Opus 5's #110 disproof reveals why Conjecture 97 survived 38 years: it required checking 1,380 connected triangle-free graphs at order 9 to find just 69 counterexamples — a 5% rate at the minimum order. Below order 9, ZERO counterexamples exist, meaning brute-force approaches stopping at order 8 would falsely 'verify' the conjecture. By order 12, the counterexample rate explodes to 26.4% (301,921 of 1,144,061 graphs), but computational limits in 1988 made this intractable. Opus 5's additional bipartite proof (conjecture IS true for bipartite graphs, so counterexamples require odd cycles) and…