|Trivial answer: TLAPS can prove
TRUE /\ Next => TRUE'
for any formula Next.
More seriously, I would not expect this kind of problem to be proved automatically for anything but small specs and simple invariants. More importantly in practice, TLAPS is of no help when your invariant is not inductive (which is the case when you start a proof), and model checking can help you debug your invariant over small domains before you prove it in general.
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