5.97/1.88	YES
5.97/1.88	
5.97/1.88	Problem:
5.97/1.88	 b(a(a(a(x1)))) -> a(b(b(b(x1))))
5.97/1.88	 b(a(a(a(x1)))) -> b(b(b(a(x1))))
5.97/1.88	 a(b(b(a(x1)))) -> a(a(a(a(x1))))
5.97/1.88	
5.97/1.88	Proof:
5.97/1.88	 Matrix Interpretation Processor: dim=2
5.97/1.88	  
5.97/1.88	  interpretation:
5.97/1.88	             [1 0]     [0]
5.97/1.88	   [b](x0) = [0 0]x0 + [2],
5.97/1.88	   
5.97/1.88	             [1 1]     [1]
5.97/1.88	   [a](x0) = [0 0]x0 + [0]
5.97/1.88	  orientation:
5.97/1.88	                    [1 1]     [3]    [1 0]     [3]                 
5.97/1.88	   b(a(a(a(x1)))) = [0 0]x1 + [2] >= [0 0]x1 + [0] = a(b(b(b(x1))))
5.97/1.88	   
5.97/1.88	                    [1 1]     [3]    [1 1]     [1]                 
5.97/1.88	   b(a(a(a(x1)))) = [0 0]x1 + [2] >= [0 0]x1 + [2] = b(b(b(a(x1))))
5.97/1.88	   
5.97/1.88	                    [1 1]     [4]    [1 1]     [4]                 
5.97/1.88	   a(b(b(a(x1)))) = [0 0]x1 + [0] >= [0 0]x1 + [0] = a(a(a(a(x1))))
5.97/1.88	  problem:
5.97/1.88	   b(a(a(a(x1)))) -> a(b(b(b(x1))))
5.97/1.88	   a(b(b(a(x1)))) -> a(a(a(a(x1))))
5.97/1.88	  KBO Processor:
5.97/1.88	   weight function:
5.97/1.88	    w0 = 1
5.97/1.88	    w(b) = w(a) = 1
5.97/1.88	   precedence:
5.97/1.88	    b > a
5.97/1.88	   problem:
5.97/1.88	    
5.97/1.88	   Qed
5.97/1.88	EOF