The use of formal methods in NASA proves that they are useful and that the software industry should give it much more importance in my opinion.
https://ntrs.nasa.gov/search.jsp?N=0&Ntk=All&Ntt=formal%20me...
https://ntrs.nasa.gov/search.jsp?N=0&Ntk=All&Ntt=formal%20me...
It doesn't prove that they provide a good ROI for a business looking to ship CRUD apps yesterday.
I could see formal methods for things that might kill people as possible but even there spending all of your money to deliver perfect code vs still being in business with something good enough is an easy math for most CEOs.