24.99/6.70	YES
24.99/6.71	
24.99/6.71	Problem:
24.99/6.71	 strict:
24.99/6.71	  a(a(c(x1))) -> c(c(c(x1)))
24.99/6.71	  a(c(b(x1))) -> a(a(c(x1)))
24.99/6.71	  b(c(a(x1))) -> b(a(b(x1)))
24.99/6.71	  a(b(c(x1))) -> b(a(c(x1)))
24.99/6.71	 weak:
24.99/6.71	  b(c(b(x1))) -> a(b(c(x1)))
24.99/6.71	  a(c(b(x1))) -> c(c(b(x1)))
24.99/6.71	
24.99/6.71	Proof:
24.99/6.71	 Arctic Interpretation Processor:
24.99/6.71	  dimension: 2
24.99/6.71	  interpretation:
24.99/6.71	             [0  -&]  
24.99/6.71	   [b](x0) = [1  1 ]x0,
24.99/6.71	   
24.99/6.71	             [0 0]  
24.99/6.71	   [a](x0) = [0 0]x0,
24.99/6.71	   
24.99/6.71	             [0  7 ]  
24.99/6.71	   [c](x0) = [-& -&]x0
24.99/6.71	  orientation:
24.99/6.71	                 [0 7]      [0  7 ]                
24.99/6.71	   a(a(c(x1))) = [0 7]x1 >= [-& -&]x1 = c(c(c(x1)))
24.99/6.71	   
24.99/6.71	                 [8 8]      [0 7]                
24.99/6.71	   a(c(b(x1))) = [8 8]x1 >= [0 7]x1 = a(a(c(x1)))
24.99/6.71	   
24.99/6.71	                 [7 7]      [1 1]                
24.99/6.71	   b(c(a(x1))) = [8 8]x1 >= [2 2]x1 = b(a(b(x1)))
24.99/6.71	   
24.99/6.71	                 [1 8]      [0 7]                
24.99/6.71	   a(b(c(x1))) = [1 8]x1 >= [1 8]x1 = b(a(c(x1)))
24.99/6.71	   
24.99/6.71	                 [8 8]      [1 8]                
24.99/6.71	   b(c(b(x1))) = [9 9]x1 >= [1 8]x1 = a(b(c(x1)))
24.99/6.71	   
24.99/6.71	                 [8 8]      [8  8 ]                
24.99/6.71	   a(c(b(x1))) = [8 8]x1 >= [-& -&]x1 = c(c(b(x1)))
24.99/6.71	  problem:
24.99/6.71	   strict:
24.99/6.71	    a(a(c(x1))) -> c(c(c(x1)))
24.99/6.71	    a(b(c(x1))) -> b(a(c(x1)))
24.99/6.71	   weak:
24.99/6.71	    b(c(b(x1))) -> a(b(c(x1)))
24.99/6.71	    a(c(b(x1))) -> c(c(b(x1)))
24.99/6.71	  String Reversal Processor:
24.99/6.71	   strict:
24.99/6.71	    c(a(a(x1))) -> c(c(c(x1)))
24.99/6.71	    c(b(a(x1))) -> c(a(b(x1)))
24.99/6.71	   weak:
24.99/6.71	    b(c(b(x1))) -> c(b(a(x1)))
24.99/6.71	    b(c(a(x1))) -> b(c(c(x1)))
24.99/6.71	   Arctic Interpretation Processor:
24.99/6.71	    dimension: 1
24.99/6.71	    interpretation:
24.99/6.71	     [b](x0) = 4x0,
24.99/6.71	     
24.99/6.71	     [a](x0) = 4x0,
24.99/6.71	     
24.99/6.71	     [c](x0) = x0
24.99/6.71	    orientation:
24.99/6.71	     c(a(a(x1))) = 8x1 >= x1 = c(c(c(x1)))
24.99/6.71	     
24.99/6.71	     c(b(a(x1))) = 8x1 >= 8x1 = c(a(b(x1)))
24.99/6.71	     
24.99/6.71	     b(c(b(x1))) = 8x1 >= 8x1 = c(b(a(x1)))
24.99/6.71	     
24.99/6.71	     b(c(a(x1))) = 8x1 >= 4x1 = b(c(c(x1)))
24.99/6.71	    problem:
24.99/6.71	     strict:
24.99/6.71	      c(b(a(x1))) -> c(a(b(x1)))
24.99/6.71	     weak:
24.99/6.71	      b(c(b(x1))) -> c(b(a(x1)))
24.99/6.71	    Arctic Interpretation Processor:
24.99/6.71	     dimension: 1
24.99/6.71	     interpretation:
24.99/6.71	      [b](x0) = 1x0,
24.99/6.71	      
24.99/6.71	      [a](x0) = x0,
24.99/6.71	      
24.99/6.71	      [c](x0) = 1x0
24.99/6.71	     orientation:
24.99/6.71	      c(b(a(x1))) = 2x1 >= 2x1 = c(a(b(x1)))
24.99/6.71	      
24.99/6.71	      b(c(b(x1))) = 3x1 >= 2x1 = c(b(a(x1)))
24.99/6.71	     problem:
24.99/6.71	      strict:
24.99/6.71	       c(b(a(x1))) -> c(a(b(x1)))
24.99/6.71	      weak:
24.99/6.71	       
24.99/6.71	     String Reversal Processor:
24.99/6.71	      strict:
24.99/6.71	       a(b(c(x1))) -> b(a(c(x1)))
24.99/6.71	      weak:
24.99/6.71	       
24.99/6.71	      Arctic Interpretation Processor:
24.99/6.71	       dimension: 2
24.99/6.71	       interpretation:
24.99/6.71	                  [2  3 ]  
24.99/6.71	        [b](x0) = [-& 4 ]x0,
24.99/6.71	        
24.99/6.71	                  [6 4]  
24.99/6.71	        [a](x0) = [4 0]x0,
24.99/6.71	        
24.99/6.71	                  [0 0]  
24.99/6.71	        [c](x0) = [2 2]x0
24.99/6.71	       orientation:
24.99/6.71	                      [11 11]      [8 8]                
24.99/6.71	        a(b(c(x1))) = [9  9 ]x1 >= [8 8]x1 = b(a(c(x1)))
24.99/6.71	       problem:
24.99/6.71	        strict:
24.99/6.71	         
24.99/6.71	        weak:
24.99/6.71	         
24.99/6.71	       Qed
24.99/6.71	EOF