YES
TRS:
 {  p(m, n, s(r)) -> p(m, r, n),
  p(m, s(n), 0()) -> p(0(), n, m),
   p(m, 0(), 0()) -> m}
 RUF:
  Strict:
   {p(m, 0(), 0()) -> m}
  Weak:
   {}
  RUF:
   Strict:
    {}
   Weak:
    {}
   Qed