I was discussing simple topology with chatgpt o4. It just needed to keep in mind around 4 definitions. Apparently at some point it failed to spot the contradiction. Fast forward some wasted prompts, I decided to use o3 and it spotted the contradiction after 8 seconds of thinking.
Moral of the story: reflect before reacting.
I know my kind likes to think in terms of morality, gain, loss, etc. So I hope this short writing helped you gain an insight ;)