YES
O(n^3)
TRS:
 {
    p(m, n, s(r)) -> p(m, r, n),
  p(m, s(n), 0()) -> p(0(), n, m),
   p(m, 0(), 0()) -> m
 }
 DUP: We consider a non-duplicating system.
  Trs:
   {
      p(m, n, s(r)) -> p(m, r, n),
    p(m, s(n), 0()) -> p(0(), n, m),
     p(m, 0(), 0()) -> m
   }
  Matrix Interpretation:
   Interpretation class: triangular
         [0]
   [0] = [0]
         [1]
   
       [X2]    [1 0 1][X2]   [1]
   [s]([X1]) = [0 1 0][X1] + [0]
       [X0]    [0 0 1][X0]   [1]
   
       [X8]  [X5]  [X2]    [1 0 0][X8]   [1 0 1][X5]   [1 0 0][X2]   [0]
   [p]([X7], [X4], [X1]) = [0 1 0][X7] + [0 1 0][X4] + [0 1 0][X1] + [0]
       [X6]  [X3]  [X0]    [0 0 1][X6]   [0 0 1][X3]   [0 0 1][X0]   [0]
   
   
   Qed