files / problems / caccetta-haggkvist-k3 / compute / q2 / certs / keep / n32_cubes_summary.json
{
"n": 32,
"d": 11,
"k_range": [
11,
20
],
"pigeonhole": {
"n": 32,
"d": 11,
"arcs": 352,
"mean_indeg": 11,
"k_min_pigeonhole": 11,
"k_max_absolute": 20,
"k_max_count": 19,
"needed_cubes": [
11,
12,
13,
14,
15,
16,
17,
18,
19
],
"empty_by_count": [
20
]
},
"all_unsat": true,
"leftover": [],
"rows": [
{
"n": 32,
"d": 11,
"indeg0": 20,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 30423 73974",
"status": "UNSAT",
"time_s": 0.028,
"timeout_s": 120,
"returncode": 20,
"cnf": "ch-32-11-k20.cnf",
"out": "ch-32-11-k20.out",
"drat": "VERIFIED",
"drat_bytes": 39092
},
{
"n": 32,
"d": 11,
"indeg0": 19,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 30422 73839",
"status": "UNSAT",
"time_s": 0.005,
"timeout_s": 120,
"returncode": 20,
"cnf": "ch-32-11-k19.cnf",
"out": "ch-32-11-k19.out",
"drat": "VERIFIED",
"drat_bytes": 52563
},
{
"n": 32,
"d": 11,
"indeg0": 18,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 30482 73949",
"status": "UNSAT",
"time_s": 0.033,
"timeout_s": 120,
"returncode": 20,
"cnf": "ch-32-11-k18.cnf",
"out": "ch-32-11-k18.out",
"drat": "VERIFIED",
"drat_bytes": 146220
},
{
"n": 32,
"d": 11,
"indeg0": 17,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 30542 74059",
"status": "UNSAT",
"time_s": 0.019,
"timeout_s": 120,
"returncode": 20,
"cnf": "ch-32-11-k17.cnf",
"out": "ch-32-11-k17.out",
"drat": "VERIFIED",
"drat_bytes": 148132
},
{
"n": 32,
"d": 11,
"indeg0": 16,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 30602 74169",
"status": "UNSAT",
"time_s": 0.07,
"timeout_s": 120,
"returncode": 20,
"cnf": "ch-32-11-k16.cnf",
"out": "ch-32-11-k16.out",
"drat": "VERIFIED",
"drat_bytes": 265783
},
{
"n": 32,
"d": 11,
"indeg0": 15,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 30662 74279",
"status": "UNSAT",
"time_s": 0.058,
"timeout_s": 120,
"returncode": 20,
"cnf": "ch-32-11-k15.cnf",
"out": "ch-32-11-k15.out",
"drat": "VERIFIED",
"drat_bytes": 250851
},
{
"n": 32,
"d": 11,
"indeg0": 14,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 30722 74389",
"status": "UNSAT",
"time_s": 0.07,
"timeout_s": 120,
"returncode": 20,
"cnf": "ch-32-11-k14.cnf",
"out": "ch-32-11-k14.out",
"drat": "VERIFIED",
"drat_bytes": 241875
},
{
"n": 32,
"d": 11,
"indeg0": 13,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 30782 74499",
"status": "UNSAT",
"time_s": 0.051,
"timeout_s": 120,
"returncode": 20,
"cnf": "ch-32-11-k13.cnf",
"out": "ch-32-11-k13.out",
"drat": "VERIFIED",
"drat_bytes": 235958
},
{
"n": 32,
"d": 11,
"indeg0": 12,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 30842 74609",
"status": "UNSAT",
"time_s": 0.051,
"timeout_s": 120,
"returncode": 20,
"cnf": "ch-32-11-k12.cnf",
"out": "ch-32-11-k12.out",
"drat": "VERIFIED",
"drat_bytes": 223704
},
{
"n": 32,
"d": 11,
"indeg0": 11,
"u_from_1": null,
"nplus1_from_2": null,
"exact_in": false,
"sb": true,
"header": "p cnf 30902 74719",
"status": "UNSAT",
"time_s": 0.055,
"timeout_s": 120,
"returncode": 20,
"cnf": "ch-32-11-k11.cnf",
"out": "ch-32-11-k11.out",
"drat": "VERIFIED",
"drat_bytes": 213902
}
],
"note": "all cubes UNSAT with DRAT is a certificate of the exact statement"
}