4.95/1.78	YES
4.95/1.79	
4.95/1.79	Problem:
4.95/1.79	 a(b(a(a(x1)))) -> a(a(b(a(x1))))
4.95/1.79	 b(b(a(a(x1)))) -> a(a(a(b(x1))))
4.95/1.79	 b(a(a(b(x1)))) -> b(b(b(a(x1))))
4.95/1.79	
4.95/1.79	Proof:
4.95/1.79	 Matrix Interpretation Processor: dim=3
4.95/1.79	  
4.95/1.79	  interpretation:
4.95/1.79	             [1 1 0]  
4.95/1.79	   [b](x0) = [0 0 1]x0
4.95/1.79	             [1 1 0]  ,
4.95/1.79	   
4.95/1.79	             [1 1 0]     [0]
4.95/1.79	   [a](x0) = [0 0 1]x0 + [1]
4.95/1.79	             [1 1 0]     [0]
4.95/1.79	  orientation:
4.95/1.79	                    [3 3 2]     [3]    [3 3 2]     [3]                 
4.95/1.79	   a(b(a(a(x1)))) = [2 2 1]x1 + [3] >= [2 2 1]x1 + [2] = a(a(b(a(x1))))
4.95/1.79	                    [3 3 2]     [3]    [3 3 2]     [3]                 
4.95/1.79	   
4.95/1.79	                    [3 3 2]     [3]    [3 3 2]     [2]                 
4.95/1.79	   b(b(a(a(x1)))) = [2 2 1]x1 + [2] >= [2 2 1]x1 + [2] = a(a(a(b(x1))))
4.95/1.79	                    [3 3 2]     [3]    [3 3 2]     [2]                 
4.95/1.79	   
4.95/1.79	                    [3 3 2]     [2]    [3 3 2]     [2]                 
4.95/1.79	   b(a(a(b(x1)))) = [2 2 1]x1 + [1] >= [2 2 1]x1 + [1] = b(b(b(a(x1))))
4.95/1.79	                    [3 3 2]     [2]    [3 3 2]     [2]                 
4.95/1.79	  problem:
4.95/1.79	   a(b(a(a(x1)))) -> a(a(b(a(x1))))
4.95/1.79	   b(a(a(b(x1)))) -> b(b(b(a(x1))))
4.95/1.79	  KBO Processor:
4.95/1.79	   weight function:
4.95/1.79	    w0 = 1
4.95/1.79	    w(a) = 1
4.95/1.79	    w(b) = 0
4.95/1.79	   precedence:
4.95/1.79	    b > a
4.95/1.79	   problem:
4.95/1.79	    
4.95/1.79	   Qed
4.95/1.79	EOF