{"id": "c1196", "title": "C1196 — Intersect Rounded fibres with the early equal-remainder relation", "filename": "C1196.md", "role": "Research action", "step": 1196, "sha256": "1af88e89e782ce0e6c7bc135b4e1b5e46677a1b22e3160871505da5188a6b045", "bytes": 1293, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1196"], "download": "/sources/1af88e89e782ce0e6c7bc135b4e1b5e46677a1b22e3160871505da5188a6b045.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Rounded"], "excerpt": "Does Arphaxad/Shelah equal remaining life select their exact source decomposition?", "content": "# C1196 — Intersect Rounded fibres with the early equal-remainder relation\n\n## Question\n\nDoes Arphaxad/Shelah equal remaining life select their exact source decomposition?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1192\",\n  \"C1160\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:23:46.247007+00:00\n\n## Results\n\n```json\n{\n  \"intersections\": {\n    \"path\": \"model/early_pair_rounding_relation.json\",\n    \"sha256\": \"5c76d1a7978ba62189b3f22166a016fb9443399c0063a6ba53cdce442783599a\",\n    \"bytes\": 987\n  },\n  \"counts\": [\n    [\n      \"MT\",\n      9,\n      3\n    ],\n    [\n      \"SP\",\n      9,\n      3\n    ],\n    [\n      \"LXX\",\n      25,\n      5\n    ]\n  ]\n}\n```\n\n## Finding\n\nThe equal-remainder premise sharply reduces paired ambiguity but does not identify the exact early values. Its five-year begetting difference follows from the exact lifespan difference once the shared remainder is imposed.\n\n## Reassessment\n\nTest the late block where Reu supplies a conditional singleton.\n\n## Checks\n\n```json\n{\n  \"source_present\": true,\n  \"not_unique\": true,\n  \"reduced\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:23:46.248261+00:00\n\n## Record provenance\n\nExact record hash: `b1b772e10daf556304b2690a3fdd587b20d3a2cc3a81ec8cefd79be347a97de6`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-5c76d1a7978ba621", "title": "model/early_pair_rounding_relation.json"}]}