/export/starexec/sandbox2/solver/bin/starexec_run_tct_dc /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: 0(2(5(4(3(2(x1)))))) -> 0(2(1(5(2(0(1(2(1(2(x1)))))))))) 1(0(5(2(3(4(x1)))))) -> 1(0(0(1(3(0(4(1(0(3(x1)))))))))) 1(1(5(0(2(3(x1)))))) -> 0(0(4(5(1(1(1(2(2(3(x1)))))))))) 1(4(0(5(5(0(5(x1))))))) -> 1(4(3(3(0(4(1(5(3(3(x1)))))))))) 1(5(0(x1))) -> 1(4(4(4(4(0(4(0(1(1(x1)))))))))) 2(1(0(0(3(2(x1)))))) -> 2(1(4(3(0(0(3(0(3(2(x1)))))))))) 2(2(3(5(1(2(5(x1))))))) -> 2(2(1(2(4(0(3(3(2(5(x1)))))))))) 2(3(0(4(x1)))) -> 2(0(0(1(1(3(0(2(4(4(x1)))))))))) 2(3(5(x1))) -> 2(4(0(0(1(5(1(2(2(1(x1)))))))))) 2(5(x1)) -> 2(4(0(0(4(1(0(0(1(3(x1)))))))))) 2(5(x1)) -> 2(4(3(0(2(2(2(1(4(3(x1)))))))))) 2(5(0(5(5(5(x1)))))) -> 2(0(1(2(4(0(5(3(5(5(x1)))))))))) 2(5(3(0(2(1(x1)))))) -> 2(1(4(5(2(1(2(5(2(1(x1)))))))))) 2(5(5(x1))) -> 2(0(3(0(4(0(3(3(3(4(x1)))))))))) 3(1(5(2(5(x1))))) -> 3(0(2(4(1(2(0(0(5(2(x1)))))))))) 3(4(2(3(3(5(5(x1))))))) -> 5(3(2(4(0(2(4(4(0(5(x1)))))))))) 3(5(0(4(5(5(x1)))))) -> 3(4(0(3(4(5(2(0(3(3(x1)))))))))) 4(0(2(3(4(2(x1)))))) -> 4(0(0(3(1(4(3(0(2(2(x1)))))))))) 4(2(5(3(4(5(5(x1))))))) -> 5(1(5(2(5(0(4(1(1(0(x1)))))))))) 4(2(5(5(4(2(4(x1))))))) -> 5(5(3(2(0(2(1(0(3(0(x1)))))))))) 4(5(4(x1))) -> 4(1(1(1(2(1(4(5(2(4(x1)))))))))) 4(5(5(4(2(3(2(x1))))))) -> 4(1(1(5(3(5(1(2(4(2(x1)))))))))) 5(2(5(5(1(0(x1)))))) -> 5(5(4(4(0(4(2(0(1(4(x1)))))))))) 5(4(2(3(0(5(x1)))))) -> 5(5(4(5(4(3(4(1(3(1(x1)))))))))) 5(5(1(0(x1)))) -> 3(2(2(0(5(1(3(4(0(4(x1)))))))))) 5(5(1(1(1(5(x1)))))) -> 5(0(1(0(1(1(0(1(4(1(x1)))))))))) 5(5(2(5(5(0(x1)))))) -> 3(4(5(2(5(3(4(4(1(0(x1)))))))))) 5(5(4(5(5(4(x1)))))) -> 2(2(2(5(5(4(3(4(0(4(x1)))))))))) 5(5(5(5(2(5(x1)))))) -> 2(2(3(1(1(4(3(2(4(5(x1)))))))))) - Signature: {0/1,1/1,2/1,3/1,4/1,5/1} / {} - Obligation: derivational complexity wrt. signature {0,1,2,3,4,5} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 2. The enriched problem is compatible with follwoing automaton. 0_0(1) -> 1 0_1(1) -> 149 0_1(2) -> 1 0_1(2) -> 39 0_1(2) -> 40 0_1(2) -> 149 0_1(7) -> 6 0_1(12) -> 11 0_1(13) -> 12 0_1(16) -> 15 0_1(19) -> 18 0_1(20) -> 2 0_1(30) -> 29 0_1(33) -> 133 0_1(37) -> 36 0_1(39) -> 38 0_1(45) -> 44 0_1(46) -> 45 0_1(48) -> 47 0_1(53) -> 52 0_1(56) -> 127 0_1(57) -> 41 0_1(58) -> 57 0_1(62) -> 61 0_1(64) -> 186 0_1(65) -> 149 0_1(66) -> 65 0_1(67) -> 66 0_1(74) -> 73 0_1(75) -> 74 0_1(86) -> 85 0_1(100) -> 99 0_1(106) -> 119 0_1(108) -> 107 0_1(110) -> 109 0_1(114) -> 113 0_1(119) -> 118 0_1(120) -> 149 0_1(124) -> 123 0_1(129) -> 128 0_1(134) -> 149 0_1(135) -> 134 0_1(136) -> 135 0_1(141) -> 140 0_1(146) -> 145 0_1(150) -> 186 0_1(153) -> 152 0_1(155) -> 44 0_1(156) -> 155 0_1(171) -> 170 0_1(174) -> 173 0_1(182) -> 181 0_1(196) -> 120 0_1(198) -> 197 0_1(201) -> 200 0_2(78) -> 77 0_2(79) -> 78 0_2(82) -> 81 0_2(83) -> 82 0_2(92) -> 91 0_2(190) -> 189 0_2(195) -> 194 0_2(222) -> 221 0_2(224) -> 223 0_2(228) -> 227 0_2(229) -> 228 0_2(237) -> 236 0_2(238) -> 237 0_2(241) -> 240 0_2(242) -> 241 0_2(246) -> 245 0_2(247) -> 246 0_2(250) -> 249 0_2(251) -> 250 0_2(255) -> 254 0_2(256) -> 255 0_2(259) -> 258 0_2(260) -> 259 0_2(264) -> 263 0_2(265) -> 264 0_2(268) -> 267 0_2(269) -> 268 0_2(273) -> 272 0_2(274) -> 273 0_2(277) -> 276 0_2(278) -> 277 0_2(281) -> 280 0_2(293) -> 292 0_2(299) -> 298 0_2(305) -> 304 0_2(311) -> 310 0_2(316) -> 76 0_2(319) -> 318 0_2(323) -> 322 0_2(332) -> 244 0_2(334) -> 333 0_2(336) -> 335 0_2(340) -> 271 0_2(342) -> 341 0_2(344) -> 343 0_2(349) -> 348 0_2(354) -> 353 0_2(355) -> 354 0_2(386) -> 385 0_2(387) -> 386 0_2(390) -> 389 0_2(391) -> 390 0_2(394) -> 393 1_0(1) -> 1 1_1(1) -> 40 1_1(2) -> 40 1_1(4) -> 3 1_1(8) -> 7 1_1(10) -> 9 1_1(11) -> 1 1_1(11) -> 40 1_1(11) -> 148 1_1(11) -> 174 1_1(14) -> 13 1_1(18) -> 17 1_1(19) -> 75 1_1(23) -> 22 1_1(24) -> 23 1_1(25) -> 24 1_1(32) -> 31 1_1(40) -> 39 1_1(42) -> 41 1_1(50) -> 49 1_1(59) -> 58 1_1(60) -> 59 1_1(64) -> 174 1_1(68) -> 67 1_1(70) -> 69 1_1(73) -> 72 1_1(90) -> 89 1_1(97) -> 57 1_1(105) -> 104 1_1(113) -> 9 1_1(117) -> 116 1_1(120) -> 40 1_1(138) -> 137 1_1(142) -> 120 1_1(148) -> 147 1_1(149) -> 148 1_1(155) -> 154 1_1(157) -> 134 1_1(158) -> 157 1_1(159) -> 158 1_1(161) -> 160 1_1(167) -> 166 1_1(179) -> 178 1_1(184) -> 183 1_1(186) -> 148 1_1(196) -> 40 1_1(197) -> 196 1_1(199) -> 198 1_1(200) -> 199 1_1(202) -> 201 1_1(212) -> 211 1_1(213) -> 212 1_2(81) -> 80 1_2(84) -> 83 1_2(96) -> 95 1_2(120) -> 234 1_2(150) -> 234 1_2(192) -> 191 1_2(196) -> 225 1_2(203) -> 234 1_2(217) -> 40 1_2(217) -> 75 1_2(217) -> 83 1_2(217) -> 174 1_2(225) -> 224 1_2(230) -> 229 1_2(232) -> 231 1_2(240) -> 239 1_2(243) -> 242 1_2(249) -> 248 1_2(252) -> 251 1_2(258) -> 257 1_2(261) -> 260 1_2(267) -> 266 1_2(270) -> 269 1_2(276) -> 275 1_2(279) -> 278 1_2(285) -> 284 1_2(297) -> 296 1_2(303) -> 302 1_2(309) -> 308 1_2(315) -> 314 1_2(352) -> 351 1_2(358) -> 357 1_2(359) -> 358 1_2(360) -> 359 1_2(362) -> 361 1_2(367) -> 366 1_2(368) -> 367 1_2(369) -> 368 1_2(371) -> 370 1_2(376) -> 375 1_2(377) -> 376 1_2(378) -> 377 1_2(380) -> 379 1_2(389) -> 388 1_2(392) -> 391 1_2(398) -> 397 2_0(1) -> 1 2_1(1) -> 10 2_1(2) -> 25 2_1(3) -> 2 2_1(6) -> 5 2_1(9) -> 8 2_1(10) -> 141 2_1(19) -> 26 2_1(26) -> 25 2_1(40) -> 71 2_1(41) -> 1 2_1(41) -> 10 2_1(41) -> 25 2_1(41) -> 26 2_1(41) -> 55 2_1(41) -> 56 2_1(41) -> 71 2_1(41) -> 102 2_1(41) -> 141 2_1(49) -> 41 2_1(51) -> 50 2_1(56) -> 55 2_1(63) -> 62 2_1(64) -> 163 2_1(71) -> 70 2_1(87) -> 86 2_1(88) -> 87 2_1(89) -> 88 2_1(98) -> 97 2_1(104) -> 103 2_1(106) -> 105 2_1(115) -> 114 2_1(118) -> 117 2_1(120) -> 2 2_1(122) -> 121 2_1(125) -> 124 2_1(133) -> 132 2_1(144) -> 143 2_1(152) -> 151 2_1(154) -> 153 2_1(160) -> 159 2_1(168) -> 167 2_1(173) -> 172 2_1(180) -> 113 2_1(181) -> 180 2_1(204) -> 203 2_1(208) -> 49 2_1(216) -> 215 2_2(76) -> 55 2_2(93) -> 92 2_2(94) -> 93 2_2(95) -> 94 2_2(145) -> 356 2_2(188) -> 187 2_2(189) -> 188 2_2(226) -> 26 2_2(233) -> 232 2_2(234) -> 233 2_2(235) -> 105 2_2(244) -> 10 2_2(244) -> 26 2_2(244) -> 55 2_2(244) -> 105 2_2(244) -> 163 2_2(244) -> 167 2_2(253) -> 143 2_2(262) -> 203 2_2(271) -> 49 2_2(282) -> 281 2_2(283) -> 282 2_2(284) -> 283 2_2(294) -> 293 2_2(295) -> 294 2_2(296) -> 295 2_2(300) -> 299 2_2(301) -> 300 2_2(302) -> 301 2_2(306) -> 305 2_2(307) -> 306 2_2(308) -> 307 2_2(312) -> 311 2_2(313) -> 312 2_2(314) -> 313 2_2(350) -> 349 2_2(353) -> 352 2_2(361) -> 360 2_2(365) -> 364 2_2(370) -> 369 2_2(374) -> 373 2_2(379) -> 378 2_2(383) -> 382 2_2(384) -> 2 2_2(395) -> 394 2_2(396) -> 395 2_2(397) -> 396 3_0(1) -> 1 3_1(1) -> 19 3_1(10) -> 48 3_1(15) -> 14 3_1(19) -> 33 3_1(28) -> 27 3_1(29) -> 28 3_1(40) -> 179 3_1(44) -> 43 3_1(47) -> 46 3_1(54) -> 53 3_1(55) -> 54 3_1(61) -> 60 3_1(64) -> 112 3_1(85) -> 65 3_1(102) -> 101 3_1(107) -> 57 3_1(111) -> 110 3_1(112) -> 111 3_1(113) -> 1 3_1(113) -> 19 3_1(113) -> 56 3_1(113) -> 84 3_1(113) -> 102 3_1(113) -> 179 3_1(120) -> 19 3_1(121) -> 120 3_1(128) -> 19 3_1(130) -> 129 3_1(134) -> 19 3_1(137) -> 136 3_1(140) -> 139 3_1(149) -> 156 3_1(150) -> 19 3_1(151) -> 150 3_1(165) -> 164 3_1(177) -> 176 3_1(185) -> 184 3_1(206) -> 205 3_1(211) -> 49 3_1(215) -> 214 3_2(1) -> 84 3_2(2) -> 243 3_2(10) -> 243 3_2(71) -> 243 3_2(91) -> 77 3_2(120) -> 252 3_2(145) -> 261 3_2(150) -> 392 3_2(187) -> 102 3_2(193) -> 192 3_2(205) -> 270 3_2(209) -> 279 3_2(280) -> 236 3_2(292) -> 245 3_2(298) -> 254 3_2(304) -> 263 3_2(310) -> 272 3_2(318) -> 316 3_2(324) -> 323 3_2(325) -> 324 3_2(326) -> 325 3_2(333) -> 332 3_2(337) -> 336 3_2(338) -> 337 3_2(339) -> 338 3_2(341) -> 340 3_2(345) -> 344 3_2(346) -> 345 3_2(347) -> 346 3_2(348) -> 19 3_2(348) -> 252 3_2(393) -> 385 4_0(1) -> 1 4_1(1) -> 64 4_1(2) -> 64 4_1(10) -> 168 4_1(12) -> 64 4_1(17) -> 16 4_1(19) -> 90 4_1(21) -> 20 4_1(27) -> 11 4_1(31) -> 30 4_1(34) -> 27 4_1(35) -> 34 4_1(36) -> 35 4_1(38) -> 37 4_1(40) -> 202 4_1(43) -> 42 4_1(52) -> 51 4_1(56) -> 216 4_1(64) -> 63 4_1(65) -> 41 4_1(72) -> 67 4_1(99) -> 98 4_1(109) -> 108 4_1(113) -> 168 4_1(116) -> 115 4_1(120) -> 64 4_1(123) -> 122 4_1(126) -> 125 4_1(127) -> 126 4_1(128) -> 113 4_1(131) -> 130 4_1(134) -> 1 4_1(134) -> 64 4_1(134) -> 126 4_1(134) -> 216 4_1(139) -> 138 4_1(147) -> 146 4_1(148) -> 207 4_1(149) -> 126 4_1(150) -> 64 4_1(162) -> 161 4_1(169) -> 150 4_1(170) -> 169 4_1(172) -> 171 4_1(176) -> 175 4_1(178) -> 177 4_1(184) -> 210 4_1(186) -> 185 4_1(202) -> 206 4_1(207) -> 206 4_1(214) -> 213 4_1(375) -> 64 4_2(12) -> 195 4_2(77) -> 76 4_2(80) -> 79 4_2(84) -> 96 4_2(120) -> 326 4_2(134) -> 365 4_2(150) -> 339 4_2(169) -> 374 4_2(176) -> 383 4_2(194) -> 193 4_2(210) -> 347 4_2(218) -> 217 4_2(219) -> 218 4_2(220) -> 219 4_2(221) -> 220 4_2(223) -> 222 4_2(227) -> 226 4_2(236) -> 235 4_2(239) -> 238 4_2(243) -> 285 4_2(245) -> 244 4_2(248) -> 247 4_2(252) -> 297 4_2(254) -> 253 4_2(257) -> 256 4_2(261) -> 303 4_2(263) -> 262 4_2(266) -> 265 4_2(270) -> 309 4_2(272) -> 271 4_2(275) -> 274 4_2(279) -> 315 4_2(322) -> 319 4_2(335) -> 334 4_2(343) -> 342 4_2(351) -> 350 4_2(357) -> 216 4_2(363) -> 362 4_2(366) -> 64 4_2(366) -> 326 4_2(372) -> 371 4_2(375) -> 150 4_2(375) -> 374 4_2(381) -> 380 4_2(385) -> 384 4_2(388) -> 387 4_2(392) -> 398 5_0(1) -> 1 5_1(1) -> 56 5_1(2) -> 106 5_1(5) -> 4 5_1(10) -> 106 5_1(22) -> 21 5_1(33) -> 32 5_1(56) -> 102 5_1(69) -> 68 5_1(71) -> 106 5_1(101) -> 100 5_1(103) -> 43 5_1(120) -> 1 5_1(120) -> 19 5_1(120) -> 56 5_1(120) -> 64 5_1(120) -> 84 5_1(120) -> 102 5_1(120) -> 106 5_1(120) -> 112 5_1(120) -> 168 5_1(132) -> 131 5_1(143) -> 142 5_1(145) -> 144 5_1(150) -> 120 5_1(163) -> 162 5_1(164) -> 158 5_1(166) -> 165 5_1(175) -> 169 5_1(183) -> 182 5_1(203) -> 128 5_1(205) -> 204 5_1(209) -> 208 5_1(210) -> 209 5_2(191) -> 190 5_2(231) -> 230 5_2(356) -> 355 5_2(364) -> 363 5_2(373) -> 372 5_2(382) -> 381 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: 0(2(5(4(3(2(x1)))))) -> 0(2(1(5(2(0(1(2(1(2(x1)))))))))) 1(0(5(2(3(4(x1)))))) -> 1(0(0(1(3(0(4(1(0(3(x1)))))))))) 1(1(5(0(2(3(x1)))))) -> 0(0(4(5(1(1(1(2(2(3(x1)))))))))) 1(4(0(5(5(0(5(x1))))))) -> 1(4(3(3(0(4(1(5(3(3(x1)))))))))) 1(5(0(x1))) -> 1(4(4(4(4(0(4(0(1(1(x1)))))))))) 2(1(0(0(3(2(x1)))))) -> 2(1(4(3(0(0(3(0(3(2(x1)))))))))) 2(2(3(5(1(2(5(x1))))))) -> 2(2(1(2(4(0(3(3(2(5(x1)))))))))) 2(3(0(4(x1)))) -> 2(0(0(1(1(3(0(2(4(4(x1)))))))))) 2(3(5(x1))) -> 2(4(0(0(1(5(1(2(2(1(x1)))))))))) 2(5(x1)) -> 2(4(0(0(4(1(0(0(1(3(x1)))))))))) 2(5(x1)) -> 2(4(3(0(2(2(2(1(4(3(x1)))))))))) 2(5(0(5(5(5(x1)))))) -> 2(0(1(2(4(0(5(3(5(5(x1)))))))))) 2(5(3(0(2(1(x1)))))) -> 2(1(4(5(2(1(2(5(2(1(x1)))))))))) 2(5(5(x1))) -> 2(0(3(0(4(0(3(3(3(4(x1)))))))))) 3(1(5(2(5(x1))))) -> 3(0(2(4(1(2(0(0(5(2(x1)))))))))) 3(4(2(3(3(5(5(x1))))))) -> 5(3(2(4(0(2(4(4(0(5(x1)))))))))) 3(5(0(4(5(5(x1)))))) -> 3(4(0(3(4(5(2(0(3(3(x1)))))))))) 4(0(2(3(4(2(x1)))))) -> 4(0(0(3(1(4(3(0(2(2(x1)))))))))) 4(2(5(3(4(5(5(x1))))))) -> 5(1(5(2(5(0(4(1(1(0(x1)))))))))) 4(2(5(5(4(2(4(x1))))))) -> 5(5(3(2(0(2(1(0(3(0(x1)))))))))) 4(5(4(x1))) -> 4(1(1(1(2(1(4(5(2(4(x1)))))))))) 4(5(5(4(2(3(2(x1))))))) -> 4(1(1(5(3(5(1(2(4(2(x1)))))))))) 5(2(5(5(1(0(x1)))))) -> 5(5(4(4(0(4(2(0(1(4(x1)))))))))) 5(4(2(3(0(5(x1)))))) -> 5(5(4(5(4(3(4(1(3(1(x1)))))))))) 5(5(1(0(x1)))) -> 3(2(2(0(5(1(3(4(0(4(x1)))))))))) 5(5(1(1(1(5(x1)))))) -> 5(0(1(0(1(1(0(1(4(1(x1)))))))))) 5(5(2(5(5(0(x1)))))) -> 3(4(5(2(5(3(4(4(1(0(x1)))))))))) 5(5(4(5(5(4(x1)))))) -> 2(2(2(5(5(4(3(4(0(4(x1)))))))))) 5(5(5(5(2(5(x1)))))) -> 2(2(3(1(1(4(3(2(4(5(x1)))))))))) - Signature: {0/1,1/1,2/1,3/1,4/1,5/1} / {} - Obligation: derivational complexity wrt. signature {0,1,2,3,4,5} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))