You could think of Spack (github.com/spack/spack) as a nix/guix-like model, but with a solver. Spack uses ASP (which is prolog-like but reduces to SAT with optimization) but packages are written in an embedded python DSL.
Anyone who has done the basics in Prolog could "logically" pull this off (e.g. some rule requires another rule, or however Prolog works; it's been a long time since I looked at it), but all of the extra stuff in the library (e.g. all of the systemd tweaking, interface, etc) is a LOT of man hours.
I heard about Spack [0] on a recent cppcast episode, which seems like a competitor to Nix (but from the supercomputing side of things), but I don't know if they do the OS-level stuff (vs. nix shell / conda / pip / gem replacement stuff).
As to why Nix wasn't some system written using Haskell (for actual language features that is also lazy) or Prolog (for its whole thing about solving constraint-based problems all over the place), I will never understand...