> Where this differs from Bend is that what we have supplied here is everything required to prove the correctness of the program, without having a LLM waste time and tokens on building up a 442 line proof from first principles. We can run GNATprove and get: `Success: all checks proved (12 checks).`

GNATprove uses SMT solvers, meaning it's basically a brute force proof system.

Yes, brute-force proofs are easier than symbolic proofs (lean, bend, etc.) because you don't have to supply a proof. It's all automatic.

But brute-force proofs don't scale to nearly anything of interest, which is why formal verification has been a niche field for 30 years, until now where LLM can write _actual_ proofs.