  I propose a system for Automated Theorem Proving in higher order logic using
deep learning and eschewing hand-constructed features. Holophrasm exploits the
formalism of the Metamath language and explores partial proof trees using a
neural-network-augmented bandit algorithm and a sequence-to-sequence model for
action enumeration. The system proves 14% of its test theorems from Metamath's
set.mm module.
