TRS:
 {               ge(x, 0()) -> true(),
              ge(0(), s(y)) -> false(),
             ge(s(x), s(y)) -> ge(x, y),
              minus(x, 0()) -> x,
              minus(0(), y) -> 0(),
          minus(s(x), s(y)) -> minus(x, y),
                  id_inc(x) -> x,
                  id_inc(x) -> s(x),
                  div(x, y) -> if(ge(y, s(0())), ge(x, y), x, y),
       if(false(), b, x, y) -> div_by_zero(),
  if(true(), false(), x, y) -> 0(),
   if(true(), true(), x, y) -> id_inc(div(minus(x, y), y))}
 Fail