YES(?,O(n^1))
11.79/4.17	YES(?,O(n^1))
11.79/4.17	
11.79/4.17	We are left with following problem, upon which TcT provides the
11.79/4.17	certificate YES(?,O(n^1)).
11.79/4.17	
11.79/4.17	Strict Trs:
11.79/4.17	  { f(X) -> n__f(X)
11.79/4.17	  , f(f(X)) -> c(n__f(n__g(n__f(X))))
11.79/4.17	  , c(X) -> d(activate(X))
11.79/4.17	  , d(X) -> n__d(X)
11.79/4.17	  , activate(X) -> X
11.79/4.17	  , activate(n__f(X)) -> f(activate(X))
11.79/4.17	  , activate(n__g(X)) -> g(X)
11.79/4.17	  , activate(n__d(X)) -> d(X)
11.79/4.17	  , h(X) -> c(n__d(X))
11.79/4.17	  , g(X) -> n__g(X) }
11.79/4.17	Obligation:
11.79/4.17	  runtime complexity
11.79/4.17	Answer:
11.79/4.17	  YES(?,O(n^1))
11.79/4.17	
11.79/4.17	The problem is match-bounded by 4. The enriched problem is
11.79/4.17	compatible with the following automaton.
11.79/4.17	{ f_0(3) -> 1
11.79/4.17	, f_0(4) -> 1
11.79/4.17	, f_0(8) -> 1
11.79/4.17	, f_1(10) -> 6
11.79/4.17	, f_1(10) -> 10
11.79/4.17	, f_3(15) -> 14
11.79/4.17	, c_0(3) -> 2
11.79/4.17	, c_0(4) -> 2
11.79/4.17	, c_0(8) -> 2
11.79/4.17	, c_1(5) -> 7
11.79/4.17	, c_2(11) -> 6
11.79/4.17	, c_2(11) -> 10
11.79/4.17	, n__f_0(3) -> 3
11.79/4.17	, n__f_0(3) -> 6
11.79/4.17	, n__f_0(3) -> 10
11.79/4.17	, n__f_0(4) -> 3
11.79/4.17	, n__f_0(4) -> 6
11.79/4.17	, n__f_0(4) -> 10
11.79/4.17	, n__f_0(8) -> 3
11.79/4.17	, n__f_0(8) -> 6
11.79/4.17	, n__f_0(8) -> 10
11.79/4.17	, n__f_1(3) -> 1
11.79/4.17	, n__f_1(4) -> 1
11.79/4.17	, n__f_1(8) -> 1
11.79/4.17	, n__f_2(10) -> 6
11.79/4.17	, n__f_2(10) -> 10
11.79/4.17	, n__f_2(12) -> 11
11.79/4.17	, n__f_2(12) -> 14
11.79/4.17	, n__f_4(15) -> 14
11.79/4.17	, n__g_0(3) -> 4
11.79/4.17	, n__g_0(3) -> 6
11.79/4.17	, n__g_0(3) -> 10
11.79/4.17	, n__g_0(4) -> 4
11.79/4.17	, n__g_0(4) -> 6
11.79/4.17	, n__g_0(4) -> 10
11.79/4.17	, n__g_0(8) -> 4
11.79/4.17	, n__g_0(8) -> 6
11.79/4.17	, n__g_0(8) -> 10
11.79/4.17	, n__g_1(3) -> 9
11.79/4.17	, n__g_1(4) -> 9
11.79/4.17	, n__g_1(8) -> 9
11.79/4.17	, n__g_2(3) -> 6
11.79/4.17	, n__g_2(3) -> 10
11.79/4.17	, n__g_2(4) -> 6
11.79/4.17	, n__g_2(4) -> 10
11.79/4.17	, n__g_2(8) -> 6
11.79/4.17	, n__g_2(8) -> 10
11.79/4.17	, n__g_2(10) -> 12
11.79/4.17	, n__g_2(10) -> 15
11.79/4.17	, n__g_4(10) -> 15
11.79/4.17	, d_0(3) -> 5
11.79/4.17	, d_0(3) -> 13
11.79/4.17	, d_0(4) -> 5
11.79/4.17	, d_0(4) -> 13
11.79/4.17	, d_0(8) -> 5
11.79/4.17	, d_0(8) -> 13
11.79/4.17	, d_1(3) -> 6
11.79/4.17	, d_1(3) -> 10
11.79/4.17	, d_1(4) -> 6
11.79/4.17	, d_1(4) -> 10
11.79/4.17	, d_1(8) -> 6
11.79/4.17	, d_1(8) -> 10
11.79/4.17	, d_1(10) -> 2
11.79/4.17	, d_2(3) -> 13
11.79/4.17	, d_2(4) -> 13
11.79/4.17	, d_2(8) -> 13
11.79/4.17	, d_2(13) -> 7
11.79/4.17	, d_3(14) -> 6
11.79/4.17	, d_3(14) -> 10
11.79/4.17	, activate_0(3) -> 6
11.79/4.17	, activate_0(4) -> 6
11.79/4.17	, activate_0(8) -> 6
11.79/4.17	, activate_1(3) -> 10
11.79/4.17	, activate_1(4) -> 10
11.79/4.17	, activate_1(8) -> 10
11.79/4.17	, activate_2(5) -> 13
11.79/4.17	, activate_3(11) -> 14
11.79/4.17	, activate_3(12) -> 15
11.79/4.17	, h_0(3) -> 7
11.79/4.17	, h_0(4) -> 7
11.79/4.17	, h_0(8) -> 7
11.79/4.17	, n__d_0(3) -> 6
11.79/4.17	, n__d_0(3) -> 8
11.79/4.17	, n__d_0(3) -> 10
11.79/4.17	, n__d_0(4) -> 6
11.79/4.17	, n__d_0(4) -> 8
11.79/4.17	, n__d_0(4) -> 10
11.79/4.17	, n__d_0(8) -> 6
11.79/4.17	, n__d_0(8) -> 8
11.79/4.17	, n__d_0(8) -> 10
11.79/4.17	, n__d_1(3) -> 5
11.79/4.17	, n__d_1(3) -> 13
11.79/4.17	, n__d_1(4) -> 5
11.79/4.17	, n__d_1(4) -> 13
11.79/4.17	, n__d_1(8) -> 5
11.79/4.17	, n__d_1(8) -> 13
11.79/4.17	, n__d_2(3) -> 6
11.79/4.17	, n__d_2(3) -> 10
11.79/4.17	, n__d_2(4) -> 6
11.79/4.17	, n__d_2(4) -> 10
11.79/4.17	, n__d_2(8) -> 6
11.79/4.17	, n__d_2(8) -> 10
11.79/4.17	, n__d_2(10) -> 2
11.79/4.17	, n__d_3(3) -> 13
11.79/4.17	, n__d_3(4) -> 13
11.79/4.17	, n__d_3(8) -> 13
11.79/4.17	, n__d_3(13) -> 7
11.79/4.17	, n__d_4(14) -> 6
11.79/4.17	, n__d_4(14) -> 10
11.79/4.17	, g_0(3) -> 9
11.79/4.17	, g_0(4) -> 9
11.79/4.17	, g_0(8) -> 9
11.79/4.17	, g_1(3) -> 6
11.79/4.17	, g_1(3) -> 10
11.79/4.17	, g_1(4) -> 6
11.79/4.17	, g_1(4) -> 10
11.79/4.17	, g_1(8) -> 6
11.79/4.17	, g_1(8) -> 10
11.79/4.17	, g_3(10) -> 15 }
11.79/4.17	
11.79/4.17	Hurray, we answered YES(?,O(n^1))
11.79/4.18	EOF