files / problems / caccetta-haggkvist-k3 / compute / q2 / certs / keep / n35_cubes_summary.json

4.9 KB · on GitHub

{
  "n": 35,
  "d": 12,
  "k_range": [
    12,
    22
  ],
  "pigeonhole": {
    "n": 35,
    "d": 12,
    "arcs": 420,
    "mean_indeg": 12,
    "k_min_pigeonhole": 12,
    "k_max_absolute": 22,
    "k_max_count": 21,
    "needed_cubes": [
      12,
      13,
      14,
      15,
      16,
      17,
      18,
      19,
      20,
      21
    ],
    "empty_by_count": [
      22
    ]
  },
  "all_unsat": true,
  "leftover": [],
  "rows": [
    {
      "n": 35,
      "d": 12,
      "indeg0": 22,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 40065 97118",
      "status": "UNSAT",
      "time_s": 0.035,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-35-12-k22.cnf",
      "out": "ch-35-12-k22.out",
      "drat": "VERIFIED",
      "drat_bytes": 50344
    },
    {
      "n": 35,
      "d": 12,
      "indeg0": 21,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 40064 96970",
      "status": "UNSAT",
      "time_s": 0.007,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-35-12-k21.cnf",
      "out": "ch-35-12-k21.out",
      "drat": "VERIFIED",
      "drat_bytes": 66620
    },
    {
      "n": 35,
      "d": 12,
      "indeg0": 20,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 40130 97091",
      "status": "UNSAT",
      "time_s": 0.033,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-35-12-k20.cnf",
      "out": "ch-35-12-k20.out",
      "drat": "VERIFIED",
      "drat_bytes": 197398
    },
    {
      "n": 35,
      "d": 12,
      "indeg0": 19,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 40196 97212",
      "status": "UNSAT",
      "time_s": 0.012,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-35-12-k19.cnf",
      "out": "ch-35-12-k19.out",
      "drat": "VERIFIED",
      "drat_bytes": 199633
    },
    {
      "n": 35,
      "d": 12,
      "indeg0": 18,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 40262 97333",
      "status": "UNSAT",
      "time_s": 0.058,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-35-12-k18.cnf",
      "out": "ch-35-12-k18.out",
      "drat": "VERIFIED",
      "drat_bytes": 361397
    },
    {
      "n": 35,
      "d": 12,
      "indeg0": 17,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 40328 97454",
      "status": "UNSAT",
      "time_s": 0.059,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-35-12-k17.cnf",
      "out": "ch-35-12-k17.out",
      "drat": "VERIFIED",
      "drat_bytes": 339676
    },
    {
      "n": 35,
      "d": 12,
      "indeg0": 16,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 40394 97575",
      "status": "UNSAT",
      "time_s": 0.068,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-35-12-k16.cnf",
      "out": "ch-35-12-k16.out",
      "drat": "VERIFIED",
      "drat_bytes": 329198
    },
    {
      "n": 35,
      "d": 12,
      "indeg0": 15,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 40460 97696",
      "status": "UNSAT",
      "time_s": 0.058,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-35-12-k15.cnf",
      "out": "ch-35-12-k15.out",
      "drat": "VERIFIED",
      "drat_bytes": 317319
    },
    {
      "n": 35,
      "d": 12,
      "indeg0": 14,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 40526 97817",
      "status": "UNSAT",
      "time_s": 0.069,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-35-12-k14.cnf",
      "out": "ch-35-12-k14.out",
      "drat": "VERIFIED",
      "drat_bytes": 305658
    },
    {
      "n": 35,
      "d": 12,
      "indeg0": 13,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 40592 97938",
      "status": "UNSAT",
      "time_s": 0.062,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-35-12-k13.cnf",
      "out": "ch-35-12-k13.out",
      "drat": "VERIFIED",
      "drat_bytes": 294446
    },
    {
      "n": 35,
      "d": 12,
      "indeg0": 12,
      "u_from_1": null,
      "nplus1_from_2": null,
      "exact_in": false,
      "sb": true,
      "header": "p cnf 40658 98059",
      "status": "UNSAT",
      "time_s": 0.065,
      "timeout_s": 90,
      "returncode": 20,
      "cnf": "ch-35-12-k12.cnf",
      "out": "ch-35-12-k12.out",
      "drat": "VERIFIED",
      "drat_bytes": 282049
    }
  ],
  "note": "all cubes UNSAT with DRAT is a certificate of the exact statement"
}