8.31/2.48	YES
8.31/2.49	
8.31/2.49	Problem:
8.31/2.49	 b(b(a(a(x1)))) -> a(b(a(a(x1))))
8.31/2.49	 a(a(b(a(x1)))) -> b(b(a(a(x1))))
8.31/2.49	 a(a(b(a(x1)))) -> b(b(b(b(x1))))
8.31/2.49	
8.31/2.49	Proof:
8.31/2.49	 String Reversal Processor:
8.31/2.49	  a(a(b(b(x1)))) -> a(a(b(a(x1))))
8.31/2.49	  a(b(a(a(x1)))) -> a(a(b(b(x1))))
8.31/2.49	  a(b(a(a(x1)))) -> b(b(b(b(x1))))
8.31/2.49	  Matrix Interpretation Processor: dim=4
8.31/2.49	   
8.31/2.49	   interpretation:
8.31/2.49	              [1 0 0 0]  
8.31/2.49	              [0 0 0 0]  
8.31/2.49	    [b](x0) = [0 0 0 1]x0
8.31/2.49	              [0 1 0 0]  ,
8.31/2.49	    
8.31/2.49	              [1 1 0 0]     [0]
8.31/2.49	              [0 0 1 0]     [1]
8.31/2.49	    [a](x0) = [0 0 0 0]x0 + [0]
8.31/2.49	              [0 0 0 0]     [0]
8.31/2.49	   orientation:
8.31/2.49	                     [1 1 0 0]     [1]    [1 1 0 0]     [1]                 
8.31/2.49	                     [0 0 0 0]     [1]    [0 0 0 0]     [1]                 
8.31/2.49	    a(a(b(b(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 + [0] = a(a(b(a(x1))))
8.31/2.49	                     [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
8.31/2.49	    
8.31/2.49	                     [1 1 1 0]     [1]    [1 1 0 0]     [1]                 
8.31/2.49	                     [0 0 0 0]     [1]    [0 0 0 0]     [1]                 
8.31/2.49	    a(b(a(a(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 + [0] = a(a(b(b(x1))))
8.31/2.49	                     [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
8.31/2.49	    
8.31/2.49	                     [1 1 1 0]     [1]    [1 0 0 0]                   
8.31/2.49	                     [0 0 0 0]     [1]    [0 0 0 0]                   
8.31/2.49	    a(b(a(a(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = b(b(b(b(x1))))
8.31/2.49	                     [0 0 0 0]     [0]    [0 0 0 0]                   
8.31/2.49	   problem:
8.31/2.49	    a(a(b(b(x1)))) -> a(a(b(a(x1))))
8.31/2.49	    a(b(a(a(x1)))) -> a(a(b(b(x1))))
8.31/2.49	   KBO Processor:
8.31/2.49	    weight function:
8.31/2.49	     w0 = 1
8.31/2.49	     w(b) = w(a) = 1
8.31/2.49	    precedence:
8.31/2.49	     b > a
8.31/2.49	    problem:
8.31/2.49	     
8.31/2.49	    Qed
8.31/2.49	EOF