6.71/2.12	YES
7.17/2.12	
7.17/2.12	Problem:
7.17/2.12	 a(a(a(b(x1)))) -> b(a(a(a(x1))))
7.17/2.12	 b(a(b(a(x1)))) -> a(b(b(a(x1))))
7.17/2.12	
7.17/2.12	Proof:
7.17/2.12	 String Reversal Processor:
7.17/2.12	  b(a(a(a(x1)))) -> a(a(a(b(x1))))
7.17/2.12	  a(b(a(b(x1)))) -> a(b(b(a(x1))))
7.17/2.12	  Matrix Interpretation Processor: dim=4
7.17/2.12	   
7.17/2.12	   interpretation:
7.17/2.12	              [1 0 0 0]  
7.17/2.12	              [0 0 1 0]  
7.17/2.12	    [a](x0) = [0 0 0 1]x0
7.17/2.12	              [0 1 0 0]  ,
7.17/2.12	    
7.17/2.12	              [1 0 0 1]     [0]
7.17/2.12	              [0 1 0 1]     [1]
7.17/2.12	    [b](x0) = [0 0 1 1]x0 + [1]
7.17/2.12	              [0 0 0 0]     [0]
7.17/2.12	   orientation:
7.17/2.12	                     [1 0 0 1]     [0]    [1 0 0 1]     [0]                 
7.17/2.12	                     [0 1 0 1]     [1]    [0 1 0 1]     [1]                 
7.17/2.12	    b(a(a(a(x1)))) = [0 0 1 1]x1 + [1] >= [0 0 1 1]x1 + [1] = a(a(a(b(x1))))
7.17/2.12	                     [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
7.17/2.12	    
7.17/2.12	                     [1 1 0 2]     [1]    [1 1 0 0]     [0]                 
7.17/2.12	                     [0 1 0 1]     [2]    [0 1 0 1]     [2]                 
7.17/2.12	    a(b(a(b(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 + [0] = a(b(b(a(x1))))
7.17/2.12	                     [0 1 1 2]     [3]    [0 1 1 0]     [2]                 
7.17/2.12	   problem:
7.17/2.12	    b(a(a(a(x1)))) -> a(a(a(b(x1))))
7.17/2.12	   KBO Processor:
7.17/2.12	    weight function:
7.17/2.12	     w0 = 1
7.17/2.12	     w(a) = w(b) = 1
7.17/2.12	    precedence:
7.17/2.12	     b > a
7.17/2.12	    problem:
7.17/2.12	     
7.17/2.12	    Qed
7.17/2.12	EOF