6.85/2.09	YES
6.85/2.09	
6.85/2.09	Problem:
6.85/2.09	 b(a(b(b(x1)))) -> a(b(a(b(x1))))
6.85/2.09	 b(b(a(a(x1)))) -> a(b(a(b(x1))))
6.85/2.09	 b(a(a(b(x1)))) -> b(a(b(a(x1))))
6.85/2.09	
6.85/2.09	Proof:
6.85/2.09	 Matrix Interpretation Processor: dim=1
6.85/2.09	  
6.85/2.09	  interpretation:
6.85/2.09	   [a](x0) = x0,
6.85/2.09	   
6.85/2.09	   [b](x0) = x0 + 2
6.85/2.09	  orientation:
6.85/2.09	   b(a(b(b(x1)))) = x1 + 6 >= x1 + 4 = a(b(a(b(x1))))
6.85/2.09	   
6.85/2.09	   b(b(a(a(x1)))) = x1 + 4 >= x1 + 4 = a(b(a(b(x1))))
6.85/2.09	   
6.85/2.09	   b(a(a(b(x1)))) = x1 + 4 >= x1 + 4 = b(a(b(a(x1))))
6.85/2.09	  problem:
6.85/2.09	   b(b(a(a(x1)))) -> a(b(a(b(x1))))
6.85/2.09	   b(a(a(b(x1)))) -> b(a(b(a(x1))))
6.85/2.09	  String Reversal Processor:
6.85/2.09	   a(a(b(b(x1)))) -> b(a(b(a(x1))))
6.85/2.09	   b(a(a(b(x1)))) -> a(b(a(b(x1))))
6.85/2.09	   Matrix Interpretation Processor: dim=3
6.85/2.09	    
6.85/2.09	    interpretation:
6.85/2.09	               [1 0 1]     [0]
6.85/2.09	     [a](x0) = [0 0 1]x0 + [0]
6.85/2.09	               [0 0 1]     [1],
6.85/2.09	     
6.85/2.09	               [1 0 0]  
6.85/2.09	     [b](x0) = [0 0 1]x0
6.85/2.09	               [0 1 0]  
6.85/2.09	    orientation:
6.85/2.09	                      [1 0 2]     [1]    [1 0 2]     [0]                 
6.85/2.09	     a(a(b(b(x1)))) = [0 0 1]x1 + [1] >= [0 0 1]x1 + [1] = b(a(b(a(x1))))
6.85/2.09	                      [0 0 1]     [2]    [0 0 1]     [0]                 
6.85/2.09	     
6.85/2.09	                      [1 2 0]     [1]    [1 2 0]     [0]                 
6.85/2.09	     b(a(a(b(x1)))) = [0 1 0]x1 + [2] >= [0 1 0]x1 + [0] = a(b(a(b(x1))))
6.85/2.09	                      [0 1 0]     [1]    [0 1 0]     [1]                 
6.85/2.09	    problem:
6.85/2.09	     
6.85/2.09	    Qed
7.01/2.10	EOF