12.44/3.51	YES
12.44/3.51	
12.44/3.51	Problem:
12.44/3.51	 strict:
12.44/3.51	  c(c(c(x1))) -> b(b(b(x1)))
12.44/3.51	 weak:
12.44/3.51	  b(a(a(x1))) -> a(b(c(x1)))
12.44/3.51	  b(b(b(x1))) -> a(a(b(x1)))
12.44/3.51	  b(c(a(x1))) -> a(c(a(x1)))
12.44/3.51	  a(c(b(x1))) -> c(a(a(x1)))
12.44/3.51	
12.44/3.51	Proof:
12.44/3.51	 String Reversal Processor:
12.44/3.51	  strict:
12.44/3.51	   c(c(c(x1))) -> b(b(b(x1)))
12.44/3.51	  weak:
12.44/3.51	   a(a(b(x1))) -> c(b(a(x1)))
12.44/3.51	   b(b(b(x1))) -> b(a(a(x1)))
12.44/3.51	   a(c(b(x1))) -> a(c(a(x1)))
12.44/3.51	   b(c(a(x1))) -> a(a(c(x1)))
12.44/3.51	  Matrix Interpretation Processor: dim=2
12.44/3.51	   
12.44/3.51	   interpretation:
12.44/3.51	              [1 1]  
12.44/3.51	    [a](x0) = [1 0]x0,
12.44/3.51	    
12.44/3.51	              [1 1]     [0]
12.44/3.51	    [b](x0) = [1 0]x0 + [1],
12.44/3.51	    
12.44/3.51	              [1 1]     [0]
12.44/3.51	    [c](x0) = [1 0]x0 + [1]
12.44/3.51	   orientation:
12.44/3.51	                  [3 2]     [2]    [3 2]     [2]              
12.44/3.51	    c(c(c(x1))) = [2 1]x1 + [2] >= [2 1]x1 + [2] = b(b(b(x1)))
12.44/3.51	    
12.44/3.51	                  [3 2]     [1]    [3 2]     [1]              
12.44/3.51	    a(a(b(x1))) = [2 1]x1 + [1] >= [2 1]x1 + [1] = c(b(a(x1)))
12.44/3.51	    
12.44/3.51	                  [3 2]     [2]    [3 2]     [0]              
12.44/3.51	    b(b(b(x1))) = [2 1]x1 + [2] >= [2 1]x1 + [1] = b(a(a(x1)))
12.44/3.51	    
12.44/3.51	                  [3 2]     [2]    [3 2]     [1]              
12.44/3.51	    a(c(b(x1))) = [2 1]x1 + [1] >= [2 1]x1 + [0] = a(c(a(x1)))
12.44/3.51	    
12.44/3.51	                  [3 2]     [1]    [3 2]     [1]              
12.44/3.51	    b(c(a(x1))) = [2 1]x1 + [1] >= [2 1]x1 + [1] = a(a(c(x1)))
12.44/3.51	   problem:
12.44/3.51	    strict:
12.44/3.51	     c(c(c(x1))) -> b(b(b(x1)))
12.44/3.51	    weak:
12.44/3.51	     a(a(b(x1))) -> c(b(a(x1)))
12.44/3.51	     b(c(a(x1))) -> a(a(c(x1)))
12.44/3.51	   String Reversal Processor:
12.44/3.51	    strict:
12.44/3.51	     c(c(c(x1))) -> b(b(b(x1)))
12.44/3.51	    weak:
12.44/3.51	     b(a(a(x1))) -> a(b(c(x1)))
12.44/3.51	     a(c(b(x1))) -> c(a(a(x1)))
12.44/3.51	    Bounds Processor:
12.44/3.51	     bound: 1
12.44/3.51	     enrichment: match-rt
12.44/3.51	     automaton:
12.44/3.51	      final states: {4}
12.44/3.51	      transitions:
12.44/3.51	       b1(10) -> 11*
12.44/3.51	       b1(32) -> 33*
12.44/3.51	       b1(29) -> 30*
12.44/3.51	       b1(14) -> 15*
12.44/3.51	       b1(9) -> 10*
12.44/3.51	       b1(11) -> 12*
12.44/3.51	       c1(31) -> 32*
12.44/3.51	       c1(23) -> 24*
12.44/3.51	       c1(13) -> 14*
12.44/3.51	       a1(15) -> 16*
12.44/3.51	       a1(22) -> 23*
12.44/3.51	       a1(21) -> 22*
12.44/3.51	       a1(33) -> 34*
12.44/3.51	       c0(4) -> 4*
12.44/3.51	       b0(4) -> 4*
12.44/3.51	       a0(4) -> 4*
12.44/3.51	       4 -> 13,9
12.44/3.51	       11 -> 21*
12.44/3.51	       12 -> 14,4
12.44/3.51	       16 -> 10*
12.44/3.51	       21 -> 31*
12.44/3.51	       23 -> 29*
12.44/3.51	       24 -> 4*
12.44/3.51	       30 -> 10*
12.44/3.51	       34 -> 30*
12.44/3.51	     problem:
12.44/3.51	      strict:
12.44/3.51	       
12.44/3.51	      weak:
12.44/3.51	       b(a(a(x1))) -> a(b(c(x1)))
12.44/3.51	       a(c(b(x1))) -> c(a(a(x1)))
12.44/3.51	     Qed
12.44/3.52	EOF