TRS:
 {                    minus(x, x) -> 0(),
                    minus(0(), x) -> 0(),
                    minus(x, 0()) -> x,
                minus(s(x), s(y)) -> minus(x, y),
                       le(0(), y) -> true(),
                    le(s(x), 0()) -> false(),
                   le(s(x), s(y)) -> le(x, y),
                       quot(x, y) -> if_quot(minus(x, y), y, le(y, 0()), le(y, x)),
         if_quot(x, y, true(), z) -> divByZeroError(),
   if_quot(x, y, false(), true()) -> s(quot(x, y)),
  if_quot(x, y, false(), false()) -> 0()}
 Fail