{
  "completed_step": "C313",
  "decision_timing": "After completing the fixed five-case same-index test and phase audit",
  "next_proposed_step": "C314",
  "executed": false,
  "question": "Does the forced reversed annual-index pairing i+j=10, with explicit opposite cumulative phase ancestry, give a source-labelled500-year Noah/Shem correspondence across the same five cases?",
  "finite_domain": "The same five C313 SP Shem-life cases j3..7 and existing17K Noah endpoints; no wider scan.",
  "candidate_rule": "i=10−j and epsilon_Noah=−epsilon_Shem; necessary equations derived, finite labelled mapping not yet tested.",
  "reason": "C313 has one center/source match but no500-year same-cumulative-component path. Testing the explicit reversal addresses the exact orientation condition rather than silently swapping labels.",
  "constraints": [
    "Keep endpoints, anchors, variant settings and allowed Gear domain fixed",
    "Bind each proposed pairing to existing source Gear/rail",
    "Preserve both Shem-life endpoints and exact phase labels",
    "Test the finite correspondence and retain failures",
    "Keep direct17K source legs distinct from C287 four-node completeness",
    "Do not claim a new global Mirror axis or source-prescribed selector"
  ],
  "reasoning_level": "High sufficient"
}