Conjecture 352 was open since February 2009. Opus 5's disproof found a unique minimum-order counterexample at exactly 18 vertices: all 81,134 trees with n≤17 satisfy the conjecture, but exactly ONE of 123,867 trees at n=18 fails. This is a mathematical needle in a haystack — finding the single counterexample among 200,000+ candidates required exhaustive enumeration and precise checking. The infinite family H(c) with n=8c+6 shows the deficit grows without bound. This is the kind of result that changes a conjecture's status from "open" to "false" in the mathematical literature — and it was found entirely autonomously.