YES(?,O(n^1))
178.04/101.60	YES(?,O(n^1))
178.04/101.60	
178.04/101.60	We are left with following problem, upon which TcT provides the
178.04/101.60	certificate YES(?,O(n^1)).
178.04/101.60	
178.04/101.60	Strict Trs:
178.04/101.60	  { f(X) -> n__f(X)
178.04/101.60	  , f(f(a())) -> f(g(n__f(n__a())))
178.04/101.60	  , a() -> n__a()
178.04/101.60	  , activate(X) -> X
178.04/101.60	  , activate(n__f(X)) -> f(activate(X))
178.04/101.60	  , activate(n__a()) -> a() }
178.04/101.60	Obligation:
178.04/101.60	  runtime complexity
178.04/101.60	Answer:
178.04/101.60	  YES(?,O(n^1))
178.04/101.60	
178.04/101.60	The problem is match-bounded by 3. The enriched problem is
178.04/101.60	compatible with the following automaton.
178.04/101.60	{ f_0(3) -> 1
178.04/101.60	, f_0(4) -> 1
178.04/101.60	, f_0(5) -> 1
178.04/101.60	, f_1(7) -> 6
178.04/101.60	, f_1(7) -> 7
178.04/101.60	, f_2(8) -> 6
178.04/101.60	, f_2(8) -> 7
178.04/101.60	, a_0() -> 2
178.04/101.60	, a_1() -> 6
178.04/101.60	, a_1() -> 7
178.04/101.60	, g_0(3) -> 3
178.04/101.60	, g_0(3) -> 6
178.04/101.60	, g_0(3) -> 7
178.04/101.60	, g_0(4) -> 3
178.04/101.60	, g_0(4) -> 6
178.04/101.60	, g_0(4) -> 7
178.04/101.60	, g_0(5) -> 3
178.04/101.60	, g_0(5) -> 6
178.04/101.60	, g_0(5) -> 7
178.04/101.60	, g_2(7) -> 8
178.04/101.60	, n__f_0(3) -> 4
178.04/101.60	, n__f_0(3) -> 6
178.04/101.60	, n__f_0(3) -> 7
178.04/101.60	, n__f_0(4) -> 4
178.04/101.60	, n__f_0(4) -> 6
178.04/101.60	, n__f_0(4) -> 7
178.04/101.60	, n__f_0(5) -> 4
178.04/101.60	, n__f_0(5) -> 6
178.04/101.60	, n__f_0(5) -> 7
178.04/101.60	, n__f_1(3) -> 1
178.04/101.60	, n__f_1(4) -> 1
178.04/101.60	, n__f_1(5) -> 1
178.04/101.60	, n__f_2(7) -> 6
178.04/101.60	, n__f_2(7) -> 7
178.04/101.60	, n__f_3(8) -> 6
178.04/101.60	, n__f_3(8) -> 7
178.04/101.60	, n__a_0() -> 5
178.04/101.60	, n__a_0() -> 6
178.04/101.60	, n__a_0() -> 7
178.04/101.60	, n__a_1() -> 2
178.04/101.60	, n__a_2() -> 6
178.04/101.60	, n__a_2() -> 7
178.04/101.60	, activate_0(3) -> 6
178.04/101.60	, activate_0(4) -> 6
178.04/101.60	, activate_0(5) -> 6
178.04/101.60	, activate_1(3) -> 7
178.04/101.60	, activate_1(4) -> 7
178.04/101.60	, activate_1(5) -> 7 }
178.04/101.60	
178.04/101.60	Hurray, we answered YES(?,O(n^1))
178.15/101.78	EOF