8.44/2.55	YES
8.44/2.55	
8.44/2.55	Problem:
8.44/2.55	 a(b(a(b(x1)))) -> a(b(b(b(x1))))
8.44/2.55	 b(b(a(b(x1)))) -> b(b(a(a(x1))))
8.44/2.55	 a(a(a(b(x1)))) -> b(a(a(a(x1))))
8.44/2.55	
8.44/2.55	Proof:
8.44/2.55	 Matrix Interpretation Processor: dim=4
8.44/2.55	  
8.44/2.55	  interpretation:
8.44/2.55	             [1 0 0 0]  
8.44/2.55	             [0 0 0 1]  
8.44/2.55	   [a](x0) = [0 1 0 0]x0
8.44/2.55	             [0 0 1 0]  ,
8.44/2.55	   
8.44/2.55	             [1 0 1 0]     [0]
8.44/2.55	             [0 0 0 1]     [1]
8.44/2.55	   [b](x0) = [0 0 0 0]x0 + [0]
8.44/2.55	             [0 0 0 0]     [0]
8.44/2.55	  orientation:
8.44/2.55	                    [1 0 1 1]     [1]    [1 0 1 0]     [0]                 
8.44/2.55	                    [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
8.44/2.55	   a(b(a(b(x1)))) = [0 0 0 0]x1 + [1] >= [0 0 0 0]x1 + [1] = a(b(b(b(x1))))
8.44/2.55	                    [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
8.44/2.55	   
8.44/2.55	                    [1 0 1 1]     [1]    [1 0 0 1]     [0]                 
8.44/2.55	                    [0 0 0 0]     [1]    [0 0 0 0]     [1]                 
8.44/2.55	   b(b(a(b(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 + [0] = b(b(a(a(x1))))
8.44/2.55	                    [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
8.44/2.55	   
8.44/2.55	                    [1 0 1 0]     [0]    [1 0 1 0]     [0]                 
8.44/2.55	                    [0 0 0 1]     [1]    [0 0 0 1]     [1]                 
8.44/2.55	   a(a(a(b(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 + [0] = b(a(a(a(x1))))
8.44/2.55	                    [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
8.44/2.55	  problem:
8.44/2.55	   a(a(a(b(x1)))) -> b(a(a(a(x1))))
8.44/2.55	  KBO Processor:
8.44/2.55	   weight function:
8.44/2.55	    w0 = 1
8.44/2.55	    w(a) = w(b) = 1
8.44/2.55	   precedence:
8.44/2.55	    a > b
8.44/2.55	   problem:
8.44/2.55	    
8.44/2.55	   Qed
8.44/2.56	EOF