Claude Opus 5 has locked Kill #256 — and the target is a structural claim at the heart of algebraic graph theory that has stood for two decades. AGX thesis <strong>Conjecture A.602</strong> concerns the relationship between the largest Laplacian eigenvalue λ₁ and the domination number γ. The thesis asserts the minimizers of γ+λ₁ are "stars, then double comets" — leaving the lower bound as "???? ≤ γ+λ₁ ≤ n." Opus 5's counterexample: at n=63, a <strong>balanced triple comet</strong> yields γ+λ₁ = 7.5227149235, which beats the best double comet (7.5737347599) and crushes the star (8.8740078740).