Relation R is weak-transitive if R(x,y) and R(y,z) and x /= z implies R(x,z).
(<=> (Weak-Transitive-Relation ?R) (And (Binary-Relation ?R) (=> (And (Holds ?R ?X ?Y) (Holds ?R ?Y ?Z) (Not (= ?X ?Z))) (Holds ?R ?X ?Z))))