6.52/2.01	YES
6.52/2.01	
6.52/2.01	Problem:
6.52/2.01	 a(b(a(a(x1)))) -> a(b(b(b(x1))))
6.52/2.01	 b(b(a(a(x1)))) -> a(b(a(b(x1))))
6.52/2.01	 b(a(a(b(x1)))) -> b(a(b(a(x1))))
6.52/2.01	
6.52/2.01	Proof:
6.52/2.01	 Matrix Interpretation Processor: dim=1
6.52/2.01	  
6.52/2.01	  interpretation:
6.52/2.01	   [b](x0) = x0,
6.52/2.01	   
6.52/2.01	   [a](x0) = 2x0 + 2
6.52/2.01	  orientation:
6.52/2.01	   a(b(a(a(x1)))) = 8x1 + 14 >= 2x1 + 2 = a(b(b(b(x1))))
6.52/2.01	   
6.52/2.01	   b(b(a(a(x1)))) = 4x1 + 6 >= 4x1 + 6 = a(b(a(b(x1))))
6.52/2.01	   
6.52/2.01	   b(a(a(b(x1)))) = 4x1 + 6 >= 4x1 + 6 = b(a(b(a(x1))))
6.52/2.01	  problem:
6.52/2.01	   b(b(a(a(x1)))) -> a(b(a(b(x1))))
6.52/2.01	   b(a(a(b(x1)))) -> b(a(b(a(x1))))
6.52/2.01	  String Reversal Processor:
6.52/2.01	   a(a(b(b(x1)))) -> b(a(b(a(x1))))
6.52/2.01	   b(a(a(b(x1)))) -> a(b(a(b(x1))))
6.52/2.01	   Matrix Interpretation Processor: dim=3
6.52/2.01	    
6.52/2.01	    interpretation:
6.52/2.01	               [1 0 0]  
6.52/2.01	     [b](x0) = [0 0 1]x0
6.52/2.01	               [0 1 0]  ,
6.52/2.01	     
6.52/2.01	               [1 0 1]     [0]
6.52/2.01	     [a](x0) = [0 0 1]x0 + [0]
6.52/2.01	               [0 0 1]     [1]
6.52/2.01	    orientation:
6.52/2.01	                      [1 0 2]     [1]    [1 0 2]     [0]                 
6.52/2.01	     a(a(b(b(x1)))) = [0 0 1]x1 + [1] >= [0 0 1]x1 + [1] = b(a(b(a(x1))))
6.52/2.01	                      [0 0 1]     [2]    [0 0 1]     [0]                 
6.52/2.01	     
6.52/2.01	                      [1 2 0]     [1]    [1 2 0]     [0]                 
6.52/2.01	     b(a(a(b(x1)))) = [0 1 0]x1 + [2] >= [0 1 0]x1 + [0] = a(b(a(b(x1))))
6.52/2.01	                      [0 1 0]     [1]    [0 1 0]     [1]                 
6.52/2.01	    problem:
6.52/2.01	     
6.52/2.01	    Qed
6.52/2.02	EOF