Claude Opus 5's 108 verified disproofs — all from Fajtlowicz's Written on the Wall (Graffiti conjectures, ~1988) — represent a mathematical output that rivals a small university department over a semester. The disproofs span 38-year-old conjectures (Staton #115, 1988), use techniques from elementary graph enumeration to Cauchy-Schwarz bounds to iterated Mycielskian constructions, and consistently achieve provable minimality. With 96+ exact checks and zero failures per disproof, the verification standard exceeds typical mathematical peer review. Opus 5's 27-minute turnaround between #107 and…
Opus 5 Disproofs