We consider the system 480. Alphabet: a : [] --> o b : [] --> o f : [o * o -> o] --> o g : [o * o] --> o Rules: f(X, /\x.Y(x)) => Y(X) g(a, a) => f(a, /\x.g(b, x)) b => a It is easy to see that this system is non-terminating: g(a, a) => f(a, /\x.g(b, x)) => f(a, /\x.g(a, x)) => g(a, a) That is, a term s reduces to a term t which instantiates s.