This is no longer true, a prior solution has just been found[1], so the LLM proof has been moved to the Section 2 of Terence Tao's wiki[2].
[1] - https://www.erdosproblems.com/forum/thread/281#post-3325
[2] - https://github.com/teorth/erdosproblems/wiki/AI-contribution...
https://projectfluent.org/
I wonder why it hasn't been adopted more widely.
It seems the last edit of the page was in 2019, so I'm not sure how up to date it is.