6.90/2.32	YES
6.90/2.32	
6.90/2.32	Problem:
6.90/2.32	 b(b(a(a(x1)))) -> b(b(a(b(x1))))
6.90/2.32	 b(a(b(b(x1)))) -> a(a(a(a(x1))))
6.90/2.32	 b(a(b(b(x1)))) -> b(b(a(a(x1))))
6.90/2.32	
6.90/2.32	Proof:
6.90/2.32	 Matrix Interpretation Processor: dim=4
6.90/2.32	  
6.90/2.32	  interpretation:
6.90/2.32	             [1 0 1 0]     [0]
6.90/2.32	             [0 0 0 0]     [0]
6.90/2.32	   [b](x0) = [0 1 0 0]x0 + [1]
6.90/2.32	             [0 0 0 0]     [0],
6.90/2.32	   
6.90/2.32	             [1 0 0 0]  
6.90/2.32	             [0 0 0 1]  
6.90/2.32	   [a](x0) = [0 0 0 0]x0
6.90/2.32	             [0 0 1 0]  
6.90/2.32	  orientation:
6.90/2.32	                    [1 0 1 0]     [1]    [1 0 1 0]     [1]                 
6.90/2.32	                    [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
6.90/2.32	   b(b(a(a(x1)))) = [0 0 0 0]x1 + [1] >= [0 0 0 0]x1 + [1] = b(b(a(b(x1))))
6.90/2.32	                    [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
6.90/2.32	   
6.90/2.32	                    [1 1 1 0]     [1]    [1 0 0 0]                   
6.90/2.32	                    [0 0 0 0]     [0]    [0 0 0 0]                   
6.90/2.32	   b(a(b(b(x1)))) = [0 0 0 0]x1 + [1] >= [0 0 0 0]x1 = a(a(a(a(x1))))
6.90/2.32	                    [0 0 0 0]     [0]    [0 0 0 0]                   
6.90/2.32	   
6.90/2.32	                    [1 1 1 0]     [1]    [1 0 1 0]     [1]                 
6.90/2.32	                    [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
6.90/2.32	   b(a(b(b(x1)))) = [0 0 0 0]x1 + [1] >= [0 0 0 0]x1 + [1] = b(b(a(a(x1))))
6.90/2.32	                    [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
6.90/2.32	  problem:
6.90/2.32	   b(b(a(a(x1)))) -> b(b(a(b(x1))))
6.90/2.32	   b(a(b(b(x1)))) -> b(b(a(a(x1))))
6.90/2.32	  KBO Processor:
6.90/2.32	   weight function:
6.90/2.32	    w0 = 1
6.90/2.32	    w(b) = w(a) = 1
6.90/2.32	   precedence:
6.90/2.32	    a > b
6.90/2.32	   problem:
6.90/2.32	    
6.90/2.32	   Qed
6.90/2.33	EOF