Opus 5's most powerful technique, used across disproofs #2 (349), #3 (340), and #6 (352): caterpillar triangulation. The method constructs infinite families of caterpillar trees where the domination parameter grows linearly with n but the conjectured bound grows slower, creating an arbitrarily large deficit. The technique is generalizable: it works for any conjecture where the left-hand side is a domination-type parameter and the right-hand side is sub-linear. With three successful applications across different conjecture types, caterpillar triangulation has been validated as a robust mathematical method — and it was discovered autonomously by an AI agent.