21.33/5.79	YES
21.33/5.79	
21.33/5.79	Problem:
21.33/5.79	 strict:
21.33/5.79	  b(b(b(x1))) -> c(a(c(x1)))
21.33/5.79	  a(a(c(x1))) -> a(b(a(x1)))
21.33/5.79	  a(a(c(x1))) -> c(b(c(x1)))
21.33/5.79	 weak:
21.33/5.79	  c(b(b(x1))) -> b(b(c(x1)))
21.33/5.79	  c(c(c(x1))) -> b(b(c(x1)))
21.33/5.79	  a(a(a(x1))) -> a(b(c(x1)))
21.33/5.79	
21.33/5.79	Proof:
21.33/5.79	 Arctic Interpretation Processor:
21.33/5.79	  dimension: 2
21.33/5.79	  interpretation:
21.33/5.79	             [0 2]  
21.33/5.79	   [a](x0) = [0 2]x0,
21.33/5.79	   
21.33/5.79	             [0  0 ]  
21.33/5.79	   [c](x0) = [-& -&]x0,
21.33/5.79	   
21.33/5.79	             [0  0 ]  
21.33/5.79	   [b](x0) = [-& -&]x0
21.33/5.79	  orientation:
21.33/5.79	                 [0  0 ]      [0  0 ]                
21.33/5.79	   b(b(b(x1))) = [-& -&]x1 >= [-& -&]x1 = c(a(c(x1)))
21.33/5.79	   
21.33/5.79	                 [2 2]      [0 2]                
21.33/5.79	   a(a(c(x1))) = [2 2]x1 >= [0 2]x1 = a(b(a(x1)))
21.33/5.79	   
21.33/5.79	                 [2 2]      [0  0 ]                
21.33/5.79	   a(a(c(x1))) = [2 2]x1 >= [-& -&]x1 = c(b(c(x1)))
21.33/5.79	   
21.33/5.79	                 [0  0 ]      [0  0 ]                
21.33/5.79	   c(b(b(x1))) = [-& -&]x1 >= [-& -&]x1 = b(b(c(x1)))
21.33/5.79	   
21.33/5.79	                 [0  0 ]      [0  0 ]                
21.33/5.79	   c(c(c(x1))) = [-& -&]x1 >= [-& -&]x1 = b(b(c(x1)))
21.33/5.79	   
21.33/5.79	                 [4 6]      [0 0]                
21.33/5.79	   a(a(a(x1))) = [4 6]x1 >= [0 0]x1 = a(b(c(x1)))
21.33/5.79	  problem:
21.33/5.79	   strict:
21.33/5.79	    b(b(b(x1))) -> c(a(c(x1)))
21.33/5.79	    a(a(c(x1))) -> a(b(a(x1)))
21.33/5.79	   weak:
21.33/5.79	    c(b(b(x1))) -> b(b(c(x1)))
21.33/5.79	    c(c(c(x1))) -> b(b(c(x1)))
21.33/5.79	  String Reversal Processor:
21.33/5.79	   strict:
21.33/5.79	    b(b(b(x1))) -> c(a(c(x1)))
21.33/5.79	    c(a(a(x1))) -> a(b(a(x1)))
21.33/5.79	   weak:
21.33/5.79	    b(b(c(x1))) -> c(b(b(x1)))
21.33/5.79	    c(c(c(x1))) -> c(b(b(x1)))
21.33/5.79	   Arctic Interpretation Processor:
21.33/5.79	    dimension: 1
21.33/5.79	    interpretation:
21.33/5.79	     [a](x0) = 1x0,
21.33/5.79	     
21.33/5.79	     [c](x0) = 8x0,
21.33/5.79	     
21.33/5.79	     [b](x0) = 6x0
21.33/5.79	    orientation:
21.33/5.79	     b(b(b(x1))) = 18x1 >= 17x1 = c(a(c(x1)))
21.33/5.79	     
21.33/5.79	     c(a(a(x1))) = 10x1 >= 8x1 = a(b(a(x1)))
21.33/5.79	     
21.33/5.79	     b(b(c(x1))) = 20x1 >= 20x1 = c(b(b(x1)))
21.33/5.79	     
21.33/5.79	     c(c(c(x1))) = 24x1 >= 20x1 = c(b(b(x1)))
21.33/5.79	    problem:
21.33/5.79	     strict:
21.33/5.79	      
21.33/5.79	     weak:
21.33/5.79	      b(b(c(x1))) -> c(b(b(x1)))
21.33/5.79	    Qed
21.33/5.80	EOF