Tool Bounds
stdout:
YES(?,O(n^1))
We consider the following Problem:
Strict Trs:
{ 5(0(2(1(0(3(4(3(4(1(5(3(3(3(4(2(0(5(5(3(5(x1)))))))))))))))))))))
-> 3(5(1(1(0(5(4(5(2(1(5(0(4(4(4(3(4(4(1(5(x1))))))))))))))))))))
, 4(2(4(2(4(5(4(5(2(1(5(3(1(0(2(5(2(1(4(2(4(x1)))))))))))))))))))))
->
1(5(3(1(5(0(5(2(0(5(4(3(5(2(1(2(5(4(3(2(1(x1)))))))))))))))))))))
, 2(1(0(0(4(2(5(5(1(3(3(4(3(3(5(5(3(3(5(2(x1)))))))))))))))))))) ->
4(4(3(3(5(0(4(2(2(1(1(3(1(5(2(5(2(4(5(x1)))))))))))))))))))
, 1(4(1(4(1(5(2(4(4(3(3(4(5(4(4(1(2(0(2(3(x1)))))))))))))))))))) ->
1(2(1(5(0(1(0(4(4(4(2(5(0(1(5(1(1(4(3(3(x1))))))))))))))))))))
, 0(0(1(1(4(5(3(2(5(3(4(4(3(0(5(4(4(4(2(x1))))))))))))))))))) ->
0(0(4(5(1(4(1(5(3(0(4(0(3(3(4(0(4(0(4(x1)))))))))))))))))))
, 2(5(5(1(0(4(4(1(4(0(5(1(1(5(0(0(1(4(x1)))))))))))))))))) ->
3(3(1(0(0(1(1(1(2(1(2(0(2(4(4(3(5(0(x1))))))))))))))))))
, 5(0(2(4(4(4(4(3(1(2(2(2(2(2(2(5(2(x1))))))))))))))))) ->
5(4(0(4(4(3(5(5(4(3(0(5(5(5(0(0(x1))))))))))))))))
, 2(1(1(3(5(4(0(1(4(2(5(1(4(5(4(5(1(x1))))))))))))))))) ->
2(3(3(3(3(2(1(4(5(5(2(2(4(4(4(3(0(x1)))))))))))))))))
, 3(3(3(1(4(2(0(0(3(0(1(1(3(4(1(2(x1)))))))))))))))) ->
3(0(4(1(5(0(5(3(5(0(4(4(3(0(4(x1)))))))))))))))
, 2(1(2(3(2(1(2(5(5(5(0(0(3(2(1(1(x1)))))))))))))))) ->
4(4(1(1(3(3(1(4(2(1(3(0(3(2(3(x1)))))))))))))))
, 5(5(2(1(3(3(2(5(0(1(0(5(0(5(0(x1))))))))))))))) ->
2(3(5(0(2(4(1(0(5(4(3(0(5(0(x1))))))))))))))
, 5(3(5(5(4(0(2(2(4(3(2(2(1(4(1(x1))))))))))))))) ->
5(1(4(2(3(5(4(0(4(4(2(1(0(0(x1))))))))))))))
, 5(0(5(4(4(4(4(2(5(1(2(3(3(1(1(x1))))))))))))))) ->
1(3(0(5(3(1(3(1(0(3(3(1(0(3(x1))))))))))))))
, 4(4(5(3(0(2(0(0(0(3(5(0(2(1(x1)))))))))))))) ->
2(2(0(4(1(0(0(1(4(2(4(1(3(5(x1))))))))))))))
, 3(1(3(5(4(1(1(4(5(1(1(3(5(1(x1)))))))))))))) ->
3(2(1(2(4(3(5(1(5(5(1(3(4(x1)))))))))))))
, 2(1(4(5(5(0(2(4(0(5(4(4(1(4(x1)))))))))))))) ->
0(0(2(1(4(3(2(5(3(2(5(2(1(x1)))))))))))))
, 4(5(1(3(0(0(3(5(2(1(2(5(2(x1))))))))))))) ->
4(5(0(3(5(3(5(5(3(5(4(0(4(x1)))))))))))))
, 2(0(0(5(5(0(2(2(2(3(4(1(4(x1))))))))))))) ->
3(3(3(3(1(3(1(4(1(4(5(4(3(x1)))))))))))))
, 4(1(0(2(3(5(4(1(4(4(1(1(x1)))))))))))) ->
2(5(4(4(5(5(1(2(4(4(2(x1)))))))))))
, 4(0(4(2(3(5(0(1(4(4(5(0(x1)))))))))))) ->
3(5(0(2(5(1(2(5(1(4(1(x1)))))))))))
, 1(0(2(0(3(5(1(4(5(2(4(4(x1)))))))))))) ->
1(0(1(0(3(2(3(2(1(0(3(3(x1))))))))))))
, 2(2(2(0(3(3(2(0(4(5(0(x1))))))))))) ->
0(4(0(0(0(0(2(5(1(x1)))))))))
, 5(5(5(4(4(0(4(0(2(1(x1)))))))))) ->
5(4(5(4(0(5(0(4(0(3(x1))))))))))
, 5(0(3(1(4(1(0(1(0(x1))))))))) -> 2(2(4(1(3(2(2(3(0(x1)))))))))
, 5(5(0(4(3(3(x1)))))) -> 0(3(2(1(3(x1)))))
, 5(3(2(4(4(x1))))) -> 0(1(3(0(x1))))
, 4(1(2(3(4(x1))))) -> 1(5(3(0(x1))))
, 2(3(3(3(1(x1))))) -> 1(1(3(1(x1))))
, 2(1(4(0(1(x1))))) -> 3(0(0(1(x1))))
, 0(1(0(1(x1)))) -> 0(2(3(1(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:
{ 1_0(1) -> 1
, 1_1(1) -> 40
, 1_1(2) -> 276
, 1_1(4) -> 3
, 1_1(5) -> 4
, 1_1(11) -> 10
, 1_1(20) -> 19
, 1_1(21) -> 1
, 1_1(21) -> 20
, 1_1(21) -> 40
, 1_1(21) -> 93
, 1_1(21) -> 108
, 1_1(21) -> 160
, 1_1(21) -> 243
, 1_1(21) -> 244
, 1_1(21) -> 250
, 1_1(21) -> 251
, 1_1(21) -> 280
, 1_1(24) -> 23
, 1_1(35) -> 34
, 1_1(38) -> 40
, 1_1(41) -> 40
, 1_1(50) -> 49
, 1_1(51) -> 50
, 1_1(53) -> 52
, 1_1(59) -> 58
, 1_1(62) -> 61
, 1_1(70) -> 69
, 1_1(72) -> 71
, 1_1(73) -> 72
, 1_1(74) -> 21
, 1_1(75) -> 276
, 1_1(76) -> 40
, 1_1(80) -> 79
, 1_1(82) -> 81
, 1_1(95) -> 94
, 1_1(98) -> 97
, 1_1(99) -> 98
, 1_1(100) -> 99
, 1_1(102) -> 101
, 1_1(123) -> 179
, 1_1(130) -> 129
, 1_1(138) -> 76
, 1_1(141) -> 140
, 1_1(150) -> 42
, 1_1(151) -> 150
, 1_1(152) -> 21
, 1_1(154) -> 153
, 1_1(157) -> 156
, 1_1(160) -> 40
, 1_1(165) -> 164
, 1_1(170) -> 110
, 1_1(184) -> 183
, 1_1(186) -> 185
, 1_1(190) -> 189
, 1_1(194) -> 193
, 1_1(197) -> 196
, 1_1(201) -> 200
, 1_1(203) -> 202
, 1_1(208) -> 207
, 1_1(211) -> 210
, 1_1(213) -> 212
, 1_1(221) -> 40
, 1_1(230) -> 229
, 1_1(232) -> 231
, 1_1(234) -> 233
, 1_1(241) -> 240
, 1_1(248) -> 247
, 1_1(251) -> 250
, 1_1(253) -> 252
, 1_1(259) -> 258
, 1_1(272) -> 271
, 1_1(276) -> 1
, 1_1(276) -> 160
, 1_1(276) -> 244
, 1_1(277) -> 21
, 1_1(278) -> 1
, 1_1(284) -> 40
, 1_2(1) -> 280
, 1_2(2) -> 280
, 1_2(21) -> 280
, 1_2(38) -> 160
, 1_2(41) -> 280
, 1_2(74) -> 160
, 1_2(75) -> 280
, 1_2(76) -> 280
, 1_2(95) -> 280
, 1_2(138) -> 283
, 1_2(150) -> 280
, 1_2(152) -> 160
, 1_2(154) -> 280
, 1_2(160) -> 280
, 1_2(221) -> 280
, 1_2(230) -> 418
, 1_2(253) -> 286
, 1_2(276) -> 280
, 1_2(277) -> 280
, 1_2(278) -> 76
, 1_2(278) -> 160
, 1_2(278) -> 281
, 1_2(279) -> 278
, 1_2(282) -> 278
, 1_2(284) -> 160
, 1_2(285) -> 278
, 1_2(413) -> 251
, 1_2(414) -> 722
, 1_2(416) -> 244
, 1_2(417) -> 416
, 0_0(1) -> 1
, 0_1(1) -> 109
, 0_1(6) -> 5
, 0_1(13) -> 12
, 0_1(20) -> 169
, 0_1(21) -> 109
, 0_1(26) -> 25
, 0_1(29) -> 28
, 0_1(38) -> 1
, 0_1(38) -> 20
, 0_1(40) -> 139
, 0_1(41) -> 109
, 0_1(42) -> 109
, 0_1(46) -> 45
, 0_1(61) -> 60
, 0_1(63) -> 62
, 0_1(69) -> 68
, 0_1(74) -> 259
, 0_1(75) -> 190
, 0_1(76) -> 1
, 0_1(76) -> 2
, 0_1(76) -> 20
, 0_1(76) -> 39
, 0_1(76) -> 109
, 0_1(76) -> 123
, 0_1(76) -> 139
, 0_1(76) -> 244
, 0_1(77) -> 76
, 0_1(85) -> 84
, 0_1(87) -> 86
, 0_1(91) -> 90
, 0_1(93) -> 92
, 0_1(96) -> 95
, 0_1(97) -> 96
, 0_1(104) -> 103
, 0_1(108) -> 169
, 0_1(109) -> 123
, 0_1(112) -> 111
, 0_1(120) -> 119
, 0_1(124) -> 76
, 0_1(139) -> 2
, 0_1(143) -> 142
, 0_1(147) -> 146
, 0_1(151) -> 190
, 0_1(159) -> 158
, 0_1(160) -> 1
, 0_1(160) -> 109
, 0_1(160) -> 139
, 0_1(162) -> 161
, 0_1(166) -> 165
, 0_1(170) -> 109
, 0_1(176) -> 175
, 0_1(181) -> 180
, 0_1(187) -> 186
, 0_1(192) -> 191
, 0_1(195) -> 194
, 0_1(196) -> 195
, 0_1(221) -> 220
, 0_1(245) -> 3
, 0_1(252) -> 21
, 0_1(254) -> 253
, 0_1(261) -> 260
, 0_1(262) -> 261
, 0_1(263) -> 262
, 0_1(264) -> 263
, 0_1(268) -> 267
, 0_1(270) -> 269
, 0_1(276) -> 109
, 0_1(278) -> 109
, 0_1(284) -> 1
, 0_2(41) -> 415
, 0_2(42) -> 415
, 0_2(260) -> 415
, 0_2(281) -> 109
, 0_2(281) -> 139
, 0_2(284) -> 1
, 0_2(284) -> 92
, 0_2(284) -> 109
, 0_2(284) -> 139
, 0_2(284) -> 169
, 0_2(722) -> 20
, 3_0(1) -> 1
, 3_1(1) -> 75
, 3_1(2) -> 1
, 3_1(2) -> 20
, 3_1(2) -> 39
, 3_1(2) -> 74
, 3_1(2) -> 75
, 3_1(2) -> 91
, 3_1(2) -> 93
, 3_1(2) -> 108
, 3_1(2) -> 244
, 3_1(2) -> 277
, 3_1(2) -> 279
, 3_1(17) -> 16
, 3_1(18) -> 211
, 3_1(20) -> 201
, 3_1(21) -> 75
, 3_1(23) -> 22
, 3_1(32) -> 31
, 3_1(38) -> 74
, 3_1(39) -> 38
, 3_1(40) -> 277
, 3_1(41) -> 74
, 3_1(42) -> 2
, 3_1(43) -> 42
, 3_1(44) -> 43
, 3_1(52) -> 51
, 3_1(74) -> 74
, 3_1(75) -> 74
, 3_1(76) -> 277
, 3_1(84) -> 83
, 3_1(88) -> 87
, 3_1(89) -> 88
, 3_1(92) -> 149
, 3_1(93) -> 211
, 3_1(94) -> 2
, 3_1(108) -> 107
, 3_1(109) -> 138
, 3_1(115) -> 114
, 3_1(119) -> 118
, 3_1(123) -> 1
, 3_1(123) -> 39
, 3_1(123) -> 244
, 3_1(124) -> 74
, 3_1(125) -> 124
, 3_1(126) -> 125
, 3_1(127) -> 126
, 3_1(128) -> 127
, 3_1(138) -> 74
, 3_1(145) -> 144
, 3_1(151) -> 74
, 3_1(152) -> 151
, 3_1(153) -> 152
, 3_1(158) -> 157
, 3_1(159) -> 74
, 3_1(160) -> 159
, 3_1(169) -> 1
, 3_1(169) -> 39
, 3_1(169) -> 168
, 3_1(169) -> 244
, 3_1(173) -> 172
, 3_1(180) -> 21
, 3_1(183) -> 182
, 3_1(185) -> 184
, 3_1(188) -> 187
, 3_1(189) -> 188
, 3_1(206) -> 205
, 3_1(215) -> 214
, 3_1(218) -> 217
, 3_1(222) -> 221
, 3_1(224) -> 223
, 3_1(227) -> 226
, 3_1(228) -> 94
, 3_1(229) -> 228
, 3_1(231) -> 230
, 3_1(244) -> 159
, 3_1(252) -> 277
, 3_1(253) -> 75
, 3_1(255) -> 254
, 3_1(257) -> 256
, 3_1(258) -> 188
, 3_1(273) -> 272
, 3_1(275) -> 76
, 3_1(276) -> 74
, 3_1(277) -> 74
, 3_1(278) -> 74
, 3_1(279) -> 74
, 3_1(280) -> 1
, 3_1(282) -> 74
, 3_1(283) -> 1
, 3_1(284) -> 74
, 3_1(285) -> 74
, 3_1(286) -> 1
, 3_2(160) -> 279
, 3_2(244) -> 279
, 3_2(278) -> 279
, 3_2(280) -> 279
, 3_2(283) -> 282
, 3_2(286) -> 285
, 3_2(415) -> 414
, 3_2(418) -> 417
, 2_0(1) -> 1
, 2_1(1) -> 244
, 2_1(2) -> 244
, 2_1(10) -> 9
, 2_1(21) -> 244
, 2_1(28) -> 27
, 2_1(34) -> 33
, 2_1(36) -> 35
, 2_1(40) -> 39
, 2_1(48) -> 47
, 2_1(49) -> 48
, 2_1(55) -> 54
, 2_1(57) -> 56
, 2_1(58) -> 21
, 2_1(67) -> 66
, 2_1(74) -> 160
, 2_1(75) -> 160
, 2_1(101) -> 100
, 2_1(103) -> 102
, 2_1(105) -> 104
, 2_1(124) -> 1
, 2_1(124) -> 20
, 2_1(124) -> 39
, 2_1(124) -> 93
, 2_1(124) -> 108
, 2_1(124) -> 244
, 2_1(124) -> 251
, 2_1(124) -> 273
, 2_1(129) -> 128
, 2_1(134) -> 133
, 2_1(135) -> 134
, 2_1(138) -> 274
, 2_1(151) -> 244
, 2_1(152) -> 76
, 2_1(156) -> 155
, 2_1(160) -> 273
, 2_1(163) -> 162
, 2_1(172) -> 171
, 2_1(179) -> 178
, 2_1(191) -> 124
, 2_1(199) -> 198
, 2_1(202) -> 2
, 2_1(204) -> 203
, 2_1(212) -> 77
, 2_1(216) -> 215
, 2_1(219) -> 218
, 2_1(242) -> 241
, 2_1(246) -> 245
, 2_1(249) -> 248
, 2_1(256) -> 255
, 2_1(258) -> 257
, 2_1(265) -> 264
, 2_1(274) -> 273
, 2_1(276) -> 275
, 2_1(277) -> 76
, 2_1(278) -> 76
, 2_1(279) -> 76
, 2_1(282) -> 76
, 2_1(285) -> 76
, 2_2(279) -> 281
, 2_2(282) -> 281
, 2_2(285) -> 284
, 4_0(1) -> 1
, 4_1(1) -> 93
, 4_1(4) -> 93
, 4_1(8) -> 7
, 4_1(14) -> 13
, 4_1(15) -> 14
, 4_1(16) -> 15
, 4_1(18) -> 17
, 4_1(19) -> 18
, 4_1(20) -> 57
, 4_1(21) -> 93
, 4_1(31) -> 30
, 4_1(38) -> 37
, 4_1(40) -> 251
, 4_1(41) -> 1
, 4_1(41) -> 39
, 4_1(41) -> 57
, 4_1(41) -> 93
, 4_1(41) -> 178
, 4_1(41) -> 244
, 4_1(42) -> 41
, 4_1(47) -> 46
, 4_1(58) -> 93
, 4_1(64) -> 63
, 4_1(65) -> 64
, 4_1(66) -> 65
, 4_1(74) -> 73
, 4_1(75) -> 73
, 4_1(76) -> 243
, 4_1(78) -> 77
, 4_1(81) -> 80
, 4_1(86) -> 85
, 4_1(90) -> 89
, 4_1(92) -> 91
, 4_1(106) -> 105
, 4_1(107) -> 106
, 4_1(111) -> 110
, 4_1(113) -> 112
, 4_1(114) -> 113
, 4_1(118) -> 117
, 4_1(124) -> 93
, 4_1(131) -> 130
, 4_1(136) -> 135
, 4_1(137) -> 136
, 4_1(138) -> 137
, 4_1(140) -> 139
, 4_1(148) -> 147
, 4_1(149) -> 148
, 4_1(151) -> 73
, 4_1(155) -> 154
, 4_1(160) -> 243
, 4_1(164) -> 163
, 4_1(168) -> 167
, 4_1(170) -> 93
, 4_1(171) -> 170
, 4_1(175) -> 174
, 4_1(177) -> 176
, 4_1(178) -> 177
, 4_1(190) -> 270
, 4_1(193) -> 192
, 4_1(198) -> 197
, 4_1(200) -> 199
, 4_1(205) -> 204
, 4_1(214) -> 213
, 4_1(233) -> 232
, 4_1(235) -> 234
, 4_1(237) -> 236
, 4_1(238) -> 237
, 4_1(243) -> 242
, 4_1(244) -> 243
, 4_1(259) -> 270
, 4_1(260) -> 76
, 4_1(267) -> 266
, 4_1(271) -> 191
, 4_1(275) -> 243
, 4_1(276) -> 18
, 4_1(278) -> 18
, 5_0(1) -> 1
, 5_1(1) -> 20
, 5_1(3) -> 2
, 5_1(7) -> 6
, 5_1(9) -> 8
, 5_1(12) -> 11
, 5_1(21) -> 20
, 5_1(22) -> 21
, 5_1(25) -> 24
, 5_1(27) -> 26
, 5_1(30) -> 29
, 5_1(33) -> 32
, 5_1(37) -> 36
, 5_1(39) -> 219
, 5_1(40) -> 265
, 5_1(45) -> 44
, 5_1(54) -> 53
, 5_1(56) -> 55
, 5_1(60) -> 59
, 5_1(68) -> 67
, 5_1(71) -> 70
, 5_1(73) -> 235
, 5_1(79) -> 78
, 5_1(83) -> 82
, 5_1(91) -> 227
, 5_1(109) -> 108
, 5_1(110) -> 1
, 5_1(110) -> 20
, 5_1(110) -> 108
, 5_1(116) -> 115
, 5_1(117) -> 116
, 5_1(121) -> 120
, 5_1(122) -> 121
, 5_1(123) -> 122
, 5_1(124) -> 20
, 5_1(132) -> 131
, 5_1(133) -> 132
, 5_1(138) -> 21
, 5_1(142) -> 141
, 5_1(144) -> 143
, 5_1(146) -> 145
, 5_1(161) -> 125
, 5_1(167) -> 166
, 5_1(174) -> 173
, 5_1(182) -> 181
, 5_1(207) -> 206
, 5_1(209) -> 208
, 5_1(210) -> 209
, 5_1(217) -> 216
, 5_1(220) -> 41
, 5_1(223) -> 222
, 5_1(225) -> 224
, 5_1(226) -> 225
, 5_1(236) -> 124
, 5_1(239) -> 238
, 5_1(240) -> 239
, 5_1(247) -> 246
, 5_1(250) -> 249
, 5_1(266) -> 111
, 5_1(269) -> 268
, 5_1(276) -> 20
, 5_1(278) -> 20
, 5_1(279) -> 20
, 5_1(282) -> 20
, 5_1(285) -> 20
, 5_2(414) -> 413}
Hurray, we answered YES(?,O(n^1))Tool EDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(0(2(1(0(3(4(3(4(1(5(3(3(3(4(2(0(5(5(3(5(x1)))))))))))))))))))))
-> 3(5(1(1(0(5(4(5(2(1(5(0(4(4(4(3(4(4(1(5(x1))))))))))))))))))))
, 4(2(4(2(4(5(4(5(2(1(5(3(1(0(2(5(2(1(4(2(4(x1)))))))))))))))))))))
->
1(5(3(1(5(0(5(2(0(5(4(3(5(2(1(2(5(4(3(2(1(x1)))))))))))))))))))))
, 2(1(0(0(4(2(5(5(1(3(3(4(3(3(5(5(3(3(5(2(x1)))))))))))))))))))) ->
4(4(3(3(5(0(4(2(2(1(1(3(1(5(2(5(2(4(5(x1)))))))))))))))))))
, 1(4(1(4(1(5(2(4(4(3(3(4(5(4(4(1(2(0(2(3(x1)))))))))))))))))))) ->
1(2(1(5(0(1(0(4(4(4(2(5(0(1(5(1(1(4(3(3(x1))))))))))))))))))))
, 0(0(1(1(4(5(3(2(5(3(4(4(3(0(5(4(4(4(2(x1))))))))))))))))))) ->
0(0(4(5(1(4(1(5(3(0(4(0(3(3(4(0(4(0(4(x1)))))))))))))))))))
, 2(5(5(1(0(4(4(1(4(0(5(1(1(5(0(0(1(4(x1)))))))))))))))))) ->
3(3(1(0(0(1(1(1(2(1(2(0(2(4(4(3(5(0(x1))))))))))))))))))
, 5(0(2(4(4(4(4(3(1(2(2(2(2(2(2(5(2(x1))))))))))))))))) ->
5(4(0(4(4(3(5(5(4(3(0(5(5(5(0(0(x1))))))))))))))))
, 2(1(1(3(5(4(0(1(4(2(5(1(4(5(4(5(1(x1))))))))))))))))) ->
2(3(3(3(3(2(1(4(5(5(2(2(4(4(4(3(0(x1)))))))))))))))))
, 3(3(3(1(4(2(0(0(3(0(1(1(3(4(1(2(x1)))))))))))))))) ->
3(0(4(1(5(0(5(3(5(0(4(4(3(0(4(x1)))))))))))))))
, 2(1(2(3(2(1(2(5(5(5(0(0(3(2(1(1(x1)))))))))))))))) ->
4(4(1(1(3(3(1(4(2(1(3(0(3(2(3(x1)))))))))))))))
, 5(5(2(1(3(3(2(5(0(1(0(5(0(5(0(x1))))))))))))))) ->
2(3(5(0(2(4(1(0(5(4(3(0(5(0(x1))))))))))))))
, 5(3(5(5(4(0(2(2(4(3(2(2(1(4(1(x1))))))))))))))) ->
5(1(4(2(3(5(4(0(4(4(2(1(0(0(x1))))))))))))))
, 5(0(5(4(4(4(4(2(5(1(2(3(3(1(1(x1))))))))))))))) ->
1(3(0(5(3(1(3(1(0(3(3(1(0(3(x1))))))))))))))
, 4(4(5(3(0(2(0(0(0(3(5(0(2(1(x1)))))))))))))) ->
2(2(0(4(1(0(0(1(4(2(4(1(3(5(x1))))))))))))))
, 3(1(3(5(4(1(1(4(5(1(1(3(5(1(x1)))))))))))))) ->
3(2(1(2(4(3(5(1(5(5(1(3(4(x1)))))))))))))
, 2(1(4(5(5(0(2(4(0(5(4(4(1(4(x1)))))))))))))) ->
0(0(2(1(4(3(2(5(3(2(5(2(1(x1)))))))))))))
, 4(5(1(3(0(0(3(5(2(1(2(5(2(x1))))))))))))) ->
4(5(0(3(5(3(5(5(3(5(4(0(4(x1)))))))))))))
, 2(0(0(5(5(0(2(2(2(3(4(1(4(x1))))))))))))) ->
3(3(3(3(1(3(1(4(1(4(5(4(3(x1)))))))))))))
, 4(1(0(2(3(5(4(1(4(4(1(1(x1)))))))))))) ->
2(5(4(4(5(5(1(2(4(4(2(x1)))))))))))
, 4(0(4(2(3(5(0(1(4(4(5(0(x1)))))))))))) ->
3(5(0(2(5(1(2(5(1(4(1(x1)))))))))))
, 1(0(2(0(3(5(1(4(5(2(4(4(x1)))))))))))) ->
1(0(1(0(3(2(3(2(1(0(3(3(x1))))))))))))
, 2(2(2(0(3(3(2(0(4(5(0(x1))))))))))) ->
0(4(0(0(0(0(2(5(1(x1)))))))))
, 5(5(5(4(4(0(4(0(2(1(x1)))))))))) ->
5(4(5(4(0(5(0(4(0(3(x1))))))))))
, 5(0(3(1(4(1(0(1(0(x1))))))))) -> 2(2(4(1(3(2(2(3(0(x1)))))))))
, 5(5(0(4(3(3(x1)))))) -> 0(3(2(1(3(x1)))))
, 5(3(2(4(4(x1))))) -> 0(1(3(0(x1))))
, 4(1(2(3(4(x1))))) -> 1(5(3(0(x1))))
, 2(3(3(3(1(x1))))) -> 1(1(3(1(x1))))
, 2(1(4(0(1(x1))))) -> 3(0(0(1(x1))))
, 0(1(0(1(x1)))) -> 0(2(3(1(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:
{ 5(0(2(1(0(3(4(3(4(1(5(3(3(3(4(2(0(5(5(3(5(x1)))))))))))))))))))))
-> 3(5(1(1(0(5(4(5(2(1(5(0(4(4(4(3(4(4(1(5(x1))))))))))))))))))))
, 4(2(4(2(4(5(4(5(2(1(5(3(1(0(2(5(2(1(4(2(4(x1)))))))))))))))))))))
->
1(5(3(1(5(0(5(2(0(5(4(3(5(2(1(2(5(4(3(2(1(x1)))))))))))))))))))))
, 2(1(0(0(4(2(5(5(1(3(3(4(3(3(5(5(3(3(5(2(x1)))))))))))))))))))) ->
4(4(3(3(5(0(4(2(2(1(1(3(1(5(2(5(2(4(5(x1)))))))))))))))))))
, 1(4(1(4(1(5(2(4(4(3(3(4(5(4(4(1(2(0(2(3(x1)))))))))))))))))))) ->
1(2(1(5(0(1(0(4(4(4(2(5(0(1(5(1(1(4(3(3(x1))))))))))))))))))))
, 0(0(1(1(4(5(3(2(5(3(4(4(3(0(5(4(4(4(2(x1))))))))))))))))))) ->
0(0(4(5(1(4(1(5(3(0(4(0(3(3(4(0(4(0(4(x1)))))))))))))))))))
, 2(5(5(1(0(4(4(1(4(0(5(1(1(5(0(0(1(4(x1)))))))))))))))))) ->
3(3(1(0(0(1(1(1(2(1(2(0(2(4(4(3(5(0(x1))))))))))))))))))
, 5(0(2(4(4(4(4(3(1(2(2(2(2(2(2(5(2(x1))))))))))))))))) ->
5(4(0(4(4(3(5(5(4(3(0(5(5(5(0(0(x1))))))))))))))))
, 2(1(1(3(5(4(0(1(4(2(5(1(4(5(4(5(1(x1))))))))))))))))) ->
2(3(3(3(3(2(1(4(5(5(2(2(4(4(4(3(0(x1)))))))))))))))))
, 3(3(3(1(4(2(0(0(3(0(1(1(3(4(1(2(x1)))))))))))))))) ->
3(0(4(1(5(0(5(3(5(0(4(4(3(0(4(x1)))))))))))))))
, 2(1(2(3(2(1(2(5(5(5(0(0(3(2(1(1(x1)))))))))))))))) ->
4(4(1(1(3(3(1(4(2(1(3(0(3(2(3(x1)))))))))))))))
, 5(5(2(1(3(3(2(5(0(1(0(5(0(5(0(x1))))))))))))))) ->
2(3(5(0(2(4(1(0(5(4(3(0(5(0(x1))))))))))))))
, 5(3(5(5(4(0(2(2(4(3(2(2(1(4(1(x1))))))))))))))) ->
5(1(4(2(3(5(4(0(4(4(2(1(0(0(x1))))))))))))))
, 5(0(5(4(4(4(4(2(5(1(2(3(3(1(1(x1))))))))))))))) ->
1(3(0(5(3(1(3(1(0(3(3(1(0(3(x1))))))))))))))
, 4(4(5(3(0(2(0(0(0(3(5(0(2(1(x1)))))))))))))) ->
2(2(0(4(1(0(0(1(4(2(4(1(3(5(x1))))))))))))))
, 3(1(3(5(4(1(1(4(5(1(1(3(5(1(x1)))))))))))))) ->
3(2(1(2(4(3(5(1(5(5(1(3(4(x1)))))))))))))
, 2(1(4(5(5(0(2(4(0(5(4(4(1(4(x1)))))))))))))) ->
0(0(2(1(4(3(2(5(3(2(5(2(1(x1)))))))))))))
, 4(5(1(3(0(0(3(5(2(1(2(5(2(x1))))))))))))) ->
4(5(0(3(5(3(5(5(3(5(4(0(4(x1)))))))))))))
, 2(0(0(5(5(0(2(2(2(3(4(1(4(x1))))))))))))) ->
3(3(3(3(1(3(1(4(1(4(5(4(3(x1)))))))))))))
, 4(1(0(2(3(5(4(1(4(4(1(1(x1)))))))))))) ->
2(5(4(4(5(5(1(2(4(4(2(x1)))))))))))
, 4(0(4(2(3(5(0(1(4(4(5(0(x1)))))))))))) ->
3(5(0(2(5(1(2(5(1(4(1(x1)))))))))))
, 1(0(2(0(3(5(1(4(5(2(4(4(x1)))))))))))) ->
1(0(1(0(3(2(3(2(1(0(3(3(x1))))))))))))
, 2(2(2(0(3(3(2(0(4(5(0(x1))))))))))) ->
0(4(0(0(0(0(2(5(1(x1)))))))))
, 5(5(5(4(4(0(4(0(2(1(x1)))))))))) ->
5(4(5(4(0(5(0(4(0(3(x1))))))))))
, 5(0(3(1(4(1(0(1(0(x1))))))))) -> 2(2(4(1(3(2(2(3(0(x1)))))))))
, 5(5(0(4(3(3(x1)))))) -> 0(3(2(1(3(x1)))))
, 5(3(2(4(4(x1))))) -> 0(1(3(0(x1))))
, 4(1(2(3(4(x1))))) -> 1(5(3(0(x1))))
, 2(3(3(3(1(x1))))) -> 1(1(3(1(x1))))
, 2(1(4(0(1(x1))))) -> 3(0(0(1(x1))))
, 0(1(0(1(x1)))) -> 0(2(3(1(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:
{ 5(0(2(1(0(3(4(3(4(1(5(3(3(3(4(2(0(5(5(3(5(x1)))))))))))))))))))))
-> 3(5(1(1(0(5(4(5(2(1(5(0(4(4(4(3(4(4(1(5(x1))))))))))))))))))))
, 4(2(4(2(4(5(4(5(2(1(5(3(1(0(2(5(2(1(4(2(4(x1)))))))))))))))))))))
->
1(5(3(1(5(0(5(2(0(5(4(3(5(2(1(2(5(4(3(2(1(x1)))))))))))))))))))))
, 2(1(0(0(4(2(5(5(1(3(3(4(3(3(5(5(3(3(5(2(x1)))))))))))))))))))) ->
4(4(3(3(5(0(4(2(2(1(1(3(1(5(2(5(2(4(5(x1)))))))))))))))))))
, 1(4(1(4(1(5(2(4(4(3(3(4(5(4(4(1(2(0(2(3(x1)))))))))))))))))))) ->
1(2(1(5(0(1(0(4(4(4(2(5(0(1(5(1(1(4(3(3(x1))))))))))))))))))))
, 0(0(1(1(4(5(3(2(5(3(4(4(3(0(5(4(4(4(2(x1))))))))))))))))))) ->
0(0(4(5(1(4(1(5(3(0(4(0(3(3(4(0(4(0(4(x1)))))))))))))))))))
, 2(5(5(1(0(4(4(1(4(0(5(1(1(5(0(0(1(4(x1)))))))))))))))))) ->
3(3(1(0(0(1(1(1(2(1(2(0(2(4(4(3(5(0(x1))))))))))))))))))
, 5(0(2(4(4(4(4(3(1(2(2(2(2(2(2(5(2(x1))))))))))))))))) ->
5(4(0(4(4(3(5(5(4(3(0(5(5(5(0(0(x1))))))))))))))))
, 2(1(1(3(5(4(0(1(4(2(5(1(4(5(4(5(1(x1))))))))))))))))) ->
2(3(3(3(3(2(1(4(5(5(2(2(4(4(4(3(0(x1)))))))))))))))))
, 3(3(3(1(4(2(0(0(3(0(1(1(3(4(1(2(x1)))))))))))))))) ->
3(0(4(1(5(0(5(3(5(0(4(4(3(0(4(x1)))))))))))))))
, 2(1(2(3(2(1(2(5(5(5(0(0(3(2(1(1(x1)))))))))))))))) ->
4(4(1(1(3(3(1(4(2(1(3(0(3(2(3(x1)))))))))))))))
, 5(5(2(1(3(3(2(5(0(1(0(5(0(5(0(x1))))))))))))))) ->
2(3(5(0(2(4(1(0(5(4(3(0(5(0(x1))))))))))))))
, 5(3(5(5(4(0(2(2(4(3(2(2(1(4(1(x1))))))))))))))) ->
5(1(4(2(3(5(4(0(4(4(2(1(0(0(x1))))))))))))))
, 5(0(5(4(4(4(4(2(5(1(2(3(3(1(1(x1))))))))))))))) ->
1(3(0(5(3(1(3(1(0(3(3(1(0(3(x1))))))))))))))
, 4(4(5(3(0(2(0(0(0(3(5(0(2(1(x1)))))))))))))) ->
2(2(0(4(1(0(0(1(4(2(4(1(3(5(x1))))))))))))))
, 3(1(3(5(4(1(1(4(5(1(1(3(5(1(x1)))))))))))))) ->
3(2(1(2(4(3(5(1(5(5(1(3(4(x1)))))))))))))
, 2(1(4(5(5(0(2(4(0(5(4(4(1(4(x1)))))))))))))) ->
0(0(2(1(4(3(2(5(3(2(5(2(1(x1)))))))))))))
, 4(5(1(3(0(0(3(5(2(1(2(5(2(x1))))))))))))) ->
4(5(0(3(5(3(5(5(3(5(4(0(4(x1)))))))))))))
, 2(0(0(5(5(0(2(2(2(3(4(1(4(x1))))))))))))) ->
3(3(3(3(1(3(1(4(1(4(5(4(3(x1)))))))))))))
, 4(1(0(2(3(5(4(1(4(4(1(1(x1)))))))))))) ->
2(5(4(4(5(5(1(2(4(4(2(x1)))))))))))
, 4(0(4(2(3(5(0(1(4(4(5(0(x1)))))))))))) ->
3(5(0(2(5(1(2(5(1(4(1(x1)))))))))))
, 1(0(2(0(3(5(1(4(5(2(4(4(x1)))))))))))) ->
1(0(1(0(3(2(3(2(1(0(3(3(x1))))))))))))
, 2(2(2(0(3(3(2(0(4(5(0(x1))))))))))) ->
0(4(0(0(0(0(2(5(1(x1)))))))))
, 5(5(5(4(4(0(4(0(2(1(x1)))))))))) ->
5(4(5(4(0(5(0(4(0(3(x1))))))))))
, 5(0(3(1(4(1(0(1(0(x1))))))))) -> 2(2(4(1(3(2(2(3(0(x1)))))))))
, 5(5(0(4(3(3(x1)))))) -> 0(3(2(1(3(x1)))))
, 5(3(2(4(4(x1))))) -> 0(1(3(0(x1))))
, 4(1(2(3(4(x1))))) -> 1(5(3(0(x1))))
, 2(3(3(3(1(x1))))) -> 1(1(3(1(x1))))
, 2(1(4(0(1(x1))))) -> 3(0(0(1(x1))))
, 0(1(0(1(x1)))) -> 0(2(3(1(x1))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..