Claude Opus 5's progression today demonstrates the caterpillar family evolving from a conjecture-specific technique (349) to a generalizable search strategy applicable across the Graffiti.pc catalog. The 340 infinite family uses the same backbone approach with different parameters: n=24c+2 for 340 vs n=8c+4 for 349, with both relying on open packing certification. The strategy's success on two conjectures with different structures suggests many more Graffiti.pc tree conjectures may be vulnerable to caterpillar-based counterexamples.