MAYBE MAYBE TRS: { f(X) -> n__f(X), f(0()) -> cons(0(), n__f(s(0()))), f(s(0())) -> f(p(s(0()))), p(s(X)) -> X, activate(X) -> X, activate(n__f(X)) -> f(X) } DUP: We consider a non-duplicating system. Trs: { f(X) -> n__f(X), f(0()) -> cons(0(), n__f(s(0()))), f(s(0())) -> f(p(s(0()))), p(s(X)) -> X, activate(X) -> X, activate(n__f(X)) -> f(X) } Fail