8.77/2.53	YES
8.77/2.54	
8.77/2.54	Problem:
8.77/2.54	 strict:
8.77/2.54	  a(c(a(x1))) -> b(a(c(x1)))
8.77/2.54	  a(b(b(x1))) -> a(a(c(x1)))
8.77/2.54	  b(a(c(x1))) -> c(c(a(x1)))
8.77/2.54	 weak:
8.77/2.54	  a(c(a(x1))) -> a(c(c(x1)))
8.77/2.54	  a(b(b(x1))) -> a(b(b(x1)))
8.77/2.54	  a(b(b(x1))) -> a(b(a(x1)))
8.77/2.54	  b(c(c(x1))) -> c(b(c(x1)))
8.77/2.54	
8.77/2.54	Proof:
8.77/2.54	 String Reversal Processor:
8.77/2.54	  strict:
8.77/2.54	   a(c(a(x1))) -> c(a(b(x1)))
8.77/2.54	   b(b(a(x1))) -> c(a(a(x1)))
8.77/2.54	   c(a(b(x1))) -> a(c(c(x1)))
8.77/2.54	  weak:
8.77/2.54	   a(c(a(x1))) -> c(c(a(x1)))
8.77/2.54	   b(b(a(x1))) -> b(b(a(x1)))
8.77/2.54	   b(b(a(x1))) -> a(b(a(x1)))
8.77/2.54	   c(c(b(x1))) -> c(b(c(x1)))
8.77/2.54	  Arctic Interpretation Processor:
8.77/2.54	   dimension: 1
8.77/2.54	   interpretation:
8.77/2.54	    [b](x0) = 3x0,
8.77/2.54	    
8.77/2.54	    [c](x0) = 1x0,
8.77/2.54	    
8.77/2.54	    [a](x0) = 3x0
8.77/2.54	   orientation:
8.77/2.54	    a(c(a(x1))) = 7x1 >= 7x1 = c(a(b(x1)))
8.77/2.54	    
8.77/2.54	    b(b(a(x1))) = 9x1 >= 7x1 = c(a(a(x1)))
8.77/2.54	    
8.77/2.54	    c(a(b(x1))) = 7x1 >= 5x1 = a(c(c(x1)))
8.77/2.54	    
8.77/2.54	    a(c(a(x1))) = 7x1 >= 5x1 = c(c(a(x1)))
8.77/2.54	    
8.77/2.54	    b(b(a(x1))) = 9x1 >= 9x1 = b(b(a(x1)))
8.77/2.54	    
8.77/2.54	    b(b(a(x1))) = 9x1 >= 9x1 = a(b(a(x1)))
8.77/2.54	    
8.77/2.54	    c(c(b(x1))) = 5x1 >= 5x1 = c(b(c(x1)))
8.77/2.54	   problem:
8.77/2.54	    strict:
8.77/2.54	     a(c(a(x1))) -> c(a(b(x1)))
8.77/2.55	    weak:
8.77/2.55	     b(b(a(x1))) -> b(b(a(x1)))
8.77/2.55	     b(b(a(x1))) -> a(b(a(x1)))
8.77/2.55	     c(c(b(x1))) -> c(b(c(x1)))
8.77/2.55	   String Reversal Processor:
8.77/2.55	    strict:
8.77/2.55	     a(c(a(x1))) -> b(a(c(x1)))
8.77/2.55	    weak:
8.77/2.55	     a(b(b(x1))) -> a(b(b(x1)))
8.77/2.55	     a(b(b(x1))) -> a(b(a(x1)))
8.77/2.55	     b(c(c(x1))) -> c(b(c(x1)))
8.77/2.55	    Bounds Processor:
8.77/2.55	     bound: 2
8.77/2.55	     enrichment: match-rt
8.77/2.55	     automaton:
8.77/2.55	      final states: {4}
8.77/2.55	      transitions:
8.77/2.55	       b1(44) -> 45*
8.77/2.55	       b1(11) -> 12*
8.77/2.55	       a1(10) -> 11*
8.77/2.55	       a1(57) -> 58*
8.77/2.55	       a1(27) -> 28*
8.77/2.55	       a1(17) -> 18*
8.77/2.55	       a1(59) -> 60*
8.77/2.55	       c1(19) -> 20*
8.77/2.55	       c1(9) -> 10*
8.77/2.55	       c1(38) -> 39*
8.77/2.55	       b2(35) -> 36*
8.77/2.55	       b2(25) -> 26*
8.77/2.55	       a0(4) -> 4*
8.77/2.55	       a2(24) -> 25*
8.77/2.55	       a2(51) -> 52*
8.77/2.55	       a2(36) -> 37*
8.77/2.55	       c0(4) -> 4*
8.77/2.55	       c2(42) -> 43*
8.77/2.55	       c2(23) -> 24*
8.77/2.55	       b0(4) -> 4*
8.77/2.55	       4 -> 9*
8.77/2.55	       11 -> 27*
8.77/2.55	       12 -> 17,11,4
8.77/2.55	       17 -> 23,19
8.77/2.55	       18 -> 4*
8.77/2.55	       20 -> 10*
8.77/2.55	       25 -> 57,51,44
8.77/2.55	       26 -> 35,11
8.77/2.55	       28 -> 11*
8.77/2.55	       36 -> 42,38
8.77/2.55	       37 -> 28,18
8.77/2.55	       39 -> 10*
8.77/2.55	       43 -> 24*
8.77/2.55	       44 -> 59*
8.77/2.55	       45 -> 11*
8.77/2.55	       52 -> 35*
8.77/2.55	       58 -> 11*
8.77/2.55	       60 -> 11*
8.77/2.55	     problem:
8.77/2.55	      strict:
8.77/2.55	       
8.77/2.55	      weak:
8.77/2.55	       a(b(b(x1))) -> a(b(b(x1)))
8.77/2.55	       a(b(b(x1))) -> a(b(a(x1)))
8.77/2.55	       b(c(c(x1))) -> c(b(c(x1)))
8.77/2.55	     Qed
8.77/2.55	EOF