YES(?,O(n^1))
760.43/297.11	YES(?,O(n^1))
760.43/297.11	
760.43/297.11	We are left with following problem, upon which TcT provides the
760.43/297.11	certificate YES(?,O(n^1)).
760.43/297.11	
760.43/297.11	Strict Trs:
760.43/297.11	  { active(zeros()) -> mark(cons(0(), zeros()))
760.43/297.11	  , active(cons(X1, X2)) -> cons(active(X1), X2)
760.43/297.11	  , active(tail(X)) -> tail(active(X))
760.43/297.11	  , active(tail(cons(X, XS))) -> mark(XS)
760.43/297.11	  , cons(mark(X1), X2) -> mark(cons(X1, X2))
760.43/297.11	  , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2))
760.43/297.11	  , tail(mark(X)) -> mark(tail(X))
760.43/297.11	  , tail(ok(X)) -> ok(tail(X))
760.43/297.11	  , proper(zeros()) -> ok(zeros())
760.43/297.11	  , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2))
760.43/297.11	  , proper(0()) -> ok(0())
760.43/297.11	  , proper(tail(X)) -> tail(proper(X))
760.43/297.11	  , top(mark(X)) -> top(proper(X))
760.43/297.11	  , top(ok(X)) -> top(active(X)) }
760.43/297.11	Obligation:
760.43/297.11	  runtime complexity
760.43/297.11	Answer:
760.43/297.11	  YES(?,O(n^1))
760.43/297.11	
760.43/297.11	The problem is match-bounded by 5. The enriched problem is
760.43/297.11	compatible with the following automaton.
760.43/297.11	{ active_0(2) -> 1
760.43/297.11	, active_0(3) -> 1
760.43/297.11	, active_0(5) -> 1
760.43/297.11	, active_0(8) -> 1
760.43/297.11	, active_1(2) -> 15
760.43/297.11	, active_1(3) -> 15
760.43/297.11	, active_1(5) -> 15
760.43/297.11	, active_1(8) -> 15
760.43/297.11	, active_2(11) -> 16
760.43/297.11	, active_2(12) -> 16
760.43/297.11	, active_3(26) -> 22
760.43/297.11	, active_4(18) -> 28
760.43/297.11	, active_4(29) -> 30
760.43/297.11	, active_5(25) -> 31
760.43/297.11	, zeros_0() -> 2
760.43/297.11	, zeros_1() -> 12
760.43/297.11	, zeros_2() -> 19
760.43/297.11	, zeros_3() -> 27
760.43/297.11	, mark_0(2) -> 3
760.43/297.11	, mark_0(3) -> 3
760.43/297.11	, mark_0(5) -> 3
760.43/297.11	, mark_0(8) -> 3
760.43/297.11	, mark_1(10) -> 1
760.43/297.11	, mark_1(10) -> 15
760.43/297.11	, mark_1(13) -> 4
760.43/297.11	, mark_1(13) -> 13
760.43/297.11	, mark_1(14) -> 6
760.43/297.11	, mark_1(14) -> 14
760.43/297.11	, mark_2(17) -> 16
760.43/297.11	, cons_0(2, 2) -> 4
760.43/297.11	, cons_0(2, 3) -> 4
760.43/297.11	, cons_0(2, 5) -> 4
760.43/297.11	, cons_0(2, 8) -> 4
760.43/297.11	, cons_0(3, 2) -> 4
760.43/297.11	, cons_0(3, 3) -> 4
760.43/297.11	, cons_0(3, 5) -> 4
760.43/297.11	, cons_0(3, 8) -> 4
760.43/297.11	, cons_0(5, 2) -> 4
760.43/297.11	, cons_0(5, 3) -> 4
760.43/297.11	, cons_0(5, 5) -> 4
760.43/297.11	, cons_0(5, 8) -> 4
760.43/297.11	, cons_0(8, 2) -> 4
760.43/297.11	, cons_0(8, 3) -> 4
760.43/297.11	, cons_0(8, 5) -> 4
760.43/297.11	, cons_0(8, 8) -> 4
760.43/297.11	, cons_1(2, 2) -> 13
760.43/297.11	, cons_1(2, 3) -> 13
760.43/297.11	, cons_1(2, 5) -> 13
760.43/297.11	, cons_1(2, 8) -> 13
760.43/297.11	, cons_1(3, 2) -> 13
760.43/297.11	, cons_1(3, 3) -> 13
760.43/297.11	, cons_1(3, 5) -> 13
760.43/297.11	, cons_1(3, 8) -> 13
760.43/297.11	, cons_1(5, 2) -> 13
760.43/297.11	, cons_1(5, 3) -> 13
760.43/297.11	, cons_1(5, 5) -> 13
760.43/297.11	, cons_1(5, 8) -> 13
760.43/297.11	, cons_1(8, 2) -> 13
760.43/297.11	, cons_1(8, 3) -> 13
760.43/297.11	, cons_1(8, 5) -> 13
760.43/297.11	, cons_1(8, 8) -> 13
760.43/297.11	, cons_1(11, 12) -> 10
760.43/297.11	, cons_2(18, 19) -> 17
760.43/297.11	, cons_2(20, 21) -> 16
760.43/297.11	, cons_3(18, 19) -> 26
760.43/297.11	, cons_3(23, 24) -> 22
760.43/297.11	, cons_4(25, 27) -> 29
760.43/297.11	, cons_4(28, 19) -> 22
760.43/297.11	, cons_5(31, 27) -> 30
760.43/297.11	, 0_0() -> 5
760.43/297.11	, 0_1() -> 11
760.43/297.11	, 0_2() -> 18
760.43/297.11	, 0_3() -> 25
760.43/297.11	, tail_0(2) -> 6
760.43/297.11	, tail_0(3) -> 6
760.43/297.11	, tail_0(5) -> 6
760.43/297.11	, tail_0(8) -> 6
760.43/297.11	, tail_1(2) -> 14
760.43/297.11	, tail_1(3) -> 14
760.43/297.11	, tail_1(5) -> 14
760.43/297.11	, tail_1(8) -> 14
760.43/297.11	, proper_0(2) -> 7
760.43/297.11	, proper_0(3) -> 7
760.43/297.11	, proper_0(5) -> 7
760.43/297.11	, proper_0(8) -> 7
760.43/297.11	, proper_1(2) -> 15
760.43/297.11	, proper_1(3) -> 15
760.43/297.11	, proper_1(5) -> 15
760.43/297.11	, proper_1(8) -> 15
760.43/297.11	, proper_2(10) -> 16
760.43/297.11	, proper_2(11) -> 20
760.43/297.11	, proper_2(12) -> 21
760.43/297.11	, proper_3(17) -> 22
760.43/297.11	, proper_3(18) -> 23
760.43/297.11	, proper_3(19) -> 24
760.43/297.11	, ok_0(2) -> 8
760.43/297.11	, ok_0(3) -> 8
760.43/297.11	, ok_0(5) -> 8
760.43/297.11	, ok_0(8) -> 8
760.43/297.11	, ok_1(11) -> 7
760.43/297.11	, ok_1(11) -> 15
760.43/297.11	, ok_1(12) -> 7
760.43/297.11	, ok_1(12) -> 15
760.43/297.11	, ok_1(13) -> 4
760.43/297.11	, ok_1(13) -> 13
760.43/297.11	, ok_1(14) -> 6
760.43/297.11	, ok_1(14) -> 14
760.43/297.11	, ok_2(18) -> 20
760.43/297.11	, ok_2(19) -> 21
760.43/297.11	, ok_3(25) -> 23
760.43/297.11	, ok_3(26) -> 16
760.43/297.11	, ok_3(27) -> 24
760.43/297.11	, ok_4(29) -> 22
760.43/297.11	, top_0(2) -> 9
760.43/297.11	, top_0(3) -> 9
760.43/297.11	, top_0(5) -> 9
760.43/297.11	, top_0(8) -> 9
760.43/297.11	, top_1(15) -> 9
760.43/297.11	, top_2(16) -> 9
760.43/297.11	, top_3(22) -> 9
760.43/297.11	, top_4(30) -> 9 }
760.43/297.11	
760.43/297.11	Hurray, we answered YES(?,O(n^1))
760.43/297.14	EOF