4.56/1.49	YES
4.56/1.50	
4.56/1.50	Problem:
4.56/1.50	 strict:
4.56/1.50	  f(g(f(x))) -> f(g(g(g(f(x)))))
4.56/1.50	 weak:
4.56/1.50	  g(x) -> g(g(x))
4.56/1.50	
4.56/1.50	Proof:
4.56/1.50	 Bounds Processor:
4.56/1.50	  bound: 1
4.56/1.50	  enrichment: match-rt
4.56/1.50	  automaton:
4.56/1.50	   final states: {2,1}
4.56/1.50	   transitions:
4.56/1.50	    f1(4) -> 5*
4.56/1.50	    f1(18) -> 19*
4.56/1.50	    f1(8) -> 9*
4.56/1.50	    g1(25) -> 26*
4.56/1.50	    g1(20) -> 21*
4.56/1.50	    g1(5) -> 6*
4.56/1.50	    g1(7) -> 8*
4.56/1.50	    g1(26) -> 27*
4.56/1.50	    g1(6) -> 7*
4.56/1.50	    g1(28) -> 29*
4.56/1.50	    f0(2) -> 1*
4.56/1.50	    f0(1) -> 1*
4.56/1.50	    g0(2) -> 2*
4.56/1.50	    g0(1) -> 2*
4.56/1.50	    1 -> 25,18
4.56/1.50	    2 -> 28,4
4.56/1.50	    7 -> 21,6
4.56/1.50	    9 -> 5,20,1
4.56/1.50	    19 -> 5*
4.56/1.50	    21 -> 6*
4.56/1.50	    27 -> 29,2
4.56/1.50	    29 -> 26*
4.56/1.50	  problem:
4.56/1.50	   strict:
4.56/1.50	    
4.56/1.50	   weak:
4.56/1.50	    g(x) -> g(g(x))
4.56/1.50	  Qed
4.56/1.50	EOF