4.71/1.56	YES
4.71/1.56	
4.71/1.56	Problem:
4.71/1.56	 a(a(x1)) -> b(c(x1))
4.71/1.56	 b(b(x1)) -> c(d(x1))
4.71/1.56	 c(c(x1)) -> d(d(d(x1)))
4.71/1.56	 d(c(x1)) -> b(f(x1))
4.71/1.56	 d(d(d(x1))) -> a(c(x1))
4.71/1.56	 f(f(x1)) -> f(b(x1))
4.71/1.56	
4.71/1.56	Proof:
4.71/1.56	 String Reversal Processor:
4.71/1.56	  a(a(x1)) -> c(b(x1))
4.71/1.56	  b(b(x1)) -> d(c(x1))
4.71/1.56	  c(c(x1)) -> d(d(d(x1)))
4.71/1.56	  c(d(x1)) -> f(b(x1))
4.71/1.56	  d(d(d(x1))) -> c(a(x1))
4.71/1.56	  f(f(x1)) -> b(f(x1))
4.71/1.56	  Matrix Interpretation Processor: dim=1
4.71/1.56	   
4.71/1.56	   interpretation:
4.71/1.56	    [f](x0) = x0 + 10,
4.71/1.56	    
4.71/1.56	    [d](x0) = x0 + 8,
4.71/1.56	    
4.71/1.56	    [b](x0) = x0 + 10,
4.71/1.56	    
4.71/1.56	    [c](x0) = x0 + 12,
4.71/1.56	    
4.71/1.56	    [a](x0) = x0 + 11
4.71/1.56	   orientation:
4.71/1.56	    a(a(x1)) = x1 + 22 >= x1 + 22 = c(b(x1))
4.71/1.56	    
4.71/1.56	    b(b(x1)) = x1 + 20 >= x1 + 20 = d(c(x1))
4.71/1.56	    
4.71/1.56	    c(c(x1)) = x1 + 24 >= x1 + 24 = d(d(d(x1)))
4.71/1.56	    
4.71/1.56	    c(d(x1)) = x1 + 20 >= x1 + 20 = f(b(x1))
4.71/1.56	    
4.71/1.56	    d(d(d(x1))) = x1 + 24 >= x1 + 23 = c(a(x1))
4.71/1.56	    
4.71/1.56	    f(f(x1)) = x1 + 20 >= x1 + 20 = b(f(x1))
4.71/1.56	   problem:
4.71/1.56	    a(a(x1)) -> c(b(x1))
4.71/1.56	    b(b(x1)) -> d(c(x1))
4.71/1.56	    c(c(x1)) -> d(d(d(x1)))
4.71/1.56	    c(d(x1)) -> f(b(x1))
4.71/1.56	    f(f(x1)) -> b(f(x1))
4.71/1.56	   String Reversal Processor:
4.71/1.56	    a(a(x1)) -> b(c(x1))
4.71/1.56	    b(b(x1)) -> c(d(x1))
4.71/1.56	    c(c(x1)) -> d(d(d(x1)))
4.71/1.56	    d(c(x1)) -> b(f(x1))
4.71/1.56	    f(f(x1)) -> f(b(x1))
4.71/1.56	    Bounds Processor:
4.71/1.56	     bound: 0
4.71/1.56	     enrichment: match
4.71/1.56	     automaton:
4.71/1.56	      final states: {10,8,6,4,1}
4.71/1.56	      transitions:
4.71/1.56	       f50() -> 2*
4.71/1.56	       b0(2) -> 11*
4.71/1.56	       b0(9) -> 8*
4.71/1.56	       b0(3) -> 1*
4.71/1.56	       c0(5) -> 4*
4.71/1.56	       c0(2) -> 3*
4.71/1.56	       d0(5) -> 7*
4.71/1.56	       d0(7) -> 6*
4.71/1.56	       d0(2) -> 5*
4.71/1.56	       f0(2) -> 9*
4.71/1.56	       f0(11) -> 10*
4.71/1.56	       4 -> 11*
4.71/1.56	       6 -> 3*
4.71/1.56	       8 -> 5*
4.71/1.56	       10 -> 9*
4.71/1.56	     problem:
4.71/1.56	      
4.71/1.56	     Qed
5.18/1.57	EOF