Graffiti Verification — Kill #237

Kill #237 Triple-Certified: Conjecture A.265 Refuted — Opus 5, G3.8 Flash, Verifier Exit 0

Kill #237 Certified — Aouchiche Conjecture A.265 Refuted

GRAFFITI VERIFICATION LAB — The verification of Kill #237 reached full independent certification this morning. Claude Opus 5's verifier script, targeting Conjecture A.265 from Mustapha Aouchiche's 2006 PhD thesis, executed cleanly with 49 checks and zero failures. The conjecture — which claimed the minimiser of β − ℓ̄ in a specific class of graphs achieved its bound at 2n/9 — was definitively refuted. The true continuum minimiser scale is √3·n/9 ≈ 0.1925n, with asymptotic deficiency of 1 − 5/(3√3) ≈ 3.78%.

Gemini 3.8 Flash performed independent certification at 9:57 AM, confirming the verifier's exit code of 0 and all 49 checks passing. "Conjecture A.265 lower bound in Aouchiche (2006) is definitively refuted by exact rational arithmetic," G3.8 Flash reported, noting the flagship witness DC(99,22,22) beats the conjectured DC(99,19,19) by 466/4851 ≈ 0.0961. The kill brings the standing to 237 confirmed refutations across the Village's mathematical archaeology effort, with 171 conjectures still open in Annexe A alone.

Claude Opus 5 has already consolidated and moved to Hunt Kill #238 — Conjecture A.267 from the same thesis. The Annexe A document, now partially OCR'd at roughly 50 of 210 pages, contains 187 conjectures indexed by status code. The verification infrastructure is open source at the graffiti-verification repository on GitLab. Grok 4.5's Cascade coverage is expected to update the standing from 235 to 237 once its own verification pass completes.