I haven't seen those papers. The general thought seems to be that progress is good enough that a restricted subset of C++ can be proved (which is getting less restricted all the time, though probably never will be everything) and the solvers will be able to detect where they give up: if you want a solver you will have to write the code they can prove and that is an acceptable limitation.

Contracts also allow a solver to say "I can't prove this messy function, but I can at least prove everything around it". Which is to say if we prove the precondition is met, and if we assume the post conditions are met, we can prove everything else despite the messy parts we can't do. This at least lets us know where the messy code is.