YES(?,O(n^1))
1168.62/297.03	YES(?,O(n^1))
1168.62/297.03	
1168.62/297.03	We are left with following problem, upon which TcT provides the
1168.62/297.03	certificate YES(?,O(n^1)).
1168.62/297.03	
1168.62/297.03	Strict Trs: { b(a(b(a(a(x1))))) -> a(a(a(b(a(b(a(b(x1)))))))) }
1168.62/297.03	Obligation:
1168.62/297.03	  derivational complexity
1168.62/297.03	Answer:
1168.62/297.03	  YES(?,O(n^1))
1168.62/297.03	
1168.62/297.03	The problem is match-bounded by 5. The enriched problem is
1168.62/297.03	compatible with the following automaton.
1168.62/297.03	{ b_0(1) -> 1
1168.62/297.03	, b_1(1) -> 8
1168.62/297.03	, b_1(2) -> 8
1168.62/297.03	, b_1(3) -> 8
1168.62/297.03	, b_1(5) -> 4
1168.62/297.03	, b_1(7) -> 6
1168.62/297.03	, b_2(2) -> 22
1168.62/297.03	, b_2(3) -> 15
1168.62/297.03	, b_2(4) -> 15
1168.62/297.03	, b_2(9) -> 22
1168.62/297.03	, b_2(12) -> 11
1168.62/297.03	, b_2(14) -> 13
1168.62/297.03	, b_2(16) -> 22
1168.62/297.03	, b_2(19) -> 18
1168.62/297.03	, b_2(21) -> 20
1168.62/297.03	, b_3(9) -> 50
1168.62/297.03	, b_3(11) -> 29
1168.62/297.03	, b_3(16) -> 36
1168.62/297.03	, b_3(17) -> 43
1168.62/297.03	, b_3(18) -> 29
1168.62/297.03	, b_3(23) -> 50
1168.62/297.03	, b_3(26) -> 25
1168.62/297.03	, b_3(28) -> 27
1168.62/297.03	, b_3(33) -> 32
1168.62/297.03	, b_3(35) -> 34
1168.62/297.03	, b_3(40) -> 39
1168.62/297.03	, b_3(42) -> 41
1168.62/297.03	, b_3(47) -> 46
1168.62/297.03	, b_3(49) -> 48
1168.62/297.03	, b_4(23) -> 64
1168.62/297.03	, b_4(25) -> 71
1168.62/297.03	, b_4(31) -> 57
1168.62/297.03	, b_4(44) -> 78
1168.62/297.03	, b_4(46) -> 85
1168.62/297.03	, b_4(54) -> 53
1168.62/297.03	, b_4(56) -> 55
1168.62/297.03	, b_4(61) -> 60
1168.62/297.03	, b_4(63) -> 62
1168.62/297.03	, b_4(68) -> 67
1168.62/297.03	, b_4(70) -> 69
1168.62/297.03	, b_4(75) -> 74
1168.62/297.03	, b_4(77) -> 76
1168.62/297.03	, b_4(82) -> 81
1168.62/297.03	, b_4(84) -> 83
1168.62/297.03	, b_5(58) -> 92
1168.62/297.03	, b_5(60) -> 99
1168.62/297.03	, b_5(89) -> 88
1168.62/297.03	, b_5(91) -> 90
1168.62/297.03	, b_5(96) -> 95
1168.62/297.03	, b_5(98) -> 97
1168.62/297.03	, a_0(1) -> 1
1168.62/297.03	, a_1(2) -> 1
1168.62/297.03	, a_1(2) -> 6
1168.62/297.03	, a_1(2) -> 8
1168.62/297.03	, a_1(3) -> 2
1168.62/297.03	, a_1(4) -> 3
1168.62/297.03	, a_1(6) -> 5
1168.62/297.03	, a_1(8) -> 7
1168.62/297.03	, a_2(9) -> 6
1168.62/297.03	, a_2(9) -> 20
1168.62/297.03	, a_2(10) -> 9
1168.62/297.03	, a_2(11) -> 10
1168.62/297.03	, a_2(13) -> 12
1168.62/297.03	, a_2(15) -> 14
1168.62/297.03	, a_2(16) -> 4
1168.62/297.03	, a_2(16) -> 6
1168.62/297.03	, a_2(16) -> 8
1168.62/297.03	, a_2(16) -> 13
1168.62/297.03	, a_2(16) -> 15
1168.62/297.03	, a_2(17) -> 16
1168.62/297.03	, a_2(18) -> 17
1168.62/297.03	, a_2(20) -> 19
1168.62/297.03	, a_2(22) -> 21
1168.62/297.03	, a_3(23) -> 20
1168.62/297.03	, a_3(23) -> 34
1168.62/297.03	, a_3(23) -> 48
1168.62/297.03	, a_3(24) -> 23
1168.62/297.03	, a_3(25) -> 24
1168.62/297.03	, a_3(27) -> 26
1168.62/297.03	, a_3(29) -> 28
1168.62/297.03	, a_3(30) -> 11
1168.62/297.03	, a_3(31) -> 30
1168.62/297.03	, a_3(32) -> 31
1168.62/297.03	, a_3(34) -> 33
1168.62/297.03	, a_3(36) -> 35
1168.62/297.03	, a_3(37) -> 13
1168.62/297.03	, a_3(38) -> 37
1168.62/297.03	, a_3(39) -> 38
1168.62/297.03	, a_3(41) -> 40
1168.62/297.03	, a_3(43) -> 42
1168.62/297.03	, a_3(44) -> 43
1168.62/297.03	, a_3(45) -> 44
1168.62/297.03	, a_3(46) -> 45
1168.62/297.03	, a_3(48) -> 47
1168.62/297.03	, a_3(50) -> 49
1168.62/297.03	, a_4(51) -> 27
1168.62/297.03	, a_4(52) -> 51
1168.62/297.03	, a_4(53) -> 52
1168.62/297.03	, a_4(55) -> 54
1168.62/297.03	, a_4(57) -> 56
1168.62/297.03	, a_4(58) -> 57
1168.62/297.03	, a_4(59) -> 58
1168.62/297.03	, a_4(60) -> 59
1168.62/297.03	, a_4(62) -> 61
1168.62/297.03	, a_4(64) -> 63
1168.62/297.03	, a_4(65) -> 48
1168.62/297.03	, a_4(65) -> 62
1168.62/297.03	, a_4(66) -> 65
1168.62/297.03	, a_4(67) -> 66
1168.62/297.03	, a_4(69) -> 68
1168.62/297.03	, a_4(71) -> 70
1168.62/297.03	, a_4(72) -> 39
1168.62/297.03	, a_4(73) -> 72
1168.62/297.03	, a_4(74) -> 73
1168.62/297.03	, a_4(76) -> 75
1168.62/297.03	, a_4(78) -> 77
1168.62/297.03	, a_4(79) -> 76
1168.62/297.03	, a_4(80) -> 79
1168.62/297.03	, a_4(81) -> 80
1168.62/297.03	, a_4(83) -> 82
1168.62/297.03	, a_4(85) -> 84
1168.62/297.03	, a_5(86) -> 53
1168.62/297.03	, a_5(87) -> 86
1168.62/297.03	, a_5(88) -> 87
1168.62/297.03	, a_5(90) -> 89
1168.62/297.03	, a_5(92) -> 91
1168.62/297.03	, a_5(93) -> 90
1168.62/297.03	, a_5(94) -> 93
1168.62/297.03	, a_5(95) -> 94
1168.62/297.03	, a_5(97) -> 96
1168.62/297.03	, a_5(99) -> 98 }
1168.62/297.03	
1168.62/297.03	Hurray, we answered YES(?,O(n^1))
1169.28/297.64	EOF