5.81/1.81	YES
5.81/1.82	
5.81/1.82	Problem:
5.81/1.82	 b(b(b(b(x1)))) -> b(b(a(a(x1))))
5.81/1.82	 b(b(a(a(x1)))) -> a(b(a(b(x1))))
5.81/1.82	 a(b(a(a(x1)))) -> a(b(a(b(x1))))
5.81/1.82	
5.81/1.82	Proof:
5.81/1.82	 String Reversal Processor:
5.81/1.82	  b(b(b(b(x1)))) -> a(a(b(b(x1))))
5.81/1.82	  a(a(b(b(x1)))) -> b(a(b(a(x1))))
5.81/1.82	  a(a(b(a(x1)))) -> b(a(b(a(x1))))
5.81/1.82	  Matrix Interpretation Processor: dim=4
5.81/1.82	   
5.81/1.82	   interpretation:
5.81/1.82	              [1 0 0 0]  
5.81/1.82	              [0 0 1 0]  
5.81/1.82	    [a](x0) = [0 1 0 0]x0
5.81/1.82	              [0 0 0 0]  ,
5.81/1.82	    
5.81/1.82	              [1 0 0 1]     [0]
5.81/1.82	              [0 0 0 0]     [1]
5.81/1.82	    [b](x0) = [0 0 0 0]x0 + [0]
5.81/1.82	              [0 1 0 0]     [0]
5.81/1.82	   orientation:
5.81/1.82	                     [1 1 0 1]     [2]    [1 1 0 1]     [0]                 
5.81/1.82	                     [0 0 0 0]     [1]    [0 0 0 0]     [1]                 
5.81/1.82	    b(b(b(b(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 + [0] = a(a(b(b(x1))))
5.81/1.82	                     [0 0 0 0]     [1]    [0 0 0 0]     [0]                 
5.81/1.82	    
5.81/1.82	                     [1 1 0 1]     [0]    [1 0 0 0]     [0]                 
5.81/1.82	                     [0 0 0 0]     [1]    [0 0 0 0]     [1]                 
5.81/1.82	    a(a(b(b(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 + [0] = b(a(b(a(x1))))
5.81/1.82	                     [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
5.81/1.82	    
5.81/1.82	                     [1 0 0 0]     [0]    [1 0 0 0]     [0]                 
5.81/1.82	                     [0 0 0 0]     [1]    [0 0 0 0]     [1]                 
5.81/1.82	    a(a(b(a(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 + [0] = b(a(b(a(x1))))
5.81/1.82	                     [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
5.81/1.82	   problem:
5.81/1.82	    a(a(b(b(x1)))) -> b(a(b(a(x1))))
5.81/1.82	    a(a(b(a(x1)))) -> b(a(b(a(x1))))
5.81/1.82	   KBO Processor:
5.81/1.82	    weight function:
5.81/1.82	     w0 = 1
5.81/1.82	     w(a) = w(b) = 1
5.81/1.82	    precedence:
5.81/1.82	     a > b
5.81/1.82	    problem:
5.81/1.82	     
5.81/1.82	    Qed
5.81/1.82	EOF