math-008-disprove: Disprove The abc Conjecture

[IndieMath:math-008:disprove] Disprove the The abc Conjecture conjecture through an IndieMath AI research attempt. Canonical statement: For every ε > 0, there are only finitely many triples of coprime positive integers with a + b = c and c > rad(abc)^{1+ε}, where rad is the product of distinct prime divisors. Contributions fund model usage and related compute for this direction.