It probably will, but not the way we all imagine. What we see now is an attempt to recycle the interactive provers that took decades to develop. Writing code, experimenting with new ideas and getting feedback has always been a very slow process in academia. Getting accepted at a top peer-reviewed conference takes months and even years. The essential knowledge is hidden inside big corps that only promote their "products" and rarely give the knowledge back.

LLMs enable code bootstrapping and experimentation faster not only for the vibe coders, but also for the researchers, many of them are not really good coders, btw. It may well be that we will see new wild verification tools soon that come as a result of quick iteration with LLMs.

For example, I recently wrote an experimental distributed bug finder for TLA+ with Claude in about three weeks. A couple of years ago that effort would require three months and a team of three people.