MAYBE MAYBE TRS: { g(a(), X) -> f(b(), activate(X)), h(X) -> g(X, X), f(X, X) -> h(a()), activate(X) -> X, a() -> b() } DUP: We consider a duplicating system. Trs: { g(a(), X) -> f(b(), activate(X)), h(X) -> g(X, X), f(X, X) -> h(a()), activate(X) -> X, a() -> b() } Fail