"using human-like reasoning (in a brute-force way)"
that's self-contradictory -- what brute force means is doing an exhaustive search of a search space (brute forcing it)
using human-like(?) reasoning means cutting down the search space by having some sort of insight or intuition which allows you to prune branches from the entire tree
LLMs don't search trees. They generate plausible proofs and a human has to check it's true. Repeat until.