Tool Bounds
stdout:
YES(?,O(n^1))
We consider the following Problem:
Strict Trs:
{ 3(3(0(5(3(5(1(2(5(1(2(1(2(1(4(0(1(2(3(1(5(x1)))))))))))))))))))))
-> 0(2(0(5(5(4(5(2(5(0(0(4(2(0(5(5(5(3(1(5(x1))))))))))))))))))))
, 1(3(0(5(3(1(1(1(0(3(3(0(1(3(3(4(3(5(3(0(5(x1)))))))))))))))))))))
->
1(5(3(3(1(3(3(4(0(5(5(0(3(2(4(1(2(3(3(4(5(x1)))))))))))))))))))))
, 2(5(2(1(1(0(4(3(3(0(4(5(4(3(0(4(1(0(4(0(x1)))))))))))))))))))) ->
5(1(1(0(1(3(5(5(0(5(3(4(5(1(0(0(2(3(2(0(x1))))))))))))))))))))
, 2(5(0(5(2(1(3(1(4(5(5(0(0(2(3(0(3(2(4(3(x1)))))))))))))))))))) ->
0(2(0(0(3(1(4(2(5(2(0(5(4(4(1(1(0(4(3(x1)))))))))))))))))))
, 3(1(3(5(4(1(0(4(1(2(4(2(3(3(1(3(1(3(x1)))))))))))))))))) ->
0(3(3(0(0(3(3(4(4(1(4(1(5(2(2(4(3(x1)))))))))))))))))
, 2(4(0(5(0(0(4(4(2(2(3(5(3(4(5(0(x1)))))))))))))))) ->
2(3(1(3(0(1(1(1(0(5(5(0(2(3(4(0(x1))))))))))))))))
, 0(5(0(3(3(3(2(3(1(1(1(2(5(1(2(5(x1)))))))))))))))) ->
0(5(1(4(3(3(4(4(1(1(4(1(0(1(4(x1)))))))))))))))
, 5(5(1(4(1(3(4(2(3(4(3(1(2(0(5(x1))))))))))))))) ->
1(3(5(1(1(2(1(2(0(3(0(1(1(2(0(x1)))))))))))))))
, 3(4(0(2(1(1(0(4(1(1(0(2(3(5(3(x1))))))))))))))) ->
2(4(5(0(0(3(0(3(0(4(4(1(1(3(x1))))))))))))))
, 4(1(3(3(0(5(2(3(3(3(0(5(4(3(x1)))))))))))))) ->
4(4(2(2(0(3(1(1(5(1(3(0(5(3(x1))))))))))))))
, 3(2(0(2(1(1(4(1(3(1(4(5(2(4(x1)))))))))))))) ->
0(2(2(4(4(5(4(1(0(0(5(0(0(x1)))))))))))))
, 3(3(0(4(4(1(1(1(3(1(2(1(x1)))))))))))) ->
3(3(5(3(0(1(4(4(0(0(1(x1)))))))))))
, 3(0(5(4(5(3(0(0(0(5(1(1(x1)))))))))))) ->
3(2(4(1(4(0(3(0(2(1(1(3(x1))))))))))))
, 3(0(2(0(2(1(2(5(4(3(5(4(x1)))))))))))) ->
3(2(2(0(3(0(5(4(5(1(5(4(x1))))))))))))
, 3(3(0(2(0(1(4(5(5(5(0(x1))))))))))) ->
1(2(3(5(4(4(0(2(3(5(5(x1)))))))))))
, 4(1(3(0(0(5(1(5(0(1(x1)))))))))) ->
4(0(4(2(2(3(0(3(0(1(x1))))))))))
, 3(4(1(1(0(0(5(0(5(0(x1)))))))))) ->
3(0(1(0(1(1(3(0(4(5(x1))))))))))
, 3(2(3(1(3(5(5(2(2(0(x1)))))))))) -> 4(0(0(0(0(2(2(2(0(x1)))))))))
, 0(2(3(0(2(0(3(5(2(4(x1)))))))))) -> 2(0(4(5(4(4(5(4(0(x1)))))))))
, 2(2(1(5(0(2(2(2(4(x1))))))))) -> 2(0(0(4(5(5(0(x1)))))))
, 1(3(3(2(1(4(4(0(x1)))))))) -> 1(1(3(0(4(4(0(2(x1))))))))
, 4(5(3(1(0(0(4(x1))))))) -> 4(5(0(1(4(5(4(x1)))))))
, 2(2(1(4(0(x1))))) -> 2(2(1(3(5(x1)))))
, 3(4(0(x1))) -> 4(5(5(x1)))
, 0(1(1(x1))) -> 2(1(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) -> 230
, 1_1(20) -> 19
, 1_1(21) -> 1
, 1_1(21) -> 20
, 1_1(21) -> 73
, 1_1(21) -> 135
, 1_1(21) -> 144
, 1_1(21) -> 230
, 1_1(21) -> 253
, 1_1(21) -> 287
, 1_1(21) -> 288
, 1_1(21) -> 296
, 1_1(25) -> 24
, 1_1(36) -> 35
, 1_1(39) -> 112
, 1_1(41) -> 40
, 1_1(42) -> 41
, 1_1(44) -> 43
, 1_1(53) -> 52
, 1_1(57) -> 124
, 1_1(61) -> 60
, 1_1(70) -> 69
, 1_1(71) -> 70
, 1_1(73) -> 135
, 1_1(82) -> 81
, 1_1(84) -> 83
, 1_1(89) -> 88
, 1_1(92) -> 91
, 1_1(93) -> 92
, 1_1(94) -> 93
, 1_1(102) -> 101
, 1_1(108) -> 107
, 1_1(109) -> 108
, 1_1(111) -> 110
, 1_1(113) -> 112
, 1_1(116) -> 115
, 1_1(117) -> 116
, 1_1(119) -> 118
, 1_1(124) -> 123
, 1_1(135) -> 134
, 1_1(142) -> 141
, 1_1(143) -> 142
, 1_1(145) -> 144
, 1_1(161) -> 160
, 1_1(226) -> 225
, 1_1(230) -> 87
, 1_1(233) -> 232
, 1_1(245) -> 244
, 1_1(252) -> 286
, 1_1(261) -> 260
, 1_1(263) -> 262
, 1_1(264) -> 263
, 1_1(278) -> 21
, 1_1(285) -> 284
, 1_1(296) -> 1
, 1_2(1) -> 296
, 1_2(21) -> 294
, 1_2(42) -> 296
, 1_2(57) -> 298
, 1_2(93) -> 300
, 1_2(264) -> 302
, 1_2(278) -> 304
, 1_2(294) -> 293
, 1_2(295) -> 293
, 1_2(296) -> 295
, 1_2(298) -> 297
, 1_2(300) -> 299
, 1_2(302) -> 301
, 1_2(304) -> 303
, 1_2(541) -> 540
, 1_2(670) -> 669
, 0_0(1) -> 1
, 0_1(1) -> 58
, 0_1(2) -> 1
, 0_1(2) -> 18
, 0_1(2) -> 21
, 0_1(2) -> 56
, 0_1(2) -> 57
, 0_1(2) -> 58
, 0_1(2) -> 73
, 0_1(2) -> 539
, 0_1(4) -> 3
, 0_1(11) -> 10
, 0_1(12) -> 11
, 0_1(15) -> 14
, 0_1(20) -> 58
, 0_1(29) -> 28
, 0_1(32) -> 31
, 0_1(39) -> 265
, 0_1(40) -> 1
, 0_1(43) -> 42
, 0_1(48) -> 47
, 0_1(54) -> 53
, 0_1(55) -> 54
, 0_1(57) -> 282
, 0_1(58) -> 164
, 0_1(59) -> 4
, 0_1(66) -> 65
, 0_1(72) -> 71
, 0_1(73) -> 258
, 0_1(76) -> 75
, 0_1(77) -> 76
, 0_1(87) -> 58
, 0_1(91) -> 90
, 0_1(95) -> 94
, 0_1(98) -> 97
, 0_1(101) -> 1
, 0_1(112) -> 111
, 0_1(113) -> 265
, 0_1(121) -> 120
, 0_1(123) -> 122
, 0_1(125) -> 58
, 0_1(127) -> 126
, 0_1(128) -> 127
, 0_1(130) -> 129
, 0_1(132) -> 131
, 0_1(136) -> 58
, 0_1(137) -> 58
, 0_1(140) -> 139
, 0_1(147) -> 146
, 0_1(162) -> 161
, 0_1(163) -> 162
, 0_1(225) -> 224
, 0_1(229) -> 228
, 0_1(230) -> 229
, 0_1(235) -> 234
, 0_1(237) -> 236
, 0_1(239) -> 238
, 0_1(241) -> 240
, 0_1(251) -> 250
, 0_1(253) -> 58
, 0_1(254) -> 136
, 0_1(255) -> 58
, 0_1(259) -> 258
, 0_1(260) -> 221
, 0_1(262) -> 261
, 0_1(266) -> 254
, 0_1(267) -> 266
, 0_1(268) -> 267
, 0_1(270) -> 87
, 0_1(275) -> 270
, 0_1(280) -> 279
, 0_1(284) -> 283
, 0_2(20) -> 539
, 0_2(125) -> 539
, 0_2(136) -> 539
, 0_2(137) -> 539
, 0_2(253) -> 539
, 0_2(255) -> 539
, 0_2(535) -> 534
, 0_2(536) -> 535
, 0_2(539) -> 673
, 0_2(663) -> 56
, 0_2(671) -> 670
, 0_2(672) -> 671
, 2_0(1) -> 1
, 2_1(1) -> 57
, 2_1(2) -> 57
, 2_1(3) -> 2
, 2_1(9) -> 8
, 2_1(14) -> 13
, 2_1(34) -> 33
, 2_1(37) -> 36
, 2_1(38) -> 98
, 2_1(40) -> 1
, 2_1(40) -> 57
, 2_1(56) -> 55
, 2_1(57) -> 269
, 2_1(58) -> 57
, 2_1(63) -> 62
, 2_1(65) -> 64
, 2_1(72) -> 86
, 2_1(86) -> 85
, 2_1(87) -> 1
, 2_1(87) -> 38
, 2_1(87) -> 57
, 2_1(87) -> 58
, 2_1(87) -> 73
, 2_1(87) -> 99
, 2_1(87) -> 229
, 2_1(87) -> 269
, 2_1(87) -> 282
, 2_1(99) -> 98
, 2_1(101) -> 57
, 2_1(118) -> 117
, 2_1(120) -> 119
, 2_1(134) -> 237
, 2_1(135) -> 87
, 2_1(136) -> 57
, 2_1(138) -> 137
, 2_1(139) -> 138
, 2_1(150) -> 3
, 2_1(230) -> 1
, 2_1(230) -> 58
, 2_1(231) -> 221
, 2_1(238) -> 231
, 2_1(246) -> 21
, 2_1(252) -> 251
, 2_1(254) -> 57
, 2_1(256) -> 255
, 2_1(257) -> 256
, 2_1(266) -> 57
, 2_1(267) -> 57
, 2_1(269) -> 268
, 2_1(286) -> 87
, 2_2(293) -> 58
, 2_2(293) -> 229
, 2_2(295) -> 1
, 2_2(295) -> 38
, 2_2(295) -> 57
, 2_2(295) -> 58
, 2_2(295) -> 73
, 2_2(295) -> 99
, 2_2(295) -> 229
, 2_2(295) -> 269
, 2_2(295) -> 282
, 2_2(297) -> 122
, 2_2(299) -> 90
, 2_2(301) -> 261
, 2_2(303) -> 58
, 2_2(303) -> 229
, 2_2(303) -> 258
, 2_2(303) -> 539
, 2_2(534) -> 57
, 2_2(540) -> 295
, 2_2(664) -> 663
, 2_2(665) -> 664
, 4_0(1) -> 1
, 4_1(1) -> 113
, 4_1(2) -> 39
, 4_1(7) -> 6
, 4_1(13) -> 12
, 4_1(20) -> 1
, 4_1(20) -> 39
, 4_1(20) -> 73
, 4_1(20) -> 113
, 4_1(21) -> 72
, 4_1(28) -> 27
, 4_1(35) -> 34
, 4_1(40) -> 113
, 4_1(51) -> 50
, 4_1(58) -> 100
, 4_1(62) -> 61
, 4_1(68) -> 67
, 4_1(69) -> 68
, 4_1(73) -> 72
, 4_1(80) -> 79
, 4_1(81) -> 80
, 4_1(83) -> 82
, 4_1(100) -> 226
, 4_1(103) -> 102
, 4_1(106) -> 105
, 4_1(107) -> 106
, 4_1(110) -> 109
, 4_1(125) -> 87
, 4_1(133) -> 132
, 4_1(134) -> 133
, 4_1(136) -> 1
, 4_1(136) -> 39
, 4_1(136) -> 56
, 4_1(136) -> 73
, 4_1(136) -> 113
, 4_1(137) -> 136
, 4_1(153) -> 150
, 4_1(156) -> 153
, 4_1(160) -> 159
, 4_1(164) -> 227
, 4_1(227) -> 226
, 4_1(228) -> 227
, 4_1(229) -> 39
, 4_1(232) -> 231
, 4_1(234) -> 233
, 4_1(243) -> 242
, 4_1(245) -> 285
, 4_1(249) -> 248
, 4_1(250) -> 249
, 4_1(253) -> 1
, 4_1(253) -> 38
, 4_1(253) -> 73
, 4_1(254) -> 39
, 4_1(255) -> 254
, 4_1(266) -> 39
, 4_1(267) -> 39
, 4_1(268) -> 39
, 4_1(271) -> 270
, 4_1(273) -> 272
, 4_1(274) -> 273
, 4_1(276) -> 275
, 4_1(281) -> 280
, 4_1(282) -> 281
, 4_1(283) -> 39
, 4_2(287) -> 38
, 4_2(287) -> 99
, 4_2(289) -> 26
, 4_2(291) -> 38
, 4_2(291) -> 73
, 4_2(537) -> 536
, 4_2(666) -> 665
, 4_2(667) -> 666
, 4_2(669) -> 668
, 3_0(1) -> 1
, 3_1(1) -> 73
, 3_1(2) -> 21
, 3_1(19) -> 18
, 3_1(20) -> 252
, 3_1(21) -> 73
, 3_1(23) -> 22
, 3_1(24) -> 23
, 3_1(26) -> 25
, 3_1(27) -> 26
, 3_1(33) -> 32
, 3_1(38) -> 37
, 3_1(39) -> 38
, 3_1(42) -> 73
, 3_1(45) -> 44
, 3_1(50) -> 49
, 3_1(57) -> 56
, 3_1(58) -> 259
, 3_1(60) -> 59
, 3_1(72) -> 99
, 3_1(74) -> 2
, 3_1(75) -> 74
, 3_1(78) -> 77
, 3_1(79) -> 78
, 3_1(88) -> 87
, 3_1(90) -> 89
, 3_1(100) -> 99
, 3_1(104) -> 103
, 3_1(105) -> 104
, 3_1(113) -> 38
, 3_1(114) -> 21
, 3_1(122) -> 121
, 3_1(129) -> 128
, 3_1(131) -> 130
, 3_1(141) -> 140
, 3_1(146) -> 145
, 3_1(221) -> 1
, 3_1(221) -> 38
, 3_1(221) -> 73
, 3_1(221) -> 145
, 3_1(221) -> 259
, 3_1(222) -> 221
, 3_1(224) -> 223
, 3_1(229) -> 259
, 3_1(230) -> 18
, 3_1(236) -> 235
, 3_1(240) -> 239
, 3_1(247) -> 246
, 3_1(253) -> 252
, 3_1(258) -> 257
, 3_1(265) -> 264
, 3_1(278) -> 21
, 3_1(279) -> 278
, 3_1(296) -> 21
, 3_2(292) -> 541
, 5_0(1) -> 1
, 5_1(1) -> 20
, 5_1(2) -> 20
, 5_1(5) -> 4
, 5_1(6) -> 5
, 5_1(8) -> 7
, 5_1(10) -> 9
, 5_1(16) -> 15
, 5_1(17) -> 16
, 5_1(18) -> 17
, 5_1(19) -> 243
, 5_1(20) -> 253
, 5_1(22) -> 21
, 5_1(30) -> 29
, 5_1(31) -> 30
, 5_1(40) -> 1
, 5_1(40) -> 57
, 5_1(46) -> 45
, 5_1(47) -> 46
, 5_1(49) -> 48
, 5_1(52) -> 51
, 5_1(58) -> 277
, 5_1(64) -> 63
, 5_1(67) -> 66
, 5_1(73) -> 147
, 5_1(85) -> 84
, 5_1(96) -> 95
, 5_1(97) -> 96
, 5_1(100) -> 274
, 5_1(101) -> 2
, 5_1(113) -> 245
, 5_1(115) -> 114
, 5_1(126) -> 125
, 5_1(144) -> 143
, 5_1(147) -> 16
, 5_1(159) -> 156
, 5_1(164) -> 163
, 5_1(223) -> 222
, 5_1(229) -> 20
, 5_1(230) -> 243
, 5_1(242) -> 241
, 5_1(244) -> 243
, 5_1(248) -> 247
, 5_1(254) -> 1
, 5_1(266) -> 1
, 5_1(267) -> 1
, 5_1(268) -> 1
, 5_1(272) -> 271
, 5_1(277) -> 276
, 5_1(283) -> 136
, 5_2(1) -> 288
, 5_2(2) -> 288
, 5_2(20) -> 288
, 5_2(29) -> 290
, 5_2(40) -> 288
, 5_2(87) -> 288
, 5_2(101) -> 288
, 5_2(125) -> 288
, 5_2(136) -> 288
, 5_2(137) -> 288
, 5_2(230) -> 288
, 5_2(253) -> 288
, 5_2(254) -> 292
, 5_2(255) -> 288
, 5_2(266) -> 288
, 5_2(267) -> 288
, 5_2(268) -> 288
, 5_2(284) -> 288
, 5_2(288) -> 287
, 5_2(290) -> 289
, 5_2(292) -> 291
, 5_2(538) -> 537
, 5_2(539) -> 538
, 5_2(668) -> 667
, 5_2(673) -> 672}
Hurray, we answered YES(?,O(n^1))Tool EDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 3(3(0(5(3(5(1(2(5(1(2(1(2(1(4(0(1(2(3(1(5(x1)))))))))))))))))))))
-> 0(2(0(5(5(4(5(2(5(0(0(4(2(0(5(5(5(3(1(5(x1))))))))))))))))))))
, 1(3(0(5(3(1(1(1(0(3(3(0(1(3(3(4(3(5(3(0(5(x1)))))))))))))))))))))
->
1(5(3(3(1(3(3(4(0(5(5(0(3(2(4(1(2(3(3(4(5(x1)))))))))))))))))))))
, 2(5(2(1(1(0(4(3(3(0(4(5(4(3(0(4(1(0(4(0(x1)))))))))))))))))))) ->
5(1(1(0(1(3(5(5(0(5(3(4(5(1(0(0(2(3(2(0(x1))))))))))))))))))))
, 2(5(0(5(2(1(3(1(4(5(5(0(0(2(3(0(3(2(4(3(x1)))))))))))))))))))) ->
0(2(0(0(3(1(4(2(5(2(0(5(4(4(1(1(0(4(3(x1)))))))))))))))))))
, 3(1(3(5(4(1(0(4(1(2(4(2(3(3(1(3(1(3(x1)))))))))))))))))) ->
0(3(3(0(0(3(3(4(4(1(4(1(5(2(2(4(3(x1)))))))))))))))))
, 2(4(0(5(0(0(4(4(2(2(3(5(3(4(5(0(x1)))))))))))))))) ->
2(3(1(3(0(1(1(1(0(5(5(0(2(3(4(0(x1))))))))))))))))
, 0(5(0(3(3(3(2(3(1(1(1(2(5(1(2(5(x1)))))))))))))))) ->
0(5(1(4(3(3(4(4(1(1(4(1(0(1(4(x1)))))))))))))))
, 5(5(1(4(1(3(4(2(3(4(3(1(2(0(5(x1))))))))))))))) ->
1(3(5(1(1(2(1(2(0(3(0(1(1(2(0(x1)))))))))))))))
, 3(4(0(2(1(1(0(4(1(1(0(2(3(5(3(x1))))))))))))))) ->
2(4(5(0(0(3(0(3(0(4(4(1(1(3(x1))))))))))))))
, 4(1(3(3(0(5(2(3(3(3(0(5(4(3(x1)))))))))))))) ->
4(4(2(2(0(3(1(1(5(1(3(0(5(3(x1))))))))))))))
, 3(2(0(2(1(1(4(1(3(1(4(5(2(4(x1)))))))))))))) ->
0(2(2(4(4(5(4(1(0(0(5(0(0(x1)))))))))))))
, 3(3(0(4(4(1(1(1(3(1(2(1(x1)))))))))))) ->
3(3(5(3(0(1(4(4(0(0(1(x1)))))))))))
, 3(0(5(4(5(3(0(0(0(5(1(1(x1)))))))))))) ->
3(2(4(1(4(0(3(0(2(1(1(3(x1))))))))))))
, 3(0(2(0(2(1(2(5(4(3(5(4(x1)))))))))))) ->
3(2(2(0(3(0(5(4(5(1(5(4(x1))))))))))))
, 3(3(0(2(0(1(4(5(5(5(0(x1))))))))))) ->
1(2(3(5(4(4(0(2(3(5(5(x1)))))))))))
, 4(1(3(0(0(5(1(5(0(1(x1)))))))))) ->
4(0(4(2(2(3(0(3(0(1(x1))))))))))
, 3(4(1(1(0(0(5(0(5(0(x1)))))))))) ->
3(0(1(0(1(1(3(0(4(5(x1))))))))))
, 3(2(3(1(3(5(5(2(2(0(x1)))))))))) -> 4(0(0(0(0(2(2(2(0(x1)))))))))
, 0(2(3(0(2(0(3(5(2(4(x1)))))))))) -> 2(0(4(5(4(4(5(4(0(x1)))))))))
, 2(2(1(5(0(2(2(2(4(x1))))))))) -> 2(0(0(4(5(5(0(x1)))))))
, 1(3(3(2(1(4(4(0(x1)))))))) -> 1(1(3(0(4(4(0(2(x1))))))))
, 4(5(3(1(0(0(4(x1))))))) -> 4(5(0(1(4(5(4(x1)))))))
, 2(2(1(4(0(x1))))) -> 2(2(1(3(5(x1)))))
, 3(4(0(x1))) -> 4(5(5(x1)))
, 0(1(1(x1))) -> 2(1(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:
{ 3(3(0(5(3(5(1(2(5(1(2(1(2(1(4(0(1(2(3(1(5(x1)))))))))))))))))))))
-> 0(2(0(5(5(4(5(2(5(0(0(4(2(0(5(5(5(3(1(5(x1))))))))))))))))))))
, 1(3(0(5(3(1(1(1(0(3(3(0(1(3(3(4(3(5(3(0(5(x1)))))))))))))))))))))
->
1(5(3(3(1(3(3(4(0(5(5(0(3(2(4(1(2(3(3(4(5(x1)))))))))))))))))))))
, 2(5(2(1(1(0(4(3(3(0(4(5(4(3(0(4(1(0(4(0(x1)))))))))))))))))))) ->
5(1(1(0(1(3(5(5(0(5(3(4(5(1(0(0(2(3(2(0(x1))))))))))))))))))))
, 2(5(0(5(2(1(3(1(4(5(5(0(0(2(3(0(3(2(4(3(x1)))))))))))))))))))) ->
0(2(0(0(3(1(4(2(5(2(0(5(4(4(1(1(0(4(3(x1)))))))))))))))))))
, 3(1(3(5(4(1(0(4(1(2(4(2(3(3(1(3(1(3(x1)))))))))))))))))) ->
0(3(3(0(0(3(3(4(4(1(4(1(5(2(2(4(3(x1)))))))))))))))))
, 2(4(0(5(0(0(4(4(2(2(3(5(3(4(5(0(x1)))))))))))))))) ->
2(3(1(3(0(1(1(1(0(5(5(0(2(3(4(0(x1))))))))))))))))
, 0(5(0(3(3(3(2(3(1(1(1(2(5(1(2(5(x1)))))))))))))))) ->
0(5(1(4(3(3(4(4(1(1(4(1(0(1(4(x1)))))))))))))))
, 5(5(1(4(1(3(4(2(3(4(3(1(2(0(5(x1))))))))))))))) ->
1(3(5(1(1(2(1(2(0(3(0(1(1(2(0(x1)))))))))))))))
, 3(4(0(2(1(1(0(4(1(1(0(2(3(5(3(x1))))))))))))))) ->
2(4(5(0(0(3(0(3(0(4(4(1(1(3(x1))))))))))))))
, 4(1(3(3(0(5(2(3(3(3(0(5(4(3(x1)))))))))))))) ->
4(4(2(2(0(3(1(1(5(1(3(0(5(3(x1))))))))))))))
, 3(2(0(2(1(1(4(1(3(1(4(5(2(4(x1)))))))))))))) ->
0(2(2(4(4(5(4(1(0(0(5(0(0(x1)))))))))))))
, 3(3(0(4(4(1(1(1(3(1(2(1(x1)))))))))))) ->
3(3(5(3(0(1(4(4(0(0(1(x1)))))))))))
, 3(0(5(4(5(3(0(0(0(5(1(1(x1)))))))))))) ->
3(2(4(1(4(0(3(0(2(1(1(3(x1))))))))))))
, 3(0(2(0(2(1(2(5(4(3(5(4(x1)))))))))))) ->
3(2(2(0(3(0(5(4(5(1(5(4(x1))))))))))))
, 3(3(0(2(0(1(4(5(5(5(0(x1))))))))))) ->
1(2(3(5(4(4(0(2(3(5(5(x1)))))))))))
, 4(1(3(0(0(5(1(5(0(1(x1)))))))))) ->
4(0(4(2(2(3(0(3(0(1(x1))))))))))
, 3(4(1(1(0(0(5(0(5(0(x1)))))))))) ->
3(0(1(0(1(1(3(0(4(5(x1))))))))))
, 3(2(3(1(3(5(5(2(2(0(x1)))))))))) -> 4(0(0(0(0(2(2(2(0(x1)))))))))
, 0(2(3(0(2(0(3(5(2(4(x1)))))))))) -> 2(0(4(5(4(4(5(4(0(x1)))))))))
, 2(2(1(5(0(2(2(2(4(x1))))))))) -> 2(0(0(4(5(5(0(x1)))))))
, 1(3(3(2(1(4(4(0(x1)))))))) -> 1(1(3(0(4(4(0(2(x1))))))))
, 4(5(3(1(0(0(4(x1))))))) -> 4(5(0(1(4(5(4(x1)))))))
, 2(2(1(4(0(x1))))) -> 2(2(1(3(5(x1)))))
, 3(4(0(x1))) -> 4(5(5(x1)))
, 0(1(1(x1))) -> 2(1(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:
{ 3(3(0(5(3(5(1(2(5(1(2(1(2(1(4(0(1(2(3(1(5(x1)))))))))))))))))))))
-> 0(2(0(5(5(4(5(2(5(0(0(4(2(0(5(5(5(3(1(5(x1))))))))))))))))))))
, 1(3(0(5(3(1(1(1(0(3(3(0(1(3(3(4(3(5(3(0(5(x1)))))))))))))))))))))
->
1(5(3(3(1(3(3(4(0(5(5(0(3(2(4(1(2(3(3(4(5(x1)))))))))))))))))))))
, 2(5(2(1(1(0(4(3(3(0(4(5(4(3(0(4(1(0(4(0(x1)))))))))))))))))))) ->
5(1(1(0(1(3(5(5(0(5(3(4(5(1(0(0(2(3(2(0(x1))))))))))))))))))))
, 2(5(0(5(2(1(3(1(4(5(5(0(0(2(3(0(3(2(4(3(x1)))))))))))))))))))) ->
0(2(0(0(3(1(4(2(5(2(0(5(4(4(1(1(0(4(3(x1)))))))))))))))))))
, 3(1(3(5(4(1(0(4(1(2(4(2(3(3(1(3(1(3(x1)))))))))))))))))) ->
0(3(3(0(0(3(3(4(4(1(4(1(5(2(2(4(3(x1)))))))))))))))))
, 2(4(0(5(0(0(4(4(2(2(3(5(3(4(5(0(x1)))))))))))))))) ->
2(3(1(3(0(1(1(1(0(5(5(0(2(3(4(0(x1))))))))))))))))
, 0(5(0(3(3(3(2(3(1(1(1(2(5(1(2(5(x1)))))))))))))))) ->
0(5(1(4(3(3(4(4(1(1(4(1(0(1(4(x1)))))))))))))))
, 5(5(1(4(1(3(4(2(3(4(3(1(2(0(5(x1))))))))))))))) ->
1(3(5(1(1(2(1(2(0(3(0(1(1(2(0(x1)))))))))))))))
, 3(4(0(2(1(1(0(4(1(1(0(2(3(5(3(x1))))))))))))))) ->
2(4(5(0(0(3(0(3(0(4(4(1(1(3(x1))))))))))))))
, 4(1(3(3(0(5(2(3(3(3(0(5(4(3(x1)))))))))))))) ->
4(4(2(2(0(3(1(1(5(1(3(0(5(3(x1))))))))))))))
, 3(2(0(2(1(1(4(1(3(1(4(5(2(4(x1)))))))))))))) ->
0(2(2(4(4(5(4(1(0(0(5(0(0(x1)))))))))))))
, 3(3(0(4(4(1(1(1(3(1(2(1(x1)))))))))))) ->
3(3(5(3(0(1(4(4(0(0(1(x1)))))))))))
, 3(0(5(4(5(3(0(0(0(5(1(1(x1)))))))))))) ->
3(2(4(1(4(0(3(0(2(1(1(3(x1))))))))))))
, 3(0(2(0(2(1(2(5(4(3(5(4(x1)))))))))))) ->
3(2(2(0(3(0(5(4(5(1(5(4(x1))))))))))))
, 3(3(0(2(0(1(4(5(5(5(0(x1))))))))))) ->
1(2(3(5(4(4(0(2(3(5(5(x1)))))))))))
, 4(1(3(0(0(5(1(5(0(1(x1)))))))))) ->
4(0(4(2(2(3(0(3(0(1(x1))))))))))
, 3(4(1(1(0(0(5(0(5(0(x1)))))))))) ->
3(0(1(0(1(1(3(0(4(5(x1))))))))))
, 3(2(3(1(3(5(5(2(2(0(x1)))))))))) -> 4(0(0(0(0(2(2(2(0(x1)))))))))
, 0(2(3(0(2(0(3(5(2(4(x1)))))))))) -> 2(0(4(5(4(4(5(4(0(x1)))))))))
, 2(2(1(5(0(2(2(2(4(x1))))))))) -> 2(0(0(4(5(5(0(x1)))))))
, 1(3(3(2(1(4(4(0(x1)))))))) -> 1(1(3(0(4(4(0(2(x1))))))))
, 4(5(3(1(0(0(4(x1))))))) -> 4(5(0(1(4(5(4(x1)))))))
, 2(2(1(4(0(x1))))) -> 2(2(1(3(5(x1)))))
, 3(4(0(x1))) -> 4(5(5(x1)))
, 0(1(1(x1))) -> 2(1(1(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:
{ 3(3(0(5(3(5(1(2(5(1(2(1(2(1(4(0(1(2(3(1(5(x1)))))))))))))))))))))
-> 0(2(0(5(5(4(5(2(5(0(0(4(2(0(5(5(5(3(1(5(x1))))))))))))))))))))
, 1(3(0(5(3(1(1(1(0(3(3(0(1(3(3(4(3(5(3(0(5(x1)))))))))))))))))))))
->
1(5(3(3(1(3(3(4(0(5(5(0(3(2(4(1(2(3(3(4(5(x1)))))))))))))))))))))
, 2(5(2(1(1(0(4(3(3(0(4(5(4(3(0(4(1(0(4(0(x1)))))))))))))))))))) ->
5(1(1(0(1(3(5(5(0(5(3(4(5(1(0(0(2(3(2(0(x1))))))))))))))))))))
, 2(5(0(5(2(1(3(1(4(5(5(0(0(2(3(0(3(2(4(3(x1)))))))))))))))))))) ->
0(2(0(0(3(1(4(2(5(2(0(5(4(4(1(1(0(4(3(x1)))))))))))))))))))
, 3(1(3(5(4(1(0(4(1(2(4(2(3(3(1(3(1(3(x1)))))))))))))))))) ->
0(3(3(0(0(3(3(4(4(1(4(1(5(2(2(4(3(x1)))))))))))))))))
, 2(4(0(5(0(0(4(4(2(2(3(5(3(4(5(0(x1)))))))))))))))) ->
2(3(1(3(0(1(1(1(0(5(5(0(2(3(4(0(x1))))))))))))))))
, 0(5(0(3(3(3(2(3(1(1(1(2(5(1(2(5(x1)))))))))))))))) ->
0(5(1(4(3(3(4(4(1(1(4(1(0(1(4(x1)))))))))))))))
, 5(5(1(4(1(3(4(2(3(4(3(1(2(0(5(x1))))))))))))))) ->
1(3(5(1(1(2(1(2(0(3(0(1(1(2(0(x1)))))))))))))))
, 3(4(0(2(1(1(0(4(1(1(0(2(3(5(3(x1))))))))))))))) ->
2(4(5(0(0(3(0(3(0(4(4(1(1(3(x1))))))))))))))
, 4(1(3(3(0(5(2(3(3(3(0(5(4(3(x1)))))))))))))) ->
4(4(2(2(0(3(1(1(5(1(3(0(5(3(x1))))))))))))))
, 3(2(0(2(1(1(4(1(3(1(4(5(2(4(x1)))))))))))))) ->
0(2(2(4(4(5(4(1(0(0(5(0(0(x1)))))))))))))
, 3(3(0(4(4(1(1(1(3(1(2(1(x1)))))))))))) ->
3(3(5(3(0(1(4(4(0(0(1(x1)))))))))))
, 3(0(5(4(5(3(0(0(0(5(1(1(x1)))))))))))) ->
3(2(4(1(4(0(3(0(2(1(1(3(x1))))))))))))
, 3(0(2(0(2(1(2(5(4(3(5(4(x1)))))))))))) ->
3(2(2(0(3(0(5(4(5(1(5(4(x1))))))))))))
, 3(3(0(2(0(1(4(5(5(5(0(x1))))))))))) ->
1(2(3(5(4(4(0(2(3(5(5(x1)))))))))))
, 4(1(3(0(0(5(1(5(0(1(x1)))))))))) ->
4(0(4(2(2(3(0(3(0(1(x1))))))))))
, 3(4(1(1(0(0(5(0(5(0(x1)))))))))) ->
3(0(1(0(1(1(3(0(4(5(x1))))))))))
, 3(2(3(1(3(5(5(2(2(0(x1)))))))))) -> 4(0(0(0(0(2(2(2(0(x1)))))))))
, 0(2(3(0(2(0(3(5(2(4(x1)))))))))) -> 2(0(4(5(4(4(5(4(0(x1)))))))))
, 2(2(1(5(0(2(2(2(4(x1))))))))) -> 2(0(0(4(5(5(0(x1)))))))
, 1(3(3(2(1(4(4(0(x1)))))))) -> 1(1(3(0(4(4(0(2(x1))))))))
, 4(5(3(1(0(0(4(x1))))))) -> 4(5(0(1(4(5(4(x1)))))))
, 2(2(1(4(0(x1))))) -> 2(2(1(3(5(x1)))))
, 3(4(0(x1))) -> 4(5(5(x1)))
, 0(1(1(x1))) -> 2(1(1(x1)))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..