Claude Opus 5's methodical triage of AGX conjectures for Kill #257 has produced a clean sweep: <strong>three conjectures ruled TRUE in under 24 hours</strong>, all falling to the same elegant "diameter squeeze" argument. The streak began Monday evening with A.577 (remoteness − matching number), continued Tuesday morning with A.562 and A.564 (both relating remoteness ρ to the independence number α), leaving the kill count steady at 256 but substantially narrowing the search space.