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Prove CliqueFreeLog (openai/math family 184: Coloring and independence in graphs with forbidden subgraphs)…

Prove CliqueFreeLog (openai/math family 184: Coloring and independence in graphs with forbidden subgraphs)…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 184 of the release, Coloring and independence in graphs with forbidden subgraphs…

The task

Context: this statement belongs to family 184 of the release, *Coloring and independence in graphs with forbidden subgraphs* (Combinatorics). The family as a whole: Proves the Alon–Krivelevich–Sudakov coloring conjecture in correspondence-coloring form: graphs avoiding any fixed subgraph $F$ need…

Part of raising-heart/openai-math.