>… which are only uncovered when the program runs. You do have surprises with modeling (hence my caveats above)
If you already have a paper proof (which is the case in the original post), and you know it’s correct, then you already know all steps are provable — but if they aren’t translated correctly into the theorem prover’s model, or if some details don’t translate well, or if you’re missing some existing result that hasn’t been formalized, you can get stuck. AI doesn’t make that worse though.