7.31/2.16	YES
7.31/2.16	
7.31/2.16	Problem:
7.31/2.16	 strict:
7.31/2.16	  b(b(x1)) -> c(d(x1))
7.31/2.16	  c(c(x1)) -> d(d(d(x1)))
7.31/2.16	  d(d(d(x1))) -> a(c(x1))
7.31/2.16	 weak:
7.31/2.16	  a(a(x1)) -> b(c(x1))
7.31/2.16	  b(c(x1)) -> a(a(x1))
7.31/2.16	
7.31/2.16	Proof:
7.31/2.16	 String Reversal Processor:
7.31/2.16	  strict:
7.31/2.16	   b(b(x1)) -> d(c(x1))
7.31/2.16	   c(c(x1)) -> d(d(d(x1)))
7.31/2.16	   d(d(d(x1))) -> c(a(x1))
7.31/2.16	  weak:
7.31/2.16	   a(a(x1)) -> c(b(x1))
7.31/2.16	   c(b(x1)) -> a(a(x1))
7.31/2.16	  Arctic Interpretation Processor:
7.31/2.16	   dimension: 1
7.31/2.16	   interpretation:
7.31/2.16	    [a](x0) = 9x0,
7.31/2.16	    
7.31/2.16	    [c](x0) = 9x0,
7.31/2.16	    
7.31/2.16	    [d](x0) = 6x0,
7.31/2.16	    
7.31/2.16	    [b](x0) = 9x0
7.31/2.16	   orientation:
7.31/2.16	    b(b(x1)) = 18x1 >= 15x1 = d(c(x1))
7.31/2.16	    
7.31/2.16	    c(c(x1)) = 18x1 >= 18x1 = d(d(d(x1)))
7.31/2.16	    
7.31/2.16	    d(d(d(x1))) = 18x1 >= 18x1 = c(a(x1))
7.31/2.16	    
7.31/2.16	    a(a(x1)) = 18x1 >= 18x1 = c(b(x1))
7.31/2.16	    
7.31/2.16	    c(b(x1)) = 18x1 >= 18x1 = a(a(x1))
7.31/2.16	   problem:
7.31/2.16	    strict:
7.31/2.16	     c(c(x1)) -> d(d(d(x1)))
7.31/2.16	     d(d(d(x1))) -> c(a(x1))
7.31/2.16	    weak:
7.31/2.16	     a(a(x1)) -> c(b(x1))
7.31/2.16	     c(b(x1)) -> a(a(x1))
7.31/2.16	   Arctic Interpretation Processor:
7.31/2.16	    dimension: 1
7.31/2.16	    interpretation:
7.31/2.16	     [a](x0) = 1x0,
7.31/2.16	     
7.31/2.16	     [c](x0) = 2x0,
7.31/2.16	     
7.31/2.16	     [d](x0) = 1x0,
7.31/2.16	     
7.31/2.16	     [b](x0) = x0
7.31/2.16	    orientation:
7.31/2.16	     c(c(x1)) = 4x1 >= 3x1 = d(d(d(x1)))
7.31/2.16	     
7.31/2.16	     d(d(d(x1))) = 3x1 >= 3x1 = c(a(x1))
7.31/2.16	     
7.31/2.16	     a(a(x1)) = 2x1 >= 2x1 = c(b(x1))
7.31/2.16	     
7.31/2.16	     c(b(x1)) = 2x1 >= 2x1 = a(a(x1))
7.31/2.16	    problem:
7.31/2.16	     strict:
7.31/2.16	      d(d(d(x1))) -> c(a(x1))
7.31/2.16	     weak:
7.31/2.16	      a(a(x1)) -> c(b(x1))
7.31/2.16	      c(b(x1)) -> a(a(x1))
7.31/2.16	    String Reversal Processor:
7.31/2.16	     strict:
7.31/2.16	      d(d(d(x1))) -> a(c(x1))
7.31/2.16	     weak:
7.31/2.16	      a(a(x1)) -> b(c(x1))
7.31/2.16	      b(c(x1)) -> a(a(x1))
7.31/2.16	     Arctic Interpretation Processor:
7.31/2.16	      dimension: 2
7.31/2.16	      interpretation:
7.31/2.16	                 [0  -&]  
7.31/2.16	       [a](x0) = [0  0 ]x0,
7.31/2.16	       
7.31/2.16	                 [0  -&]  
7.31/2.16	       [c](x0) = [0  0 ]x0,
7.31/2.16	       
7.31/2.16	                 [0  1 ]  
7.31/2.16	       [d](x0) = [0  -&]x0,
7.31/2.16	       
7.31/2.16	                 [0  -&]  
7.31/2.16	       [b](x0) = [0  0 ]x0
7.31/2.16	      orientation:
7.31/2.16	                     [1 2]      [0  -&]             
7.31/2.16	       d(d(d(x1))) = [1 1]x1 >= [0  0 ]x1 = a(c(x1))
7.31/2.16	       
7.31/2.16	                  [0  -&]      [0  -&]             
7.31/2.16	       a(a(x1)) = [0  0 ]x1 >= [0  0 ]x1 = b(c(x1))
7.31/2.16	       
7.31/2.16	                  [0  -&]      [0  -&]             
7.31/2.16	       b(c(x1)) = [0  0 ]x1 >= [0  0 ]x1 = a(a(x1))
7.31/2.16	      problem:
7.31/2.16	       strict:
7.31/2.16	        
7.31/2.16	       weak:
7.31/2.16	        a(a(x1)) -> b(c(x1))
7.31/2.16	        b(c(x1)) -> a(a(x1))
7.31/2.16	      Qed
7.31/2.17	EOF