YES

Problem:
 f(f(a())) -> f(g())

Proof:
 Matrix Interpretation Processor: dim=3
  
  interpretation:
         [0]
   [g] = [0]
         [0],
   
             [1 0 1]  
   [f](x0) = [0 0 0]x0
             [0 0 0]  ,
   
         [0]
   [a] = [0]
         [1]
  orientation:
               [1]    [0]         
   f(f(a())) = [0] >= [0] = f(g())
               [0]    [0]         
  problem:
   
  Qed