I'm a researcher in formal verification; my thesis was building a tool to do this kind of stuff and I agree with the grandparent (though I would say probably closer to 5-10x slowdown not 100x).
Proofs are hard and often not for interesting reasons; its stuff like proving that you won't overflow a 2^64 counter which you only increment (aka something which won't happen for another couple billion years).
Current tools are only useful for specific kinds of problems in specific domains; things where a life really depends on correctness. Outside of those cases, lightweight techniques provide much more bang for your buck imo.
Managers don't want that though, for reasons that already Dijkstra has outlined.