MAYBE
Trs:
 { quot(0(), s(y), z) -> 0(),
  quot(s(x), s(y), z) -> quot(x, y, z),
   quot(x, 0(), s(z)) -> s(div(x, s(z))),
          div(0(), y) -> 0(),
            div(x, y) -> quot(x, y, y)}
 Comment:
  We consider a duplicating trs.
  FAIL:
   Open