YES
O(n^2)
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] = [1]
   
       [X1]    [1 1][X1]   [1]
   [s]([X0]) = [0 1][X0] + [0]
   
       [X5]  [X3]  [X1]    [1 0][X5]   [1 1][X3]   [1 0][X1]   [0]
   [p]([X4], [X2], [X0]) = [0 1][X4] + [0 1][X2] + [0 1][X0] + [0]
   
   
   Qed