YES

Problem:
 f(s(x),y) -> f(x,s(s(x)))
 f(x,s(s(y))) -> f(y,x)

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [f](x0, x1) = 7x0 + x1,
   
   [s](x0) = 3x0 + 4
  orientation:
   f(s(x),y) = 21x + y + 28 >= 16x + 16 = f(x,s(s(x)))
   
   f(x,s(s(y))) = 7x + 9y + 16 >= x + 7y = f(y,x)
  problem:
   
  Qed