2.23/1.26	YES
2.23/1.27	
2.23/1.27	Problem:
2.23/1.27	 a(b(x1)) -> b(a(a(x1)))
2.23/1.27	 b(x1) -> c(a(c(x1)))
2.23/1.27	 a(a(x1)) -> a(c(a(x1)))
2.23/1.27	
2.23/1.27	Proof:
2.23/1.27	 Matrix Interpretation Processor: dim=1
2.23/1.27	  
2.23/1.27	  interpretation:
2.23/1.27	   [c](x0) = x0,
2.23/1.27	   
2.23/1.27	   [a](x0) = x0,
2.23/1.27	   
2.23/1.27	   [b](x0) = x0 + 1
2.23/1.27	  orientation:
2.23/1.27	   a(b(x1)) = x1 + 1 >= x1 + 1 = b(a(a(x1)))
2.23/1.27	   
2.23/1.27	   b(x1) = x1 + 1 >= x1 = c(a(c(x1)))
2.23/1.27	   
2.23/1.27	   a(a(x1)) = x1 >= x1 = a(c(a(x1)))
2.23/1.27	  problem:
2.23/1.27	   a(b(x1)) -> b(a(a(x1)))
2.23/1.27	   a(a(x1)) -> a(c(a(x1)))
2.23/1.27	  String Reversal Processor:
2.23/1.27	   b(a(x1)) -> a(a(b(x1)))
2.23/1.27	   a(a(x1)) -> a(c(a(x1)))
2.23/1.27	   Bounds Processor:
2.23/1.27	    bound: 2
2.23/1.27	    enrichment: match
2.23/1.27	    automaton:
2.23/1.27	     final states: {5,1}
2.23/1.27	     transitions:
2.23/1.27	      f30() -> 2*
2.23/1.27	      a0(7) -> 5*
2.23/1.27	      a0(2) -> 6*
2.23/1.27	      a0(4) -> 1*
2.23/1.27	      a0(3) -> 4*
2.23/1.27	      b0(2) -> 3*
2.23/1.27	      c0(6) -> 7*
2.23/1.27	      a1(12) -> 13*
2.23/1.27	      a1(24) -> 25*
2.23/1.27	      a1(14) -> 15*
2.23/1.27	      c1(13) -> 14*
2.23/1.27	      a2(20) -> 21*
2.23/1.27	      a2(22) -> 23*
2.23/1.27	      a2(29) -> 30*
2.23/1.27	      c2(21) -> 22*
2.23/1.27	      c2(28) -> 29*
2.23/1.27	      1 -> 3,12
2.23/1.27	      3 -> 12*
2.23/1.27	      4 -> 24*
2.23/1.27	      5 -> 6*
2.23/1.27	      14 -> 20*
2.23/1.27	      15 -> 25,1
2.23/1.27	      23 -> 28,4,13
2.23/1.27	      25 -> 21*
2.23/1.27	      30 -> 25*
2.23/1.27	    problem:
2.23/1.27	     
2.23/1.27	    Qed
2.23/1.27	EOF