YES(?,O(n^1))

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

Proof:
 Matrix Interpretation Processor:
  dimension: 1
  interpretation:
   [f](x0, x1) = x0 + x1 + 17,
   
   [g](x0, x1) = x0 + x1 + 23
  orientation:
   f(g(x,y),f(y,y)) = x + 3y + 57 >= x + 2y + 40 = f(g(y,x),y)
  problem:
   
  Qed