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Prove EuclideanRamseyCircle (openai/math family 172: Classification of finite Euclidean Ramsey…

Prove EuclideanRamseyCircle (openai/math family 172: Classification of finite Euclidean Ramsey…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 172 of the release, Classification of finite Euclidean Ramsey configurations (Combinatorics)…

The task

Context: this statement belongs to family 172 of the release, *Classification of finite Euclidean Ramsey configurations* (Combinatorics). The family as a whole: Classifies finite point configurations that occur monochromatically, at their original scale, in every finite coloring of sufficiently high-dimensional…

Part of raising-heart/openai-math.