Okay, I mentioned this in some of my past comments, but try this: Ask your "AI" something about a non-popular domain (e.g., Clifford algebra) or even ask it to

Okay, I mentioned this in some of my past comments, but try this: Ask your "AI" something about a non-popular domain (e.g., Clifford algebra) or even ask it to derive something (e.g., the geometric product) given some axioms and definitions. Mathematics is precise as it gets, yet it failed to derive the geometric product given a set of axioms (e.g., distributive property) and definitions. Ask it to derive a theorem from perspective geometry. Or, try something else that is not so popular or widespread (something outside of math), I suspect, that it also does a poor job deriving things from principles (axioms, definitions, theorems).