files / problems / caccetta-haggkvist-k3 / compute / q2 / certs / keep / n30_cubes_summary.json
{
"n": 30,
"d": 10,
"k_range": [
10,
19
],
"pigeonhole": {
"n": 30,
"d": 10,
"arcs": 300,
"mean_indeg": 10,
"k_min_pigeonhole": 10,
"k_max_absolute": 19,
"k_max_count": 18,
"needed_cubes": [
10,
11,
12,
13,
14,
15,
16,
17,
18
],
"empty_by_count": [
19
]
},
"all_unsat": true,
"leftover": [],
"rows": [
{
"n": 30,
"d": 10,
"indeg0": 19,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 24923 60748",
"status": "UNSAT",
"time_s": 0.011,
"timeout_s": 180,
"returncode": 20,
"cnf": "ch-30-10-k19.cnf",
"out": "ch-30-10-k19.out",
"drat": "VERIFIED",
"drat_bytes": 31381
},
{
"n": 30,
"d": 10,
"indeg0": 18,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 24922 60622",
"status": "UNSAT",
"time_s": 0.004,
"timeout_s": 180,
"returncode": 20,
"cnf": "ch-30-10-k18.cnf",
"out": "ch-30-10-k18.out",
"drat": "VERIFIED",
"drat_bytes": 43105
},
{
"n": 30,
"d": 10,
"indeg0": 17,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 24978 60725",
"status": "UNSAT",
"time_s": 0.029,
"timeout_s": 180,
"returncode": 20,
"cnf": "ch-30-10-k17.cnf",
"out": "ch-30-10-k17.out",
"drat": "VERIFIED",
"drat_bytes": 115853
},
{
"n": 30,
"d": 10,
"indeg0": 16,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 25034 60828",
"status": "UNSAT",
"time_s": 0.016,
"timeout_s": 180,
"returncode": 20,
"cnf": "ch-30-10-k16.cnf",
"out": "ch-30-10-k16.out",
"drat": "VERIFIED",
"drat_bytes": 117640
},
{
"n": 30,
"d": 10,
"indeg0": 15,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 25090 60931",
"status": "UNSAT",
"time_s": 0.06,
"timeout_s": 180,
"returncode": 20,
"cnf": "ch-30-10-k15.cnf",
"out": "ch-30-10-k15.out",
"drat": "VERIFIED",
"drat_bytes": 211298
},
{
"n": 30,
"d": 10,
"indeg0": 14,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 25146 61034",
"status": "UNSAT",
"time_s": 0.044,
"timeout_s": 180,
"returncode": 20,
"cnf": "ch-30-10-k14.cnf",
"out": "ch-30-10-k14.out",
"drat": "VERIFIED",
"drat_bytes": 199884
},
{
"n": 30,
"d": 10,
"indeg0": 13,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 25202 61137",
"status": "UNSAT",
"time_s": 0.044,
"timeout_s": 180,
"returncode": 20,
"cnf": "ch-30-10-k13.cnf",
"out": "ch-30-10-k13.out",
"drat": "VERIFIED",
"drat_bytes": 191244
},
{
"n": 30,
"d": 10,
"indeg0": 12,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 25258 61240",
"status": "UNSAT",
"time_s": 0.045,
"timeout_s": 180,
"returncode": 20,
"cnf": "ch-30-10-k12.cnf",
"out": "ch-30-10-k12.out",
"drat": "VERIFIED",
"drat_bytes": 185083
},
{
"n": 30,
"d": 10,
"indeg0": 11,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 25314 61343",
"status": "UNSAT",
"time_s": 0.071,
"timeout_s": 180,
"returncode": 20,
"cnf": "ch-30-10-k11.cnf",
"out": "ch-30-10-k11.out",
"drat": "VERIFIED",
"drat_bytes": 179425
},
{
"n": 30,
"d": 10,
"indeg0": 10,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 25370 61446",
"status": "UNSAT",
"time_s": 0.048,
"timeout_s": 180,
"returncode": 20,
"cnf": "ch-30-10-k10.cnf",
"out": "ch-30-10-k10.out",
"drat": "VERIFIED",
"drat_bytes": 169390
}
],
"note": "all cubes UNSAT with DRAT is a certificate of the exact statement"
}