Tool Bounds
stdout:
YES(?,O(n^1))
We consider the following Problem:
Strict Trs:
{ 5(4(0(3(2(5(0(x1))))))) -> 2(4(3(2(4(1(1(0(5(5(x1))))))))))
, 5(4(0(3(2(3(5(x1))))))) -> 1(0(3(2(1(0(1(2(3(5(x1))))))))))
, 4(5(4(0(4(4(0(x1))))))) -> 0(3(1(3(4(0(0(5(5(5(x1))))))))))
, 4(2(4(4(4(5(4(x1))))))) -> 4(3(3(4(1(0(4(5(5(4(x1))))))))))
, 3(5(4(1(4(1(5(x1))))))) -> 3(1(5(2(5(3(2(5(2(5(x1))))))))))
, 2(5(4(4(5(4(1(x1))))))) -> 2(2(1(2(4(5(3(2(4(2(x1))))))))))
, 2(4(2(4(4(1(3(x1))))))) -> 0(3(2(2(1(0(1(1(0(3(x1))))))))))
, 2(3(5(4(4(0(5(x1))))))) -> 2(5(1(3(0(2(3(0(2(5(x1))))))))))
, 2(0(2(5(4(5(1(x1))))))) -> 0(0(5(3(0(2(1(2(4(0(x1))))))))))
, 1(5(4(4(1(4(5(x1))))))) -> 2(3(2(0(2(5(3(4(3(5(x1))))))))))
, 1(5(4(1(1(3(3(x1))))))) -> 0(5(3(2(0(1(3(3(2(3(x1))))))))))
, 1(4(4(5(4(2(4(x1))))))) -> 1(0(0(1(5(1(2(1(5(4(x1))))))))))
, 1(4(4(5(1(0(2(x1))))))) -> 2(3(0(1(4(0(1(4(2(3(x1))))))))))
, 1(4(1(0(4(0(3(x1))))))) -> 2(4(4(3(3(2(4(0(2(3(x1))))))))))
, 1(4(0(3(1(4(1(x1))))))) -> 0(4(1(3(3(3(4(2(2(0(x1))))))))))
, 1(1(5(5(4(0(5(x1))))))) -> 4(2(2(2(1(1(4(2(4(2(x1))))))))))
, 0(2(5(2(4(0(4(x1))))))) -> 4(3(0(1(2(1(0(2(0(1(x1))))))))))
, 5(4(5(4(4(5(x1)))))) -> 1(0(3(2(0(3(3(4(4(5(x1))))))))))
, 3(4(5(3(5(0(x1)))))) -> 3(4(3(3(2(3(5(3(3(0(x1))))))))))
, 2(3(5(4(5(1(x1)))))) -> 5(4(3(5(5(5(1(2(5(1(x1))))))))))
, 1(5(5(4(1(3(x1)))))) -> 3(5(1(3(2(1(1(4(3(3(x1))))))))))
, 1(5(4(5(0(4(x1)))))) -> 4(3(2(3(2(0(1(3(4(0(x1))))))))))
, 1(5(3(4(1(3(x1)))))) -> 1(1(3(1(1(2(0(1(2(3(x1))))))))))
, 1(4(2(1(4(0(x1)))))) -> 0(3(3(0(2(0(3(2(0(5(x1))))))))))
, 1(3(5(4(5(4(x1)))))) -> 2(3(2(0(1(2(5(2(1(5(x1))))))))))
, 1(3(2(5(4(0(x1)))))) -> 3(0(4(0(0(4(3(1(4(0(x1))))))))))
, 0(4(0(5(1(4(x1)))))) -> 0(0(3(3(1(2(0(3(2(4(x1))))))))))
, 0(3(4(5(1(3(x1)))))) -> 4(4(4(3(1(3(3(3(0(3(x1))))))))))
, 0(3(4(1(0(4(x1)))))) -> 2(4(1(4(3(3(3(0(0(4(x1))))))))))
, 5(4(1(4(1(x1))))) -> 0(1(0(2(0(1(2(4(4(2(x1))))))))))
, 4(1(4(2(0(x1))))) -> 0(4(2(1(3(1(0(3(3(0(x1))))))))))
, 4(0(0(4(5(x1))))) -> 3(3(2(0(0(1(4(3(3(5(x1))))))))))
, 3(1(5(1(1(x1))))) -> 3(5(0(5(3(1(2(5(5(1(x1))))))))))
, 2(5(4(5(0(x1))))) -> 1(1(2(4(2(0(2(0(5(0(x1))))))))))
, 1(4(5(5(4(x1))))) -> 2(0(1(0(2(3(4(2(5(1(x1))))))))))
, 1(1(5(5(4(x1))))) -> 1(3(0(0(0(2(3(3(4(1(x1))))))))))
, 0(3(4(5(4(x1))))) -> 1(0(1(2(4(2(3(1(2(4(x1))))))))))
, 0(3(4(0(4(x1))))) -> 2(0(2(1(3(0(4(2(3(4(x1))))))))))
, 5(4(4(5(x1)))) -> 1(1(2(3(2(0(3(1(2(0(x1))))))))))
, 4(1(4(0(x1)))) -> 4(0(2(2(1(1(0(0(5(2(x1))))))))))
, 5(4(0(x1))) -> 0(2(2(1(1(3(0(4(3(0(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:
{ 0_0(1) -> 1
, 0_1(1) -> 71
, 0_1(9) -> 8
, 0_1(10) -> 161
, 0_1(11) -> 71
, 0_1(12) -> 11
, 0_1(16) -> 15
, 0_1(18) -> 56
, 0_1(19) -> 1
, 0_1(19) -> 10
, 0_1(19) -> 33
, 0_1(19) -> 34
, 0_1(19) -> 48
, 0_1(19) -> 50
, 0_1(19) -> 71
, 0_1(19) -> 89
, 0_1(19) -> 106
, 0_1(19) -> 118
, 0_1(19) -> 122
, 0_1(19) -> 169
, 0_1(19) -> 175
, 0_1(19) -> 187
, 0_1(19) -> 226
, 0_1(24) -> 23
, 0_1(25) -> 24
, 0_1(26) -> 71
, 0_1(31) -> 30
, 0_1(34) -> 187
, 0_1(42) -> 63
, 0_1(50) -> 99
, 0_1(54) -> 53
, 0_1(57) -> 56
, 0_1(61) -> 60
, 0_1(64) -> 19
, 0_1(67) -> 66
, 0_1(74) -> 73
, 0_1(81) -> 80
, 0_1(83) -> 173
, 0_1(84) -> 99
, 0_1(85) -> 12
, 0_1(90) -> 72
, 0_1(93) -> 92
, 0_1(94) -> 234
, 0_1(100) -> 71
, 0_1(112) -> 27
, 0_1(116) -> 115
, 0_1(117) -> 186
, 0_1(118) -> 117
, 0_1(119) -> 14
, 0_1(122) -> 30
, 0_1(128) -> 197
, 0_1(130) -> 71
, 0_1(142) -> 200
, 0_1(144) -> 197
, 0_1(148) -> 147
, 0_1(155) -> 154
, 0_1(157) -> 156
, 0_1(159) -> 158
, 0_1(164) -> 35
, 0_1(166) -> 165
, 0_1(167) -> 166
, 0_1(174) -> 173
, 0_1(187) -> 186
, 0_1(189) -> 188
, 0_1(191) -> 190
, 0_1(200) -> 199
, 0_1(201) -> 200
, 0_1(204) -> 138
, 0_1(212) -> 211
, 0_1(214) -> 213
, 0_1(215) -> 2
, 0_1(217) -> 216
, 0_1(221) -> 220
, 0_1(222) -> 221
, 0_1(223) -> 222
, 0_1(235) -> 234
, 0_1(245) -> 244
, 0_1(254) -> 26
, 0_1(259) -> 258
, 0_1(260) -> 259
, 0_1(266) -> 265
, 0_2(19) -> 275
, 0_2(254) -> 284
, 0_2(267) -> 33
, 0_2(273) -> 272
, 0_2(276) -> 10
, 0_2(276) -> 33
, 0_2(276) -> 137
, 0_2(276) -> 214
, 0_2(282) -> 281
, 0_2(303) -> 302
, 0_2(307) -> 306
, 0_2(312) -> 311
, 0_2(313) -> 312
, 4_0(1) -> 1
, 4_1(1) -> 34
, 4_1(3) -> 2
, 4_1(6) -> 5
, 4_1(10) -> 122
, 4_1(11) -> 226
, 4_1(18) -> 77
, 4_1(23) -> 22
, 4_1(26) -> 1
, 4_1(26) -> 34
, 4_1(26) -> 49
, 4_1(26) -> 56
, 4_1(26) -> 63
, 4_1(26) -> 71
, 4_1(26) -> 89
, 4_1(26) -> 99
, 4_1(26) -> 118
, 4_1(26) -> 226
, 4_1(29) -> 28
, 4_1(32) -> 31
, 4_1(46) -> 45
, 4_1(48) -> 111
, 4_1(49) -> 193
, 4_1(50) -> 49
, 4_1(71) -> 70
, 4_1(83) -> 77
, 4_1(84) -> 94
, 4_1(88) -> 49
, 4_1(92) -> 91
, 4_1(95) -> 3
, 4_1(99) -> 98
, 4_1(100) -> 19
, 4_1(105) -> 104
, 4_1(118) -> 226
, 4_1(122) -> 121
, 4_1(123) -> 35
, 4_1(129) -> 266
, 4_1(131) -> 130
, 4_1(136) -> 219
, 4_1(144) -> 143
, 4_1(165) -> 164
, 4_1(168) -> 167
, 4_1(176) -> 26
, 4_1(177) -> 176
, 4_1(183) -> 182
, 4_1(203) -> 202
, 4_1(210) -> 209
, 4_1(229) -> 228
, 4_1(236) -> 235
, 4_2(274) -> 273
, 4_2(283) -> 282
, 4_2(306) -> 226
, 5_0(1) -> 1
, 5_1(1) -> 10
, 5_1(2) -> 33
, 5_1(9) -> 25
, 5_1(10) -> 9
, 5_1(11) -> 137
, 5_1(19) -> 10
, 5_1(26) -> 10
, 5_1(33) -> 32
, 5_1(34) -> 33
, 5_1(37) -> 36
, 5_1(39) -> 38
, 5_1(42) -> 41
, 5_1(47) -> 46
, 5_1(50) -> 260
, 5_1(58) -> 2
, 5_1(65) -> 64
, 5_1(71) -> 214
, 5_1(76) -> 75
, 5_1(78) -> 19
, 5_1(82) -> 127
, 5_1(84) -> 260
, 5_1(87) -> 86
, 5_1(88) -> 163
, 5_1(118) -> 137
, 5_1(128) -> 127
, 5_1(130) -> 1
, 5_1(130) -> 17
, 5_1(130) -> 50
, 5_1(130) -> 84
, 5_1(131) -> 10
, 5_1(133) -> 132
, 5_1(134) -> 133
, 5_1(135) -> 134
, 5_1(137) -> 208
, 5_1(138) -> 35
, 5_1(205) -> 204
, 5_1(254) -> 10
, 5_2(314) -> 313
, 3_0(1) -> 1
, 3_1(1) -> 57
, 3_1(2) -> 57
, 3_1(4) -> 3
, 3_1(10) -> 18
, 3_1(11) -> 144
, 3_1(13) -> 12
, 3_1(18) -> 203
, 3_1(19) -> 19
, 3_1(20) -> 19
, 3_1(22) -> 21
, 3_1(26) -> 129
, 3_1(27) -> 26
, 3_1(28) -> 27
, 3_1(34) -> 237
, 3_1(35) -> 1
, 3_1(35) -> 18
, 3_1(35) -> 34
, 3_1(35) -> 57
, 3_1(35) -> 70
, 3_1(35) -> 89
, 3_1(35) -> 118
, 3_1(35) -> 168
, 3_1(35) -> 237
, 3_1(40) -> 39
, 3_1(48) -> 47
, 3_1(50) -> 83
, 3_1(56) -> 181
, 3_1(57) -> 144
, 3_1(60) -> 59
, 3_1(63) -> 62
, 3_1(66) -> 65
, 3_1(70) -> 149
, 3_1(71) -> 129
, 3_1(72) -> 2
, 3_1(77) -> 76
, 3_1(79) -> 78
, 3_1(83) -> 82
, 3_1(84) -> 83
, 3_1(87) -> 230
, 3_1(96) -> 95
, 3_1(97) -> 96
, 3_1(99) -> 62
, 3_1(102) -> 101
, 3_1(103) -> 102
, 3_1(104) -> 103
, 3_1(110) -> 168
, 3_1(118) -> 168
, 3_1(120) -> 119
, 3_1(121) -> 120
, 3_1(124) -> 123
, 3_1(125) -> 124
, 3_1(127) -> 126
, 3_1(128) -> 183
, 3_1(129) -> 128
, 3_1(132) -> 131
, 3_1(138) -> 83
, 3_1(140) -> 139
, 3_1(146) -> 145
, 3_1(151) -> 150
, 3_1(156) -> 20
, 3_1(160) -> 159
, 3_1(169) -> 168
, 3_1(170) -> 64
, 3_1(171) -> 170
, 3_1(175) -> 174
, 3_1(178) -> 177
, 3_1(180) -> 179
, 3_1(181) -> 180
, 3_1(184) -> 183
, 3_1(185) -> 184
, 3_1(186) -> 185
, 3_1(193) -> 120
, 3_1(196) -> 195
, 3_1(198) -> 35
, 3_1(206) -> 205
, 3_1(219) -> 218
, 3_1(220) -> 11
, 3_1(225) -> 224
, 3_1(226) -> 225
, 3_1(231) -> 230
, 3_1(234) -> 233
, 3_1(243) -> 209
, 3_1(246) -> 245
, 3_1(261) -> 2
, 3_1(265) -> 264
, 3_2(102) -> 305
, 3_2(272) -> 271
, 3_2(275) -> 274
, 3_2(281) -> 280
, 3_2(284) -> 283
, 3_2(299) -> 298
, 1_0(1) -> 1
, 1_1(1) -> 118
, 1_1(7) -> 6
, 1_1(8) -> 7
, 1_1(10) -> 89
, 1_1(11) -> 1
, 1_1(11) -> 10
, 1_1(11) -> 33
, 1_1(11) -> 42
, 1_1(11) -> 50
, 1_1(11) -> 56
, 1_1(11) -> 71
, 1_1(11) -> 89
, 1_1(11) -> 118
, 1_1(15) -> 14
, 1_1(17) -> 16
, 1_1(21) -> 20
, 1_1(26) -> 118
, 1_1(30) -> 29
, 1_1(33) -> 89
, 1_1(36) -> 35
, 1_1(42) -> 135
, 1_1(44) -> 43
, 1_1(50) -> 155
, 1_1(53) -> 52
, 1_1(55) -> 54
, 1_1(56) -> 55
, 1_1(59) -> 58
, 1_1(69) -> 68
, 1_1(70) -> 169
, 1_1(71) -> 55
, 1_1(82) -> 81
, 1_1(84) -> 155
, 1_1(86) -> 85
, 1_1(88) -> 87
, 1_1(91) -> 90
, 1_1(94) -> 93
, 1_1(100) -> 118
, 1_1(101) -> 100
, 1_1(106) -> 246
, 1_1(110) -> 109
, 1_1(111) -> 110
, 1_1(113) -> 112
, 1_1(115) -> 114
, 1_1(131) -> 11
, 1_1(136) -> 135
, 1_1(139) -> 138
, 1_1(142) -> 141
, 1_1(143) -> 142
, 1_1(149) -> 148
, 1_1(150) -> 11
, 1_1(152) -> 151
, 1_1(153) -> 152
, 1_1(154) -> 14
, 1_1(162) -> 74
, 1_1(172) -> 171
, 1_1(175) -> 231
, 1_1(179) -> 178
, 1_1(182) -> 3
, 1_1(183) -> 178
, 1_1(188) -> 19
, 1_1(192) -> 191
, 1_1(195) -> 194
, 1_1(197) -> 196
, 1_1(202) -> 201
, 1_1(207) -> 206
, 1_1(216) -> 215
, 1_1(227) -> 12
, 1_1(233) -> 232
, 1_1(257) -> 256
, 1_1(258) -> 257
, 1_1(263) -> 262
, 1_1(264) -> 263
, 1_2(270) -> 269
, 1_2(271) -> 270
, 1_2(279) -> 278
, 1_2(280) -> 279
, 1_2(297) -> 89
, 1_2(298) -> 297
, 1_2(300) -> 299
, 1_2(301) -> 300
, 1_2(304) -> 303
, 1_2(310) -> 309
, 1_2(311) -> 310
, 2_0(1) -> 1
, 2_1(1) -> 50
, 2_1(2) -> 1
, 2_1(2) -> 10
, 2_1(2) -> 17
, 2_1(2) -> 33
, 2_1(2) -> 42
, 2_1(2) -> 50
, 2_1(2) -> 56
, 2_1(2) -> 71
, 2_1(2) -> 84
, 2_1(2) -> 89
, 2_1(2) -> 118
, 2_1(5) -> 4
, 2_1(10) -> 42
, 2_1(11) -> 50
, 2_1(14) -> 13
, 2_1(18) -> 17
, 2_1(19) -> 84
, 2_1(34) -> 175
, 2_1(35) -> 50
, 2_1(38) -> 37
, 2_1(41) -> 40
, 2_1(43) -> 2
, 2_1(45) -> 44
, 2_1(49) -> 48
, 2_1(51) -> 20
, 2_1(52) -> 51
, 2_1(57) -> 84
, 2_1(62) -> 61
, 2_1(68) -> 67
, 2_1(70) -> 69
, 2_1(71) -> 106
, 2_1(73) -> 72
, 2_1(75) -> 74
, 2_1(78) -> 50
, 2_1(80) -> 79
, 2_1(89) -> 88
, 2_1(98) -> 97
, 2_1(106) -> 105
, 2_1(107) -> 26
, 2_1(108) -> 107
, 2_1(109) -> 108
, 2_1(114) -> 113
, 2_1(117) -> 116
, 2_1(126) -> 125
, 2_1(130) -> 88
, 2_1(137) -> 136
, 2_1(141) -> 140
, 2_1(145) -> 27
, 2_1(147) -> 146
, 2_1(154) -> 153
, 2_1(158) -> 157
, 2_1(161) -> 160
, 2_1(163) -> 162
, 2_1(173) -> 172
, 2_1(190) -> 189
, 2_1(193) -> 192
, 2_1(194) -> 100
, 2_1(199) -> 198
, 2_1(208) -> 207
, 2_1(209) -> 150
, 2_1(211) -> 210
, 2_1(213) -> 212
, 2_1(218) -> 217
, 2_1(224) -> 223
, 2_1(228) -> 227
, 2_1(230) -> 229
, 2_1(232) -> 215
, 2_1(237) -> 236
, 2_1(244) -> 243
, 2_1(254) -> 50
, 2_1(255) -> 254
, 2_1(256) -> 255
, 2_1(260) -> 40
, 2_1(261) -> 19
, 2_1(262) -> 261
, 2_2(254) -> 314
, 2_2(268) -> 267
, 2_2(269) -> 268
, 2_2(277) -> 276
, 2_2(278) -> 277
, 2_2(302) -> 301
, 2_2(305) -> 304
, 2_2(308) -> 307
, 2_2(309) -> 308}
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:
{ 5(4(0(3(2(5(0(x1))))))) -> 2(4(3(2(4(1(1(0(5(5(x1))))))))))
, 5(4(0(3(2(3(5(x1))))))) -> 1(0(3(2(1(0(1(2(3(5(x1))))))))))
, 4(5(4(0(4(4(0(x1))))))) -> 0(3(1(3(4(0(0(5(5(5(x1))))))))))
, 4(2(4(4(4(5(4(x1))))))) -> 4(3(3(4(1(0(4(5(5(4(x1))))))))))
, 3(5(4(1(4(1(5(x1))))))) -> 3(1(5(2(5(3(2(5(2(5(x1))))))))))
, 2(5(4(4(5(4(1(x1))))))) -> 2(2(1(2(4(5(3(2(4(2(x1))))))))))
, 2(4(2(4(4(1(3(x1))))))) -> 0(3(2(2(1(0(1(1(0(3(x1))))))))))
, 2(3(5(4(4(0(5(x1))))))) -> 2(5(1(3(0(2(3(0(2(5(x1))))))))))
, 2(0(2(5(4(5(1(x1))))))) -> 0(0(5(3(0(2(1(2(4(0(x1))))))))))
, 1(5(4(4(1(4(5(x1))))))) -> 2(3(2(0(2(5(3(4(3(5(x1))))))))))
, 1(5(4(1(1(3(3(x1))))))) -> 0(5(3(2(0(1(3(3(2(3(x1))))))))))
, 1(4(4(5(4(2(4(x1))))))) -> 1(0(0(1(5(1(2(1(5(4(x1))))))))))
, 1(4(4(5(1(0(2(x1))))))) -> 2(3(0(1(4(0(1(4(2(3(x1))))))))))
, 1(4(1(0(4(0(3(x1))))))) -> 2(4(4(3(3(2(4(0(2(3(x1))))))))))
, 1(4(0(3(1(4(1(x1))))))) -> 0(4(1(3(3(3(4(2(2(0(x1))))))))))
, 1(1(5(5(4(0(5(x1))))))) -> 4(2(2(2(1(1(4(2(4(2(x1))))))))))
, 0(2(5(2(4(0(4(x1))))))) -> 4(3(0(1(2(1(0(2(0(1(x1))))))))))
, 5(4(5(4(4(5(x1)))))) -> 1(0(3(2(0(3(3(4(4(5(x1))))))))))
, 3(4(5(3(5(0(x1)))))) -> 3(4(3(3(2(3(5(3(3(0(x1))))))))))
, 2(3(5(4(5(1(x1)))))) -> 5(4(3(5(5(5(1(2(5(1(x1))))))))))
, 1(5(5(4(1(3(x1)))))) -> 3(5(1(3(2(1(1(4(3(3(x1))))))))))
, 1(5(4(5(0(4(x1)))))) -> 4(3(2(3(2(0(1(3(4(0(x1))))))))))
, 1(5(3(4(1(3(x1)))))) -> 1(1(3(1(1(2(0(1(2(3(x1))))))))))
, 1(4(2(1(4(0(x1)))))) -> 0(3(3(0(2(0(3(2(0(5(x1))))))))))
, 1(3(5(4(5(4(x1)))))) -> 2(3(2(0(1(2(5(2(1(5(x1))))))))))
, 1(3(2(5(4(0(x1)))))) -> 3(0(4(0(0(4(3(1(4(0(x1))))))))))
, 0(4(0(5(1(4(x1)))))) -> 0(0(3(3(1(2(0(3(2(4(x1))))))))))
, 0(3(4(5(1(3(x1)))))) -> 4(4(4(3(1(3(3(3(0(3(x1))))))))))
, 0(3(4(1(0(4(x1)))))) -> 2(4(1(4(3(3(3(0(0(4(x1))))))))))
, 5(4(1(4(1(x1))))) -> 0(1(0(2(0(1(2(4(4(2(x1))))))))))
, 4(1(4(2(0(x1))))) -> 0(4(2(1(3(1(0(3(3(0(x1))))))))))
, 4(0(0(4(5(x1))))) -> 3(3(2(0(0(1(4(3(3(5(x1))))))))))
, 3(1(5(1(1(x1))))) -> 3(5(0(5(3(1(2(5(5(1(x1))))))))))
, 2(5(4(5(0(x1))))) -> 1(1(2(4(2(0(2(0(5(0(x1))))))))))
, 1(4(5(5(4(x1))))) -> 2(0(1(0(2(3(4(2(5(1(x1))))))))))
, 1(1(5(5(4(x1))))) -> 1(3(0(0(0(2(3(3(4(1(x1))))))))))
, 0(3(4(5(4(x1))))) -> 1(0(1(2(4(2(3(1(2(4(x1))))))))))
, 0(3(4(0(4(x1))))) -> 2(0(2(1(3(0(4(2(3(4(x1))))))))))
, 5(4(4(5(x1)))) -> 1(1(2(3(2(0(3(1(2(0(x1))))))))))
, 4(1(4(0(x1)))) -> 4(0(2(2(1(1(0(0(5(2(x1))))))))))
, 5(4(0(x1))) -> 0(2(2(1(1(3(0(4(3(0(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(4(0(3(2(5(0(x1))))))) -> 2(4(3(2(4(1(1(0(5(5(x1))))))))))
, 5(4(0(3(2(3(5(x1))))))) -> 1(0(3(2(1(0(1(2(3(5(x1))))))))))
, 4(5(4(0(4(4(0(x1))))))) -> 0(3(1(3(4(0(0(5(5(5(x1))))))))))
, 4(2(4(4(4(5(4(x1))))))) -> 4(3(3(4(1(0(4(5(5(4(x1))))))))))
, 3(5(4(1(4(1(5(x1))))))) -> 3(1(5(2(5(3(2(5(2(5(x1))))))))))
, 2(5(4(4(5(4(1(x1))))))) -> 2(2(1(2(4(5(3(2(4(2(x1))))))))))
, 2(4(2(4(4(1(3(x1))))))) -> 0(3(2(2(1(0(1(1(0(3(x1))))))))))
, 2(3(5(4(4(0(5(x1))))))) -> 2(5(1(3(0(2(3(0(2(5(x1))))))))))
, 2(0(2(5(4(5(1(x1))))))) -> 0(0(5(3(0(2(1(2(4(0(x1))))))))))
, 1(5(4(4(1(4(5(x1))))))) -> 2(3(2(0(2(5(3(4(3(5(x1))))))))))
, 1(5(4(1(1(3(3(x1))))))) -> 0(5(3(2(0(1(3(3(2(3(x1))))))))))
, 1(4(4(5(4(2(4(x1))))))) -> 1(0(0(1(5(1(2(1(5(4(x1))))))))))
, 1(4(4(5(1(0(2(x1))))))) -> 2(3(0(1(4(0(1(4(2(3(x1))))))))))
, 1(4(1(0(4(0(3(x1))))))) -> 2(4(4(3(3(2(4(0(2(3(x1))))))))))
, 1(4(0(3(1(4(1(x1))))))) -> 0(4(1(3(3(3(4(2(2(0(x1))))))))))
, 1(1(5(5(4(0(5(x1))))))) -> 4(2(2(2(1(1(4(2(4(2(x1))))))))))
, 0(2(5(2(4(0(4(x1))))))) -> 4(3(0(1(2(1(0(2(0(1(x1))))))))))
, 5(4(5(4(4(5(x1)))))) -> 1(0(3(2(0(3(3(4(4(5(x1))))))))))
, 3(4(5(3(5(0(x1)))))) -> 3(4(3(3(2(3(5(3(3(0(x1))))))))))
, 2(3(5(4(5(1(x1)))))) -> 5(4(3(5(5(5(1(2(5(1(x1))))))))))
, 1(5(5(4(1(3(x1)))))) -> 3(5(1(3(2(1(1(4(3(3(x1))))))))))
, 1(5(4(5(0(4(x1)))))) -> 4(3(2(3(2(0(1(3(4(0(x1))))))))))
, 1(5(3(4(1(3(x1)))))) -> 1(1(3(1(1(2(0(1(2(3(x1))))))))))
, 1(4(2(1(4(0(x1)))))) -> 0(3(3(0(2(0(3(2(0(5(x1))))))))))
, 1(3(5(4(5(4(x1)))))) -> 2(3(2(0(1(2(5(2(1(5(x1))))))))))
, 1(3(2(5(4(0(x1)))))) -> 3(0(4(0(0(4(3(1(4(0(x1))))))))))
, 0(4(0(5(1(4(x1)))))) -> 0(0(3(3(1(2(0(3(2(4(x1))))))))))
, 0(3(4(5(1(3(x1)))))) -> 4(4(4(3(1(3(3(3(0(3(x1))))))))))
, 0(3(4(1(0(4(x1)))))) -> 2(4(1(4(3(3(3(0(0(4(x1))))))))))
, 5(4(1(4(1(x1))))) -> 0(1(0(2(0(1(2(4(4(2(x1))))))))))
, 4(1(4(2(0(x1))))) -> 0(4(2(1(3(1(0(3(3(0(x1))))))))))
, 4(0(0(4(5(x1))))) -> 3(3(2(0(0(1(4(3(3(5(x1))))))))))
, 3(1(5(1(1(x1))))) -> 3(5(0(5(3(1(2(5(5(1(x1))))))))))
, 2(5(4(5(0(x1))))) -> 1(1(2(4(2(0(2(0(5(0(x1))))))))))
, 1(4(5(5(4(x1))))) -> 2(0(1(0(2(3(4(2(5(1(x1))))))))))
, 1(1(5(5(4(x1))))) -> 1(3(0(0(0(2(3(3(4(1(x1))))))))))
, 0(3(4(5(4(x1))))) -> 1(0(1(2(4(2(3(1(2(4(x1))))))))))
, 0(3(4(0(4(x1))))) -> 2(0(2(1(3(0(4(2(3(4(x1))))))))))
, 5(4(4(5(x1)))) -> 1(1(2(3(2(0(3(1(2(0(x1))))))))))
, 4(1(4(0(x1)))) -> 4(0(2(2(1(1(0(0(5(2(x1))))))))))
, 5(4(0(x1))) -> 0(2(2(1(1(3(0(4(3(0(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(4(0(3(2(5(0(x1))))))) -> 2(4(3(2(4(1(1(0(5(5(x1))))))))))
, 5(4(0(3(2(3(5(x1))))))) -> 1(0(3(2(1(0(1(2(3(5(x1))))))))))
, 4(5(4(0(4(4(0(x1))))))) -> 0(3(1(3(4(0(0(5(5(5(x1))))))))))
, 4(2(4(4(4(5(4(x1))))))) -> 4(3(3(4(1(0(4(5(5(4(x1))))))))))
, 3(5(4(1(4(1(5(x1))))))) -> 3(1(5(2(5(3(2(5(2(5(x1))))))))))
, 2(5(4(4(5(4(1(x1))))))) -> 2(2(1(2(4(5(3(2(4(2(x1))))))))))
, 2(4(2(4(4(1(3(x1))))))) -> 0(3(2(2(1(0(1(1(0(3(x1))))))))))
, 2(3(5(4(4(0(5(x1))))))) -> 2(5(1(3(0(2(3(0(2(5(x1))))))))))
, 2(0(2(5(4(5(1(x1))))))) -> 0(0(5(3(0(2(1(2(4(0(x1))))))))))
, 1(5(4(4(1(4(5(x1))))))) -> 2(3(2(0(2(5(3(4(3(5(x1))))))))))
, 1(5(4(1(1(3(3(x1))))))) -> 0(5(3(2(0(1(3(3(2(3(x1))))))))))
, 1(4(4(5(4(2(4(x1))))))) -> 1(0(0(1(5(1(2(1(5(4(x1))))))))))
, 1(4(4(5(1(0(2(x1))))))) -> 2(3(0(1(4(0(1(4(2(3(x1))))))))))
, 1(4(1(0(4(0(3(x1))))))) -> 2(4(4(3(3(2(4(0(2(3(x1))))))))))
, 1(4(0(3(1(4(1(x1))))))) -> 0(4(1(3(3(3(4(2(2(0(x1))))))))))
, 1(1(5(5(4(0(5(x1))))))) -> 4(2(2(2(1(1(4(2(4(2(x1))))))))))
, 0(2(5(2(4(0(4(x1))))))) -> 4(3(0(1(2(1(0(2(0(1(x1))))))))))
, 5(4(5(4(4(5(x1)))))) -> 1(0(3(2(0(3(3(4(4(5(x1))))))))))
, 3(4(5(3(5(0(x1)))))) -> 3(4(3(3(2(3(5(3(3(0(x1))))))))))
, 2(3(5(4(5(1(x1)))))) -> 5(4(3(5(5(5(1(2(5(1(x1))))))))))
, 1(5(5(4(1(3(x1)))))) -> 3(5(1(3(2(1(1(4(3(3(x1))))))))))
, 1(5(4(5(0(4(x1)))))) -> 4(3(2(3(2(0(1(3(4(0(x1))))))))))
, 1(5(3(4(1(3(x1)))))) -> 1(1(3(1(1(2(0(1(2(3(x1))))))))))
, 1(4(2(1(4(0(x1)))))) -> 0(3(3(0(2(0(3(2(0(5(x1))))))))))
, 1(3(5(4(5(4(x1)))))) -> 2(3(2(0(1(2(5(2(1(5(x1))))))))))
, 1(3(2(5(4(0(x1)))))) -> 3(0(4(0(0(4(3(1(4(0(x1))))))))))
, 0(4(0(5(1(4(x1)))))) -> 0(0(3(3(1(2(0(3(2(4(x1))))))))))
, 0(3(4(5(1(3(x1)))))) -> 4(4(4(3(1(3(3(3(0(3(x1))))))))))
, 0(3(4(1(0(4(x1)))))) -> 2(4(1(4(3(3(3(0(0(4(x1))))))))))
, 5(4(1(4(1(x1))))) -> 0(1(0(2(0(1(2(4(4(2(x1))))))))))
, 4(1(4(2(0(x1))))) -> 0(4(2(1(3(1(0(3(3(0(x1))))))))))
, 4(0(0(4(5(x1))))) -> 3(3(2(0(0(1(4(3(3(5(x1))))))))))
, 3(1(5(1(1(x1))))) -> 3(5(0(5(3(1(2(5(5(1(x1))))))))))
, 2(5(4(5(0(x1))))) -> 1(1(2(4(2(0(2(0(5(0(x1))))))))))
, 1(4(5(5(4(x1))))) -> 2(0(1(0(2(3(4(2(5(1(x1))))))))))
, 1(1(5(5(4(x1))))) -> 1(3(0(0(0(2(3(3(4(1(x1))))))))))
, 0(3(4(5(4(x1))))) -> 1(0(1(2(4(2(3(1(2(4(x1))))))))))
, 0(3(4(0(4(x1))))) -> 2(0(2(1(3(0(4(2(3(4(x1))))))))))
, 5(4(4(5(x1)))) -> 1(1(2(3(2(0(3(1(2(0(x1))))))))))
, 4(1(4(0(x1)))) -> 4(0(2(2(1(1(0(0(5(2(x1))))))))))
, 5(4(0(x1))) -> 0(2(2(1(1(3(0(4(3(0(x1))))))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..