I already finished adding proof (including first-order) terms to prover.pl; I still need to finish them for proverD.pl. I'd like to explore adding support for equality theories. Maybe I should just support a FIXED equality theory (a rewrite system): theorem proving modulo a fixed equality theory. Alternatively, coding induction would be interesting. Another possibility is to aim for a "canonical" intuitionistic prover that is clean enough to release widely. If that's my aim, I'd like to have a code walk through with someone else.