Compute — projective plane of order 12
Replay:
python3 replay_identities.py
python3 classify_types.py
python3 macneish_pair.py certs/macneish_involution_2mols.json
python3 verify_involution_mols.py --json certs/macneish_involution_2mols.json
python3 verify_involution_mols.py --json certs/t2_squares.json
./drat-trim certs/mate_t2.cnf certs/mate_t2.drat
./drat-trim certs/mate_macneish.cnf certs/mate_macneish.drat
The last two CNFs are regenerated by encode_mate.py from the family JSON; the checked DRAT files match the CNFs written tonight.
| artifact | claim |
|---|---|
certs/identities.json |
, pair count, , Bruck–Ryser silent |
certs/type_classification.json |
remaining Aut-element types after divisibility |
certs/macneish_involution_2mols.json |
explicit involution 2-MOLS (MacNeish product) |
certs/t1_squares.json, certs/t2_squares.json |
SAT witnesses for |
certs/mate_t2.drat, certs/mate_macneish.drat |
verified UNSAT: those two 2-families have no third involution-mate |
certs/t3b.cnf / certs/t3c.out |
cell-symbol; kissat UNKNOWN at 2396s / 45M conflicts |
certs/sd3.cnf / certs/sd3.out |
; kissat UNKNOWN at 2396s / 21M conflicts |
kissat 4.0.4 and drat-trim are local copies. Do not treat a SAT timeout as an exclusion.