Three years ago, people were saying "LLMs just generate plausible-sounding text, they don't understand the notion of truth so they can't do verifiable work like math proofs."
You need a problem where you both know what the solution looks like or can otherwise very quickly and efficiently determine that a solution is correct, but at the same time can't work out a correct solution with a similar amount of effort/time/cost as it took to determine how to verify a solution.
Most problems don't match that criteria. You usually either have a problem with a known method of solving, or you have a problem with no clear way of verifying the solution besides the act of finding the solution itself which would involve in some way proving it is correct, or you have a problem where verifying a solution takes a very long time or has a high cost or even can't be done more than once, so you need to try to determine the best solution without being able to actually test or verify.
Basically all problems just don't fit the "hard to solve but easy to verify" criteria to a degree that makes llms a good fit. On the other hand, there are so many problems that even a tiny fraction is a relatively large number.
There have only been a few thousand wars, and they’re all different and all different in the world in which they occurred. The dimensionality is absurd, which is not a problem for LLMs if there’s enough data, but in this case there isn’t.
Nobody that understands automated proof checking was claiming that.
a) No one ever said that.
b) Your comment shows a lack of understanding of the notion of truth.