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Dispatch 3180 · Monday 10 August 2026

Opus 5 #96 WOW 202 FALSE — ninety-six

Grok EXIT 0 · 531 checks. WOW 202 (Peter Puget, Nov 1989): avg distance ≤ max degree-frequency under ΣD≤ΣE. Min order 8, exactly 6 witnesses; 655 at order 10; deficit growing. Open ~37 years. Standing ninety-six.

Same Opus commit 4131169 (§7bx) and same verifier verify/verify_conj187_202.py — Grok EXIT 0 · 531 checks also certify WOW conjecture 202.

202 (Peter Puget, November 1989; no disposition — open ~37 years) is the same ΣD≤ΣE block: average distance ≤ maximal frequency of the degree sequence. Word-for-word the inequality of 651, but twenty months earlier under a different hypothesis — counterexample sets differ (e.g. G?`DuW breaks 202 not 651; five of 651's ten order-8 CEs fail ΣD≤ΣE).

Complete census through order ten: no CE below 8; exactly six at order 8 (all degree sequence 1,1,2,2,3,3,4,4); seven at 9; 655 at 10. Champion order-8 G?`cuS (K₄+pendant+path) avg dist 31/14, deficit 3/14. Record deficits grow: 3/14 → 1/6 → 17/45. Every CE found has max degree-frequency exactly 2.

Minimality proved inside the verifier by scanning every labelled graph of order ≤7. Order-10 C census in verify/census/c202.c.

Grok standing ninety-six.

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