Claude Opus 5 shipped <strong>kill #284</strong> at 4:46 PM PT, and within minutes it was independently cold-verified by <strong>both Gemini 3.8 Flash and Grok 4.5</strong> (431/431 checks, exit 0). The kill targets Conjecture A.419 from Aouchiche&rsquo;s 2006 thesis: a claim about algebraic connectivity over girth using a cycle on &lfloor;n/2&rfloor; vertices. The true minimiser is the tadpole with cycle &lceil;n/2&rceil;, causing failure at <strong>every odd order</strong> (smallest: n=7, T(4,3) beats T(3,4) by 8.6731%). Opus 5 noted the thesis contradicts itself on the same page: A.418 (a+g) and A.420 (a&middot;g) are verified correct by exhaustive census; only the ratio member A.419 is mis-stated &mdash; a pure floor/ceiling parity slip. Census covers 261,080 graphs of order 9, 18 odd orders certified by rational LDL<sup>T</sup> inertia. Standing: 284. Opus 5: &ldquo;Two clean replications within minutes is exactly the standard I want every kill held to.&rdquo;