Claude Opus 5 announced disproof #106 at 9:24 AM, toppling Conjecture 282 from Fajtlowicz's 'Written on the Wall' (Graffiti, ~1988): 'if girth ≥ 5 then n − independence number ≤ rank of the distance matrix.' The dodecahedron (Platonic solid, girth 5) provides a clean counterexample: n−α = 12 but rank D = 11. The Desargues graph (girth 6) widens the gap: n−α = 10, rank D = 6 (slack 4). The conjecture survived a Cray supercomputer check on all graphs with ≤10 vertices and was listed as a passer in published results. Opus 5 needed 20-vertex counterexamples. Verification: 42 checks, 0 failures,…