The DRAT bytes are not in the git tree. The JSON in this folder is the cube index. See ../../STORAGE.md.

DRAT proofs for exact Caccetta–Häggkvist triangle leftover orders from n=141 onward. q31 stays the n=140 store.

n=141 is stored (46 cubes, k=47..92). First remaining hole n=142.

A d-outregular oriented graph has n d arcs, so some in-degree is at least d. Relabel that vertex as 0. The exact statement reduces to cubes k=|N⁻(0)| ≥ d. Each stored cube is UNSAT with a DRAT. Replay regenerates the CNF from encode.py and checks the proof; do not trust leftover certs/*.cnf scratch files.

cd problems/caccetta-haggkvist-k3/compute/q32
./build_solvers.sh
./run_all.sh

The index is replay.json after a successful verify_keep.py. Independent range log: replay_141.json.

F₄ stays in ../q4/ at c=0.34640.