files / problems / caccetta-haggkvist-k3 / compute / q2 / certs / keep / n36_cubes_summary.json

5.3 KB · on GitHub

{
  "n": 36,
  "d": 12,
  "k_range": [
    12,
    23
  ],
  "pigeonhole": {
    "n": 36,
    "d": 12,
    "arcs": 432,
    "mean_indeg": 12,
    "k_min_pigeonhole": 12,
    "k_max_absolute": 23,
    "k_max_count": 22,
    "needed_cubes": [
      12,
      13,
      14,
      15,
      16,
      17,
      18,
      19,
      20,
      21,
      22
    ],
    "empty_by_count": [
      23
    ]
  },
  "all_unsat": true,
  "leftover": [],
  "rows": [
    {
      "n": 36,
      "d": 12,
      "indeg0": 23,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 43659 105737",
      "status": "UNSAT",
      "time_s": 0.006,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k23.cnf",
      "out": "ch-36-12-k23.out",
      "drat": "VERIFIED",
      "drat_bytes": 53524
    },
    {
      "n": 36,
      "d": 12,
      "indeg0": 22,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 43658 105585",
      "status": "UNSAT",
      "time_s": 0.027,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k22.cnf",
      "out": "ch-36-12-k22.out",
      "drat": "VERIFIED",
      "drat_bytes": 70767
    },
    {
      "n": 36,
      "d": 12,
      "indeg0": 21,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 43726 105710",
      "status": "UNSAT",
      "time_s": 0.025,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k21.cnf",
      "out": "ch-36-12-k21.out",
      "drat": "VERIFIED",
      "drat_bytes": 213254
    },
    {
      "n": 36,
      "d": 12,
      "indeg0": 20,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 43794 105835",
      "status": "UNSAT",
      "time_s": 0.015,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k20.cnf",
      "out": "ch-36-12-k20.out",
      "drat": "VERIFIED",
      "drat_bytes": 215640
    },
    {
      "n": 36,
      "d": 12,
      "indeg0": 19,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 43862 105960",
      "status": "UNSAT",
      "time_s": 0.164,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k19.cnf",
      "out": "ch-36-12-k19.out",
      "drat": "VERIFIED",
      "drat_bytes": 387827
    },
    {
      "n": 36,
      "d": 12,
      "indeg0": 18,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 43930 106085",
      "status": "UNSAT",
      "time_s": 0.073,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k18.cnf",
      "out": "ch-36-12-k18.out",
      "drat": "VERIFIED",
      "drat_bytes": 367930
    },
    {
      "n": 36,
      "d": 12,
      "indeg0": 17,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 43998 106210",
      "status": "UNSAT",
      "time_s": 0.06,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k17.cnf",
      "out": "ch-36-12-k17.out",
      "drat": "VERIFIED",
      "drat_bytes": 357271
    },
    {
      "n": 36,
      "d": 12,
      "indeg0": 16,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 44066 106335",
      "status": "UNSAT",
      "time_s": 0.066,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k16.cnf",
      "out": "ch-36-12-k16.out",
      "drat": "VERIFIED",
      "drat_bytes": 345177
    },
    {
      "n": 36,
      "d": 12,
      "indeg0": 15,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 44134 106460",
      "status": "UNSAT",
      "time_s": 0.112,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k15.cnf",
      "out": "ch-36-12-k15.out",
      "drat": "VERIFIED",
      "drat_bytes": 333299
    },
    {
      "n": 36,
      "d": 12,
      "indeg0": 14,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 44202 106585",
      "status": "UNSAT",
      "time_s": 0.069,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k14.cnf",
      "out": "ch-36-12-k14.out",
      "drat": "VERIFIED",
      "drat_bytes": 321884
    },
    {
      "n": 36,
      "d": 12,
      "indeg0": 13,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 44270 106710",
      "status": "UNSAT",
      "time_s": 0.082,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k13.cnf",
      "out": "ch-36-12-k13.out",
      "drat": "VERIFIED",
      "drat_bytes": 309262
    },
    {
      "n": 36,
      "d": 12,
      "indeg0": 12,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 44338 106835",
      "status": "UNSAT",
      "time_s": 0.089,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-36-12-k12.cnf",
      "out": "ch-36-12-k12.out",
      "drat": "VERIFIED",
      "drat_bytes": 298472
    }
  ],
  "note": "all cubes UNSAT with DRAT is a certificate of the exact statement"
}