We consider the system 783. Alphabet: r : [i -> o] --> o Rules: r(/\x.r(/\y.X(x, y))) => r(/\z.r(/\u.X(u, z))) It is easy to see that this system is non-terminating: r(/\x.r(/\y.f x y)) => r(/\x.r(/\y.f y x)) => r(/\x.r(/\y.f x y)) That is, a term s reduces to a term t which instantiates s.