MAYBE
MAYBE
TRS:
 {
                     minus(x, 0()) -> x,
             minus(minus(x, y), z) -> minus(x, plus(y, z)),
                 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))),
                      plus(0(), y) -> y,
                     plus(s(x), y) -> s(plus(x, y)),
                     app(l, nil()) -> l,
                     app(nil(), k) -> k,
                app(cons(x, l), k) -> cons(x, app(l, k)),
  sum(app(l, cons(x, cons(y, k)))) -> sum(app(l, sum(cons(x, cons(y, k))))),
               sum(cons(x, nil())) -> cons(x, nil()),
          sum(cons(x, cons(y, l))) -> sum(cons(plus(x, y), l))
 }
 DUP: We consider a duplicating system.
  Trs:
   {
                       minus(x, 0()) -> x,
               minus(minus(x, y), z) -> minus(x, plus(y, z)),
                   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))),
                        plus(0(), y) -> y,
                       plus(s(x), y) -> s(plus(x, y)),
                       app(l, nil()) -> l,
                       app(nil(), k) -> k,
                  app(cons(x, l), k) -> cons(x, app(l, k)),
    sum(app(l, cons(x, cons(y, k)))) -> sum(app(l, sum(cons(x, cons(y, k))))),
                 sum(cons(x, nil())) -> cons(x, nil()),
            sum(cons(x, cons(y, l))) -> sum(cons(plus(x, y), l))
   }
  Fail