Tool Bounds
stdout:
YES(?,O(n^1))
We consider the following Problem:
Strict Trs: {a(a(a(b(b(x1))))) -> b(b(b(b(b(a(a(a(a(a(x1))))))))))}
StartTerms: all
Strategy: none
Certificate: YES(?,O(n^1))
Proof:
The problem is match-bounded by 5.
The enriched problem is compatible with the following automaton:
{ b_0(1) -> 1
, b_0(2) -> 1
, b_1(3) -> 2
, b_1(3) -> 9
, b_1(3) -> 10
, b_1(3) -> 11
, b_1(4) -> 3
, b_1(5) -> 4
, b_1(6) -> 5
, b_1(7) -> 6
, b_2(12) -> 7
, b_2(12) -> 8
, b_2(12) -> 9
, b_2(12) -> 18
, b_2(12) -> 20
, b_2(13) -> 12
, b_2(14) -> 13
, b_2(15) -> 14
, b_2(16) -> 15
, b_2(21) -> 19
, b_2(21) -> 20
, b_2(22) -> 21
, b_2(23) -> 22
, b_2(24) -> 23
, b_2(25) -> 24
, b_3(30) -> 17
, b_3(30) -> 18
, b_3(30) -> 47
, b_3(31) -> 30
, b_3(32) -> 31
, b_3(33) -> 32
, b_3(34) -> 33
, b_3(39) -> 27
, b_3(39) -> 36
, b_3(40) -> 39
, b_3(41) -> 40
, b_3(42) -> 41
, b_3(43) -> 42
, b_3(48) -> 16
, b_3(48) -> 17
, b_3(49) -> 48
, b_3(50) -> 49
, b_3(51) -> 50
, b_3(52) -> 51
, b_3(57) -> 54
, b_3(58) -> 57
, b_3(59) -> 58
, b_3(60) -> 59
, b_3(61) -> 60
, b_3(66) -> 46
, b_3(66) -> 47
, b_3(67) -> 66
, b_3(68) -> 67
, b_3(69) -> 68
, b_3(70) -> 69
, b_3(75) -> 45
, b_3(76) -> 75
, b_3(77) -> 76
, b_3(78) -> 77
, b_3(79) -> 78
, b_4(84) -> 45
, b_4(85) -> 84
, b_4(86) -> 85
, b_4(87) -> 86
, b_4(88) -> 87
, b_4(93) -> 44
, b_4(94) -> 93
, b_4(95) -> 94
, b_4(96) -> 95
, b_4(97) -> 96
, b_4(102) -> 72
, b_4(102) -> 90
, b_4(102) -> 99
, b_4(103) -> 102
, b_4(104) -> 103
, b_4(105) -> 104
, b_4(106) -> 105
, b_4(111) -> 81
, b_4(112) -> 111
, b_4(113) -> 112
, b_4(114) -> 113
, b_4(115) -> 114
, b_4(120) -> 43
, b_4(120) -> 44
, b_4(121) -> 120
, b_4(122) -> 121
, b_4(123) -> 122
, b_4(124) -> 123
, b_4(129) -> 117
, b_4(130) -> 129
, b_4(131) -> 130
, b_4(132) -> 131
, b_4(133) -> 132
, b_4(138) -> 126
, b_4(139) -> 138
, b_4(140) -> 139
, b_4(141) -> 140
, b_4(142) -> 141
, b_4(147) -> 137
, b_4(148) -> 147
, b_4(149) -> 148
, b_4(150) -> 149
, b_4(151) -> 150
, b_4(156) -> 153
, b_4(157) -> 156
, b_4(158) -> 157
, b_4(159) -> 158
, b_4(160) -> 159
, b_5(165) -> 134
, b_5(166) -> 165
, b_5(167) -> 166
, b_5(168) -> 167
, b_5(169) -> 168
, b_5(174) -> 171
, b_5(175) -> 174
, b_5(176) -> 175
, b_5(177) -> 176
, b_5(178) -> 177
, a_0(1) -> 2
, a_0(2) -> 2
, a_1(1) -> 11
, a_1(2) -> 11
, a_1(3) -> 11
, a_1(4) -> 11
, a_1(8) -> 7
, a_1(9) -> 8
, a_1(10) -> 9
, a_1(11) -> 10
, a_2(4) -> 20
, a_2(5) -> 20
, a_2(6) -> 20
, a_2(7) -> 20
, a_2(12) -> 20
, a_2(13) -> 29
, a_2(17) -> 16
, a_2(18) -> 17
, a_2(19) -> 18
, a_2(20) -> 19
, a_2(26) -> 25
, a_2(27) -> 26
, a_2(28) -> 27
, a_2(29) -> 28
, a_3(13) -> 38
, a_3(14) -> 38
, a_3(15) -> 47
, a_3(16) -> 47
, a_3(22) -> 56
, a_3(24) -> 65
, a_3(31) -> 74
, a_3(35) -> 34
, a_3(36) -> 35
, a_3(37) -> 36
, a_3(38) -> 37
, a_3(44) -> 43
, a_3(45) -> 44
, a_3(46) -> 45
, a_3(47) -> 46
, a_3(48) -> 83
, a_3(49) -> 74
, a_3(53) -> 52
, a_3(54) -> 53
, a_3(55) -> 54
, a_3(56) -> 55
, a_3(62) -> 61
, a_3(63) -> 62
, a_3(64) -> 63
, a_3(65) -> 64
, a_3(71) -> 70
, a_3(72) -> 71
, a_3(73) -> 72
, a_3(74) -> 73
, a_3(80) -> 79
, a_3(81) -> 80
, a_3(82) -> 81
, a_3(83) -> 82
, a_4(31) -> 101
, a_4(33) -> 110
, a_4(49) -> 92
, a_4(50) -> 119
, a_4(51) -> 110
, a_4(52) -> 137
, a_4(58) -> 155
, a_4(60) -> 164
, a_4(67) -> 128
, a_4(69) -> 146
, a_4(89) -> 88
, a_4(90) -> 89
, a_4(91) -> 90
, a_4(92) -> 91
, a_4(98) -> 97
, a_4(99) -> 98
, a_4(100) -> 99
, a_4(101) -> 100
, a_4(107) -> 106
, a_4(108) -> 107
, a_4(109) -> 108
, a_4(110) -> 109
, a_4(116) -> 115
, a_4(117) -> 116
, a_4(118) -> 117
, a_4(119) -> 118
, a_4(125) -> 124
, a_4(126) -> 125
, a_4(127) -> 126
, a_4(128) -> 127
, a_4(134) -> 133
, a_4(135) -> 134
, a_4(136) -> 135
, a_4(137) -> 136
, a_4(143) -> 142
, a_4(144) -> 143
, a_4(145) -> 144
, a_4(146) -> 145
, a_4(152) -> 151
, a_4(153) -> 152
, a_4(154) -> 153
, a_4(155) -> 154
, a_4(161) -> 160
, a_4(162) -> 161
, a_4(163) -> 162
, a_4(164) -> 163
, a_5(148) -> 173
, a_5(150) -> 182
, a_5(170) -> 169
, a_5(171) -> 170
, a_5(172) -> 171
, a_5(173) -> 172
, a_5(179) -> 178
, a_5(180) -> 179
, a_5(181) -> 180
, a_5(182) -> 181}
Hurray, we answered YES(?,O(n^1))Tool CDI
stdout:
TIMEOUT
Statistics:
Number of monomials: 0
Last formula building started for bound 0
Last SAT solving started for bound 0Tool EDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs: {a(a(a(b(b(x1))))) -> b(b(b(b(b(a(a(a(a(a(x1))))))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool IDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs: {a(a(a(b(b(x1))))) -> b(b(b(b(b(a(a(a(a(a(x1))))))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool TRI
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs: {a(a(a(b(b(x1))))) -> b(b(b(b(b(a(a(a(a(a(x1))))))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool TRI2
stdout:
MAYBE
We consider the following Problem:
Strict Trs: {a(a(a(b(b(x1))))) -> b(b(b(b(b(a(a(a(a(a(x1))))))))))}
StartTerms: all
Strategy: none
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..