2.53/0.94	YES
2.53/0.95	
2.53/0.95	Problem:
2.53/0.95	 g(c(x1)) -> g(f(c(x1)))
2.53/0.95	 g(f(c(x1))) -> g(f(f(c(x1))))
2.53/0.95	 g(g(x1)) -> g(f(g(x1)))
2.53/0.95	 f(f(g(x1))) -> g(f(x1))
2.53/0.95	
2.53/0.95	Proof:
2.53/0.95	 Bounds Processor:
2.53/0.95	  bound: 2
2.53/0.95	  enrichment: match
2.53/0.95	  automaton:
2.53/0.95	   final states: {10,7,5,1}
2.53/0.95	   transitions:
2.53/0.95	    g1(30) -> 31*
2.53/0.95	    g1(15) -> 16*
2.53/0.95	    g1(26) -> 27*
2.53/0.95	    g1(28) -> 29*
2.53/0.95	    f1(27) -> 28*
2.53/0.95	    f1(34) -> 35*
2.53/0.95	    f1(14) -> 15*
2.53/0.95	    f1(13) -> 14*
2.53/0.95	    c1(12) -> 13*
2.53/0.95	    g2(42) -> 43*
2.53/0.95	    g2(44) -> 45*
2.53/0.95	    f2(43) -> 44*
2.53/0.95	    f30() -> 2*
2.53/0.95	    g0(2) -> 8*
2.53/0.95	    g0(9) -> 7*
2.53/0.95	    g0(4) -> 1*
2.53/0.95	    g0(11) -> 10*
2.53/0.95	    g0(6) -> 5*
2.53/0.95	    f0(2) -> 11*
2.53/0.95	    f0(4) -> 6*
2.53/0.95	    f0(8) -> 9*
2.53/0.95	    f0(3) -> 4*
2.53/0.95	    c0(2) -> 3*
2.53/0.95	    1 -> 8*
2.53/0.95	    2 -> 12*
2.53/0.95	    5 -> 10*
2.53/0.95	    6 -> 30*
2.53/0.95	    7 -> 8*
2.53/0.95	    10 -> 11*
2.53/0.95	    11 -> 26*
2.53/0.95	    16 -> 1*
2.53/0.95	    28 -> 42*
2.53/0.95	    29 -> 27,34,10,11
2.53/0.95	    31 -> 27*
2.53/0.95	    35 -> 28*
2.53/0.95	    45 -> 27*
2.53/0.95	  problem:
2.53/0.95	   
2.53/0.95	  Qed
2.53/0.95	EOF