4.24/1.79	YES
4.24/1.79	
4.24/1.79	Problem:
4.24/1.79	 a(s(x1)) -> s(a(x1))
4.24/1.79	 b(a(b(s(x1)))) -> a(b(s(a(x1))))
4.24/1.79	 b(a(b(b(x1)))) -> c(s(x1))
4.24/1.79	 c(s(x1)) -> a(b(a(b(x1))))
4.24/1.79	 a(b(a(a(x1)))) -> b(a(b(a(x1))))
4.24/1.79	
4.24/1.79	Proof:
4.24/1.79	 String Reversal Processor:
4.24/1.79	  s(a(x1)) -> a(s(x1))
4.24/1.79	  s(b(a(b(x1)))) -> a(s(b(a(x1))))
4.24/1.79	  b(b(a(b(x1)))) -> s(c(x1))
4.24/1.79	  s(c(x1)) -> b(a(b(a(x1))))
4.24/1.79	  a(a(b(a(x1)))) -> a(b(a(b(x1))))
4.24/1.79	  Matrix Interpretation Processor: dim=1
4.24/1.79	   
4.24/1.79	   interpretation:
4.24/1.79	    [c](x0) = 8x0 + 15,
4.24/1.79	    
4.24/1.79	    [b](x0) = 2x0 + 2,
4.24/1.79	    
4.24/1.79	    [a](x0) = 2x0 + 2,
4.24/1.79	    
4.24/1.79	    [s](x0) = 2x0
4.24/1.79	   orientation:
4.24/1.79	    s(a(x1)) = 4x1 + 4 >= 4x1 + 2 = a(s(x1))
4.24/1.79	    
4.24/1.79	    s(b(a(b(x1)))) = 16x1 + 28 >= 16x1 + 26 = a(s(b(a(x1))))
4.24/1.79	    
4.24/1.79	    b(b(a(b(x1)))) = 16x1 + 30 >= 16x1 + 30 = s(c(x1))
4.24/1.79	    
4.24/1.79	    s(c(x1)) = 16x1 + 30 >= 16x1 + 30 = b(a(b(a(x1))))
4.24/1.79	    
4.24/1.79	    a(a(b(a(x1)))) = 16x1 + 30 >= 16x1 + 30 = a(b(a(b(x1))))
4.24/1.79	   problem:
4.24/1.79	    b(b(a(b(x1)))) -> s(c(x1))
4.24/1.79	    s(c(x1)) -> b(a(b(a(x1))))
4.24/1.79	    a(a(b(a(x1)))) -> a(b(a(b(x1))))
4.24/1.79	   Bounds Processor:
4.24/1.79	    bound: 1
4.24/1.79	    enrichment: match
4.24/1.79	    automaton:
4.24/1.79	     final states: {8,4,1}
4.24/1.79	     transitions:
4.24/1.79	      f40() -> 2*
4.24/1.79	      s0(3) -> 1*
4.24/1.79	      c0(2) -> 3*
4.24/1.79	      b0(10) -> 11*
4.24/1.79	      b0(5) -> 6*
4.24/1.79	      b0(7) -> 4*
4.24/1.79	      b0(2) -> 9*
4.24/1.79	      a0(2) -> 5*
4.24/1.79	      a0(9) -> 10*
4.24/1.79	      a0(11) -> 8*
4.24/1.79	      a0(6) -> 7*
4.24/1.79	      b1(20) -> 21*
4.24/1.79	      b1(18) -> 19*
4.24/1.79	      a1(17) -> 18*
4.24/1.79	      a1(19) -> 20*
4.24/1.79	      1 -> 9*
4.24/1.79	      2 -> 17*
4.24/1.79	      8 -> 18,5
4.24/1.79	      21 -> 1*
4.24/1.79	    problem:
4.24/1.79	     
4.24/1.79	    Qed
4.24/1.80	EOF