{ "step": "C316", "status": "passed", "input_sha256": { "PREVIOUS_DATA.json": "ac420cd1da87b6f6d9eef635dd29650d69dddbb98e1842ccb742fbf5227f60cb", "C286_DATA.json": "71867add8e2b0000e7d11270e2ee28969ef41d788b5a1ec74add0b6237cc9905", "C287_DATA.json": "1f3fe8798fb89b1559247a1b209aabfa854d0ae5399b45623f4c398a36fa8ce0", "C271_REGISTER.json": "54c510fb3c5860340276f64f9b1b40fef4a24e323ac52b0830193895ee91ae6a" }, "scope": "Fixed five C315 states; h0..7 and two retained phases only.", "rows": [ { "j": 3, "i": 7, "h": 5, "gear": 3, "rail": "primary", "source_Flood": { "tradition": "SP", "gear": 3, "role": "Flood start", "Cainan": 0, "Terah60": 0, "full430": 1, "center": 3110, "base_native_Cainan": 0, "base_center": 3110 }, "unique_annual_h": 5, "Noah_cumulative_Flood_index": 7, "8395_cumulative_Flood_index": 5, "C271_Flood_cumulative_role": "Shem", "C271_Flood_cumulative_index": 7, "C271_role_and_index_distinct_from8395_ancestry": true, "source_bridge_factorization": { "C271_Shem_to_shifted_cumulative_Flood": 598, "shifted_cumulative_Flood_to_regular_Flood": 8395, "sum": 8993 }, "regular_Gear_descent_available": false, "regular_Gear_descent": [], "C287_support": { "i": false, "j": true, "h": true }, "C287_all_three": false, "phase_cases": [ { "Noah_ancestry_i": 7, "Noah_ancestry_epsilon": "1/4", "new_Flood_ancestry_h": 5, "new_Flood_ancestry_epsilon": "1/4", "normalized_Shem_ancestry_j": 3, "normalized_Shem_ancestry_epsilon": "-1/4", "Noah_cumulative_Flood_coordinate": "-21131/4", "new_Flood_cumulative_Flood_coordinate": "-21139/4", "actual_C271_cumulative_Shem_index": 7, "actual_C271_cumulative_Shem_coordinate": "-23531/4", "actual_C271_cumulative_phase": "5883n BC", "Flood_output": "12441/4", "Flood_output_phase": "AD 3111n", "T8395_and_T8993_route_difference": "0", "new_cumulative_Flood_minus_C271_cumulative_Shem": "598", "Noah_minus_selected_Flood": "600", "unique_8395_match": [ 5, "1/4" ] }, { "Noah_ancestry_i": 7, "Noah_ancestry_epsilon": "-1/4", "new_Flood_ancestry_h": 5, "new_Flood_ancestry_epsilon": "-1/4", "normalized_Shem_ancestry_j": 3, "normalized_Shem_ancestry_epsilon": "1/4", "Noah_cumulative_Flood_coordinate": "-21133/4", "new_Flood_cumulative_Flood_coordinate": "-21141/4", "actual_C271_cumulative_Shem_index": 7, "actual_C271_cumulative_Shem_coordinate": "-23533/4", "actual_C271_cumulative_phase": "5884t BC", "Flood_output": "12439/4", "Flood_output_phase": "AD 3110t", "T8395_and_T8993_route_difference": "0", "new_cumulative_Flood_minus_C271_cumulative_Shem": "598", "Noah_minus_selected_Flood": "600", "unique_8395_match": [ 5, "-1/4" ] } ] }, { "j": 4, "i": 6, "h": 4, "gear": 3, "rail": "companion", "source_Flood": { "tradition": "SP", "gear": 3, "role": "Flood close", "Cainan": 0, "Terah60": 0, "full430": 1, "center": 3109, "base_native_Cainan": 0, "base_center": 3109 }, "unique_annual_h": 4, "Noah_cumulative_Flood_index": 6, "8395_cumulative_Flood_index": 4, "C271_Flood_cumulative_role": "Shem", "C271_Flood_cumulative_index": 6, "C271_role_and_index_distinct_from8395_ancestry": true, "source_bridge_factorization": { "C271_Shem_to_shifted_cumulative_Flood": 598, "shifted_cumulative_Flood_to_regular_Flood": 8395, "sum": 8993 }, "regular_Gear_descent_available": false, "regular_Gear_descent": [], "C287_support": { "i": false, "j": true, "h": true }, "C287_all_three": false, "phase_cases": [ { "Noah_ancestry_i": 6, "Noah_ancestry_epsilon": "1/4", "new_Flood_ancestry_h": 4, "new_Flood_ancestry_epsilon": "1/4", "normalized_Shem_ancestry_j": 4, "normalized_Shem_ancestry_epsilon": "-1/4", "Noah_cumulative_Flood_coordinate": "-21135/4", "new_Flood_cumulative_Flood_coordinate": "-21143/4", "actual_C271_cumulative_Shem_index": 6, "actual_C271_cumulative_Shem_coordinate": "-23535/4", "actual_C271_cumulative_phase": "5884n BC", "Flood_output": "12437/4", "Flood_output_phase": "AD 3110n", "T8395_and_T8993_route_difference": "0", "new_cumulative_Flood_minus_C271_cumulative_Shem": "598", "Noah_minus_selected_Flood": "600", "unique_8395_match": [ 4, "1/4" ] }, { "Noah_ancestry_i": 6, "Noah_ancestry_epsilon": "-1/4", "new_Flood_ancestry_h": 4, "new_Flood_ancestry_epsilon": "-1/4", "normalized_Shem_ancestry_j": 4, "normalized_Shem_ancestry_epsilon": "1/4", "Noah_cumulative_Flood_coordinate": "-21137/4", "new_Flood_cumulative_Flood_coordinate": "-21145/4", "actual_C271_cumulative_Shem_index": 6, "actual_C271_cumulative_Shem_coordinate": "-23537/4", "actual_C271_cumulative_phase": "5885t BC", "Flood_output": "12435/4", "Flood_output_phase": "AD 3109t", "T8395_and_T8993_route_difference": "0", "new_cumulative_Flood_minus_C271_cumulative_Shem": "598", "Noah_minus_selected_Flood": "600", "unique_8395_match": [ 4, "-1/4" ] } ] }, { "j": 5, "i": 5, "h": 3, "gear": 2, "rail": "primary", "source_Flood": { "tradition": "SP", "gear": 2, "role": "Flood start", "Cainan": 0, "Terah60": 0, "full430": 1, "center": 3108, "base_native_Cainan": 0, "base_center": 3108 }, "unique_annual_h": 3, "Noah_cumulative_Flood_index": 5, "8395_cumulative_Flood_index": 3, "C271_Flood_cumulative_role": "Shem", "C271_Flood_cumulative_index": 5, "C271_role_and_index_distinct_from8395_ancestry": true, "source_bridge_factorization": { "C271_Shem_to_shifted_cumulative_Flood": 598, "shifted_cumulative_Flood_to_regular_Flood": 8395, "sum": 8993 }, "regular_Gear_descent_available": true, "regular_Gear_descent": [ { "from_gear": 3, "to_gear": 2, "role_preserved": "Flood start", "source_BC_difference": 2 } ], "C287_support": { "i": true, "j": true, "h": true }, "C287_all_three": true, "phase_cases": [ { "Noah_ancestry_i": 5, "Noah_ancestry_epsilon": "1/4", "new_Flood_ancestry_h": 3, "new_Flood_ancestry_epsilon": "1/4", "normalized_Shem_ancestry_j": 5, "normalized_Shem_ancestry_epsilon": "-1/4", "Noah_cumulative_Flood_coordinate": "-21139/4", "new_Flood_cumulative_Flood_coordinate": "-21147/4", "actual_C271_cumulative_Shem_index": 5, "actual_C271_cumulative_Shem_coordinate": "-23539/4", "actual_C271_cumulative_phase": "5885n BC", "Flood_output": "12433/4", "Flood_output_phase": "AD 3109n", "T8395_and_T8993_route_difference": "0", "new_cumulative_Flood_minus_C271_cumulative_Shem": "598", "Noah_minus_selected_Flood": "600", "unique_8395_match": [ 3, "1/4" ] }, { "Noah_ancestry_i": 5, "Noah_ancestry_epsilon": "-1/4", "new_Flood_ancestry_h": 3, "new_Flood_ancestry_epsilon": "-1/4", "normalized_Shem_ancestry_j": 5, "normalized_Shem_ancestry_epsilon": "1/4", "Noah_cumulative_Flood_coordinate": "-21141/4", "new_Flood_cumulative_Flood_coordinate": "-21149/4", "actual_C271_cumulative_Shem_index": 5, "actual_C271_cumulative_Shem_coordinate": "-23541/4", "actual_C271_cumulative_phase": "5886t BC", "Flood_output": "12431/4", "Flood_output_phase": "AD 3108t", "T8395_and_T8993_route_difference": "0", "new_cumulative_Flood_minus_C271_cumulative_Shem": "598", "Noah_minus_selected_Flood": "600", "unique_8395_match": [ 3, "-1/4" ] } ] }, { "j": 6, "i": 4, "h": 2, "gear": 2, "rail": "companion", "source_Flood": { "tradition": "SP", "gear": 2, "role": "Flood close", "Cainan": 0, "Terah60": 0, "full430": 1, "center": 3107, "base_native_Cainan": 0, "base_center": 3107 }, "unique_annual_h": 2, "Noah_cumulative_Flood_index": 4, "8395_cumulative_Flood_index": 2, "C271_Flood_cumulative_role": "Shem", "C271_Flood_cumulative_index": 4, "C271_role_and_index_distinct_from8395_ancestry": true, "source_bridge_factorization": { "C271_Shem_to_shifted_cumulative_Flood": 598, "shifted_cumulative_Flood_to_regular_Flood": 8395, "sum": 8993 }, "regular_Gear_descent_available": true, "regular_Gear_descent": [ { "from_gear": 3, "to_gear": 2, "role_preserved": "Flood close", "source_BC_difference": 2 } ], "C287_support": { "i": true, "j": false, "h": true }, "C287_all_three": false, "phase_cases": [ { "Noah_ancestry_i": 4, "Noah_ancestry_epsilon": "1/4", "new_Flood_ancestry_h": 2, "new_Flood_ancestry_epsilon": "1/4", "normalized_Shem_ancestry_j": 6, "normalized_Shem_ancestry_epsilon": "-1/4", "Noah_cumulative_Flood_coordinate": "-21143/4", "new_Flood_cumulative_Flood_coordinate": "-21151/4", "actual_C271_cumulative_Shem_index": 4, "actual_C271_cumulative_Shem_coordinate": "-23543/4", "actual_C271_cumulative_phase": "5886n BC", "Flood_output": "12429/4", "Flood_output_phase": "AD 3108n", "T8395_and_T8993_route_difference": "0", "new_cumulative_Flood_minus_C271_cumulative_Shem": "598", "Noah_minus_selected_Flood": "600", "unique_8395_match": [ 2, "1/4" ] }, { "Noah_ancestry_i": 4, "Noah_ancestry_epsilon": "-1/4", "new_Flood_ancestry_h": 2, "new_Flood_ancestry_epsilon": "-1/4", "normalized_Shem_ancestry_j": 6, "normalized_Shem_ancestry_epsilon": "1/4", "Noah_cumulative_Flood_coordinate": "-21145/4", "new_Flood_cumulative_Flood_coordinate": "-21153/4", "actual_C271_cumulative_Shem_index": 4, "actual_C271_cumulative_Shem_coordinate": "-23545/4", "actual_C271_cumulative_phase": "5887t BC", "Flood_output": "12427/4", "Flood_output_phase": "AD 3107t", "T8395_and_T8993_route_difference": "0", "new_cumulative_Flood_minus_C271_cumulative_Shem": "598", "Noah_minus_selected_Flood": "600", "unique_8395_match": [ 2, "-1/4" ] } ] }, { "j": 7, "i": 3, "h": 1, "gear": 1, "rail": "primary", "source_Flood": { "tradition": "SP", "gear": 1, "role": "Flood start", "Cainan": 0, "Terah60": 0, "full430": 1, "center": 3106, "base_native_Cainan": 0, "base_center": 3106 }, "unique_annual_h": 1, "Noah_cumulative_Flood_index": 3, "8395_cumulative_Flood_index": 1, "C271_Flood_cumulative_role": "Shem", "C271_Flood_cumulative_index": 3, "C271_role_and_index_distinct_from8395_ancestry": true, "source_bridge_factorization": { "C271_Shem_to_shifted_cumulative_Flood": 598, "shifted_cumulative_Flood_to_regular_Flood": 8395, "sum": 8993 }, "regular_Gear_descent_available": true, "regular_Gear_descent": [ { "from_gear": 2, "to_gear": 1, "role_preserved": "Flood start", "source_BC_difference": 2 } ], "C287_support": { "i": true, "j": false, "h": false }, "C287_all_three": false, "phase_cases": [ { "Noah_ancestry_i": 3, "Noah_ancestry_epsilon": "1/4", "new_Flood_ancestry_h": 1, "new_Flood_ancestry_epsilon": "1/4", "normalized_Shem_ancestry_j": 7, "normalized_Shem_ancestry_epsilon": "-1/4", "Noah_cumulative_Flood_coordinate": "-21147/4", "new_Flood_cumulative_Flood_coordinate": "-21155/4", "actual_C271_cumulative_Shem_index": 3, "actual_C271_cumulative_Shem_coordinate": "-23547/4", "actual_C271_cumulative_phase": "5887n BC", "Flood_output": "12425/4", "Flood_output_phase": "AD 3107n", "T8395_and_T8993_route_difference": "0", "new_cumulative_Flood_minus_C271_cumulative_Shem": "598", "Noah_minus_selected_Flood": "600", "unique_8395_match": [ 1, "1/4" ] }, { "Noah_ancestry_i": 3, "Noah_ancestry_epsilon": "-1/4", "new_Flood_ancestry_h": 1, "new_Flood_ancestry_epsilon": "-1/4", "normalized_Shem_ancestry_j": 7, "normalized_Shem_ancestry_epsilon": "1/4", "Noah_cumulative_Flood_coordinate": "-21149/4", "new_Flood_cumulative_Flood_coordinate": "-21157/4", "actual_C271_cumulative_Shem_index": 3, "actual_C271_cumulative_Shem_coordinate": "-23549/4", "actual_C271_cumulative_phase": "5888t BC", "Flood_output": "12423/4", "Flood_output_phase": "AD 3106t", "T8395_and_T8993_route_difference": "0", "new_cumulative_Flood_minus_C271_cumulative_Shem": "598", "Noah_minus_selected_Flood": "600", "unique_8395_match": [ 1, "-1/4" ] } ] } ], "counts": { "annual_matches": 5, "phase_matches": 10, "annual_candidate_checks": 40, "phase_candidate_checks": 160, "actual_C271_Flood_source_matches": 5, "regular_Gear_descent_matches": 3, "regular_Gear_descent_unavailable": 2, "C287_at_i": 3, "C287_at_j": 3, "C287_at_h": 4, "C287_at_all_three": 1 }, "conclusions": [ "h=i\u22122 is unique in the fixed annual/phase domain; epsilon_h=epsilon_i=\u2212epsilon_j.", "All five actual Flood endpoints can retain8395 if its cumulative Flood ancestry changes by\u22122. This is not a same-ancestry repair.", "Actual C271 Flood provenance is cumulative LXX_OFF Shem at indexi, not cumulative Flood at indexh.", "The two routes agree because (cumulative Flood at h)\u2212(cumulative Shem at i)=598 and598+8395=8993.", "Three existing wrong-Gear endpoint aliases permit a regular same-role Gear descent; two formal endpoints have no admitted upper-Gear source.", "Cumulative annual reindexing is not a cumulative Gear operation.", "Only j5,i5,h3 supports the C287 complete four-node form at all three index values." ], "suggested_next_bounded_question": "Test whether the resolved three-ancestry correspondence adds an independent529 constraint or factors through the already retained598+8395=8993 relation, with C287 event roles kept explicit.", "later_step_executed": false }