12.30/3.48	YES
12.30/3.49	
12.30/3.49	Problem:
12.30/3.49	 strict:
12.30/3.49	  a(a(a(x1))) -> c(b(b(x1)))
12.30/3.49	  a(a(a(x1))) -> a(c(a(x1)))
12.30/3.49	  c(c(b(x1))) -> c(a(b(x1)))
12.30/3.49	 weak:
12.30/3.49	  b(c(a(x1))) -> c(b(a(x1)))
12.30/3.49	  a(c(c(x1))) -> a(b(c(x1)))
12.30/3.49	  a(b(a(x1))) -> b(a(a(x1)))
12.30/3.49	
12.30/3.49	Proof:
12.30/3.49	 String Reversal Processor:
12.30/3.49	  strict:
12.30/3.49	   a(a(a(x1))) -> b(b(c(x1)))
12.30/3.49	   a(a(a(x1))) -> a(c(a(x1)))
12.30/3.49	   b(c(c(x1))) -> b(a(c(x1)))
12.30/3.49	  weak:
12.30/3.49	   a(c(b(x1))) -> a(b(c(x1)))
12.30/3.49	   c(c(a(x1))) -> c(b(a(x1)))
12.30/3.49	   a(b(a(x1))) -> a(a(b(x1)))
12.30/3.49	  Arctic Interpretation Processor:
12.30/3.49	   dimension: 1
12.30/3.49	   interpretation:
12.30/3.49	    [c](x0) = 4x0,
12.30/3.49	    
12.30/3.49	    [b](x0) = x0,
12.30/3.49	    
12.30/3.49	    [a](x0) = 4x0
12.30/3.49	   orientation:
12.30/3.49	    a(a(a(x1))) = 12x1 >= 4x1 = b(b(c(x1)))
12.30/3.49	    
12.30/3.49	    a(a(a(x1))) = 12x1 >= 12x1 = a(c(a(x1)))
12.30/3.49	    
12.30/3.49	    b(c(c(x1))) = 8x1 >= 8x1 = b(a(c(x1)))
12.30/3.49	    
12.30/3.49	    a(c(b(x1))) = 8x1 >= 8x1 = a(b(c(x1)))
12.30/3.49	    
12.30/3.49	    c(c(a(x1))) = 12x1 >= 8x1 = c(b(a(x1)))
12.30/3.49	    
12.30/3.49	    a(b(a(x1))) = 8x1 >= 8x1 = a(a(b(x1)))
12.30/3.49	   problem:
12.30/3.49	    strict:
12.30/3.49	     a(a(a(x1))) -> a(c(a(x1)))
12.30/3.49	     b(c(c(x1))) -> b(a(c(x1)))
12.30/3.49	    weak:
12.30/3.49	     a(c(b(x1))) -> a(b(c(x1)))
12.30/3.49	     a(b(a(x1))) -> a(a(b(x1)))
12.30/3.49	   String Reversal Processor:
12.30/3.49	    strict:
12.30/3.49	     a(a(a(x1))) -> a(c(a(x1)))
12.30/3.49	     c(c(b(x1))) -> c(a(b(x1)))
12.30/3.49	    weak:
12.30/3.49	     b(c(a(x1))) -> c(b(a(x1)))
12.30/3.49	     a(b(a(x1))) -> b(a(a(x1)))
12.30/3.49	    Matrix Interpretation Processor: dim=2
12.30/3.49	     
12.30/3.49	     interpretation:
12.30/3.49	                [1 1]     [0]
12.30/3.49	      [c](x0) = [0 0]x0 + [2],
12.30/3.49	      
12.30/3.49	                [2 0]     [1]
12.30/3.49	      [b](x0) = [0 1]x0 + [0],
12.30/3.49	      
12.30/3.49	                [1 0]  
12.30/3.49	      [a](x0) = [0 0]x0
12.30/3.49	     orientation:
12.30/3.49	                    [1 0]      [1 0]                
12.30/3.49	      a(a(a(x1))) = [0 0]x1 >= [0 0]x1 = a(c(a(x1)))
12.30/3.49	      
12.30/3.49	                    [2 1]     [3]    [2 0]     [1]              
12.30/3.49	      c(c(b(x1))) = [0 0]x1 + [2] >= [0 0]x1 + [2] = c(a(b(x1)))
12.30/3.49	      
12.30/3.49	                    [2 0]     [1]    [2 0]     [1]              
12.30/3.49	      b(c(a(x1))) = [0 0]x1 + [2] >= [0 0]x1 + [2] = c(b(a(x1)))
12.30/3.49	      
12.30/3.49	                    [2 0]     [1]    [2 0]     [1]              
12.30/3.49	      a(b(a(x1))) = [0 0]x1 + [0] >= [0 0]x1 + [0] = b(a(a(x1)))
12.30/3.49	     problem:
12.30/3.49	      strict:
12.30/3.49	       a(a(a(x1))) -> a(c(a(x1)))
12.30/3.49	      weak:
12.30/3.49	       b(c(a(x1))) -> c(b(a(x1)))
12.30/3.49	       a(b(a(x1))) -> b(a(a(x1)))
12.30/3.49	     String Reversal Processor:
12.30/3.49	      strict:
12.30/3.49	       a(a(a(x1))) -> a(c(a(x1)))
12.30/3.49	      weak:
12.30/3.49	       a(c(b(x1))) -> a(b(c(x1)))
12.30/3.49	       a(b(a(x1))) -> a(a(b(x1)))
12.30/3.49	      Arctic Interpretation Processor:
12.30/3.49	       dimension: 1
12.30/3.49	       interpretation:
12.30/3.49	        [c](x0) = x0,
12.30/3.49	        
12.30/3.49	        [b](x0) = 4x0,
12.30/3.49	        
12.30/3.49	        [a](x0) = 2x0
12.30/3.49	       orientation:
12.30/3.49	        a(a(a(x1))) = 6x1 >= 4x1 = a(c(a(x1)))
12.30/3.49	        
12.30/3.49	        a(c(b(x1))) = 6x1 >= 6x1 = a(b(c(x1)))
12.30/3.49	        
12.30/3.49	        a(b(a(x1))) = 8x1 >= 8x1 = a(a(b(x1)))
12.30/3.49	       problem:
12.30/3.49	        strict:
12.30/3.49	         
12.30/3.49	        weak:
12.30/3.49	         a(c(b(x1))) -> a(b(c(x1)))
12.30/3.49	         a(b(a(x1))) -> a(a(b(x1)))
12.30/3.49	       Qed
12.30/3.49	EOF