YES(?,O(n^2))
TRS:
 {
    activate X -> X,
  and(tt(), X) -> activate X,
  plus(N, 0()) -> N,
  plus(N, s M) -> s plus(N, M)
 }
 DUP: We consider a non-duplicating system.
  Trs:
   {
      activate X -> X,
    and(tt(), X) -> activate X,
    plus(N, 0()) -> N,
    plus(N, s M) -> s plus(N, M)
   }
  Matrix Interpretation:
   Interpretation class: triangular
       [X1]    [1 0][X1]   [2]
   [s]([X0]) = [0 1][X0] + [1]
   
         [2]
   [0] = [0]
   
          [X3]  [X1]    [1 2][X3]   [1 2][X1]   [0]
   [plus]([X2], [X0]) = [0 1][X2] + [0 1][X0] + [0]
   
          [1]
   [tt] = [0]
   
         [X3]  [X1]    [1 0][X3]   [1 2][X1]   [3]
   [and]([X2], [X0]) = [0 0][X2] + [0 1][X0] + [0]
   
              [X1]    [1 0][X1]   [3]
   [activate]([X0]) = [0 1][X0] + [0]
   
   
   Qed