YES(?,O(n^1))
0.16/0.35	YES(?,O(n^1))
0.16/0.35	
0.16/0.35	Problem:
0.16/0.35	 active(f(f(a()))) -> mark(c(f(g(f(a())))))
0.16/0.35	 active(f(X)) -> f(active(X))
0.16/0.35	 active(g(X)) -> g(active(X))
0.16/0.35	 f(mark(X)) -> mark(f(X))
0.16/0.35	 g(mark(X)) -> mark(g(X))
0.16/0.35	 proper(f(X)) -> f(proper(X))
0.16/0.35	 proper(a()) -> ok(a())
0.16/0.35	 proper(c(X)) -> c(proper(X))
0.16/0.35	 proper(g(X)) -> g(proper(X))
0.16/0.35	 f(ok(X)) -> ok(f(X))
0.16/0.35	 c(ok(X)) -> ok(c(X))
0.16/0.35	 g(ok(X)) -> ok(g(X))
0.16/0.35	 top(mark(X)) -> top(proper(X))
0.16/0.35	 top(ok(X)) -> top(active(X))
0.16/0.35	
0.16/0.35	Proof:
0.16/0.35	 Bounds Processor:
0.16/0.35	  bound: 2
0.16/0.35	  enrichment: match
0.16/0.35	  automaton:
0.16/0.35	   final states: {9,8,7,6,5,4}
0.16/0.35	   transitions:
0.16/0.35	    top1(68) -> 69*
0.16/0.35	    active1(84) -> 85*
0.16/0.35	    active1(86) -> 87*
0.16/0.35	    active1(78) -> 79*
0.16/0.35	    proper1(70) -> 71*
0.16/0.35	    proper1(67) -> 68*
0.16/0.35	    proper1(76) -> 77*
0.16/0.35	    ok1(60) -> 61*
0.16/0.35	    ok1(50) -> 51*
0.16/0.35	    ok1(40) -> 41*
0.16/0.35	    ok1(42) -> 43*
0.16/0.35	    g1(32) -> 33*
0.16/0.35	    g1(34) -> 35*
0.16/0.35	    g1(24) -> 25*
0.16/0.35	    c1(52) -> 53*
0.16/0.35	    c1(49) -> 50*
0.16/0.35	    c1(58) -> 59*
0.16/0.35	    f1(22) -> 23*
0.16/0.35	    f1(16) -> 17*
0.16/0.35	    f1(13) -> 14*
0.16/0.35	    a1() -> 40*
0.16/0.35	    mark1(25) -> 26*
0.16/0.35	    mark1(14) -> 15*
0.16/0.35	    top2(94) -> 95*
0.16/0.35	    active0(2) -> 4*
0.16/0.35	    active0(1) -> 4*
0.16/0.35	    active0(3) -> 4*
0.16/0.35	    active2(93) -> 94*
0.16/0.35	    f0(2) -> 5*
0.16/0.35	    f0(1) -> 5*
0.16/0.35	    f0(3) -> 5*
0.16/0.35	    a0() -> 1*
0.16/0.35	    mark0(2) -> 2*
0.16/0.35	    mark0(1) -> 2*
0.16/0.35	    mark0(3) -> 2*
0.16/0.35	    c0(2) -> 8*
0.16/0.35	    c0(1) -> 8*
0.16/0.35	    c0(3) -> 8*
0.16/0.35	    g0(2) -> 6*
0.16/0.35	    g0(1) -> 6*
0.16/0.35	    g0(3) -> 6*
0.16/0.35	    proper0(2) -> 7*
0.16/0.35	    proper0(1) -> 7*
0.16/0.35	    proper0(3) -> 7*
0.16/0.35	    ok0(2) -> 3*
0.16/0.35	    ok0(1) -> 3*
0.16/0.35	    ok0(3) -> 3*
0.16/0.35	    top0(2) -> 9*
0.16/0.35	    top0(1) -> 9*
0.16/0.35	    top0(3) -> 9*
0.16/0.35	    1 -> 84,70,52,32,16
0.16/0.35	    2 -> 78,67,49,24,13
0.16/0.35	    3 -> 86,76,58,34,22
0.16/0.35	    14 -> 42*
0.16/0.35	    15 -> 14,42,5
0.16/0.35	    17 -> 14*
0.16/0.35	    23 -> 14*
0.16/0.35	    25 -> 60*
0.16/0.35	    26 -> 25,60,6
0.16/0.35	    33 -> 25*
0.16/0.35	    35 -> 25*
0.16/0.35	    40 -> 93*
0.16/0.35	    41 -> 71,68,7
0.16/0.35	    43 -> 23,14,42,5
0.16/0.35	    51 -> 59,50,8
0.16/0.35	    53 -> 50*
0.16/0.35	    59 -> 50*
0.16/0.35	    61 -> 35,25,60,6
0.16/0.35	    69 -> 9*
0.16/0.35	    71 -> 68*
0.16/0.35	    77 -> 68*
0.16/0.35	    79 -> 68*
0.16/0.35	    85 -> 68*
0.16/0.35	    87 -> 68*
0.16/0.35	    95 -> 69,9
0.16/0.35	  problem:
0.16/0.35	   
0.16/0.35	  Qed
0.16/0.36	EOF