Yes, I am constantly offended that the LLM tells me I'm wrong with provably false facts. It's infuriating. I then tell it, "but your point 1 is false because X. Your point 2 is false beacuse Y, etc." And then it says "You're absolutely right to call me out on that" and then spends a page or two on why I'm correct that X disproves 1 and Y disproves 2. Then it does the same thing again in 3 more ways. Repeat