2.38/1.02	YES
2.38/1.02	
2.38/1.02	Problem:
2.38/1.02	 a(a(x1)) -> b(b(b(x1)))
2.38/1.02	 b(b(b(b(b(x1))))) -> a(a(a(x1)))
2.38/1.02	
2.38/1.02	Proof:
2.38/1.02	 Matrix Interpretation Processor: dim=1
2.38/1.02	  
2.38/1.02	  interpretation:
2.38/1.02	   [b](x0) = x0 + 6,
2.38/1.02	   
2.38/1.02	   [a](x0) = x0 + 9
2.38/1.02	  orientation:
2.38/1.02	   a(a(x1)) = x1 + 18 >= x1 + 18 = b(b(b(x1)))
2.38/1.02	   
2.38/1.02	   b(b(b(b(b(x1))))) = x1 + 30 >= x1 + 27 = a(a(a(x1)))
2.38/1.02	  problem:
2.38/1.02	   a(a(x1)) -> b(b(b(x1)))
2.38/1.02	  KBO Processor:
2.38/1.02	   weight function:
2.38/1.02	    w0 = 1
2.38/1.02	    w(a) = 1
2.38/1.02	    w(b) = 0
2.38/1.02	   precedence:
2.38/1.02	    b > a
2.38/1.02	   problem:
2.38/1.02	    
2.38/1.02	   Qed
2.38/1.03	EOF