12.06/3.39	YES
12.06/3.39	
12.06/3.39	Problem:
12.06/3.39	 strict:
12.06/3.39	  a(c(a(x1))) -> c(b(b(x1)))
12.06/3.39	  a(a(b(x1))) -> b(c(c(x1)))
12.06/3.39	  a(c(a(x1))) -> a(b(b(x1)))
12.06/3.39	 weak:
12.06/3.39	  c(a(a(x1))) -> a(c(c(x1)))
12.06/3.39	  c(a(a(x1))) -> b(b(b(x1)))
12.06/3.39	  c(b(c(x1))) -> a(c(a(x1)))
12.06/3.39	
12.06/3.39	Proof:
12.06/3.39	 String Reversal Processor:
12.06/3.39	  strict:
12.06/3.39	   a(c(a(x1))) -> b(b(c(x1)))
12.06/3.39	   b(a(a(x1))) -> c(c(b(x1)))
12.06/3.39	   a(c(a(x1))) -> b(b(a(x1)))
12.06/3.39	  weak:
12.06/3.39	   a(a(c(x1))) -> c(c(a(x1)))
12.06/3.39	   a(a(c(x1))) -> b(b(b(x1)))
12.06/3.39	   c(b(c(x1))) -> a(c(a(x1)))
12.06/3.39	  Matrix Interpretation Processor: dim=1
12.06/3.39	   
12.06/3.39	   interpretation:
12.06/3.39	    [b](x0) = 2x0 + 1,
12.06/3.39	    
12.06/3.39	    [c](x0) = 2x0 + 6,
12.06/3.39	    
12.06/3.39	    [a](x0) = 2x0 + 4
12.06/3.39	   orientation:
12.06/3.39	    a(c(a(x1))) = 8x1 + 32 >= 8x1 + 27 = b(b(c(x1)))
12.06/3.39	    
12.06/3.39	    b(a(a(x1))) = 8x1 + 25 >= 8x1 + 22 = c(c(b(x1)))
12.06/3.39	    
12.06/3.39	    a(c(a(x1))) = 8x1 + 32 >= 8x1 + 19 = b(b(a(x1)))
12.06/3.39	    
12.06/3.39	    a(a(c(x1))) = 8x1 + 36 >= 8x1 + 34 = c(c(a(x1)))
12.06/3.39	    
12.06/3.39	    a(a(c(x1))) = 8x1 + 36 >= 8x1 + 7 = b(b(b(x1)))
12.06/3.39	    
12.06/3.39	    c(b(c(x1))) = 8x1 + 32 >= 8x1 + 32 = a(c(a(x1)))
12.06/3.39	   problem:
12.06/3.39	    strict:
12.06/3.39	     
12.06/3.39	    weak:
12.06/3.39	     c(b(c(x1))) -> a(c(a(x1)))
12.06/3.39	   Qed
12.06/3.40	EOF