14.17/3.91	YES
14.17/3.91	
14.17/3.91	Problem:
14.17/3.91	 strict:
14.17/3.91	  b(a(a(x1))) -> c(b(b(x1)))
14.17/3.91	  a(a(a(x1))) -> a(c(c(x1)))
14.17/3.91	  a(c(b(x1))) -> a(a(b(x1)))
14.17/3.91	  c(a(c(x1))) -> c(c(c(x1)))
14.17/3.91	 weak:
14.17/3.91	  c(a(a(x1))) -> c(a(a(x1)))
14.17/3.91	  c(c(a(x1))) -> c(b(b(x1)))
14.17/3.91	  a(a(b(x1))) -> b(a(b(x1)))
14.17/3.91	
14.17/3.91	Proof:
14.17/3.91	 String Reversal Processor:
14.17/3.91	  strict:
14.17/3.91	   a(a(b(x1))) -> b(b(c(x1)))
14.17/3.91	   a(a(a(x1))) -> c(c(a(x1)))
14.17/3.91	   b(c(a(x1))) -> b(a(a(x1)))
14.17/3.91	   c(a(c(x1))) -> c(c(c(x1)))
14.17/3.91	  weak:
14.17/3.91	   a(a(c(x1))) -> a(a(c(x1)))
14.17/3.91	   a(c(c(x1))) -> b(b(c(x1)))
14.17/3.91	   b(a(a(x1))) -> b(a(b(x1)))
14.17/3.91	  Arctic Interpretation Processor:
14.17/3.91	   dimension: 1
14.17/3.91	   interpretation:
14.17/3.91	    [c](x0) = 8x0,
14.17/3.91	    
14.17/3.91	    [b](x0) = x0,
14.17/3.91	    
14.17/3.91	    [a](x0) = 8x0
14.17/3.91	   orientation:
14.17/3.91	    a(a(b(x1))) = 16x1 >= 8x1 = b(b(c(x1)))
14.17/3.91	    
14.17/3.91	    a(a(a(x1))) = 24x1 >= 24x1 = c(c(a(x1)))
14.17/3.91	    
14.17/3.91	    b(c(a(x1))) = 16x1 >= 16x1 = b(a(a(x1)))
14.17/3.91	    
14.17/3.91	    c(a(c(x1))) = 24x1 >= 24x1 = c(c(c(x1)))
14.17/3.91	    
14.17/3.91	    a(a(c(x1))) = 24x1 >= 24x1 = a(a(c(x1)))
14.17/3.91	    
14.17/3.91	    a(c(c(x1))) = 24x1 >= 8x1 = b(b(c(x1)))
14.17/3.91	    
14.17/3.91	    b(a(a(x1))) = 16x1 >= 8x1 = b(a(b(x1)))
14.17/3.91	   problem:
14.17/3.91	    strict:
14.17/3.91	     a(a(a(x1))) -> c(c(a(x1)))
14.17/3.91	     b(c(a(x1))) -> b(a(a(x1)))
14.17/3.91	     c(a(c(x1))) -> c(c(c(x1)))
14.17/3.91	    weak:
14.17/3.91	     a(a(c(x1))) -> a(a(c(x1)))
14.17/3.91	   String Reversal Processor:
14.17/3.91	    strict:
14.17/3.91	     a(a(a(x1))) -> a(c(c(x1)))
14.17/3.91	     a(c(b(x1))) -> a(a(b(x1)))
14.17/3.91	     c(a(c(x1))) -> c(c(c(x1)))
14.17/3.91	    weak:
14.17/3.91	     c(a(a(x1))) -> c(a(a(x1)))
14.17/3.91	    Bounds Processor:
14.17/3.91	     bound: 2
14.17/3.91	     enrichment: match-rt
14.17/3.91	     automaton:
14.17/3.91	      final states: {4}
14.17/3.91	      transitions:
14.17/3.91	       a1(49) -> 50*
14.17/3.91	       a1(88) -> 89*
14.17/3.91	       a1(48) -> 49*
14.17/3.91	       c1(25) -> 26*
14.17/3.91	       c1(27) -> 28*
14.17/3.91	       c1(26) -> 27*
14.17/3.91	       c1(90) -> 91*
14.17/3.91	       b1(87) -> 88*
14.17/3.91	       c2(65) -> 66*
14.17/3.91	       c2(64) -> 65*
14.17/3.91	       c2(66) -> 67*
14.17/3.91	       c2(68) -> 69*
14.17/3.91	       a0(4) -> 4*
14.17/3.91	       c0(4) -> 4*
14.17/3.91	       b0(4) -> 4*
14.17/3.91	       4 -> 87,48,25
14.17/3.91	       26 -> 68*
14.17/3.91	       27 -> 64,4
14.17/3.91	       28 -> 4*
14.17/3.91	       49 -> 50*
14.17/3.91	       50 -> 25*
14.17/3.91	       67 -> 26*
14.17/3.91	       69 -> 65*
14.17/3.91	       88 -> 90*
14.17/3.91	       89 -> 48*
14.17/3.91	       91 -> 26*
14.17/3.91	     problem:
14.17/3.91	      strict:
14.17/3.91	       a(a(a(x1))) -> a(c(c(x1)))
14.17/3.91	       a(c(b(x1))) -> a(a(b(x1)))
14.17/3.91	      weak:
14.17/3.91	       c(a(a(x1))) -> c(a(a(x1)))
14.17/3.91	     Matrix Interpretation Processor: dim=2
14.17/3.91	      
14.17/3.91	      interpretation:
14.17/3.91	                 [1 0]     [0]
14.17/3.91	       [c](x0) = [0 0]x0 + [1],
14.17/3.91	       
14.17/3.91	                 [2 0]  
14.17/3.91	       [b](x0) = [0 0]x0,
14.17/3.91	       
14.17/3.91	                 [1 2]     [1]
14.17/3.91	       [a](x0) = [0 0]x0 + [0]
14.17/3.91	      orientation:
14.17/3.91	                     [1 2]     [3]    [1 0]     [3]              
14.17/3.91	       a(a(a(x1))) = [0 0]x1 + [0] >= [0 0]x1 + [0] = a(c(c(x1)))
14.17/3.91	       
14.17/3.91	                     [2 0]     [3]    [2 0]     [2]              
14.17/3.91	       a(c(b(x1))) = [0 0]x1 + [0] >= [0 0]x1 + [0] = a(a(b(x1)))
14.17/3.91	       
14.17/3.91	                     [1 2]     [2]    [1 2]     [2]              
14.17/3.91	       c(a(a(x1))) = [0 0]x1 + [1] >= [0 0]x1 + [1] = c(a(a(x1)))
14.17/3.91	      problem:
14.17/3.91	       strict:
14.17/3.91	        a(a(a(x1))) -> a(c(c(x1)))
14.17/3.91	       weak:
14.17/3.91	        c(a(a(x1))) -> c(a(a(x1)))
14.17/3.91	      String Reversal Processor:
14.17/3.91	       strict:
14.17/3.91	        a(a(a(x1))) -> c(c(a(x1)))
14.17/3.91	       weak:
14.17/3.91	        a(a(c(x1))) -> a(a(c(x1)))
14.17/3.91	       Arctic Interpretation Processor:
14.17/3.91	        dimension: 1
14.17/3.91	        interpretation:
14.17/3.91	         [c](x0) = 2x0,
14.17/3.91	         
14.17/3.91	         [a](x0) = 4x0
14.17/3.91	        orientation:
14.17/3.91	         a(a(a(x1))) = 12x1 >= 8x1 = c(c(a(x1)))
14.17/3.91	         
14.17/3.91	         a(a(c(x1))) = 10x1 >= 10x1 = a(a(c(x1)))
14.17/3.91	        problem:
14.17/3.91	         strict:
14.17/3.91	          
14.17/3.91	         weak:
14.17/3.91	          a(a(c(x1))) -> a(a(c(x1)))
14.17/3.91	        Qed
14.17/3.92	EOF