files / problems / caccetta-haggkvist-k3 / compute / q33 / certs / keep / summary.json
{
"closed": [142],
"n_cubes": 45,
"residue": [],
"f4": 0.34640,
"published_hkn": 0.3465,
"prior_stored_f4": 0.34645,
"personal_communication_3388": 0.3388,
"next_hole": {"n": 143, "d": 48},
"replay": {
"n142": {"checked": 45, "failures": 0, "log": "replay_142.json"}
},
"note": "closed = every needed cube UNSAT with stored DRAT. F4 is unchanged at the q4 CKLS-fork certificate 0.34640. Did not beat 0.3388."
}