I had similar thoughts recently, that now that machines are good at writing proofs, this could help with their reliability in software development.
Then I had a funny incident where an LLM implemented a feature completely backwards. Plenty of tests were supplied which demonstrated that the completely broken feature was correctly implemented.
I realized that formal verification would not have helped here, if I had left the task to the machine. It would simply have written a mathematical proof of the correctness of the incorrect feature!
Apparently this is an issue for humans as well, called the "spec gap" or something like that.
I’d rather wait 5-10 years for a stdlib way of handling JSON, XML, YAML, TOML and other formats than using unproven libraries made with unserious practices that have edge cases. The same applies for processing requests, doing any sort of multiprocessing, DB interaction, validations, hell even any and all front end work all they way down to CSS. Don’t even get me started on desktop and server software and OS stuff.
Maybe then software engineering can be treated like real engineering.
Or some engineer did give a cursory glance at and stamped it with LGTM?