CPU Geometry Proving Breakthrough: How HAGeo Outperforms Neural Networks

Breaking the Neural Network Barrier: How a CPU-Only System Achieved Gold Medal Performance in Olympiad Geometry Core Question: Can geometry theorem proving achieve world-class performance without relying on neural networks or specialized hardware? For decades, automated theorem proving in Euclidean geometry has remained one of artificial intelligence’s most persistent challenges. While recent advances like AlphaGeometry demonstrated impressive capabilities by combining neural networks with symbolic reasoning, they relied heavily on GPU resources and complex machine learning infrastructure. This dependency created barriers for researchers and educators with limited computational resources. Now, a breakthrough method called HAGeo (Heuristic-based Auxiliary constructions in Geometric deduction) …