9.60/2.89	YES
9.60/2.90	
9.60/2.90	Problem:
9.60/2.90	 b(b(a(a(x1)))) -> a(b(a(a(x1))))
9.60/2.90	 b(a(a(a(x1)))) -> a(a(b(a(x1))))
9.60/2.90	 a(a(a(a(x1)))) -> b(a(b(a(x1))))
9.60/2.90	
9.60/2.90	Proof:
9.60/2.90	 Matrix Interpretation Processor: dim=4
9.60/2.90	  
9.60/2.90	  interpretation:
9.60/2.90	             [1 1 0 0]     [0]
9.60/2.90	             [0 0 0 1]     [1]
9.60/2.90	   [b](x0) = [0 0 0 1]x0 + [1]
9.60/2.90	             [1 0 0 0]     [0],
9.60/2.90	   
9.60/2.90	             [1 0 1 0]     [0]
9.60/2.90	             [0 0 0 1]     [0]
9.60/2.90	   [a](x0) = [0 0 0 1]x0 + [1]
9.60/2.90	             [1 0 0 0]     [0]
9.60/2.90	  orientation:
9.60/2.90	                    [3 0 2 1]     [2]    [3 0 2 1]     [2]                 
9.60/2.90	                    [1 0 1 1]     [2]    [1 0 1 1]     [1]                 
9.60/2.90	   b(b(a(a(x1)))) = [1 0 1 1]x1 + [2] >= [1 0 1 1]x1 + [2] = a(b(a(a(x1))))
9.60/2.90	                    [2 0 1 1]     [1]    [2 0 1 1]     [1]                 
9.60/2.90	   
9.60/2.90	                    [3 0 2 1]     [2]    [3 0 2 1]     [2]                 
9.60/2.90	                    [1 0 1 1]     [2]    [1 0 1 1]     [0]                 
9.60/2.90	   b(a(a(a(x1)))) = [1 0 1 1]x1 + [2] >= [1 0 1 1]x1 + [1] = a(a(b(a(x1))))
9.60/2.90	                    [2 0 1 1]     [2]    [2 0 1 1]     [1]                 
9.60/2.90	   
9.60/2.90	                    [3 0 2 1]     [3]    [3 0 2 1]     [1]                 
9.60/2.90	                    [1 0 1 1]     [1]    [1 0 1 1]     [1]                 
9.60/2.90	   a(a(a(a(x1)))) = [1 0 1 1]x1 + [2] >= [1 0 1 1]x1 + [1] = b(a(b(a(x1))))
9.60/2.90	                    [2 0 1 1]     [2]    [2 0 1 1]     [1]                 
9.60/2.90	  problem:
9.60/2.90	   b(b(a(a(x1)))) -> a(b(a(a(x1))))
9.60/2.90	   b(a(a(a(x1)))) -> a(a(b(a(x1))))
9.60/2.90	  KBO Processor:
9.60/2.90	   weight function:
9.60/2.90	    w0 = 1
9.60/2.90	    w(b) = w(a) = 1
9.60/2.90	   precedence:
9.60/2.90	    b > a
9.60/2.90	   problem:
9.60/2.90	    
9.60/2.90	   Qed
9.60/2.90	EOF