math-050-disprove: Disprove Vaught's Conjecture

[IndieMath:math-050:disprove] Disprove the Vaught's Conjecture conjecture through an IndieMath AI research attempt. Canonical statement: A complete first-order theory in a countable language has either at most countably many or exactly 2^{ℵ₀} non-isomorphic countable models — never an intermediate number. Contributions fund model usage and related compute for this direction.

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