5.13/1.78	YES
5.13/1.78	
5.13/1.78	Problem:
5.13/1.78	 a(a(a(b(x1)))) -> b(a(a(a(x1))))
5.13/1.78	 b(b(x1)) -> a(b(a(b(x1))))
5.13/1.78	
5.13/1.78	Proof:
5.13/1.78	 String Reversal Processor:
5.13/1.78	  b(a(a(a(x1)))) -> a(a(a(b(x1))))
5.13/1.78	  b(b(x1)) -> b(a(b(a(x1))))
5.13/1.78	  Matrix Interpretation Processor: dim=4
5.13/1.78	   
5.13/1.78	   interpretation:
5.13/1.78	              [1 0 0 0]  
5.13/1.78	              [0 0 1 0]  
5.13/1.78	    [a](x0) = [0 0 0 1]x0
5.13/1.78	              [0 1 0 0]  ,
5.13/1.78	    
5.13/1.78	              [1 0 1 0]     [0]
5.13/1.78	              [0 0 0 0]     [0]
5.13/1.78	    [b](x0) = [0 0 0 1]x0 + [1]
5.13/1.78	              [0 0 0 0]     [0]
5.13/1.78	   orientation:
5.13/1.78	                     [1 0 1 0]     [0]    [1 0 1 0]     [0]                 
5.13/1.78	                     [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
5.13/1.78	    b(a(a(a(x1)))) = [0 0 0 1]x1 + [1] >= [0 0 0 1]x1 + [1] = a(a(a(b(x1))))
5.13/1.78	                     [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
5.13/1.78	    
5.13/1.78	               [1 0 1 1]     [1]    [1 0 0 1]     [0]                 
5.13/1.78	               [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
5.13/1.78	    b(b(x1)) = [0 0 0 0]x1 + [1] >= [0 0 0 0]x1 + [1] = b(a(b(a(x1))))
5.13/1.78	               [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
5.13/1.78	   problem:
5.13/1.78	    b(a(a(a(x1)))) -> a(a(a(b(x1))))
5.13/1.78	   KBO Processor:
5.13/1.78	    weight function:
5.13/1.78	     w0 = 1
5.13/1.78	     w(a) = w(b) = 1
5.13/1.78	    precedence:
5.13/1.78	     b > a
5.13/1.78	    problem:
5.13/1.78	     
5.13/1.78	    Qed
5.13/1.79	EOF