YES(?,O(n^1))
0.16/0.31	YES(?,O(n^1))
0.16/0.31	
0.16/0.31	Problem:
0.16/0.31	 f(f(X)) -> c(n__f(g(n__f(X))))
0.16/0.31	 c(X) -> d(activate(X))
0.16/0.31	 h(X) -> c(n__d(X))
0.16/0.31	 f(X) -> n__f(X)
0.16/0.31	 d(X) -> n__d(X)
0.16/0.31	 activate(n__f(X)) -> f(X)
0.16/0.31	 activate(n__d(X)) -> d(X)
0.16/0.31	 activate(X) -> X
0.16/0.31	
0.16/0.31	Proof:
0.16/0.31	 Bounds Processor:
0.16/0.31	  bound: 3
0.16/0.31	  enrichment: match
0.16/0.31	  automaton:
0.16/0.31	   final states: {8,7,6,5,4}
0.16/0.31	   transitions:
0.16/0.31	    d1(65) -> 66*
0.16/0.31	    d1(10) -> 11*
0.16/0.31	    d1(71) -> 72*
0.16/0.31	    d1(63) -> 64*
0.16/0.31	    f1(55) -> 56*
0.16/0.31	    f1(57) -> 58*
0.16/0.31	    f1(49) -> 50*
0.16/0.31	    n__d1(35) -> 36*
0.16/0.31	    n__d1(29) -> 30*
0.16/0.31	    n__d1(26) -> 27*
0.16/0.31	    n__f1(45) -> 46*
0.16/0.31	    n__f1(37) -> 38*
0.16/0.31	    n__f1(43) -> 44*
0.16/0.31	    c1(27) -> 28*
0.16/0.31	    activate1(17) -> 18*
0.16/0.31	    activate1(19) -> 20*
0.16/0.31	    activate1(9) -> 10*
0.16/0.31	    n__d2(97) -> 98*
0.16/0.31	    n__d2(99) -> 100*
0.16/0.31	    n__d2(91) -> 92*
0.16/0.31	    n__d2(105) -> 106*
0.16/0.31	    n__f2(89) -> 90*
0.16/0.31	    n__f2(81) -> 82*
0.16/0.31	    n__f2(83) -> 84*
0.16/0.31	    d2(77) -> 78*
0.16/0.31	    d2(119) -> 120*
0.16/0.31	    d2(111) -> 112*
0.16/0.31	    d2(113) -> 114*
0.16/0.31	    f0(2) -> 4*
0.16/0.31	    f0(1) -> 4*
0.16/0.31	    f0(3) -> 4*
0.16/0.31	    activate2(76) -> 77*
0.16/0.31	    c0(2) -> 5*
0.16/0.31	    c0(1) -> 5*
0.16/0.31	    c0(3) -> 5*
0.16/0.31	    n__d3(107) -> 108*
0.16/0.31	    n__d3(131) -> 132*
0.16/0.31	    n__d3(123) -> 124*
0.16/0.31	    n__d3(125) -> 126*
0.16/0.31	    n__f0(2) -> 1*
0.16/0.31	    n__f0(1) -> 1*
0.16/0.31	    n__f0(3) -> 1*
0.16/0.31	    g0(2) -> 2*
0.16/0.31	    g0(1) -> 2*
0.16/0.31	    g0(3) -> 2*
0.16/0.31	    d0(2) -> 7*
0.16/0.31	    d0(1) -> 7*
0.16/0.31	    d0(3) -> 7*
0.16/0.31	    activate0(2) -> 8*
0.16/0.31	    activate0(1) -> 8*
0.16/0.31	    activate0(3) -> 8*
0.16/0.31	    h0(2) -> 6*
0.16/0.31	    h0(1) -> 6*
0.16/0.31	    h0(3) -> 6*
0.16/0.31	    n__d0(2) -> 3*
0.16/0.31	    n__d0(1) -> 3*
0.16/0.31	    n__d0(3) -> 3*
0.16/0.31	    1 -> 8,65,55,43,29,17
0.16/0.31	    2 -> 8,63,49,45,35,19
0.16/0.31	    3 -> 8,71,57,37,26,9
0.16/0.31	    9 -> 10*
0.16/0.31	    10 -> 91*
0.16/0.31	    11 -> 5*
0.16/0.31	    17 -> 18,10
0.16/0.31	    18 -> 10*
0.16/0.31	    19 -> 20*
0.16/0.31	    20 -> 10*
0.16/0.31	    26 -> 119*
0.16/0.31	    27 -> 76,7
0.16/0.31	    28 -> 6*
0.16/0.31	    29 -> 113*
0.16/0.31	    30 -> 27*
0.16/0.31	    35 -> 111*
0.16/0.31	    36 -> 27*
0.16/0.31	    38 -> 4*
0.16/0.31	    44 -> 4*
0.16/0.31	    46 -> 4*
0.16/0.31	    49 -> 83*
0.16/0.31	    50 -> 18,10,8
0.16/0.31	    55 -> 89*
0.16/0.31	    56 -> 18,10,8
0.16/0.31	    57 -> 81*
0.16/0.31	    58 -> 18,10,8
0.16/0.31	    63 -> 99*
0.16/0.31	    64 -> 10,8
0.16/0.31	    65 -> 105*
0.16/0.31	    66 -> 10,8
0.16/0.31	    71 -> 97*
0.16/0.31	    72 -> 10,8
0.16/0.31	    76 -> 77*
0.16/0.31	    77 -> 107*
0.16/0.31	    78 -> 28,6
0.16/0.31	    82 -> 58*
0.16/0.31	    84 -> 50,8
0.16/0.31	    90 -> 56,8
0.16/0.31	    92 -> 11*
0.16/0.31	    98 -> 72*
0.16/0.31	    100 -> 64,8
0.16/0.31	    106 -> 66,8
0.16/0.31	    108 -> 78,28
0.16/0.31	    111 -> 123*
0.16/0.31	    112 -> 77*
0.16/0.31	    113 -> 125*
0.16/0.31	    114 -> 77*
0.16/0.31	    119 -> 131*
0.16/0.31	    120 -> 77*
0.16/0.31	    124 -> 112*
0.16/0.31	    126 -> 114,77,107
0.16/0.31	    132 -> 120,77,107
0.16/0.31	  problem:
0.16/0.31	   
0.16/0.31	  Qed
0.16/0.32	EOF