8.30/2.43	YES
8.30/2.44	
8.30/2.44	Problem:
8.30/2.44	 b(b(a(b(x1)))) -> b(b(b(a(x1))))
8.30/2.44	 b(b(a(a(x1)))) -> a(a(b(b(x1))))
8.30/2.44	 b(a(a(a(x1)))) -> b(b(b(a(x1))))
8.30/2.44	
8.30/2.44	Proof:
8.30/2.44	 String Reversal Processor:
8.30/2.44	  b(a(b(b(x1)))) -> a(b(b(b(x1))))
8.30/2.44	  a(a(b(b(x1)))) -> b(b(a(a(x1))))
8.30/2.44	  a(a(a(b(x1)))) -> a(b(b(b(x1))))
8.30/2.44	  Matrix Interpretation Processor: dim=1
8.30/2.44	   
8.30/2.44	   interpretation:
8.30/2.44	    [a](x0) = x0 + 1,
8.30/2.44	    
8.30/2.44	    [b](x0) = x0
8.30/2.44	   orientation:
8.30/2.44	    b(a(b(b(x1)))) = x1 + 1 >= x1 + 1 = a(b(b(b(x1))))
8.30/2.44	    
8.30/2.44	    a(a(b(b(x1)))) = x1 + 2 >= x1 + 2 = b(b(a(a(x1))))
8.30/2.44	    
8.30/2.44	    a(a(a(b(x1)))) = x1 + 3 >= x1 + 1 = a(b(b(b(x1))))
8.30/2.44	   problem:
8.30/2.44	    b(a(b(b(x1)))) -> a(b(b(b(x1))))
8.30/2.44	    a(a(b(b(x1)))) -> b(b(a(a(x1))))
8.30/2.44	   String Reversal Processor:
8.30/2.44	    b(b(a(b(x1)))) -> b(b(b(a(x1))))
8.30/2.44	    b(b(a(a(x1)))) -> a(a(b(b(x1))))
8.30/2.44	    Matrix Interpretation Processor: dim=3
8.30/2.44	     
8.30/2.44	     interpretation:
8.30/2.44	                [1 0 0]  
8.30/2.44	      [a](x0) = [0 0 1]x0
8.30/2.44	                [0 1 0]  ,
8.30/2.44	      
8.30/2.44	                [1 0 1]     [0]
8.30/2.44	      [b](x0) = [0 1 1]x0 + [1]
8.30/2.44	                [0 0 0]     [0]
8.30/2.44	     orientation:
8.30/2.44	                       [1 1 2]     [1]    [1 1 0]     [0]                 
8.30/2.44	      b(b(a(b(x1)))) = [0 1 1]x1 + [3] >= [0 1 1]x1 + [3] = b(b(b(a(x1))))
8.30/2.44	                       [0 0 0]     [0]    [0 0 0]     [0]                 
8.30/2.44	      
8.30/2.44	                       [1 0 1]     [0]    [1 0 1]     [0]                 
8.30/2.44	      b(b(a(a(x1)))) = [0 1 1]x1 + [2] >= [0 1 1]x1 + [2] = a(a(b(b(x1))))
8.30/2.44	                       [0 0 0]     [0]    [0 0 0]     [0]                 
8.30/2.44	     problem:
8.30/2.44	      b(b(a(a(x1)))) -> a(a(b(b(x1))))
8.30/2.44	     String Reversal Processor:
8.30/2.44	      a(a(b(b(x1)))) -> b(b(a(a(x1))))
8.30/2.44	      KBO Processor:
8.30/2.44	       weight function:
8.30/2.44	        w0 = 1
8.30/2.44	        w(a) = w(b) = 1
8.30/2.44	       precedence:
8.30/2.44	        a > b
8.30/2.44	       problem:
8.30/2.44	        
8.30/2.44	       Qed
8.30/2.44	EOF