There are known algorithms that can solve _all_ problems in euclidean (ruler-and-compasses) geometry, no intuition required. The most effective algorithms of th

There are known algorithms that can solve _all_ problems in euclidean (ruler-and-compasses) geometry, no intuition required. The most effective algorithms of this type are quite inefficient, though, and (at least according to DeepMind) don't do as well as AlphaGeometry does at e.g. IMO geometry problems.