files / problems / schur / compute / q1-search-log.json

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{
  "quest": "q1-overnight",
  "date": "2026-08-16",
  "result": "residue-no-1697-witness",
  "published_1680_calibration": {
    "result": "valid",
    "schur_pairs_checked": 705600,
    "class_sizes": [206, 156, 380, 146, 160, 284, 348]
  },
  "full_reflection_1697": {
    "result": "unsat",
    "reason": "the orbit 566 <-> 1132 is also the equation 566 + 566 = 1132",
    "lean_certificate": "../lean/Schur1697SymmetryObstruction.lean"
  },
  "published_536_seed_frame": {
    "target_1696": {
      "result": "unsat",
      "variable_orbits": 311,
      "boolean_variables": 2177,
      "folded_schur_clauses": 92270,
      "z3_seconds": 0.076576
    },
    "target_1697_with_exceptional_split": {
      "result": "unsat",
      "exceptional_split": [566, 1132],
      "variable_orbits": 313,
      "boolean_variables": 2191,
      "folded_schur_clauses": 93628,
      "z3_seconds": 0.068024
    },
    "all_modular_equivalents_at_1696": {
      "solver": "cadical195",
      "conflict_budget_each": 50000,
      "candidates": 356,
      "proved_unsat": 356,
      "budget_interrupted": 0,
      "elapsed_seconds": 4.69113
    }
  },
  "unrestricted_orbit_sat_calibration": {
    "solver": "cadical195",
    "conflict_budget": 100000,
    "target_1696": {
      "known_externally_to_be_sat": true,
      "solver_result": "interrupted",
      "orbit_variables": 848,
      "boolean_variables": 5936,
      "orbit_triples": 239984,
      "cnf_clauses": 1703633,
      "elapsed_seconds": 19.576433
    },
    "target_1697": {
      "solver_result": "interrupted",
      "exceptional_split": [566, 1132],
      "orbit_variables": 850,
      "boolean_variables": 5950,
      "orbit_triples": 241115,
      "cnf_clauses": 1711606,
      "elapsed_seconds": 18.660076
    }
  },
  "weighted_local_search": {
    "target_1696_structural_calibration": {
      "random_seeds": [11, 22],
      "seconds_each": 90,
      "restarts": [18, 17],
      "best_folded_violations": 1
    },
    "target_1697": {
      "random_seed": 3,
      "seconds": 120,
      "moves": 32958,
      "best_folded_violations": 1,
      "near_coloring": "near_1697_two_violations.txt",
      "integer_violations": [
        [537, 537, 1074, 6],
        [537, 624, 1161, 6]
      ]
    }
  },
  "warning": "Interrupted means no SAT/UNSAT conclusion. This quest does not improve the lower bound for S(7)."
}