \"III\", \"IV\", \"V\", \"VI\", \"VII\", \"VIII\", \"IX\", \"X\", \"XI\", \"XII\"]\n    r = max(math.hypot(epi_km, depth_km), 1.0)\n    i = 1.45 * mag - 2.46 * math.log10(r) + 1.5\n    v = int(math.floor(i + 0.5))\n    v = min(max(v, 0), 12)\n    return [v, roman[v - 1]]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['M2.0 at 0 km depth 0.5', [2.0, 0, 0.5], [4, 'IV']], ['M2.0 at 0 km depth 5', [2.0, 0, 5], [3, 'III']], ['M2.0 at 3 km depth 2', [2.0, 3, 2], [3, 'III']], ['M2.0 at 20 km depth 10', [2.0, 20, 10], [1, 'I']], ['M2.0 at 80 km depth 15', [2.0, 80, 15], [1, 'I']], ['M2.0 at 300 km depth 30', [2.0, 300, 30], [1, 'I']], ['M2.0 at 900 km depth 10', [2.0, 900, 10], [1, 'I']], ['M4.5 at 0 km depth 0.5', [4.5, 0, 0.5], [8, 'VIII']]], [['M2.0 at 80 km depth 15', [2.0, 80, 15], [1, 'I']], ['M4.5 at 0 km depth 0.5', [4.5, 0, 0.5], [8, 'VIII']], ['M4.5 at 0 km depth 5', [4.5, 0, 5], [6, 'VI']], ['M4.5 at 3 km depth 2', [4.5, 3, 2], [7, 'VII']], ['M4.5 at 20 km depth 10', [4.5, 20, 10], [5, 'V']], ['M4.5 at 80 km depth 15', [4.5, 80, 15], [3, 'III']], ['M4.5 at 300 km depth 30', [4.5, 300, 30], [2, 'II']], ['M4.5 at 900 km depth 10', [4.5, 900, 10], [1, 'I']]], [['M2.0 at 80 km depth 15', [2.0, 80, 15], [1, 'I']], ['M2.0 at 900 km depth 10', [2.0, 900, 10], [1, 'I']], ['M6.0 at 0 km depth 0.5', [6.0, 0, 0.5], [10, 'X']], ['M6.0 at 0 km depth 5', [6.0, 0, 5], [8, 'VIII']], ['M6.0 at 3 km depth 2', [6.0, 3, 2], [9, 'IX']], ['M6.0 at 20 km depth 10', [6.0, 20, 10], [7, 'VII']], ['M6.0 at 80 km depth 15', [6.0, 80, 15], [5, 'V']], ['M6.0 at 300 km depth 30', [6.0, 300, 30], [4, 'IV']]], [['M2.0 at 80 km depth 15', [2.0, 80, 15], [1, 'I']], ['M2.0 at 300 km depth 30', [2.0, 300, 30], [1, 'I']], ['M7.2 at 0 km depth 0.5', [7.2, 0, 0.5], [12, 'XII']], ['M7.2 at 0 km depth 5', [7.2, 0, 5], [10, 'X']], ['M7.2 at 3 km depth 2', [7.2, 3, 2], [11, 'XI']], ['M7.2 at 20 km depth 10', [7.2, 20, 10], [9, 'IX']], ['M7.2 at 80 km depth 15', [7.2, 80, 15], [7, 'VII']], ['M7.2 at 300 km depth 30', [7.2, 300, 30], [6, 'VI']]], [['M2.0 at 80 km depth 15', [2.0, 80, 15], [1, 'I']], ['M8.5 at 0 km depth 0.5', [8.5, 0, 0.5], [12, 'XII']], ['M8.5 at 0 km depth 5', [8.5, 0, 5], [12, 'XII']], ['M8.5 at 3 km depth 2', [8.5, 3, 2], [12, 'XII']], ['M8.5 at 20 km depth 10', [8.5, 20, 10], [11, 'XI']], ['M8.5 at 80 km depth 15', [8.5, 80, 15], [9, 'IX']], ['M8.5 at 300 km depth 30', [8.5, 300, 30], [8, 'VIII']], ['M8.5 at 900 km depth 10', [8.5, 900, 10], [7, 'VII']]]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"6eaba1194635bff7e9b61d4425161f0e1272b7b5d7e6b3ad3026b0f894d66a80","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(mag, epi_km, depth_km):\n    roman = [\"I\", \"II\", \"III\", \"IV\", \"V\", \"VI\", \"VII\", \"VIII\", \"IX\", \"X\", \"XI\", \"XII\"]\n    r = max(math.hypot(epi_km, depth_km), 1.0)\n    i = 1.45 * mag - 2.46 * math.log10(r) + 1.5\n    v = int(math.floor(i + 0.5))\n    v = min(v, 12)\n    return [v, roman[v - 1]]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['M2.0 at 0 km depth 0.5', [2.0, 0, 0.5], [4, 'IV']], ['M2.0 at 0 km depth 5', [2.0, 0, 5], [3, 'III']], ['M2.0 at 3 km depth 2', [2.0, 3, 2], [3, 'III']], ['M2.0 at 20 km depth 10', [2.0, 20, 10], [1, 'I']], ['M2.0 at 80 km depth 15', [2.0, 80, 15], [1, 'I']], ['M2.0 at 300 km depth 30', [2.0, 300, 30], [1, 'I']], ['M2.0 at 900 km depth 10', [2.0, 900, 10], [1, 'I']], ['M4.5 at 0 km depth 0.5', [4.5, 0, 0.5], [8, 'VIII']]], [['M2.0 at 80 km depth 15', [2.0, 80, 15], [1, 'I']], ['M4.5 at 0 km depth 0.5', [4.5, 0, 0.5], [8, 'VIII']], ['M4.5 at 0 km depth 5', [4.5, 0, 5], [6, 'VI']], ['M4.5 at 3 km depth 2', [4.5, 3, 2], [7, 'VII']], ['M4.5 at 20 km depth 10', [4.5, 20, 10], [5, 'V']], ['M4.5 at 80 km depth 15', [4.5, 80, 15], [3, 'III']], ['M4.5 at 300 km depth 30', [4.5, 300, 30], [2, 'II']], ['M4.5 at 900 km depth 10', [4.5, 900, 10], [1, 'I']]], [['M2.0 at 80 km depth 15', [2.0, 80, 15], [1, 'I']], ['M2.0 at 900 km depth 10', [2.0, 900, 10], [1, 'I']], ['M6.0 at 0 km depth 0.5', [6.0, 0, 0.5], [10, 'X']], ['M6.0 at 0 km depth 5', [6.0, 0, 5], [8, 'VIII']], ['M6.0 at 3 km depth 2', [6.0, 3, 2], [9, 'IX']], ['M6.0 at 20 km depth 10', [6.0, 20, 10], [7, 'VII']], ['M6.0 at 80 km depth 15', [6.0, 80, 15], [5, 'V']], ['M6.0 at 300 km depth 30', [6.0, 300, 30], [4, 'IV']]], [['M2.0 at 80 km depth 15', [2.0, 80, 15], [1, 'I']], ['M2.0 at 300 km depth 30', [2.0, 300, 30], [1, 'I']], ['M7.2 at 0 km depth 0.5', [7.2, 0, 0.5], [12, 'XII']], ['M7.2 at 0 km depth 5', [7.2, 0, 5], [10, 'X']], ['M7.2 at 3 km depth 2', [7.2, 3, 2], [11, 'XI']], ['M7.2 at 20 km depth 10', [7.2, 20, 10], [9, 'IX']], ['M7.2 at 80 km depth 15', [7.2, 80, 15], [7, 'VII']], ['M7.2 at 300 km depth 30', [7.2, 300, 30], [6, 'VI']]], [['M2.0 at 80 km depth 15', [2.0, 80, 15], [1, 'I']], ['M8.5 at 0 km depth 0.5', [8.5, 0, 0.5], [12, 'XII']], ['M8.5 at 0 km depth 5', [8.5, 0, 5], [12, 'XII']], ['M8.5 at 3 km depth 2', [8.5, 3, 2], [12, 'XII']], ['M8.5 at 20 km depth 10', [8.5, 20, 10], [11, 'XI']], ['M8.5 at 80 km depth 15', [8.5, 80, 15], [9, 'IX']], ['M8.5 at 300 km depth 30', [8.5, 300, 30], [8, 'VIII']], ['M8.5 at 900 km depth 10', [8.5, 900, 10], [7, 'VII']]]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"Stipulated deterministic teaching model of a seismological magnitude procedure; constants and tables are fixed by the contract and no claim of agency or standards conformance is made. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"w2-seismic_magnitude_estimation-mmi-estimate-lower-intensity-clamp","generated_at":"2026-09-29T14:48:31.637851+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"ShakeMap-style intensity summaries are published as Roman numerals.","root_cause":"Intensity is not clamped at I.","sha256":"081df0460fe7d76c9b8af54012acf9eb2cc55f0d43f505341a6400e758ab104b","title":"Estimated Mercalli intensity: lower intensity clamp · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":40.338,"exit_code":1,"observations":[{"actual":[4,"IV"],"check":"M2.0 at 0 km depth 0.5","expected":[4,"IV"],"passed":true},{"actual":[3,"III"],"check":"M2.0 at 0 km depth 5","expected":[3,"III"],"passed":true},{"actual":[3,"III"],"check":"M2.0 at 3 km depth 2","expected":[3,"III"],"passed":true},{"actual":[1,"I"],"check":"M2.0 at 20 km depth 10","expected":[1,"I"],"passed":true},{"actual":[0,"XII"],"check":"M2.0 at 80 km depth 15","expected":[1,"I"],"passed":false},{"actual":[0,"XII"],"check":"M2.0 at 300 km depth 30","expected":[1,"I"],"passed":false},{"actual":[0,"XII"],"check":"M2.0 at 900 km depth 10","expected":[1,"I"],"passed":false},{"actual":[8,"VIII"],"check":"M4.5 at 0 km depth 0.5","expected":[8,"VIII"],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"M2.0 at 0 km depth 0.5\", \"actual\": [4, \"IV\"], \"expected\": [4, \"IV\"], \"passed\": true}, {\"check\": \"M2.0 at 0 km depth 5\", \"actual\": [3, \"III\"], \"expected\": [3, \"III\"], \"passed\": true}, {\"check\": \"M2.0 at 3 km depth 2\", \"actual\": [3, \"III\"], \"expected\": [3, \"III\"], \"passed\": true}, {\"check\": \"M2.0 at 20 km depth 10\", \"actual\": [1, \"I\"], \"expected\": [1, \"I\"], \"passed\": true}, {\"check\": \"M2.0 at 80 km depth 15\", \"actual\": [0, \"XII\"], \"expected\": [1, \"I\"], \"passed\": false}, {\"check\": \"M2.0 at 300 km depth 30\", \"actual\": [0, \"XII\"], \"expected\": [1, \"I\"], \"passed\": false}, {\"check\": \"M2.0 at 900 km depth 10\", \"actual\": [0, \"XII\"], \"expected\": [1, \"I\"], \"passed\": false}, {\"check\": \"M4.5 at 0 km depth 0.5\", \"actual\": [8, \"VIII\"], \"expected\": [8, \"VIII\"], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":38.686,"exit_code":1,"observations":[{"actual":[4,"IV"],"check":"M2.0 at 0 km depth 0.5","expected":[4,"IV"],"passed":true},{"actual":[3,"III"],"check":"M2.0 at 0 km depth 5","expected":[3,"III"],"passed":true},{"actual":[3,"III"],"check":"M2.0 at 3 km depth 2","expected":[3,"III"],"passed":true},{"actual":[1,"I"],"check":"M2.0 at 20 km depth 10","expected":[1,"I"],"passed":true},{"actual":[0,"XII"],"check":"M2.0 at 80 km depth 15","expected":[1,"I"],"passed":false},{"actual":[-2,"X"],"check":"M2.0 at 300 km depth 30","expected":[1,"I"],"passed":false},{"actual":[-3,"IX"],"check":"M2.0 at 900 km depth 10","expected":[1,"I"],"passed":false},{"actual":[8,"VIII"],"check":"M4.5 at 0 km depth 0.5","expected":[8,"VIII"],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"M2.0 at 0 km depth 0.5\", \"actual\": [4, \"IV\"], \"expected\": [4, \"IV\"], \"passed\": true}, {\"check\": \"M2.0 at 0 km depth 5\", \"actual\": [3, \"III\"], \"expected\": [3, \"III\"], \"passed\": true}, {\"check\": \"M2.0 at 3 km depth 2\", \"actual\": [3, \"III\"], \"expected\": [3, \"III\"], \"passed\": true}, {\"check\": \"M2.0 at 20 km depth 10\", \"actual\": [1, \"I\"], \"expected\": [1, \"I\"], \"passed\": true}, {\"check\": \"M2.0 at 80 km depth 15\", \"actual\": [0, \"XII\"], \"expected\": [1, \"I\"], \"passed\": false}, {\"check\": \"M2.0 at 300 km depth 30\", \"actual\": [-2, \"X\"], \"expected\": [1, \"I\"], \"passed\": false}, {\"check\": \"M2.0 at 900 km depth 10\", \"actual\": [-3, \"IX\"], \"expected\": [1, \"I\"], \"passed\": false}, {\"check\": \"M4.5 at 0 km depth 0.5\", \"actual\": [8, \"VIII\"], \"expected\": [8, \"VIII\"], \"passed\": true}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}