files / problems / caccetta-haggkvist-k3 / compute / q2 / certs / keep / n26_cubes_summary.json

3.7 KB · on GitHub

{
  "n": 26,
  "d": 9,
  "k_range": [
    9,
    16
  ],
  "pigeonhole": {
    "n": 26,
    "d": 9,
    "arcs": 234,
    "mean_indeg": 9,
    "k_min_pigeonhole": 9,
    "k_max_absolute": 16,
    "k_max_count": 15,
    "needed_cubes": [
      9,
      10,
      11,
      12,
      13,
      14,
      15
    ],
    "empty_by_count": [
      16
    ]
  },
  "all_unsat": true,
  "leftover": [],
  "rows": [
    {
      "n": 26,
      "d": 9,
      "indeg0": 16,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 16035 39299",
      "status": "UNSAT",
      "time_s": 0.004,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-26-9-k16.cnf",
      "out": "ch-26-9-k16.out",
      "drat": "VERIFIED",
      "drat_bytes": 22086
    },
    {
      "n": 26,
      "d": 9,
      "indeg0": 15,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 16034 39190",
      "status": "UNSAT",
      "time_s": 0.014,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-26-9-k15.cnf",
      "out": "ch-26-9-k15.out",
      "drat": "VERIFIED",
      "drat_bytes": 30689
    },
    {
      "n": 26,
      "d": 9,
      "indeg0": 14,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 16082 39278",
      "status": "UNSAT",
      "time_s": 0.014,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-26-9-k14.cnf",
      "out": "ch-26-9-k14.out",
      "drat": "VERIFIED",
      "drat_bytes": 75748
    },
    {
      "n": 26,
      "d": 9,
      "indeg0": 13,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 16130 39366",
      "status": "UNSAT",
      "time_s": 0.007,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-26-9-k13.cnf",
      "out": "ch-26-9-k13.out",
      "drat": "VERIFIED",
      "drat_bytes": 77116
    },
    {
      "n": 26,
      "d": 9,
      "indeg0": 12,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 16178 39454",
      "status": "UNSAT",
      "time_s": 0.064,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-26-9-k12.cnf",
      "out": "ch-26-9-k12.out",
      "drat": "VERIFIED",
      "drat_bytes": 138352
    },
    {
      "n": 26,
      "d": 9,
      "indeg0": 11,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 16226 39542",
      "status": "UNSAT",
      "time_s": 0.036,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-26-9-k11.cnf",
      "out": "ch-26-9-k11.out",
      "drat": "VERIFIED",
      "drat_bytes": 128310
    },
    {
      "n": 26,
      "d": 9,
      "indeg0": 10,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 16274 39630",
      "status": "UNSAT",
      "time_s": 0.047,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-26-9-k10.cnf",
      "out": "ch-26-9-k10.out",
      "drat": "VERIFIED",
      "drat_bytes": 121860
    },
    {
      "n": 26,
      "d": 9,
      "indeg0": 9,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 16322 39718",
      "status": "UNSAT",
      "time_s": 0.037,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-26-9-k9.cnf",
      "out": "ch-26-9-k9.out",
      "drat": "VERIFIED",
      "drat_bytes": 116542
    }
  ],
  "note": "all cubes UNSAT with DRAT is a certificate of the exact statement"
}