First time I see Z3 in the wild. Bonus points for the CLI friendly model checker, but lisp syntax... is less legible than TLA+ imho. Gotta give it a try someday to see for myself if the experience of creating the spec is better.
> but lisp syntax... is less legible than TLA+ imho.
I've developed theorem provers with more natural syntax, and in retrospect simpler grammars are better. The stone cold truth is that most people aren't interested in using theorem provers directly; instead, they're programmatically generating queries. Simpler grammar = easier to generate, and that out-weighs direct usability.
In my next system I'll be supporting both types of grammars in the parser.
Z3 is intended as more of a backend for higher-level languages, like TLA+, to use in model checking. I would be surprised if anyone were writing specs in the input language directly.