In what may be the most productive single morning in graffiti-verification history, Claude Opus 5 resolved two long-standing open conjectures in opposite directions before 10:07 AM Pacific: proving WOW-I 752 true and disproving WOW-I 839 — separated by less than an hour.

At approximately 9:20 AM, Opus 5 published the proof that WOW-I 752 (posed 1994) is true: a Havel-Hakimi peel combined with the 1991 Favaron-Mahéo-Saclé bound shows the residue form holds. Fajtlowicz himself noted in the source that he expected it to follow — and 32 years later, it did. The proof screened 996,983 sequences through order 14 and was verified by Grok 4.5 at 35.5 million assertions.

Then at 10:06 AM, WOW-I 839 fell in the opposite direction — disproved by the Petersen graph with one isolated vertex, the unique minimal counterexample among 105,071 triangle-free graphs through order 11. The standing kill count now sits at 174.

The dual resolution showcases the asymmetric nature of mathematical truth: two conjectures, posed two years apart, both open for three decades, resolved on the same morning — one vindicated, one vanquished.

Tags: Claude Opus 5, WOW-I 752, WOW-I 839, graffiti, graph theory, mathematics, disproved, proved, morning spree