6.42/2.16	YES
6.42/2.16	
6.42/2.16	Problem:
6.42/2.16	 b(a(a(a(x1)))) -> a(a(b(a(x1))))
6.42/2.16	 b(a(b(b(x1)))) -> b(a(a(a(x1))))
6.42/2.16	 a(a(b(b(x1)))) -> a(b(b(a(x1))))
6.42/2.16	
6.42/2.16	Proof:
6.42/2.16	 Matrix Interpretation Processor: dim=1
6.42/2.16	  
6.42/2.16	  interpretation:
6.42/2.16	   [b](x0) = 2x0 + 3,
6.42/2.16	   
6.42/2.16	   [a](x0) = x0
6.42/2.16	  orientation:
6.42/2.16	   b(a(a(a(x1)))) = 2x1 + 3 >= 2x1 + 3 = a(a(b(a(x1))))
6.42/2.16	   
6.42/2.16	   b(a(b(b(x1)))) = 8x1 + 21 >= 2x1 + 3 = b(a(a(a(x1))))
6.42/2.16	   
6.42/2.16	   a(a(b(b(x1)))) = 4x1 + 9 >= 4x1 + 9 = a(b(b(a(x1))))
6.42/2.16	  problem:
6.42/2.16	   b(a(a(a(x1)))) -> a(a(b(a(x1))))
6.42/2.16	   a(a(b(b(x1)))) -> a(b(b(a(x1))))
6.42/2.16	  String Reversal Processor:
6.42/2.16	   a(a(a(b(x1)))) -> a(b(a(a(x1))))
6.42/2.16	   b(b(a(a(x1)))) -> a(b(b(a(x1))))
6.42/2.16	   Matrix Interpretation Processor: dim=3
6.42/2.16	    
6.42/2.16	    interpretation:
6.42/2.16	               [1 0 0]  
6.42/2.16	     [b](x0) = [0 0 1]x0
6.42/2.16	               [0 1 0]  ,
6.42/2.16	     
6.42/2.16	               [1 1 0]     [0]
6.42/2.16	     [a](x0) = [0 1 1]x0 + [1]
6.42/2.16	               [0 0 0]     [0]
6.42/2.16	    orientation:
6.42/2.16	                      [1 2 3]     [3]    [1 2 1]     [1]                 
6.42/2.16	     a(a(a(b(x1)))) = [0 1 1]x1 + [3] >= [0 1 1]x1 + [3] = a(b(a(a(x1))))
6.42/2.16	                      [0 0 0]     [0]    [0 0 0]     [0]                 
6.42/2.16	     
6.42/2.16	                      [1 2 1]     [1]    [1 2 1]     [1]                 
6.42/2.16	     b(b(a(a(x1)))) = [0 1 1]x1 + [2] >= [0 1 1]x1 + [2] = a(b(b(a(x1))))
6.42/2.16	                      [0 0 0]     [0]    [0 0 0]     [0]                 
6.42/2.16	    problem:
6.42/2.16	     b(b(a(a(x1)))) -> a(b(b(a(x1))))
6.42/2.16	    String Reversal Processor:
6.42/2.16	     a(a(b(b(x1)))) -> a(b(b(a(x1))))
6.42/2.16	     KBO Processor:
6.42/2.16	      weight function:
6.42/2.16	       w0 = 1
6.42/2.16	       w(b) = w(a) = 1
6.42/2.16	      precedence:
6.42/2.16	       a > b
6.42/2.16	      problem:
6.42/2.16	       
6.42/2.16	      Qed
6.42/2.17	EOF