MAYBE MAYBE TRS: { from(X) -> cons(X), sel(0(), cons(X)) -> X, sel(s(N), cons(X)) -> sel(N, XS), minus(X, 0()) -> 0(), minus(s(X), s(Y)) -> minus(X, Y), quot(0(), s(Y)) -> 0(), quot(s(X), s(Y)) -> s(quot(minus(X, Y), s(Y))), zWquot(XS, nil()) -> nil(), zWquot(cons(X), cons(Y)) -> cons(quot(X, Y)), zWquot(nil(), XS) -> nil() } DUP: We consider a duplicating system. Trs: { from(X) -> cons(X), sel(0(), cons(X)) -> X, sel(s(N), cons(X)) -> sel(N, XS), minus(X, 0()) -> 0(), minus(s(X), s(Y)) -> minus(X, Y), quot(0(), s(Y)) -> 0(), quot(s(X), s(Y)) -> s(quot(minus(X, Y), s(Y))), zWquot(XS, nil()) -> nil(), zWquot(cons(X), cons(Y)) -> cons(quot(X, Y)), zWquot(nil(), XS) -> nil() } Fail