Just build with Cabal:
cabal install
Run the theorem prover from the command line passing a lexicon as an argument (there's a sample 'lexicon' file in the repo):
lambek-monad lexicon
Point your browser at http://localhost:8000 and try to input a sequent (the left hand side is a sentence, the right hand side is the target formula). Ex:
John doesnt_believe Hesperus is Phosphorus => <>s