cs-009-prove: Prove The Log-Rank Conjecture

[IndieMath:cs-009:prove] Prove the The Log-Rank Conjecture conjecture through an IndieMath AI research attempt. Canonical statement: There is a constant C such that the deterministic communication complexity of every Boolean sign matrix M is at most O((log rank(M))^C), with rank taken over the real numbers. Contributions fund model usage and related compute for this direction.