5.34/1.73	YES
5.34/1.73	
5.34/1.73	Problem:
5.34/1.73	 a(a(b(a(x1)))) -> a(a(a(b(x1))))
5.34/1.73	 b(b(b(a(x1)))) -> a(a(a(b(x1))))
5.34/1.73	 b(a(a(b(x1)))) -> b(b(b(a(x1))))
5.34/1.73	
5.34/1.73	Proof:
5.34/1.73	 Matrix Interpretation Processor: dim=3
5.34/1.73	  
5.34/1.73	  interpretation:
5.34/1.73	             [1 0 0]     [1]
5.34/1.73	   [b](x0) = [0 0 1]x0 + [1]
5.34/1.73	             [0 0 0]     [0],
5.34/1.73	   
5.34/1.73	             [1 0 1]  
5.34/1.73	   [a](x0) = [0 0 0]x0
5.34/1.73	             [0 1 0]  
5.34/1.73	  orientation:
5.34/1.73	                    [1 1 1]     [2]    [1 0 1]     [2]                 
5.34/1.73	   a(a(b(a(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = a(a(a(b(x1))))
5.34/1.73	                    [0 0 0]     [0]    [0 0 0]     [0]                 
5.34/1.73	   
5.34/1.73	                    [1 0 1]     [3]    [1 0 1]     [2]                 
5.34/1.73	   b(b(b(a(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [0] = a(a(a(b(x1))))
5.34/1.73	                    [0 0 0]     [0]    [0 0 0]     [0]                 
5.34/1.73	   
5.34/1.73	                    [1 0 1]     [3]    [1 0 1]     [3]                 
5.34/1.73	   b(a(a(b(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(b(b(a(x1))))
5.34/1.73	                    [0 0 0]     [0]    [0 0 0]     [0]                 
5.34/1.73	  problem:
5.34/1.73	   a(a(b(a(x1)))) -> a(a(a(b(x1))))
5.34/1.73	   b(a(a(b(x1)))) -> b(b(b(a(x1))))
5.34/1.73	  KBO Processor:
5.34/1.73	   weight function:
5.34/1.73	    w0 = 1
5.34/1.73	    w(a) = 1
5.34/1.73	    w(b) = 0
5.34/1.73	   precedence:
5.34/1.73	    b > a
5.34/1.73	   problem:
5.34/1.73	    
5.34/1.73	   Qed
5.34/1.73	EOF