YES

Problem:
 H(H(x)) -> K(x)

Proof:
 Arctic Interpretation Processor:
  dimension: 2
  interpretation:
             [0  -&]  
   [K](x0) = [-& -&]x0,
   
             [0 1]  
   [H](x0) = [0 0]x0
  orientation:
             [1 1]     [0  -&]        
   H(H(x)) = [0 1]x >= [-& -&]x = K(x)
  problem:
   
  Qed