6.49/2.18	YES
6.49/2.18	
6.49/2.18	Problem:
6.49/2.18	 a(b(b(a(x1)))) -> a(b(a(b(x1))))
6.49/2.18	 a(a(b(a(x1)))) -> a(b(b(a(x1))))
6.49/2.18	 a(a(b(b(x1)))) -> b(b(a(a(x1))))
6.49/2.18	
6.49/2.18	Proof:
6.49/2.18	 Matrix Interpretation Processor: dim=1
6.49/2.18	  
6.49/2.18	  interpretation:
6.49/2.18	   [b](x0) = x0,
6.49/2.18	   
6.49/2.18	   [a](x0) = 2x0 + 2
6.49/2.18	  orientation:
6.49/2.18	   a(b(b(a(x1)))) = 4x1 + 6 >= 4x1 + 6 = a(b(a(b(x1))))
6.49/2.18	   
6.49/2.18	   a(a(b(a(x1)))) = 8x1 + 14 >= 4x1 + 6 = a(b(b(a(x1))))
6.49/2.18	   
6.49/2.18	   a(a(b(b(x1)))) = 4x1 + 6 >= 4x1 + 6 = b(b(a(a(x1))))
6.49/2.18	  problem:
6.49/2.18	   a(b(b(a(x1)))) -> a(b(a(b(x1))))
6.49/2.18	   a(a(b(b(x1)))) -> b(b(a(a(x1))))
6.49/2.18	  String Reversal Processor:
6.49/2.18	   a(b(b(a(x1)))) -> b(a(b(a(x1))))
6.49/2.18	   b(b(a(a(x1)))) -> a(a(b(b(x1))))
6.49/2.18	   Matrix Interpretation Processor: dim=3
6.49/2.18	    
6.49/2.18	    interpretation:
6.49/2.18	               [1 0 0]  
6.49/2.18	     [b](x0) = [0 0 1]x0
6.49/2.18	               [0 1 0]  ,
6.49/2.18	     
6.49/2.18	               [1 0 1]     [0]
6.49/2.18	     [a](x0) = [0 0 1]x0 + [0]
6.49/2.18	               [0 0 1]     [1]
6.49/2.18	    orientation:
6.49/2.18	                      [1 0 2]     [1]    [1 0 2]     [0]                 
6.49/2.18	     a(b(b(a(x1)))) = [0 0 1]x1 + [1] >= [0 0 1]x1 + [1] = b(a(b(a(x1))))
6.49/2.18	                      [0 0 1]     [2]    [0 0 1]     [0]                 
6.49/2.18	     
6.49/2.18	                      [1 0 2]     [1]    [1 0 2]     [1]                 
6.49/2.18	     b(b(a(a(x1)))) = [0 0 1]x1 + [1] >= [0 0 1]x1 + [1] = a(a(b(b(x1))))
6.49/2.18	                      [0 0 1]     [2]    [0 0 1]     [2]                 
6.49/2.18	    problem:
6.49/2.18	     b(b(a(a(x1)))) -> a(a(b(b(x1))))
6.49/2.18	    KBO Processor:
6.49/2.18	     weight function:
6.49/2.18	      w0 = 1
6.49/2.18	      w(b) = w(a) = 1
6.49/2.18	     precedence:
6.49/2.18	      b > a
6.49/2.18	     problem:
6.49/2.18	      
6.49/2.18	     Qed
6.49/2.19	EOF