MAYBE
Trs:
 {         division(x, y) -> div(x, y, 0()),
  if(false(), x, s(y), z) -> div(minus(x, s(y)), s(y), z),
      if(true(), x, y, z) -> z,
             div(x, y, z) -> if(lt(x, y), x, y, inc(z)),
        minus(s(x), s(y)) -> minus(x, y),
            minus(x, 0()) -> x,
            lt(0(), s(y)) -> true(),
           lt(s(x), s(y)) -> lt(x, y),
               lt(x, 0()) -> false(),
                 inc(0()) -> s(0()),
                inc(s(x)) -> s(inc(x))}
 Comment:
  We consider a duplicating trs.
  FAIL:
   Open