A unary relation is a relation of arity 1. Unary relations are the same thing as classes. In this ontology there is no logical distinction between a monadic predicate (unary relation) and a type (class).
(<=> (Unary-Relation ?Relation) (And (Relation ?Relation) (Not (Empty ?Relation)) (Forall (?Tuple) (=> (Member ?Tuple ?Relation) (Single ?Tuple)))))