Sure but if so wouldn't ChatGPT 5.2 Pro also "just memorizing the existing solution?"?

No it's not, you can refer to my link and subsequent discussion.

I don't see what's related there but anyway unless you have access to information from within OpenAI I don't see how you can claim what was or wasn't in the training data of ChatGPT 5.2 Pro.

On the contrary for DeepSeek you could but not for a non open model.

I am basing on Terrence Tao comment here: https://news.ycombinator.com/item?id=46665168

It says that the OpenAI proof is a different one from the published one in the literature.

Whereas whether the Deepseek proof is the same as the published one, I dont know enough of the math to judge.

That was what I meant.