18.30/4.98	YES
18.30/4.99	
18.30/4.99	Problem:
18.30/4.99	 strict:
18.30/4.99	  b(b(a(x1))) -> a(a(b(x1)))
18.30/4.99	  a(a(a(x1))) -> c(c(a(x1)))
18.30/4.99	  a(a(a(x1))) -> b(c(b(x1)))
18.30/4.99	  b(a(c(x1))) -> a(b(a(x1)))
18.30/4.99	 weak:
18.30/4.99	  c(c(b(x1))) -> a(c(b(x1)))
18.30/4.99	  a(a(a(x1))) -> b(a(a(x1)))
18.30/4.99	
18.30/4.99	Proof:
18.30/4.99	 Matrix Interpretation Processor: dim=1
18.30/4.99	  
18.30/4.99	  interpretation:
18.30/4.99	   [c](x0) = 2x0 + 1,
18.30/4.99	   
18.30/4.99	   [b](x0) = 2x0,
18.30/4.99	   
18.30/4.99	   [a](x0) = 2x0 + 1
18.30/4.99	  orientation:
18.30/4.99	   b(b(a(x1))) = 8x1 + 4 >= 8x1 + 3 = a(a(b(x1)))
18.30/4.99	   
18.30/4.99	   a(a(a(x1))) = 8x1 + 7 >= 8x1 + 7 = c(c(a(x1)))
18.30/4.99	   
18.30/4.99	   a(a(a(x1))) = 8x1 + 7 >= 8x1 + 2 = b(c(b(x1)))
18.30/4.99	   
18.30/4.99	   b(a(c(x1))) = 8x1 + 6 >= 8x1 + 5 = a(b(a(x1)))
18.30/4.99	   
18.30/4.99	   c(c(b(x1))) = 8x1 + 3 >= 8x1 + 3 = a(c(b(x1)))
18.30/4.99	   
18.30/4.99	   a(a(a(x1))) = 8x1 + 7 >= 8x1 + 6 = b(a(a(x1)))
18.30/4.99	  problem:
18.30/4.99	   strict:
18.30/4.99	    a(a(a(x1))) -> c(c(a(x1)))
18.30/4.99	   weak:
18.30/4.99	    c(c(b(x1))) -> a(c(b(x1)))
18.30/4.99	  String Reversal Processor:
18.30/4.99	   strict:
18.30/4.99	    a(a(a(x1))) -> a(c(c(x1)))
18.30/4.99	   weak:
18.30/4.99	    b(c(c(x1))) -> b(c(a(x1)))
18.30/4.99	   Matrix Interpretation Processor: dim=2
18.30/4.99	    
18.30/4.99	    interpretation:
18.30/4.99	               [1 0]     [0]
18.30/4.99	     [c](x0) = [1 1]x0 + [1],
18.30/4.99	     
18.30/4.99	               [1 1]     [1]
18.30/4.99	     [b](x0) = [0 0]x0 + [2],
18.30/4.99	     
18.30/4.99	               [1 0]  
18.30/4.99	     [a](x0) = [0 0]x0
18.30/4.99	    orientation:
18.30/4.99	                   [1 0]      [1 0]                
18.30/4.99	     a(a(a(x1))) = [0 0]x1 >= [0 0]x1 = a(c(c(x1)))
18.30/4.99	     
18.30/4.99	                   [3 1]     [3]    [2 0]     [2]              
18.30/4.99	     b(c(c(x1))) = [0 0]x1 + [2] >= [0 0]x1 + [2] = b(c(a(x1)))
18.30/4.99	    problem:
18.30/4.99	     strict:
18.30/4.99	      a(a(a(x1))) -> a(c(c(x1)))
18.30/4.99	     weak:
18.30/4.99	      
18.30/4.99	    Arctic Interpretation Processor:
18.30/4.99	     dimension: 1
18.30/4.99	     interpretation:
18.30/4.99	      [c](x0) = 1x0,
18.30/4.99	      
18.30/4.99	      [a](x0) = 2x0
18.30/4.99	     orientation:
18.30/4.99	      a(a(a(x1))) = 6x1 >= 4x1 = a(c(c(x1)))
18.30/4.99	     problem:
18.30/4.99	      strict:
18.30/4.99	       
18.30/4.99	      weak:
18.30/4.99	       
18.30/4.99	     Qed
18.30/4.99	EOF