MAYBE MAYBE TRS: { activate(X) -> X, activate(n__cons(X1, X2)) -> cons(activate(X1), X2), activate(n__from(X)) -> from(activate(X)), activate(n__s(X)) -> s(activate(X)), 2nd(cons(X, n__cons(Y, Z))) -> activate(Y), cons(X1, X2) -> n__cons(X1, X2), from(X) -> cons(X, n__from(n__s(X))), from(X) -> n__from(X), s(X) -> n__s(X) } DUP: We consider a duplicating system. Trs: { activate(X) -> X, activate(n__cons(X1, X2)) -> cons(activate(X1), X2), activate(n__from(X)) -> from(activate(X)), activate(n__s(X)) -> s(activate(X)), 2nd(cons(X, n__cons(Y, Z))) -> activate(Y), cons(X1, X2) -> n__cons(X1, X2), from(X) -> cons(X, n__from(n__s(X))), from(X) -> n__from(X), s(X) -> n__s(X) } Fail