YES
O(n^5)
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] = [0]
         [0]
         [1]
   
       [X4]    [1 0 0 0 1][X4]   [1]
       [X3]    [0 0 0 0 0][X3]   [0]
   [s]([X2]) = [0 0 0 0 0][X2] + [0]
       [X1]    [0 0 0 0 0][X1]   [0]
       [X0]    [0 0 0 0 1][X0]   [0]
   
       [X14]  [X9]  [X4]    [1 0 0 0 0][X14]   [1 0 0 0 1][X9]   [1 0 0 0 0][X4]   [0]
       [X13]  [X8]  [X3]    [0 1 0 0 0][X13]   [0 0 0 0 0][X8]   [0 0 0 0 0][X3]   [0]
   [p]([X12], [X7], [X2]) = [0 0 1 0 0][X12] + [0 0 0 0 0][X7] + [0 0 0 0 0][X2] + [0]
       [X11]  [X6]  [X1]    [0 0 0 1 0][X11]   [0 0 0 0 0][X6]   [0 0 0 0 0][X1]   [0]
       [X10]  [X5]  [X0]    [0 0 0 0 1][X10]   [0 0 0 0 1][X5]   [0 0 0 0 1][X0]   [0]
   
   
   Qed