files / problems / caccetta-haggkvist-k3 / compute / q2 / certs / keep / n29_cubes_summary.json

4.1 KB · on GitHub

{
  "n": 29,
  "d": 10,
  "k_range": [
    10,
    18
  ],
  "pigeonhole": {
    "n": 29,
    "d": 10,
    "arcs": 290,
    "mean_indeg": 10,
    "k_min_pigeonhole": 10,
    "k_max_absolute": 18,
    "k_max_count": 17,
    "needed_cubes": [
      10,
      11,
      12,
      13,
      14,
      15,
      16,
      17
    ],
    "empty_by_count": [
      18
    ]
  },
  "all_unsat": true,
  "leftover": [],
  "rows": [
    {
      "n": 29,
      "d": 10,
      "indeg0": 18,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 22467 54827",
      "status": "UNSAT",
      "time_s": 0.004,
      "timeout_s": 120,
      "returncode": 20,
      "cnf": "ch-29-10-k18.cnf",
      "out": "ch-29-10-k18.out",
      "drat": "VERIFIED",
      "drat_bytes": 29426
    },
    {
      "n": 29,
      "d": 10,
      "indeg0": 17,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 22466 54705",
      "status": "UNSAT",
      "time_s": 0.004,
      "timeout_s": 120,
      "returncode": 20,
      "cnf": "ch-29-10-k17.cnf",
      "out": "ch-29-10-k17.out",
      "drat": "VERIFIED",
      "drat_bytes": 40317
    },
    {
      "n": 29,
      "d": 10,
      "indeg0": 16,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 22520 54804",
      "status": "UNSAT",
      "time_s": 0.029,
      "timeout_s": 120,
      "returncode": 20,
      "cnf": "ch-29-10-k16.cnf",
      "out": "ch-29-10-k16.out",
      "drat": "VERIFIED",
      "drat_bytes": 104307
    },
    {
      "n": 29,
      "d": 10,
      "indeg0": 15,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 22574 54903",
      "status": "UNSAT",
      "time_s": 0.012,
      "timeout_s": 120,
      "returncode": 20,
      "cnf": "ch-29-10-k15.cnf",
      "out": "ch-29-10-k15.out",
      "drat": "VERIFIED",
      "drat_bytes": 105949
    },
    {
      "n": 29,
      "d": 10,
      "indeg0": 14,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 22628 55002",
      "status": "UNSAT",
      "time_s": 0.031,
      "timeout_s": 120,
      "returncode": 20,
      "cnf": "ch-29-10-k14.cnf",
      "out": "ch-29-10-k14.out",
      "drat": "VERIFIED",
      "drat_bytes": 190809
    },
    {
      "n": 29,
      "d": 10,
      "indeg0": 13,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 22682 55101",
      "status": "UNSAT",
      "time_s": 0.041,
      "timeout_s": 120,
      "returncode": 20,
      "cnf": "ch-29-10-k13.cnf",
      "out": "ch-29-10-k13.out",
      "drat": "VERIFIED",
      "drat_bytes": 179712
    },
    {
      "n": 29,
      "d": 10,
      "indeg0": 12,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 22736 55200",
      "status": "UNSAT",
      "time_s": 0.042,
      "timeout_s": 120,
      "returncode": 20,
      "cnf": "ch-29-10-k12.cnf",
      "out": "ch-29-10-k12.out",
      "drat": "VERIFIED",
      "drat_bytes": 171305
    },
    {
      "n": 29,
      "d": 10,
      "indeg0": 11,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 22790 55299",
      "status": "UNSAT",
      "time_s": 0.047,
      "timeout_s": 120,
      "returncode": 20,
      "cnf": "ch-29-10-k11.cnf",
      "out": "ch-29-10-k11.out",
      "drat": "VERIFIED",
      "drat_bytes": 165325
    },
    {
      "n": 29,
      "d": 10,
      "indeg0": 10,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 22844 55398",
      "status": "UNSAT",
      "time_s": 0.044,
      "timeout_s": 120,
      "returncode": 20,
      "cnf": "ch-29-10-k10.cnf",
      "out": "ch-29-10-k10.out",
      "drat": "VERIFIED",
      "drat_bytes": 159827
    }
  ],
  "note": "all cubes UNSAT with DRAT is a certificate of the exact statement"
}