3.88/1.31	YES
3.88/1.31	
3.88/1.31	Problem:
3.88/1.31	 a(b(a(x1))) -> a(a(b(b(a(a(x1))))))
3.88/1.31	 b(a(a(b(x1)))) -> b(a(b(x1)))
3.88/1.31	
3.88/1.31	Proof:
3.88/1.31	 Matrix Interpretation Processor: dim=3
3.88/1.31	  
3.88/1.31	  interpretation:
3.88/1.31	             [1 0 0]  
3.88/1.31	   [b](x0) = [0 0 0]x0
3.88/1.31	             [0 1 0]  ,
3.88/1.31	   
3.88/1.31	             [1 0 1]     [0]
3.88/1.31	   [a](x0) = [0 0 0]x0 + [1]
3.88/1.31	             [0 0 0]     [0]
3.88/1.31	  orientation:
3.88/1.31	                 [1 0 1]     [1]    [1 0 1]     [0]                       
3.88/1.31	   a(b(a(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = a(a(b(b(a(a(x1))))))
3.88/1.31	                 [0 0 0]     [0]    [0 0 0]     [0]                       
3.88/1.31	   
3.88/1.31	                    [1 1 0]     [0]    [1 1 0]     [0]              
3.88/1.31	   b(a(a(b(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = b(a(b(x1)))
3.88/1.31	                    [0 0 0]     [1]    [0 0 0]     [1]              
3.88/1.31	  problem:
3.88/1.31	   b(a(a(b(x1)))) -> b(a(b(x1)))
3.88/1.31	  KBO Processor:
3.88/1.31	   weight function:
3.88/1.31	    w0 = 1
3.88/1.31	    w(a) = 1
3.88/1.31	    w(b) = 0
3.88/1.31	   precedence:
3.88/1.31	    b > a
3.88/1.31	   problem:
3.88/1.31	    
3.88/1.31	   Qed
3.88/1.31	EOF