YES(?,O(n^1))
1181.68/297.05	YES(?,O(n^1))
1181.68/297.05	
1181.68/297.05	We are left with following problem, upon which TcT provides the
1181.68/297.05	certificate YES(?,O(n^1)).
1181.68/297.05	
1181.68/297.05	Strict Trs: { b(a(b(a(a(x1))))) -> a(a(b(b(a(b(a(b(a(x1))))))))) }
1181.68/297.05	Obligation:
1181.68/297.05	  derivational complexity
1181.68/297.05	Answer:
1181.68/297.05	  YES(?,O(n^1))
1181.68/297.05	
1181.68/297.05	The problem is match-bounded by 4. The enriched problem is
1181.68/297.05	compatible with the following automaton.
1181.68/297.05	{ b_0(1) -> 1
1181.68/297.05	, b_1(2) -> 8
1181.68/297.05	, b_1(4) -> 3
1181.68/297.05	, b_1(5) -> 4
1181.68/297.05	, b_1(7) -> 6
1181.68/297.05	, b_1(8) -> 8
1181.68/297.05	, b_1(9) -> 8
1181.68/297.05	, b_2(10) -> 24
1181.68/297.05	, b_2(12) -> 11
1181.68/297.05	, b_2(13) -> 12
1181.68/297.05	, b_2(15) -> 14
1181.68/297.05	, b_2(16) -> 16
1181.68/297.05	, b_2(17) -> 16
1181.68/297.05	, b_2(18) -> 16
1181.68/297.05	, b_2(20) -> 19
1181.68/297.05	, b_2(21) -> 20
1181.68/297.05	, b_2(23) -> 22
1181.68/297.05	, b_3(24) -> 54
1181.68/297.05	, b_3(25) -> 47
1181.68/297.05	, b_3(27) -> 26
1181.68/297.05	, b_3(28) -> 27
1181.68/297.05	, b_3(30) -> 29
1181.68/297.05	, b_3(32) -> 31
1181.68/297.05	, b_3(35) -> 34
1181.68/297.05	, b_3(36) -> 35
1181.68/297.05	, b_3(38) -> 37
1181.68/297.05	, b_3(39) -> 31
1181.68/297.05	, b_3(40) -> 39
1181.68/297.05	, b_3(43) -> 42
1181.68/297.05	, b_3(44) -> 43
1181.68/297.05	, b_3(46) -> 45
1181.68/297.05	, b_3(48) -> 61
1181.68/297.05	, b_3(50) -> 49
1181.68/297.05	, b_3(51) -> 50
1181.68/297.05	, b_3(53) -> 52
1181.68/297.05	, b_3(55) -> 39
1181.68/297.05	, b_3(57) -> 56
1181.68/297.05	, b_3(58) -> 57
1181.68/297.05	, b_3(60) -> 59
1181.68/297.05	, b_4(64) -> 63
1181.68/297.05	, b_4(65) -> 64
1181.68/297.05	, b_4(67) -> 66
1181.68/297.05	, b_4(69) -> 68
1181.68/297.05	, b_4(72) -> 71
1181.68/297.05	, b_4(73) -> 72
1181.68/297.05	, b_4(75) -> 74
1181.68/297.05	, b_4(77) -> 76
1181.68/297.05	, b_4(80) -> 79
1181.68/297.05	, b_4(81) -> 80
1181.68/297.05	, b_4(83) -> 82
1181.68/297.05	, b_4(85) -> 84
1181.68/297.05	, a_0(1) -> 1
1181.68/297.05	, a_1(1) -> 9
1181.68/297.05	, a_1(2) -> 1
1181.68/297.05	, a_1(2) -> 6
1181.68/297.05	, a_1(2) -> 8
1181.68/297.05	, a_1(3) -> 2
1181.68/297.05	, a_1(6) -> 5
1181.68/297.05	, a_1(8) -> 7
1181.68/297.05	, a_2(2) -> 17
1181.68/297.05	, a_2(3) -> 17
1181.68/297.05	, a_2(10) -> 4
1181.68/297.05	, a_2(10) -> 6
1181.68/297.05	, a_2(10) -> 14
1181.68/297.05	, a_2(11) -> 10
1181.68/297.05	, a_2(14) -> 13
1181.68/297.05	, a_2(16) -> 15
1181.68/297.05	, a_2(18) -> 8
1181.68/297.05	, a_2(18) -> 16
1181.68/297.05	, a_2(19) -> 18
1181.68/297.05	, a_2(22) -> 21
1181.68/297.05	, a_2(24) -> 23
1181.68/297.05	, a_3(18) -> 32
1181.68/297.05	, a_3(19) -> 40
1181.68/297.05	, a_3(25) -> 12
1181.68/297.05	, a_3(26) -> 25
1181.68/297.05	, a_3(29) -> 28
1181.68/297.05	, a_3(31) -> 30
1181.68/297.05	, a_3(33) -> 14
1181.68/297.05	, a_3(33) -> 29
1181.68/297.05	, a_3(34) -> 33
1181.68/297.05	, a_3(37) -> 36
1181.68/297.05	, a_3(39) -> 38
1181.68/297.05	, a_3(41) -> 24
1181.68/297.05	, a_3(42) -> 41
1181.68/297.05	, a_3(45) -> 44
1181.68/297.05	, a_3(47) -> 46
1181.68/297.05	, a_3(48) -> 20
1181.68/297.05	, a_3(49) -> 48
1181.68/297.05	, a_3(52) -> 51
1181.68/297.05	, a_3(54) -> 53
1181.68/297.05	, a_3(55) -> 16
1181.68/297.05	, a_3(55) -> 39
1181.68/297.05	, a_3(56) -> 55
1181.68/297.05	, a_3(59) -> 58
1181.68/297.05	, a_3(61) -> 60
1181.68/297.05	, a_4(42) -> 69
1181.68/297.05	, a_4(55) -> 77
1181.68/297.05	, a_4(56) -> 85
1181.68/297.05	, a_4(62) -> 52
1181.68/297.05	, a_4(63) -> 62
1181.68/297.05	, a_4(66) -> 65
1181.68/297.05	, a_4(68) -> 67
1181.68/297.05	, a_4(70) -> 35
1181.68/297.05	, a_4(71) -> 70
1181.68/297.05	, a_4(74) -> 73
1181.68/297.05	, a_4(76) -> 75
1181.68/297.05	, a_4(78) -> 29
1181.68/297.05	, a_4(78) -> 74
1181.68/297.05	, a_4(79) -> 78
1181.68/297.05	, a_4(82) -> 81
1181.68/297.05	, a_4(84) -> 83 }
1181.68/297.05	
1181.68/297.05	Hurray, we answered YES(?,O(n^1))
1182.40/297.63	EOF