Tool Bounds
stdout:
YES(?,O(n^1))
We consider the following Problem:
Strict Trs:
{ 4(5(2(1(1(3(3(5(4(4(4(4(3(3(4(0(2(1(4(2(2(x1)))))))))))))))))))))
-> 2(1(4(3(1(3(1(1(1(2(3(4(3(4(4(2(3(0(2(1(x1))))))))))))))))))))
, 0(4(4(2(5(4(5(0(3(5(3(4(3(1(4(1(2(1(0(x1))))))))))))))))))) ->
3(0(4(0(2(0(5(3(2(5(3(4(4(3(4(4(3(4(x1))))))))))))))))))
, 4(2(5(0(2(3(3(2(1(4(0(2(4(0(2(5(3(4(x1)))))))))))))))))) ->
4(0(2(4(5(2(2(1(0(2(3(0(5(1(4(5(2(4(x1))))))))))))))))))
, 2(1(5(4(3(5(0(1(2(1(4(5(0(1(2(2(3(4(x1)))))))))))))))))) ->
0(0(0(0(4(5(2(0(2(0(1(2(5(1(5(2(1(4(x1))))))))))))))))))
, 1(4(1(2(3(5(3(0(0(5(3(4(2(2(2(5(2(1(x1)))))))))))))))))) ->
1(5(4(4(3(4(1(0(3(4(5(0(0(5(5(1(2(5(x1))))))))))))))))))
, 4(1(5(0(3(4(0(3(2(5(5(0(4(0(0(3(x1)))))))))))))))) ->
2(1(3(3(4(2(1(4(3(0(0(0(1(2(3(x1)))))))))))))))
, 4(0(1(5(3(3(4(0(4(4(4(5(4(0(2(x1))))))))))))))) ->
4(4(0(1(5(5(3(1(3(4(1(4(4(4(1(x1)))))))))))))))
, 5(2(5(0(1(1(3(0(4(4(2(4(3(2(x1)))))))))))))) ->
5(3(2(0(1(2(5(1(2(2(5(1(3(x1)))))))))))))
, 4(0(0(5(2(4(3(4(3(4(4(0(0(3(x1)))))))))))))) ->
3(0(3(4(0(1(2(4(0(5(2(5(3(x1)))))))))))))
, 1(1(1(5(1(0(5(3(1(5(4(4(0(0(x1)))))))))))))) ->
5(5(2(4(4(0(4(0(5(0(4(2(4(5(x1))))))))))))))
, 4(5(4(0(3(0(2(1(5(5(4(2(2(x1))))))))))))) ->
2(1(0(0(1(2(0(0(4(0(1(2(3(3(x1))))))))))))))
, 4(2(4(5(0(4(0(5(3(1(0(5(3(x1))))))))))))) ->
4(0(4(5(5(0(3(0(5(5(5(4(x1))))))))))))
, 4(4(4(3(1(1(3(0(3(0(3(x1))))))))))) ->
1(4(3(4(4(3(5(3(0(3(x1))))))))))
, 4(4(2(0(3(1(2(0(0(0(1(x1))))))))))) ->
4(0(0(3(3(1(1(5(0(1(x1))))))))))
, 3(3(1(4(4(2(2(1(1(3(4(x1))))))))))) ->
3(3(3(5(5(5(4(1(2(3(x1))))))))))
, 1(1(5(4(0(2(0(3(4(0(2(x1))))))))))) ->
1(5(0(4(2(2(0(0(3(0(1(x1)))))))))))
, 4(2(1(3(2(4(4(2(4(2(x1)))))))))) ->
3(0(3(3(4(1(3(4(2(2(x1))))))))))
, 2(5(2(3(4(0(0(4(4(3(x1)))))))))) -> 3(0(3(5(2(1(2(2(3(x1)))))))))
, 1(4(3(0(0(5(1(4(3(x1))))))))) -> 5(4(2(5(2(2(4(3(x1))))))))
, 0(5(1(5(4(0(4(1(0(x1))))))))) -> 2(4(2(1(1(2(5(5(x1))))))))
, 2(0(1(2(0(3(x1)))))) -> 2(5(3(2(3(x1)))))
, 0(0(5(2(2(0(x1)))))) -> 3(5(0(3(2(x1)))))
, 4(5(3(4(5(x1))))) -> 2(3(1(5(x1))))
, 4(1(1(0(2(x1))))) -> 0(3(2(0(x1))))
, 0(1(2(2(x1)))) -> 3(3(2(x1)))}
StartTerms: all
Strategy: none
Certificate: YES(?,O(n^1))
Proof:
The problem is match-bounded by 2.
The enriched problem is compatible with the following automaton:
{ 2_0(1) -> 1
, 2_1(1) -> 97
, 2_1(2) -> 1
, 2_1(2) -> 37
, 2_1(2) -> 97
, 2_1(2) -> 110
, 2_1(2) -> 141
, 2_1(2) -> 221
, 2_1(2) -> 222
, 2_1(11) -> 10
, 2_1(17) -> 16
, 2_1(20) -> 19
, 2_1(25) -> 24
, 2_1(29) -> 28
, 2_1(37) -> 53
, 2_1(38) -> 53
, 2_1(40) -> 39
, 2_1(43) -> 42
, 2_1(44) -> 43
, 2_1(47) -> 46
, 2_1(53) -> 206
, 2_1(54) -> 97
, 2_1(60) -> 59
, 2_1(62) -> 61
, 2_1(65) -> 64
, 2_1(69) -> 68
, 2_1(70) -> 53
, 2_1(86) -> 85
, 2_1(90) -> 89
, 2_1(97) -> 190
, 2_1(98) -> 97
, 2_1(113) -> 112
, 2_1(116) -> 115
, 2_1(119) -> 118
, 2_1(120) -> 119
, 2_1(126) -> 125
, 2_1(130) -> 129
, 2_1(132) -> 131
, 2_1(141) -> 140
, 2_1(145) -> 144
, 2_1(151) -> 150
, 2_1(167) -> 97
, 2_1(180) -> 179
, 2_1(181) -> 180
, 2_1(201) -> 200
, 2_1(205) -> 204
, 2_1(207) -> 206
, 2_1(208) -> 207
, 2_1(209) -> 38
, 2_1(210) -> 209
, 2_1(213) -> 212
, 2_1(222) -> 221
, 2_2(2) -> 224
, 1_0(1) -> 1
, 1_1(1) -> 20
, 1_1(2) -> 20
, 1_1(3) -> 2
, 1_1(6) -> 5
, 1_1(8) -> 7
, 1_1(9) -> 8
, 1_1(10) -> 9
, 1_1(37) -> 69
, 1_1(38) -> 69
, 1_1(40) -> 20
, 1_1(45) -> 44
, 1_1(51) -> 50
, 1_1(64) -> 63
, 1_1(67) -> 66
, 1_1(70) -> 1
, 1_1(70) -> 20
, 1_1(70) -> 37
, 1_1(70) -> 69
, 1_1(76) -> 75
, 1_1(85) -> 84
, 1_1(86) -> 220
, 1_1(91) -> 90
, 1_1(97) -> 96
, 1_1(98) -> 121
, 1_1(101) -> 100
, 1_1(105) -> 104
, 1_1(108) -> 107
, 1_1(115) -> 114
, 1_1(118) -> 117
, 1_1(125) -> 124
, 1_1(144) -> 143
, 1_1(150) -> 149
, 1_1(170) -> 169
, 1_1(171) -> 170
, 1_1(188) -> 187
, 1_1(190) -> 201
, 1_1(210) -> 20
, 1_1(211) -> 210
, 1_1(212) -> 211
, 0_0(1) -> 1
, 0_1(1) -> 222
, 0_1(2) -> 222
, 0_1(19) -> 18
, 0_1(20) -> 172
, 0_1(22) -> 21
, 0_1(24) -> 23
, 0_1(26) -> 25
, 0_1(37) -> 166
, 0_1(39) -> 38
, 0_1(46) -> 45
, 0_1(49) -> 48
, 0_1(54) -> 1
, 0_1(54) -> 19
, 0_1(54) -> 37
, 0_1(54) -> 97
, 0_1(54) -> 110
, 0_1(55) -> 54
, 0_1(56) -> 55
, 0_1(57) -> 56
, 0_1(61) -> 60
, 0_1(63) -> 62
, 0_1(77) -> 76
, 0_1(81) -> 80
, 0_1(82) -> 81
, 0_1(94) -> 93
, 0_1(95) -> 94
, 0_1(96) -> 95
, 0_1(98) -> 166
, 0_1(100) -> 99
, 0_1(114) -> 113
, 0_1(124) -> 123
, 0_1(128) -> 127
, 0_1(135) -> 134
, 0_1(137) -> 136
, 0_1(139) -> 138
, 0_1(142) -> 3
, 0_1(143) -> 142
, 0_1(146) -> 145
, 0_1(147) -> 146
, 0_1(149) -> 148
, 0_1(155) -> 154
, 0_1(157) -> 156
, 0_1(167) -> 39
, 0_1(178) -> 71
, 0_1(182) -> 181
, 0_1(183) -> 182
, 0_1(214) -> 215
, 3_0(1) -> 1
, 3_1(1) -> 98
, 3_1(2) -> 98
, 3_1(5) -> 4
, 3_1(7) -> 6
, 3_1(12) -> 11
, 3_1(14) -> 13
, 3_1(18) -> 17
, 3_1(21) -> 1
, 3_1(21) -> 37
, 3_1(21) -> 85
, 3_1(21) -> 97
, 3_1(21) -> 98
, 3_1(21) -> 151
, 3_1(21) -> 166
, 3_1(21) -> 222
, 3_1(28) -> 27
, 3_1(31) -> 30
, 3_1(34) -> 33
, 3_1(37) -> 36
, 3_1(38) -> 1
, 3_1(48) -> 47
, 3_1(74) -> 73
, 3_1(78) -> 77
, 3_1(87) -> 3
, 3_1(88) -> 87
, 3_1(93) -> 92
, 3_1(97) -> 214
, 3_1(98) -> 151
, 3_1(99) -> 1
, 3_1(104) -> 103
, 3_1(106) -> 105
, 3_1(112) -> 111
, 3_1(122) -> 22
, 3_1(139) -> 188
, 3_1(156) -> 155
, 3_1(159) -> 163
, 3_1(161) -> 160
, 3_1(164) -> 163
, 3_1(166) -> 165
, 3_1(168) -> 167
, 3_1(169) -> 168
, 3_1(172) -> 183
, 3_1(173) -> 21
, 3_1(174) -> 173
, 3_1(185) -> 122
, 3_1(189) -> 188
, 3_1(209) -> 98
, 3_1(210) -> 21
, 3_1(214) -> 1
, 3_1(214) -> 95
, 3_1(214) -> 172
, 3_1(214) -> 222
, 3_1(220) -> 2
, 3_1(221) -> 54
, 3_1(222) -> 37
, 3_2(223) -> 95
, 3_2(224) -> 223
, 4_0(1) -> 1
, 4_1(1) -> 37
, 4_1(4) -> 3
, 4_1(13) -> 12
, 4_1(15) -> 14
, 4_1(16) -> 15
, 4_1(20) -> 110
, 4_1(21) -> 37
, 4_1(23) -> 22
, 4_1(32) -> 31
, 4_1(33) -> 32
, 4_1(35) -> 34
, 4_1(36) -> 35
, 4_1(38) -> 1
, 4_1(38) -> 37
, 4_1(38) -> 139
, 4_1(41) -> 40
, 4_1(52) -> 51
, 4_1(53) -> 139
, 4_1(54) -> 37
, 4_1(58) -> 57
, 4_1(72) -> 71
, 4_1(73) -> 72
, 4_1(75) -> 74
, 4_1(79) -> 78
, 4_1(86) -> 141
, 4_1(89) -> 88
, 4_1(92) -> 91
, 4_1(96) -> 177
, 4_1(98) -> 208
, 4_1(99) -> 38
, 4_1(107) -> 106
, 4_1(109) -> 108
, 4_1(110) -> 109
, 4_1(112) -> 37
, 4_1(123) -> 122
, 4_1(127) -> 126
, 4_1(133) -> 132
, 4_1(134) -> 133
, 4_1(136) -> 135
, 4_1(140) -> 139
, 4_1(142) -> 37
, 4_1(148) -> 147
, 4_1(152) -> 39
, 4_1(160) -> 70
, 4_1(162) -> 161
, 4_1(163) -> 162
, 4_1(179) -> 178
, 4_1(187) -> 185
, 4_1(190) -> 189
, 4_1(204) -> 111
, 4_1(208) -> 161
, 4_1(209) -> 2
, 4_1(214) -> 37
, 5_0(1) -> 1
, 5_1(1) -> 86
, 5_1(3) -> 86
, 5_1(27) -> 26
, 5_1(30) -> 29
, 5_1(37) -> 159
, 5_1(38) -> 159
, 5_1(42) -> 41
, 5_1(50) -> 49
, 5_1(53) -> 52
, 5_1(54) -> 86
, 5_1(55) -> 86
, 5_1(59) -> 58
, 5_1(66) -> 65
, 5_1(68) -> 67
, 5_1(70) -> 86
, 5_1(71) -> 70
, 5_1(80) -> 79
, 5_1(83) -> 82
, 5_1(84) -> 83
, 5_1(85) -> 128
, 5_1(86) -> 213
, 5_1(98) -> 130
, 5_1(102) -> 101
, 5_1(103) -> 102
, 5_1(111) -> 1
, 5_1(111) -> 20
, 5_1(111) -> 69
, 5_1(111) -> 86
, 5_1(111) -> 128
, 5_1(117) -> 116
, 5_1(121) -> 120
, 5_1(129) -> 128
, 5_1(131) -> 111
, 5_1(138) -> 137
, 5_1(153) -> 152
, 5_1(154) -> 153
, 5_1(158) -> 157
, 5_1(159) -> 158
, 5_1(165) -> 164
, 5_1(167) -> 86
, 5_1(172) -> 171
, 5_1(175) -> 174
, 5_1(176) -> 175
, 5_1(177) -> 176
, 5_1(200) -> 122
, 5_1(206) -> 205
, 5_1(214) -> 2
, 5_1(215) -> 21}
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:
{ 4(5(2(1(1(3(3(5(4(4(4(4(3(3(4(0(2(1(4(2(2(x1)))))))))))))))))))))
-> 2(1(4(3(1(3(1(1(1(2(3(4(3(4(4(2(3(0(2(1(x1))))))))))))))))))))
, 0(4(4(2(5(4(5(0(3(5(3(4(3(1(4(1(2(1(0(x1))))))))))))))))))) ->
3(0(4(0(2(0(5(3(2(5(3(4(4(3(4(4(3(4(x1))))))))))))))))))
, 4(2(5(0(2(3(3(2(1(4(0(2(4(0(2(5(3(4(x1)))))))))))))))))) ->
4(0(2(4(5(2(2(1(0(2(3(0(5(1(4(5(2(4(x1))))))))))))))))))
, 2(1(5(4(3(5(0(1(2(1(4(5(0(1(2(2(3(4(x1)))))))))))))))))) ->
0(0(0(0(4(5(2(0(2(0(1(2(5(1(5(2(1(4(x1))))))))))))))))))
, 1(4(1(2(3(5(3(0(0(5(3(4(2(2(2(5(2(1(x1)))))))))))))))))) ->
1(5(4(4(3(4(1(0(3(4(5(0(0(5(5(1(2(5(x1))))))))))))))))))
, 4(1(5(0(3(4(0(3(2(5(5(0(4(0(0(3(x1)))))))))))))))) ->
2(1(3(3(4(2(1(4(3(0(0(0(1(2(3(x1)))))))))))))))
, 4(0(1(5(3(3(4(0(4(4(4(5(4(0(2(x1))))))))))))))) ->
4(4(0(1(5(5(3(1(3(4(1(4(4(4(1(x1)))))))))))))))
, 5(2(5(0(1(1(3(0(4(4(2(4(3(2(x1)))))))))))))) ->
5(3(2(0(1(2(5(1(2(2(5(1(3(x1)))))))))))))
, 4(0(0(5(2(4(3(4(3(4(4(0(0(3(x1)))))))))))))) ->
3(0(3(4(0(1(2(4(0(5(2(5(3(x1)))))))))))))
, 1(1(1(5(1(0(5(3(1(5(4(4(0(0(x1)))))))))))))) ->
5(5(2(4(4(0(4(0(5(0(4(2(4(5(x1))))))))))))))
, 4(5(4(0(3(0(2(1(5(5(4(2(2(x1))))))))))))) ->
2(1(0(0(1(2(0(0(4(0(1(2(3(3(x1))))))))))))))
, 4(2(4(5(0(4(0(5(3(1(0(5(3(x1))))))))))))) ->
4(0(4(5(5(0(3(0(5(5(5(4(x1))))))))))))
, 4(4(4(3(1(1(3(0(3(0(3(x1))))))))))) ->
1(4(3(4(4(3(5(3(0(3(x1))))))))))
, 4(4(2(0(3(1(2(0(0(0(1(x1))))))))))) ->
4(0(0(3(3(1(1(5(0(1(x1))))))))))
, 3(3(1(4(4(2(2(1(1(3(4(x1))))))))))) ->
3(3(3(5(5(5(4(1(2(3(x1))))))))))
, 1(1(5(4(0(2(0(3(4(0(2(x1))))))))))) ->
1(5(0(4(2(2(0(0(3(0(1(x1)))))))))))
, 4(2(1(3(2(4(4(2(4(2(x1)))))))))) ->
3(0(3(3(4(1(3(4(2(2(x1))))))))))
, 2(5(2(3(4(0(0(4(4(3(x1)))))))))) -> 3(0(3(5(2(1(2(2(3(x1)))))))))
, 1(4(3(0(0(5(1(4(3(x1))))))))) -> 5(4(2(5(2(2(4(3(x1))))))))
, 0(5(1(5(4(0(4(1(0(x1))))))))) -> 2(4(2(1(1(2(5(5(x1))))))))
, 2(0(1(2(0(3(x1)))))) -> 2(5(3(2(3(x1)))))
, 0(0(5(2(2(0(x1)))))) -> 3(5(0(3(2(x1)))))
, 4(5(3(4(5(x1))))) -> 2(3(1(5(x1))))
, 4(1(1(0(2(x1))))) -> 0(3(2(0(x1))))
, 0(1(2(2(x1)))) -> 3(3(2(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:
{ 4(5(2(1(1(3(3(5(4(4(4(4(3(3(4(0(2(1(4(2(2(x1)))))))))))))))))))))
-> 2(1(4(3(1(3(1(1(1(2(3(4(3(4(4(2(3(0(2(1(x1))))))))))))))))))))
, 0(4(4(2(5(4(5(0(3(5(3(4(3(1(4(1(2(1(0(x1))))))))))))))))))) ->
3(0(4(0(2(0(5(3(2(5(3(4(4(3(4(4(3(4(x1))))))))))))))))))
, 4(2(5(0(2(3(3(2(1(4(0(2(4(0(2(5(3(4(x1)))))))))))))))))) ->
4(0(2(4(5(2(2(1(0(2(3(0(5(1(4(5(2(4(x1))))))))))))))))))
, 2(1(5(4(3(5(0(1(2(1(4(5(0(1(2(2(3(4(x1)))))))))))))))))) ->
0(0(0(0(4(5(2(0(2(0(1(2(5(1(5(2(1(4(x1))))))))))))))))))
, 1(4(1(2(3(5(3(0(0(5(3(4(2(2(2(5(2(1(x1)))))))))))))))))) ->
1(5(4(4(3(4(1(0(3(4(5(0(0(5(5(1(2(5(x1))))))))))))))))))
, 4(1(5(0(3(4(0(3(2(5(5(0(4(0(0(3(x1)))))))))))))))) ->
2(1(3(3(4(2(1(4(3(0(0(0(1(2(3(x1)))))))))))))))
, 4(0(1(5(3(3(4(0(4(4(4(5(4(0(2(x1))))))))))))))) ->
4(4(0(1(5(5(3(1(3(4(1(4(4(4(1(x1)))))))))))))))
, 5(2(5(0(1(1(3(0(4(4(2(4(3(2(x1)))))))))))))) ->
5(3(2(0(1(2(5(1(2(2(5(1(3(x1)))))))))))))
, 4(0(0(5(2(4(3(4(3(4(4(0(0(3(x1)))))))))))))) ->
3(0(3(4(0(1(2(4(0(5(2(5(3(x1)))))))))))))
, 1(1(1(5(1(0(5(3(1(5(4(4(0(0(x1)))))))))))))) ->
5(5(2(4(4(0(4(0(5(0(4(2(4(5(x1))))))))))))))
, 4(5(4(0(3(0(2(1(5(5(4(2(2(x1))))))))))))) ->
2(1(0(0(1(2(0(0(4(0(1(2(3(3(x1))))))))))))))
, 4(2(4(5(0(4(0(5(3(1(0(5(3(x1))))))))))))) ->
4(0(4(5(5(0(3(0(5(5(5(4(x1))))))))))))
, 4(4(4(3(1(1(3(0(3(0(3(x1))))))))))) ->
1(4(3(4(4(3(5(3(0(3(x1))))))))))
, 4(4(2(0(3(1(2(0(0(0(1(x1))))))))))) ->
4(0(0(3(3(1(1(5(0(1(x1))))))))))
, 3(3(1(4(4(2(2(1(1(3(4(x1))))))))))) ->
3(3(3(5(5(5(4(1(2(3(x1))))))))))
, 1(1(5(4(0(2(0(3(4(0(2(x1))))))))))) ->
1(5(0(4(2(2(0(0(3(0(1(x1)))))))))))
, 4(2(1(3(2(4(4(2(4(2(x1)))))))))) ->
3(0(3(3(4(1(3(4(2(2(x1))))))))))
, 2(5(2(3(4(0(0(4(4(3(x1)))))))))) -> 3(0(3(5(2(1(2(2(3(x1)))))))))
, 1(4(3(0(0(5(1(4(3(x1))))))))) -> 5(4(2(5(2(2(4(3(x1))))))))
, 0(5(1(5(4(0(4(1(0(x1))))))))) -> 2(4(2(1(1(2(5(5(x1))))))))
, 2(0(1(2(0(3(x1)))))) -> 2(5(3(2(3(x1)))))
, 0(0(5(2(2(0(x1)))))) -> 3(5(0(3(2(x1)))))
, 4(5(3(4(5(x1))))) -> 2(3(1(5(x1))))
, 4(1(1(0(2(x1))))) -> 0(3(2(0(x1))))
, 0(1(2(2(x1)))) -> 3(3(2(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:
{ 4(5(2(1(1(3(3(5(4(4(4(4(3(3(4(0(2(1(4(2(2(x1)))))))))))))))))))))
-> 2(1(4(3(1(3(1(1(1(2(3(4(3(4(4(2(3(0(2(1(x1))))))))))))))))))))
, 0(4(4(2(5(4(5(0(3(5(3(4(3(1(4(1(2(1(0(x1))))))))))))))))))) ->
3(0(4(0(2(0(5(3(2(5(3(4(4(3(4(4(3(4(x1))))))))))))))))))
, 4(2(5(0(2(3(3(2(1(4(0(2(4(0(2(5(3(4(x1)))))))))))))))))) ->
4(0(2(4(5(2(2(1(0(2(3(0(5(1(4(5(2(4(x1))))))))))))))))))
, 2(1(5(4(3(5(0(1(2(1(4(5(0(1(2(2(3(4(x1)))))))))))))))))) ->
0(0(0(0(4(5(2(0(2(0(1(2(5(1(5(2(1(4(x1))))))))))))))))))
, 1(4(1(2(3(5(3(0(0(5(3(4(2(2(2(5(2(1(x1)))))))))))))))))) ->
1(5(4(4(3(4(1(0(3(4(5(0(0(5(5(1(2(5(x1))))))))))))))))))
, 4(1(5(0(3(4(0(3(2(5(5(0(4(0(0(3(x1)))))))))))))))) ->
2(1(3(3(4(2(1(4(3(0(0(0(1(2(3(x1)))))))))))))))
, 4(0(1(5(3(3(4(0(4(4(4(5(4(0(2(x1))))))))))))))) ->
4(4(0(1(5(5(3(1(3(4(1(4(4(4(1(x1)))))))))))))))
, 5(2(5(0(1(1(3(0(4(4(2(4(3(2(x1)))))))))))))) ->
5(3(2(0(1(2(5(1(2(2(5(1(3(x1)))))))))))))
, 4(0(0(5(2(4(3(4(3(4(4(0(0(3(x1)))))))))))))) ->
3(0(3(4(0(1(2(4(0(5(2(5(3(x1)))))))))))))
, 1(1(1(5(1(0(5(3(1(5(4(4(0(0(x1)))))))))))))) ->
5(5(2(4(4(0(4(0(5(0(4(2(4(5(x1))))))))))))))
, 4(5(4(0(3(0(2(1(5(5(4(2(2(x1))))))))))))) ->
2(1(0(0(1(2(0(0(4(0(1(2(3(3(x1))))))))))))))
, 4(2(4(5(0(4(0(5(3(1(0(5(3(x1))))))))))))) ->
4(0(4(5(5(0(3(0(5(5(5(4(x1))))))))))))
, 4(4(4(3(1(1(3(0(3(0(3(x1))))))))))) ->
1(4(3(4(4(3(5(3(0(3(x1))))))))))
, 4(4(2(0(3(1(2(0(0(0(1(x1))))))))))) ->
4(0(0(3(3(1(1(5(0(1(x1))))))))))
, 3(3(1(4(4(2(2(1(1(3(4(x1))))))))))) ->
3(3(3(5(5(5(4(1(2(3(x1))))))))))
, 1(1(5(4(0(2(0(3(4(0(2(x1))))))))))) ->
1(5(0(4(2(2(0(0(3(0(1(x1)))))))))))
, 4(2(1(3(2(4(4(2(4(2(x1)))))))))) ->
3(0(3(3(4(1(3(4(2(2(x1))))))))))
, 2(5(2(3(4(0(0(4(4(3(x1)))))))))) -> 3(0(3(5(2(1(2(2(3(x1)))))))))
, 1(4(3(0(0(5(1(4(3(x1))))))))) -> 5(4(2(5(2(2(4(3(x1))))))))
, 0(5(1(5(4(0(4(1(0(x1))))))))) -> 2(4(2(1(1(2(5(5(x1))))))))
, 2(0(1(2(0(3(x1)))))) -> 2(5(3(2(3(x1)))))
, 0(0(5(2(2(0(x1)))))) -> 3(5(0(3(2(x1)))))
, 4(5(3(4(5(x1))))) -> 2(3(1(5(x1))))
, 4(1(1(0(2(x1))))) -> 0(3(2(0(x1))))
, 0(1(2(2(x1)))) -> 3(3(2(x1)))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool TRI2
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 4(5(2(1(1(3(3(5(4(4(4(4(3(3(4(0(2(1(4(2(2(x1)))))))))))))))))))))
-> 2(1(4(3(1(3(1(1(1(2(3(4(3(4(4(2(3(0(2(1(x1))))))))))))))))))))
, 0(4(4(2(5(4(5(0(3(5(3(4(3(1(4(1(2(1(0(x1))))))))))))))))))) ->
3(0(4(0(2(0(5(3(2(5(3(4(4(3(4(4(3(4(x1))))))))))))))))))
, 4(2(5(0(2(3(3(2(1(4(0(2(4(0(2(5(3(4(x1)))))))))))))))))) ->
4(0(2(4(5(2(2(1(0(2(3(0(5(1(4(5(2(4(x1))))))))))))))))))
, 2(1(5(4(3(5(0(1(2(1(4(5(0(1(2(2(3(4(x1)))))))))))))))))) ->
0(0(0(0(4(5(2(0(2(0(1(2(5(1(5(2(1(4(x1))))))))))))))))))
, 1(4(1(2(3(5(3(0(0(5(3(4(2(2(2(5(2(1(x1)))))))))))))))))) ->
1(5(4(4(3(4(1(0(3(4(5(0(0(5(5(1(2(5(x1))))))))))))))))))
, 4(1(5(0(3(4(0(3(2(5(5(0(4(0(0(3(x1)))))))))))))))) ->
2(1(3(3(4(2(1(4(3(0(0(0(1(2(3(x1)))))))))))))))
, 4(0(1(5(3(3(4(0(4(4(4(5(4(0(2(x1))))))))))))))) ->
4(4(0(1(5(5(3(1(3(4(1(4(4(4(1(x1)))))))))))))))
, 5(2(5(0(1(1(3(0(4(4(2(4(3(2(x1)))))))))))))) ->
5(3(2(0(1(2(5(1(2(2(5(1(3(x1)))))))))))))
, 4(0(0(5(2(4(3(4(3(4(4(0(0(3(x1)))))))))))))) ->
3(0(3(4(0(1(2(4(0(5(2(5(3(x1)))))))))))))
, 1(1(1(5(1(0(5(3(1(5(4(4(0(0(x1)))))))))))))) ->
5(5(2(4(4(0(4(0(5(0(4(2(4(5(x1))))))))))))))
, 4(5(4(0(3(0(2(1(5(5(4(2(2(x1))))))))))))) ->
2(1(0(0(1(2(0(0(4(0(1(2(3(3(x1))))))))))))))
, 4(2(4(5(0(4(0(5(3(1(0(5(3(x1))))))))))))) ->
4(0(4(5(5(0(3(0(5(5(5(4(x1))))))))))))
, 4(4(4(3(1(1(3(0(3(0(3(x1))))))))))) ->
1(4(3(4(4(3(5(3(0(3(x1))))))))))
, 4(4(2(0(3(1(2(0(0(0(1(x1))))))))))) ->
4(0(0(3(3(1(1(5(0(1(x1))))))))))
, 3(3(1(4(4(2(2(1(1(3(4(x1))))))))))) ->
3(3(3(5(5(5(4(1(2(3(x1))))))))))
, 1(1(5(4(0(2(0(3(4(0(2(x1))))))))))) ->
1(5(0(4(2(2(0(0(3(0(1(x1)))))))))))
, 4(2(1(3(2(4(4(2(4(2(x1)))))))))) ->
3(0(3(3(4(1(3(4(2(2(x1))))))))))
, 2(5(2(3(4(0(0(4(4(3(x1)))))))))) -> 3(0(3(5(2(1(2(2(3(x1)))))))))
, 1(4(3(0(0(5(1(4(3(x1))))))))) -> 5(4(2(5(2(2(4(3(x1))))))))
, 0(5(1(5(4(0(4(1(0(x1))))))))) -> 2(4(2(1(1(2(5(5(x1))))))))
, 2(0(1(2(0(3(x1)))))) -> 2(5(3(2(3(x1)))))
, 0(0(5(2(2(0(x1)))))) -> 3(5(0(3(2(x1)))))
, 4(5(3(4(5(x1))))) -> 2(3(1(5(x1))))
, 4(1(1(0(2(x1))))) -> 0(3(2(0(x1))))
, 0(1(2(2(x1)))) -> 3(3(2(x1)))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..