files / problems / caccetta-haggkvist-k3 / compute / q2 / certs / keep / n27_cubes_summary.json

4.1 KB · on GitHub

{
  "n": 27,
  "d": 9,
  "k_range": [
    9,
    17
  ],
  "pigeonhole": {
    "n": 27,
    "d": 9,
    "arcs": 243,
    "mean_indeg": 9,
    "k_min_pigeonhole": 9,
    "k_max_absolute": 17,
    "k_max_count": 16,
    "needed_cubes": [
      9,
      10,
      11,
      12,
      13,
      14,
      15,
      16
    ],
    "empty_by_count": [
      17
    ]
  },
  "all_unsat": true,
  "leftover": [],
  "rows": [
    {
      "n": 27,
      "d": 9,
      "indeg0": 17,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 18003 44060",
      "status": "UNSAT",
      "time_s": 0.057,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-27-9-k17.cnf",
      "out": "ch-27-9-k17.out",
      "drat": "VERIFIED",
      "drat_bytes": 23725
    },
    {
      "n": 27,
      "d": 9,
      "indeg0": 16,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 18002 43947",
      "status": "UNSAT",
      "time_s": 0.011,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-27-9-k16.cnf",
      "out": "ch-27-9-k16.out",
      "drat": "VERIFIED",
      "drat_bytes": 33063
    },
    {
      "n": 27,
      "d": 9,
      "indeg0": 15,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 18052 44039",
      "status": "UNSAT",
      "time_s": 0.015,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-27-9-k15.cnf",
      "out": "ch-27-9-k15.out",
      "drat": "VERIFIED",
      "drat_bytes": 83664
    },
    {
      "n": 27,
      "d": 9,
      "indeg0": 14,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 18102 44131",
      "status": "UNSAT",
      "time_s": 0.007,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-27-9-k14.cnf",
      "out": "ch-27-9-k14.out",
      "drat": "VERIFIED",
      "drat_bytes": 85170
    },
    {
      "n": 27,
      "d": 9,
      "indeg0": 13,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 18152 44223",
      "status": "UNSAT",
      "time_s": 0.066,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-27-9-k13.cnf",
      "out": "ch-27-9-k13.out",
      "drat": "VERIFIED",
      "drat_bytes": 152688
    },
    {
      "n": 27,
      "d": 9,
      "indeg0": 12,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 18202 44315",
      "status": "UNSAT",
      "time_s": 0.043,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-27-9-k12.cnf",
      "out": "ch-27-9-k12.out",
      "drat": "VERIFIED",
      "drat_bytes": 142539
    },
    {
      "n": 27,
      "d": 9,
      "indeg0": 11,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 18252 44407",
      "status": "UNSAT",
      "time_s": 0.045,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-27-9-k11.cnf",
      "out": "ch-27-9-k11.out",
      "drat": "VERIFIED",
      "drat_bytes": 136914
    },
    {
      "n": 27,
      "d": 9,
      "indeg0": 10,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 18302 44499",
      "status": "UNSAT",
      "time_s": 0.058,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-27-9-k10.cnf",
      "out": "ch-27-9-k10.out",
      "drat": "VERIFIED",
      "drat_bytes": 130623
    },
    {
      "n": 27,
      "d": 9,
      "indeg0": 9,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 18352 44591",
      "status": "UNSAT",
      "time_s": 0.039,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-27-9-k9.cnf",
      "out": "ch-27-9-k9.out",
      "drat": "VERIFIED",
      "drat_bytes": 124716
    }
  ],
  "note": "all cubes UNSAT with DRAT is a certificate of the exact statement"
}