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        "source_proof_verification": "not_run",
        "formal_program_verification": "not_run",
        "interpretation": "A checked original-ID subset proves this exact positive-integer instance feasible. Solver infeasibility is a solver report; independent negative evidence requires a complete exact reference. Satisfaction status does not establish uniqueness or count. This adapter accepts only bounded exact integer totals, with no rounding or scale conversion, and models no reconciliation business rules.",
        "status": "unsupported_solver_integer_range",
        "independently_certified_feasible": true,
        "reason": "Input total or target exceeds the deliberately conservative CP-SAT adapter range"
      }
    }
  ],
  "scope": "Ten generated exact positive-integer selection cases. Live conventional solver, not source backend, comparative speed study, real reconciliation workload or demand validation."
}