12.48/3.62	YES
12.88/3.63	
12.88/3.63	Problem:
12.88/3.63	 a(b(x1)) -> C(x1)
12.88/3.63	 b(c(x1)) -> A(x1)
12.88/3.63	 c(a(x1)) -> B(x1)
12.88/3.63	 A(C(x1)) -> b(x1)
12.88/3.63	 C(B(x1)) -> a(x1)
12.88/3.63	 B(A(x1)) -> c(x1)
12.88/3.63	 a(a(a(a(a(x1))))) -> A(A(A(x1)))
12.88/3.63	 A(A(A(A(x1)))) -> a(a(a(a(x1))))
12.88/3.63	 b(b(b(b(b(x1))))) -> B(B(B(x1)))
12.88/3.63	 B(B(B(B(x1)))) -> b(b(b(b(x1))))
12.88/3.63	 c(c(c(c(c(x1))))) -> C(C(C(x1)))
12.88/3.63	 C(C(C(C(x1)))) -> c(c(c(c(x1))))
12.88/3.63	 B(a(a(a(a(x1))))) -> c(A(A(A(x1))))
12.88/3.63	 A(A(A(b(x1)))) -> a(a(a(a(C(x1)))))
12.88/3.63	 C(b(b(b(b(x1))))) -> a(B(B(B(x1))))
12.88/3.63	 B(B(B(c(x1)))) -> b(b(b(b(A(x1)))))
12.88/3.63	 A(c(c(c(c(x1))))) -> b(C(C(C(x1))))
12.88/3.63	 C(C(C(a(x1)))) -> c(c(c(c(B(x1)))))
12.88/3.63	 a(A(x1)) -> x1
12.88/3.63	 A(a(x1)) -> x1
12.88/3.63	 b(B(x1)) -> x1
12.88/3.63	 B(b(x1)) -> x1
12.88/3.63	 c(C(x1)) -> x1
12.88/3.63	 C(c(x1)) -> x1
12.88/3.63	
12.88/3.63	Proof:
12.88/3.63	 String Reversal Processor:
12.88/3.63	  b(a(x1)) -> C(x1)
12.88/3.63	  c(b(x1)) -> A(x1)
12.88/3.63	  a(c(x1)) -> B(x1)
12.88/3.63	  C(A(x1)) -> b(x1)
12.88/3.63	  B(C(x1)) -> a(x1)
12.88/3.63	  A(B(x1)) -> c(x1)
12.88/3.63	  a(a(a(a(a(x1))))) -> A(A(A(x1)))
12.88/3.63	  A(A(A(A(x1)))) -> a(a(a(a(x1))))
12.88/3.63	  b(b(b(b(b(x1))))) -> B(B(B(x1)))
12.88/3.63	  B(B(B(B(x1)))) -> b(b(b(b(x1))))
12.88/3.63	  c(c(c(c(c(x1))))) -> C(C(C(x1)))
12.88/3.63	  C(C(C(C(x1)))) -> c(c(c(c(x1))))
12.88/3.63	  a(a(a(a(B(x1))))) -> A(A(A(c(x1))))
12.88/3.63	  b(A(A(A(x1)))) -> C(a(a(a(a(x1)))))
12.88/3.63	  b(b(b(b(C(x1))))) -> B(B(B(a(x1))))
12.88/3.63	  c(B(B(B(x1)))) -> A(b(b(b(b(x1)))))
12.88/3.63	  c(c(c(c(A(x1))))) -> C(C(C(b(x1))))
12.88/3.63	  a(C(C(C(x1)))) -> B(c(c(c(c(x1)))))
12.88/3.63	  A(a(x1)) -> x1
12.88/3.63	  a(A(x1)) -> x1
12.88/3.63	  B(b(x1)) -> x1
12.88/3.63	  b(B(x1)) -> x1
12.88/3.63	  C(c(x1)) -> x1
12.88/3.63	  c(C(x1)) -> x1
12.88/3.63	  Matrix Interpretation Processor: dim=1
12.88/3.63	   
12.88/3.63	   interpretation:
12.88/3.63	    [B](x0) = x0 + 3,
12.88/3.63	    
12.88/3.63	    [A](x0) = x0 + 3,
12.88/3.63	    
12.88/3.63	    [c](x0) = x0 + 2,
12.88/3.63	    
12.88/3.63	    [C](x0) = x0 + 3,
12.88/3.63	    
12.88/3.63	    [a](x0) = x0 + 2,
12.88/3.63	    
12.88/3.63	    [b](x0) = x0 + 2
12.88/3.63	   orientation:
12.88/3.63	    b(a(x1)) = x1 + 4 >= x1 + 3 = C(x1)
12.88/3.63	    
12.88/3.63	    c(b(x1)) = x1 + 4 >= x1 + 3 = A(x1)
12.88/3.63	    
12.88/3.63	    a(c(x1)) = x1 + 4 >= x1 + 3 = B(x1)
12.88/3.63	    
12.88/3.63	    C(A(x1)) = x1 + 6 >= x1 + 2 = b(x1)
12.88/3.63	    
12.88/3.63	    B(C(x1)) = x1 + 6 >= x1 + 2 = a(x1)
12.88/3.63	    
12.88/3.63	    A(B(x1)) = x1 + 6 >= x1 + 2 = c(x1)
12.88/3.63	    
12.88/3.63	    a(a(a(a(a(x1))))) = x1 + 10 >= x1 + 9 = A(A(A(x1)))
12.88/3.63	    
12.88/3.63	    A(A(A(A(x1)))) = x1 + 12 >= x1 + 8 = a(a(a(a(x1))))
12.88/3.63	    
12.88/3.63	    b(b(b(b(b(x1))))) = x1 + 10 >= x1 + 9 = B(B(B(x1)))
12.88/3.63	    
12.88/3.63	    B(B(B(B(x1)))) = x1 + 12 >= x1 + 8 = b(b(b(b(x1))))
12.88/3.63	    
12.88/3.63	    c(c(c(c(c(x1))))) = x1 + 10 >= x1 + 9 = C(C(C(x1)))
12.88/3.63	    
12.88/3.63	    C(C(C(C(x1)))) = x1 + 12 >= x1 + 8 = c(c(c(c(x1))))
12.88/3.63	    
12.88/3.63	    a(a(a(a(B(x1))))) = x1 + 11 >= x1 + 11 = A(A(A(c(x1))))
12.88/3.63	    
12.88/3.63	    b(A(A(A(x1)))) = x1 + 11 >= x1 + 11 = C(a(a(a(a(x1)))))
12.88/3.63	    
12.88/3.63	    b(b(b(b(C(x1))))) = x1 + 11 >= x1 + 11 = B(B(B(a(x1))))
12.88/3.63	    
12.88/3.63	    c(B(B(B(x1)))) = x1 + 11 >= x1 + 11 = A(b(b(b(b(x1)))))
12.88/3.63	    
12.88/3.63	    c(c(c(c(A(x1))))) = x1 + 11 >= x1 + 11 = C(C(C(b(x1))))
12.88/3.63	    
12.88/3.63	    a(C(C(C(x1)))) = x1 + 11 >= x1 + 11 = B(c(c(c(c(x1)))))
12.88/3.63	    
12.88/3.63	    A(a(x1)) = x1 + 5 >= x1 = x1
12.88/3.63	    
12.88/3.63	    a(A(x1)) = x1 + 5 >= x1 = x1
12.88/3.63	    
12.88/3.63	    B(b(x1)) = x1 + 5 >= x1 = x1
12.88/3.63	    
12.88/3.63	    b(B(x1)) = x1 + 5 >= x1 = x1
12.88/3.63	    
12.88/3.63	    C(c(x1)) = x1 + 5 >= x1 = x1
12.88/3.63	    
12.88/3.63	    c(C(x1)) = x1 + 5 >= x1 = x1
12.88/3.63	   problem:
12.88/3.63	    a(a(a(a(B(x1))))) -> A(A(A(c(x1))))
12.88/3.63	    b(A(A(A(x1)))) -> C(a(a(a(a(x1)))))
12.88/3.63	    b(b(b(b(C(x1))))) -> B(B(B(a(x1))))
12.88/3.63	    c(B(B(B(x1)))) -> A(b(b(b(b(x1)))))
12.88/3.63	    c(c(c(c(A(x1))))) -> C(C(C(b(x1))))
12.88/3.63	    a(C(C(C(x1)))) -> B(c(c(c(c(x1)))))
12.88/3.63	   String Reversal Processor:
12.88/3.63	    B(a(a(a(a(x1))))) -> c(A(A(A(x1))))
12.88/3.63	    A(A(A(b(x1)))) -> a(a(a(a(C(x1)))))
12.88/3.63	    C(b(b(b(b(x1))))) -> a(B(B(B(x1))))
12.88/3.63	    B(B(B(c(x1)))) -> b(b(b(b(A(x1)))))
12.88/3.63	    A(c(c(c(c(x1))))) -> b(C(C(C(x1))))
12.88/3.63	    C(C(C(a(x1)))) -> c(c(c(c(B(x1)))))
12.88/3.63	    Bounds Processor:
12.88/3.63	     bound: 0
12.88/3.63	     enrichment: match
12.88/3.63	     automaton:
12.88/3.63	      final states: {22,19,15,11,6,1}
12.88/3.63	      transitions:
12.88/3.63	       f60() -> 2*
12.88/3.63	       c0(25) -> 22*
12.88/3.63	       c0(5) -> 1*
12.88/3.63	       c0(12) -> 23*
12.88/3.63	       c0(24) -> 25*
12.88/3.63	       c0(23) -> 24*
12.88/3.63	       A0(2) -> 3*
12.88/3.63	       A0(4) -> 5*
12.88/3.63	       A0(3) -> 4*
12.88/3.63	       a0(10) -> 6*
12.88/3.63	       a0(7) -> 8*
12.88/3.63	       a0(14) -> 11*
12.88/3.63	       a0(9) -> 10*
12.88/3.63	       a0(8) -> 9*
12.88/3.63	       C0(20) -> 21*
12.88/3.63	       C0(7) -> 20*
12.88/3.63	       C0(2) -> 7*
12.88/3.63	       B0(12) -> 13*
12.88/3.63	       B0(2) -> 12*
12.88/3.63	       B0(13) -> 14*
12.88/3.63	       b0(17) -> 18*
12.88/3.63	       b0(21) -> 19*
12.88/3.63	       b0(16) -> 17*
12.88/3.63	       b0(18) -> 15*
12.88/3.63	       b0(3) -> 16*
12.88/3.63	       1 -> 12*
12.88/3.63	       6 -> 3,4,5
12.88/3.63	       11 -> 7*
12.88/3.63	       15 -> 12,13,14
12.88/3.63	       19 -> 3*
12.88/3.63	       22 -> 7,20,21
12.88/3.63	     problem:
12.88/3.63	      
12.88/3.63	     Qed
12.88/3.63	EOF