MAYBE MAYBE TRS: { from(X) -> cons(X, n__from(n__s(X))), from(X) -> n__from(X), after(0(), XS) -> XS, after(s(N), cons(X, XS)) -> after(N, activate(XS)), activate(X) -> X, activate(n__from(X)) -> from(activate(X)), activate(n__s(X)) -> s(activate(X)), s(X) -> n__s(X) } DUP: We consider a duplicating system. Trs: { from(X) -> cons(X, n__from(n__s(X))), from(X) -> n__from(X), after(0(), XS) -> XS, after(s(N), cons(X, XS)) -> after(N, activate(XS)), activate(X) -> X, activate(n__from(X)) -> from(activate(X)), activate(n__s(X)) -> s(activate(X)), s(X) -> n__s(X) } Fail