files / problems / caccetta-haggkvist-k3 / compute / q2 / certs / keep / n24_cubes_summary.json

3.7 KB · on GitHub

{
  "n": 24,
  "d": 8,
  "k_range": [
    8,
    15
  ],
  "pigeonhole": {
    "n": 24,
    "d": 8,
    "arcs": 192,
    "mean_indeg": 8,
    "k_min_pigeonhole": 8,
    "k_max_absolute": 15,
    "k_max_count": 14,
    "needed_cubes": [
      8,
      9,
      10,
      11,
      12,
      13,
      14
    ],
    "empty_by_count": [
      15
    ]
  },
  "all_unsat": true,
  "leftover": [],
  "rows": [
    {
      "n": 24,
      "d": 8,
      "indeg0": 15,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 12499 30739",
      "status": "UNSAT",
      "time_s": 0.036,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-24-8-k15.cnf",
      "out": "ch-24-8-k15.out",
      "drat": "VERIFIED",
      "drat_bytes": 17552
    },
    {
      "n": 24,
      "d": 8,
      "indeg0": 14,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 12498 30639",
      "status": "UNSAT",
      "time_s": 0.045,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-24-8-k14.cnf",
      "out": "ch-24-8-k14.out",
      "drat": "VERIFIED",
      "drat_bytes": 24731
    },
    {
      "n": 24,
      "d": 8,
      "indeg0": 13,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 12542 30720",
      "status": "UNSAT",
      "time_s": 0.019,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-24-8-k13.cnf",
      "out": "ch-24-8-k13.out",
      "drat": "VERIFIED",
      "drat_bytes": 59096
    },
    {
      "n": 24,
      "d": 8,
      "indeg0": 12,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 12586 30801",
      "status": "UNSAT",
      "time_s": 0.005,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-24-8-k12.cnf",
      "out": "ch-24-8-k12.out",
      "drat": "VERIFIED",
      "drat_bytes": 60334
    },
    {
      "n": 24,
      "d": 8,
      "indeg0": 11,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 12630 30882",
      "status": "UNSAT",
      "time_s": 0.018,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-24-8-k11.cnf",
      "out": "ch-24-8-k11.out",
      "drat": "VERIFIED",
      "drat_bytes": 107800
    },
    {
      "n": 24,
      "d": 8,
      "indeg0": 10,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 12674 30963",
      "status": "UNSAT",
      "time_s": 0.042,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-24-8-k10.cnf",
      "out": "ch-24-8-k10.out",
      "drat": "VERIFIED",
      "drat_bytes": 99034
    },
    {
      "n": 24,
      "d": 8,
      "indeg0": 9,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 12718 31044",
      "status": "UNSAT",
      "time_s": 0.033,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-24-8-k9.cnf",
      "out": "ch-24-8-k9.out",
      "drat": "VERIFIED",
      "drat_bytes": 94393
    },
    {
      "n": 24,
      "d": 8,
      "indeg0": 8,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 12762 31125",
      "status": "UNSAT",
      "time_s": 0.033,
      "timeout_s": 180,
      "returncode": 20,
      "cnf": "ch-24-8-k8.cnf",
      "out": "ch-24-8-k8.out",
      "drat": "VERIFIED",
      "drat_bytes": 89170
    }
  ],
  "note": "all cubes UNSAT with DRAT is a certificate of the exact statement"
}