YES
O(n^5)
TRS:
 {f(a()) -> g(a()),
     b() -> a(),
  g(b()) -> f(b())}
 DUP: We consider a non-duplicating system.
  Trs:
   {f(a()) -> g(a()),
       b() -> a(),
    g(b()) -> f(b())}
  Matrix Interpretation:
   Interpretation class: triangular
         [0]
         [0]
   [a] = [0]
         [0]
         [0]
   
       [X4]    [1 0 0 1 1][X4]   [0]
       [X3]    [0 0 0 0 1][X3]   [0]
   [g]([X2]) = [0 0 0 0 0][X2] + [0]
       [X1]    [0 0 0 0 0][X1]   [0]
       [X0]    [0 0 0 0 0][X0]   [0]
   
         [1]
         [0]
   [b] = [0]
         [1]
         [1]
   
       [X4]    [1 0 0 0 0][X4]   [1]
       [X3]    [0 0 0 0 0][X3]   [1]
   [f]([X2]) = [0 0 0 0 0][X2] + [0]
       [X1]    [0 0 0 0 0][X1]   [0]
       [X0]    [0 0 0 0 0][X0]   [0]
   
   
   Qed