11.54/3.65	YES
11.54/3.65	
11.54/3.65	Problem:
11.54/3.65	 strict:
11.54/3.65	  b(b(c(x1))) -> a(a(b(x1)))
11.54/3.65	  b(b(a(x1))) -> c(b(b(x1)))
11.54/3.65	 weak:
11.54/3.65	  a(c(c(x1))) -> c(a(b(x1)))
11.54/3.65	  a(b(a(x1))) -> b(c(c(x1)))
11.54/3.65	  b(a(a(x1))) -> c(b(b(x1)))
11.54/3.65	
11.54/3.65	Proof:
11.54/3.65	 Matrix Interpretation Processor: dim=1
11.54/3.65	  
11.54/3.65	  interpretation:
11.54/3.65	   [a](x0) = 2x0 + 4,
11.54/3.65	   
11.54/3.65	   [b](x0) = 2x0,
11.54/3.65	   
11.54/3.65	   [c](x0) = 2x0 + 3
11.54/3.65	  orientation:
11.54/3.65	   b(b(c(x1))) = 8x1 + 12 >= 8x1 + 12 = a(a(b(x1)))
11.54/3.65	   
11.54/3.65	   b(b(a(x1))) = 8x1 + 16 >= 8x1 + 3 = c(b(b(x1)))
11.54/3.65	   
11.54/3.65	   a(c(c(x1))) = 8x1 + 22 >= 8x1 + 11 = c(a(b(x1)))
11.54/3.65	   
11.54/3.65	   a(b(a(x1))) = 8x1 + 20 >= 8x1 + 18 = b(c(c(x1)))
11.54/3.65	   
11.54/3.65	   b(a(a(x1))) = 8x1 + 24 >= 8x1 + 3 = c(b(b(x1)))
11.54/3.65	  problem:
11.54/3.65	   strict:
11.54/3.65	    b(b(c(x1))) -> a(a(b(x1)))
11.54/3.65	   weak:
11.54/3.65	    
11.54/3.65	  String Reversal Processor:
11.54/3.65	   strict:
11.54/3.65	    c(b(b(x1))) -> b(a(a(x1)))
11.54/3.65	   weak:
11.54/3.65	    
11.54/3.65	   Arctic Interpretation Processor:
11.54/3.65	    dimension: 2
11.54/3.65	    interpretation:
11.54/3.65	               [2 4]  
11.54/3.65	     [a](x0) = [0 0]x0,
11.54/3.65	     
11.54/3.65	               [0  -&]  
11.54/3.65	     [b](x0) = [2  7 ]x0,
11.54/3.65	     
11.54/3.65	               [5 0]  
11.54/3.65	     [c](x0) = [0 1]x0
11.54/3.65	    orientation:
11.54/3.65	                   [9  14]      [4  6 ]                
11.54/3.65	     c(b(b(x1))) = [10 15]x1 >= [9  11]x1 = b(a(a(x1)))
11.54/3.65	    problem:
11.54/3.65	     strict:
11.54/3.65	      
11.54/3.65	     weak:
11.54/3.65	      
11.54/3.65	    Qed
11.54/3.65	EOF