/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(1(0(4(x1)))) -> 4(2(1(2(3(4(4(3(0(4(x1)))))))))) 0(1(5(1(0(4(x1)))))) -> 3(2(0(4(0(1(4(3(0(4(x1)))))))))) 0(1(5(1(5(0(x1)))))) -> 4(4(4(2(5(5(0(1(4(0(x1)))))))))) 0(1(5(3(0(1(x1)))))) -> 4(4(5(1(1(1(4(0(3(1(x1)))))))))) 0(3(1(3(0(5(x1)))))) -> 4(4(3(3(4(4(0(5(2(3(x1)))))))))) 1(0(4(5(3(5(0(x1))))))) -> 1(0(2(1(2(5(2(0(5(2(x1)))))))))) 1(5(1(3(5(5(5(x1))))))) -> 5(1(2(3(0(2(2(0(5(5(x1)))))))))) 1(5(3(1(3(x1))))) -> 1(3(4(4(2(0(2(3(1(2(x1)))))))))) 1(5(5(5(5(3(x1)))))) -> 1(2(5(1(4(0(0(2(5(4(x1)))))))))) 2(0(5(3(4(1(x1)))))) -> 2(3(4(0(3(3(0(1(2(1(x1)))))))))) 2(3(5(5(0(x1))))) -> 4(0(1(4(2(1(2(0(1(0(x1)))))))))) 2(4(0(1(3(5(x1)))))) -> 2(3(2(0(2(0(3(1(4(3(x1)))))))))) 2(5(4(5(5(5(x1)))))) -> 2(4(2(1(2(4(4(4(0(5(x1)))))))))) 2(5(5(5(5(x1))))) -> 2(0(5(1(2(0(3(2(1(5(x1)))))))))) 3(0(1(5(1(3(0(x1))))))) -> 3(0(0(3(1(2(1(5(4(2(x1)))))))))) 3(2(4(1(5(5(1(x1))))))) -> 0(5(0(3(4(1(0(3(5(1(x1)))))))))) 3(5(3(x1))) -> 1(0(3(4(4(3(1(4(5(4(x1)))))))))) 3(5(3(1(5(5(x1)))))) -> 3(2(4(4(1(1(4(0(2(4(x1)))))))))) 3(5(5(5(1(4(1(x1))))))) -> 1(4(4(0(0(1(0(1(3(1(x1)))))))))) 4(0(5(5(5(5(4(x1))))))) -> 2(1(4(3(5(4(0(1(5(4(x1)))))))))) 4(1(0(0(0(x1))))) -> 4(1(4(1(0(5(1(2(4(2(x1)))))))))) 4(1(3(1(5(0(x1)))))) -> 0(2(2(2(1(1(2(3(1(4(x1)))))))))) 4(1(5(0(0(1(3(x1))))))) -> 0(2(1(1(1(1(4(5(1(3(x1)))))))))) 4(1(5(0(0(1(5(x1))))))) -> 4(3(0(5(3(5(2(1(4(5(x1)))))))))) 4(1(5(5(3(x1))))) -> 2(1(2(3(0(3(2(5(1(2(x1)))))))))) 4(2(3(5(0(5(0(x1))))))) -> 4(4(4(0(0(1(5(2(3(4(x1)))))))))) 4(2(5(5(0(2(2(x1))))))) -> 4(2(1(0(0(1(4(5(1(2(x1)))))))))) 4(3(1(5(5(x1))))) -> 4(0(3(1(2(3(2(1(1(5(x1)))))))))) 4(3(5(0(4(2(x1)))))) -> 4(3(4(3(4(1(3(1(4(2(x1)))))))))) 4(5(0(4(x1)))) -> 4(0(4(0(4(0(3(4(4(4(x1)))))))))) 4(5(5(3(5(5(3(x1))))))) -> 0(1(4(0(1(3(2(4(1(4(x1)))))))))) 4(5(5(5(0(4(3(x1))))))) -> 0(3(3(3(2(0(2(3(2(3(x1)))))))))) 5(0(0(x1))) -> 5(0(3(2(1(2(3(4(0(0(x1)))))))))) 5(0(2(4(2(x1))))) -> 5(2(1(2(3(0(0(3(4(2(x1)))))))))) 5(0(5(0(4(2(x1)))))) -> 5(4(4(4(4(0(4(4(3(0(x1)))))))))) 5(0(5(5(3(5(4(x1))))))) -> 5(3(5(5(0(1(1(2(3(4(x1)))))))))) 5(2(5(5(0(0(3(x1))))))) -> 1(4(4(3(1(0(1(3(0(3(x1)))))))))) 5(3(1(5(1(x1))))) -> 3(2(1(1(0(3(0(1(5(1(x1)))))))))) 5(3(5(5(5(3(0(x1))))))) -> 5(4(3(4(5(2(5(5(5(0(x1)))))))))) 5(4(5(3(2(5(3(x1))))))) -> 5(4(3(1(1(4(2(0(3(5(x1)))))))))) 5(5(0(5(5(0(1(x1))))))) -> 2(3(4(5(4(2(1(2(5(1(x1)))))))))) 5(5(0(5(5(5(3(x1))))))) -> 5(0(4(4(0(1(2(3(3(3(x1)))))))))) 5(5(1(5(3(0(x1)))))) -> 2(2(0(1(4(3(0(3(3(4(x1)))))))))) 5(5(2(5(3(5(0(x1))))))) -> 5(2(0(4(0(3(2(3(3(0(x1)))))))))) 5(5(3(0(2(x1))))) -> 3(2(3(4(5(2(1(2(0(0(x1)))))))))) 5(5(3(2(3(5(x1)))))) -> 1(4(2(4(1(2(2(4(1(5(x1)))))))))) 5(5(5(1(3(1(x1)))))) -> 5(1(2(4(4(4(1(3(3(4(x1)))))))))) 5(5(5(3(0(4(2(x1))))))) -> 5(5(2(1(5(4(3(4(4(2(x1)))))))))) 5(5(5(5(x1)))) -> 5(2(0(0(3(2(1(4(4(3(x1)))))))))) 5(5(5(5(x1)))) -> 5(4(0(0(1(1(1(4(3(5(x1)))))))))) 5(5(5(5(4(x1))))) -> 3(4(5(4(0(0(4(0(3(4(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) -> 9 0_1(3) -> 9 0_1(6) -> 225 0_1(9) -> 215 0_1(10) -> 9 0_1(13) -> 12 0_1(15) -> 14 0_1(21) -> 20 0_1(28) -> 27 0_1(34) -> 33 0_1(36) -> 235 0_1(38) -> 37 0_1(44) -> 43 0_1(46) -> 9 0_1(50) -> 49 0_1(53) -> 52 0_1(54) -> 96 0_1(59) -> 58 0_1(66) -> 65 0_1(67) -> 66 0_1(69) -> 9 0_1(72) -> 71 0_1(75) -> 74 0_1(77) -> 2 0_1(83) -> 82 0_1(85) -> 84 0_1(87) -> 86 0_1(97) -> 69 0_1(101) -> 100 0_1(103) -> 140 0_1(104) -> 11 0_1(105) -> 104 0_1(111) -> 1 0_1(111) -> 10 0_1(111) -> 36 0_1(111) -> 167 0_1(111) -> 282 0_1(111) -> 374 0_1(113) -> 112 0_1(117) -> 116 0_1(129) -> 128 0_1(132) -> 131 0_1(133) -> 132 0_1(135) -> 134 0_1(141) -> 140 0_1(145) -> 144 0_1(148) -> 9 0_1(154) -> 20 0_1(160) -> 232 0_1(162) -> 161 0_1(170) -> 169 0_1(173) -> 17 0_1(174) -> 173 0_1(177) -> 356 0_1(178) -> 4 0_1(179) -> 178 0_1(192) -> 191 0_1(194) -> 193 0_1(199) -> 198 0_1(207) -> 206 0_1(209) -> 46 0_1(220) -> 219 0_1(221) -> 220 0_1(229) -> 228 0_1(230) -> 74 0_1(233) -> 232 0_1(238) -> 237 0_1(240) -> 239 0_1(251) -> 250 0_1(258) -> 257 0_1(263) -> 262 0_1(267) -> 266 0_1(268) -> 216 0_1(270) -> 269 0_1(292) -> 268 0_1(314) -> 222 0_1(315) -> 314 0_1(354) -> 353 0_1(355) -> 354 0_2(97) -> 469 0_2(105) -> 469 0_2(111) -> 469 0_2(209) -> 383 0_2(298) -> 297 0_2(299) -> 298 0_2(307) -> 306 0_2(308) -> 307 0_2(320) -> 319 0_2(321) -> 320 0_2(344) -> 343 0_2(345) -> 344 0_2(361) -> 360 0_2(362) -> 361 0_2(364) -> 363 0_2(365) -> 373 0_2(374) -> 373 0_2(381) -> 380 0_2(383) -> 468 0_2(386) -> 385 0_2(390) -> 389 0_2(394) -> 393 0_2(395) -> 394 0_2(403) -> 402 0_2(411) -> 410 0_2(420) -> 419 0_2(427) -> 373 0_2(432) -> 431 0_2(453) -> 452 0_2(455) -> 454 0_2(457) -> 456 0_2(460) -> 373 0_2(462) -> 461 0_2(469) -> 468 0_2(474) -> 473 0_2(475) -> 474 1_0(1) -> 1 1_1(1) -> 29 1_1(4) -> 3 1_1(7) -> 15 1_1(9) -> 83 1_1(10) -> 154 1_1(22) -> 21 1_1(24) -> 23 1_1(25) -> 24 1_1(26) -> 25 1_1(27) -> 115 1_1(28) -> 135 1_1(29) -> 185 1_1(35) -> 230 1_1(36) -> 160 1_1(37) -> 1 1_1(37) -> 29 1_1(37) -> 36 1_1(37) -> 44 1_1(37) -> 53 1_1(37) -> 54 1_1(37) -> 83 1_1(37) -> 103 1_1(37) -> 251 1_1(40) -> 39 1_1(45) -> 61 1_1(46) -> 83 1_1(47) -> 46 1_1(54) -> 103 1_1(64) -> 63 1_1(68) -> 141 1_1(69) -> 61 1_1(76) -> 75 1_1(78) -> 77 1_1(81) -> 80 1_1(83) -> 185 1_1(88) -> 316 1_1(89) -> 88 1_1(92) -> 91 1_1(99) -> 98 1_1(103) -> 185 1_1(107) -> 106 1_1(109) -> 108 1_1(110) -> 190 1_1(116) -> 115 1_1(118) -> 240 1_1(123) -> 122 1_1(126) -> 125 1_1(127) -> 126 1_1(134) -> 133 1_1(136) -> 69 1_1(142) -> 2 1_1(144) -> 143 1_1(147) -> 146 1_1(148) -> 61 1_1(151) -> 150 1_1(152) -> 151 1_1(155) -> 148 1_1(156) -> 155 1_1(157) -> 156 1_1(158) -> 157 1_1(167) -> 166 1_1(175) -> 174 1_1(176) -> 230 1_1(180) -> 179 1_1(182) -> 181 1_1(189) -> 188 1_1(197) -> 111 1_1(200) -> 199 1_1(212) -> 211 1_1(217) -> 216 1_1(230) -> 229 1_1(232) -> 231 1_1(234) -> 233 1_1(236) -> 12 1_1(237) -> 236 1_1(247) -> 241 1_1(248) -> 247 1_1(255) -> 254 1_1(259) -> 258 1_1(264) -> 263 1_1(267) -> 285 1_1(277) -> 276 1_1(280) -> 279 1_1(288) -> 287 1_1(295) -> 294 1_1(316) -> 315 1_1(317) -> 316 1_1(318) -> 317 1_2(302) -> 301 1_2(311) -> 310 1_2(322) -> 321 1_2(323) -> 322 1_2(324) -> 323 1_2(332) -> 392 1_2(346) -> 345 1_2(347) -> 346 1_2(348) -> 347 1_2(350) -> 392 1_2(368) -> 367 1_2(382) -> 381 1_2(388) -> 387 1_2(397) -> 396 1_2(399) -> 398 1_2(400) -> 449 1_2(402) -> 251 1_2(408) -> 407 1_2(410) -> 117 1_2(416) -> 415 1_2(419) -> 28 1_2(419) -> 36 1_2(419) -> 251 1_2(419) -> 331 1_2(425) -> 424 1_2(429) -> 428 1_2(436) -> 435 1_2(448) -> 447 1_2(450) -> 449 1_2(465) -> 464 1_2(471) -> 470 2_0(1) -> 1 2_1(1) -> 45 2_1(2) -> 35 2_1(3) -> 2 2_1(5) -> 4 2_1(10) -> 129 2_1(11) -> 45 2_1(12) -> 11 2_1(18) -> 17 2_1(29) -> 76 2_1(36) -> 35 2_1(39) -> 38 2_1(41) -> 40 2_1(43) -> 42 2_1(48) -> 47 2_1(51) -> 50 2_1(52) -> 51 2_1(55) -> 45 2_1(58) -> 57 2_1(60) -> 59 2_1(62) -> 37 2_1(68) -> 67 2_1(69) -> 1 2_1(69) -> 10 2_1(69) -> 22 2_1(69) -> 45 2_1(69) -> 53 2_1(69) -> 54 2_1(69) -> 67 2_1(69) -> 95 2_1(69) -> 129 2_1(69) -> 243 2_1(69) -> 245 2_1(69) -> 282 2_1(69) -> 374 2_1(80) -> 79 2_1(82) -> 81 2_1(83) -> 76 2_1(84) -> 70 2_1(86) -> 85 2_1(91) -> 90 2_1(93) -> 92 2_1(100) -> 99 2_1(103) -> 102 2_1(104) -> 2 2_1(108) -> 107 2_1(110) -> 147 2_1(111) -> 45 2_1(118) -> 255 2_1(148) -> 111 2_1(149) -> 148 2_1(150) -> 149 2_1(153) -> 152 2_1(154) -> 165 2_1(166) -> 165 2_1(168) -> 136 2_1(172) -> 171 2_1(177) -> 176 2_1(183) -> 182 2_1(185) -> 184 2_1(202) -> 201 2_1(206) -> 205 2_1(208) -> 207 2_1(209) -> 45 2_1(211) -> 210 2_1(213) -> 212 2_1(215) -> 277 2_1(216) -> 46 2_1(218) -> 217 2_1(226) -> 45 2_1(232) -> 81 2_1(244) -> 243 2_1(250) -> 249 2_1(254) -> 253 2_1(260) -> 259 2_1(261) -> 259 2_1(262) -> 69 2_1(272) -> 271 2_1(276) -> 275 2_1(278) -> 130 2_1(281) -> 280 2_1(282) -> 281 2_1(287) -> 286 2_1(294) -> 293 2_2(3) -> 451 2_2(12) -> 451 2_2(62) -> 451 2_2(69) -> 451 2_2(91) -> 451 2_2(104) -> 401 2_2(148) -> 401 2_2(216) -> 401 2_2(226) -> 436 2_2(287) -> 401 2_2(297) -> 296 2_2(301) -> 300 2_2(306) -> 305 2_2(310) -> 309 2_2(367) -> 366 2_2(369) -> 368 2_2(378) -> 377 2_2(385) -> 243 2_2(389) -> 388 2_2(392) -> 391 2_2(398) -> 397 2_2(428) -> 282 2_2(430) -> 429 2_2(434) -> 433 2_2(464) -> 463 2_2(466) -> 465 2_2(470) -> 461 2_2(472) -> 471 3_0(1) -> 1 3_1(1) -> 36 3_1(2) -> 28 3_1(6) -> 5 3_1(8) -> 272 3_1(9) -> 8 3_1(10) -> 177 3_1(11) -> 1 3_1(11) -> 8 3_1(11) -> 9 3_1(11) -> 36 3_1(11) -> 53 3_1(11) -> 54 3_1(11) -> 140 3_1(11) -> 238 3_1(11) -> 239 3_1(11) -> 244 3_1(11) -> 251 3_1(22) -> 213 3_1(29) -> 28 3_1(30) -> 16 3_1(31) -> 30 3_1(35) -> 208 3_1(36) -> 261 3_1(46) -> 36 3_1(49) -> 48 3_1(54) -> 251 3_1(55) -> 37 3_1(61) -> 60 3_1(69) -> 221 3_1(70) -> 69 3_1(73) -> 72 3_1(74) -> 73 3_1(76) -> 101 3_1(88) -> 87 3_1(102) -> 101 3_1(106) -> 105 3_1(110) -> 221 3_1(111) -> 28 3_1(112) -> 2 3_1(114) -> 113 3_1(118) -> 117 3_1(119) -> 38 3_1(122) -> 121 3_1(138) -> 137 3_1(140) -> 238 3_1(154) -> 153 3_1(161) -> 2 3_1(164) -> 163 3_1(169) -> 168 3_1(171) -> 170 3_1(177) -> 267 3_1(181) -> 77 3_1(184) -> 183 3_1(187) -> 186 3_1(190) -> 189 3_1(195) -> 194 3_1(196) -> 194 3_1(201) -> 200 3_1(203) -> 111 3_1(204) -> 203 3_1(205) -> 204 3_1(210) -> 209 3_1(214) -> 213 3_1(219) -> 218 3_1(226) -> 46 3_1(231) -> 131 3_1(235) -> 234 3_1(239) -> 238 3_1(241) -> 222 3_1(246) -> 251 3_1(259) -> 270 3_1(261) -> 260 3_1(266) -> 265 3_1(271) -> 270 3_1(273) -> 12 3_1(286) -> 2 3_1(291) -> 290 3_1(293) -> 292 3_2(46) -> 304 3_2(227) -> 304 3_2(228) -> 313 3_2(286) -> 313 3_2(300) -> 299 3_2(309) -> 308 3_2(332) -> 331 3_2(350) -> 349 3_2(357) -> 244 3_2(365) -> 364 3_2(370) -> 369 3_2(373) -> 372 3_2(391) -> 390 3_2(393) -> 238 3_2(396) -> 395 3_2(404) -> 403 3_2(407) -> 406 3_2(412) -> 411 3_2(415) -> 414 3_2(421) -> 420 3_2(424) -> 423 3_2(431) -> 430 3_2(433) -> 432 3_2(444) -> 443 3_2(446) -> 445 3_2(449) -> 448 3_2(450) -> 475 3_2(458) -> 457 3_2(463) -> 462 3_2(467) -> 466 3_2(473) -> 472 4_0(1) -> 1 4_1(1) -> 10 4_1(2) -> 1 4_1(2) -> 9 4_1(2) -> 10 4_1(2) -> 27 4_1(2) -> 35 4_1(2) -> 45 4_1(2) -> 82 4_1(2) -> 89 4_1(2) -> 110 4_1(2) -> 140 4_1(2) -> 167 4_1(2) -> 235 4_1(2) -> 239 4_1(2) -> 282 4_1(2) -> 318 4_1(2) -> 374 4_1(7) -> 6 4_1(8) -> 7 4_1(9) -> 22 4_1(10) -> 196 4_1(11) -> 10 4_1(14) -> 13 4_1(16) -> 2 4_1(17) -> 16 4_1(22) -> 94 4_1(27) -> 26 4_1(32) -> 31 4_1(33) -> 32 4_1(36) -> 89 4_1(37) -> 10 4_1(45) -> 110 4_1(46) -> 10 4_1(54) -> 167 4_1(56) -> 55 4_1(57) -> 56 4_1(65) -> 64 4_1(68) -> 123 4_1(71) -> 70 4_1(79) -> 78 4_1(89) -> 295 4_1(90) -> 69 4_1(94) -> 93 4_1(95) -> 94 4_1(96) -> 95 4_1(103) -> 282 4_1(104) -> 10 4_1(110) -> 291 4_1(111) -> 10 4_1(113) -> 10 4_1(115) -> 114 4_1(118) -> 158 4_1(120) -> 119 4_1(121) -> 120 4_1(124) -> 12 4_1(125) -> 124 4_1(128) -> 127 4_1(130) -> 37 4_1(131) -> 130 4_1(137) -> 136 4_1(140) -> 139 4_1(143) -> 142 4_1(154) -> 202 4_1(159) -> 158 4_1(172) -> 180 4_1(186) -> 161 4_1(188) -> 187 4_1(191) -> 77 4_1(193) -> 192 4_1(196) -> 195 4_1(198) -> 197 4_1(209) -> 10 4_1(215) -> 214 4_1(222) -> 46 4_1(223) -> 222 4_1(224) -> 223 4_1(225) -> 224 4_1(226) -> 10 4_1(235) -> 355 4_1(242) -> 241 4_1(249) -> 248 4_1(251) -> 318 4_1(253) -> 252 4_1(256) -> 209 4_1(257) -> 256 4_1(265) -> 264 4_1(269) -> 268 4_1(274) -> 273 4_1(279) -> 278 4_1(283) -> 48 4_1(284) -> 283 4_1(285) -> 284 4_1(286) -> 10 4_1(290) -> 289 4_1(351) -> 11 4_1(353) -> 352 4_1(356) -> 355 4_2(1) -> 374 4_2(2) -> 374 4_2(11) -> 374 4_2(37) -> 374 4_2(46) -> 374 4_2(90) -> 374 4_2(104) -> 374 4_2(111) -> 374 4_2(113) -> 374 4_2(203) -> 418 4_2(209) -> 374 4_2(222) -> 365 4_2(226) -> 427 4_2(256) -> 460 4_2(286) -> 365 4_2(303) -> 302 4_2(304) -> 303 4_2(312) -> 311 4_2(313) -> 312 4_2(319) -> 296 4_2(331) -> 324 4_2(343) -> 305 4_2(349) -> 348 4_2(358) -> 357 4_2(360) -> 359 4_2(363) -> 362 4_2(366) -> 82 4_2(371) -> 370 4_2(372) -> 371 4_2(375) -> 239 4_2(376) -> 375 4_2(377) -> 376 4_2(383) -> 382 4_2(401) -> 400 4_2(405) -> 404 4_2(406) -> 405 4_2(409) -> 408 4_2(413) -> 412 4_2(414) -> 413 4_2(417) -> 416 4_2(422) -> 421 4_2(423) -> 422 4_2(426) -> 425 4_2(443) -> 318 4_2(445) -> 444 4_2(447) -> 446 4_2(451) -> 450 4_2(452) -> 10 4_2(452) -> 123 4_2(452) -> 167 4_2(452) -> 282 4_2(452) -> 374 4_2(452) -> 408 4_2(454) -> 453 4_2(456) -> 455 4_2(459) -> 458 4_2(460) -> 459 4_2(468) -> 467 5_0(1) -> 1 5_1(1) -> 54 5_1(9) -> 246 5_1(10) -> 68 5_1(11) -> 246 5_1(19) -> 18 5_1(20) -> 19 5_1(23) -> 16 5_1(29) -> 118 5_1(35) -> 34 5_1(42) -> 41 5_1(45) -> 44 5_1(46) -> 1 5_1(46) -> 29 5_1(46) -> 53 5_1(46) -> 54 5_1(46) -> 68 5_1(46) -> 103 5_1(46) -> 240 5_1(46) -> 244 5_1(46) -> 245 5_1(46) -> 246 5_1(46) -> 409 5_1(53) -> 244 5_1(54) -> 53 5_1(61) -> 172 5_1(63) -> 62 5_1(98) -> 97 5_1(110) -> 109 5_1(111) -> 118 5_1(112) -> 111 5_1(139) -> 138 5_1(146) -> 145 5_1(160) -> 159 5_1(163) -> 162 5_1(165) -> 164 5_1(176) -> 175 5_1(226) -> 54 5_1(227) -> 226 5_1(228) -> 227 5_1(243) -> 242 5_1(245) -> 244 5_1(246) -> 245 5_1(252) -> 71 5_1(275) -> 274 5_1(286) -> 46 5_1(289) -> 288 5_1(352) -> 351 5_2(46) -> 332 5_2(227) -> 332 5_2(228) -> 350 5_2(286) -> 350 5_2(296) -> 244 5_2(305) -> 53 5_2(305) -> 244 5_2(359) -> 358 5_2(374) -> 409 5_2(379) -> 378 5_2(380) -> 379 5_2(387) -> 386 5_2(400) -> 399 5_2(418) -> 417 5_2(427) -> 426 5_2(435) -> 434 5_2(461) -> 246 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: 0(1(0(4(x1)))) -> 4(2(1(2(3(4(4(3(0(4(x1)))))))))) 0(1(5(1(0(4(x1)))))) -> 3(2(0(4(0(1(4(3(0(4(x1)))))))))) 0(1(5(1(5(0(x1)))))) -> 4(4(4(2(5(5(0(1(4(0(x1)))))))))) 0(1(5(3(0(1(x1)))))) -> 4(4(5(1(1(1(4(0(3(1(x1)))))))))) 0(3(1(3(0(5(x1)))))) -> 4(4(3(3(4(4(0(5(2(3(x1)))))))))) 1(0(4(5(3(5(0(x1))))))) -> 1(0(2(1(2(5(2(0(5(2(x1)))))))))) 1(5(1(3(5(5(5(x1))))))) -> 5(1(2(3(0(2(2(0(5(5(x1)))))))))) 1(5(3(1(3(x1))))) -> 1(3(4(4(2(0(2(3(1(2(x1)))))))))) 1(5(5(5(5(3(x1)))))) -> 1(2(5(1(4(0(0(2(5(4(x1)))))))))) 2(0(5(3(4(1(x1)))))) -> 2(3(4(0(3(3(0(1(2(1(x1)))))))))) 2(3(5(5(0(x1))))) -> 4(0(1(4(2(1(2(0(1(0(x1)))))))))) 2(4(0(1(3(5(x1)))))) -> 2(3(2(0(2(0(3(1(4(3(x1)))))))))) 2(5(4(5(5(5(x1)))))) -> 2(4(2(1(2(4(4(4(0(5(x1)))))))))) 2(5(5(5(5(x1))))) -> 2(0(5(1(2(0(3(2(1(5(x1)))))))))) 3(0(1(5(1(3(0(x1))))))) -> 3(0(0(3(1(2(1(5(4(2(x1)))))))))) 3(2(4(1(5(5(1(x1))))))) -> 0(5(0(3(4(1(0(3(5(1(x1)))))))))) 3(5(3(x1))) -> 1(0(3(4(4(3(1(4(5(4(x1)))))))))) 3(5(3(1(5(5(x1)))))) -> 3(2(4(4(1(1(4(0(2(4(x1)))))))))) 3(5(5(5(1(4(1(x1))))))) -> 1(4(4(0(0(1(0(1(3(1(x1)))))))))) 4(0(5(5(5(5(4(x1))))))) -> 2(1(4(3(5(4(0(1(5(4(x1)))))))))) 4(1(0(0(0(x1))))) -> 4(1(4(1(0(5(1(2(4(2(x1)))))))))) 4(1(3(1(5(0(x1)))))) -> 0(2(2(2(1(1(2(3(1(4(x1)))))))))) 4(1(5(0(0(1(3(x1))))))) -> 0(2(1(1(1(1(4(5(1(3(x1)))))))))) 4(1(5(0(0(1(5(x1))))))) -> 4(3(0(5(3(5(2(1(4(5(x1)))))))))) 4(1(5(5(3(x1))))) -> 2(1(2(3(0(3(2(5(1(2(x1)))))))))) 4(2(3(5(0(5(0(x1))))))) -> 4(4(4(0(0(1(5(2(3(4(x1)))))))))) 4(2(5(5(0(2(2(x1))))))) -> 4(2(1(0(0(1(4(5(1(2(x1)))))))))) 4(3(1(5(5(x1))))) -> 4(0(3(1(2(3(2(1(1(5(x1)))))))))) 4(3(5(0(4(2(x1)))))) -> 4(3(4(3(4(1(3(1(4(2(x1)))))))))) 4(5(0(4(x1)))) -> 4(0(4(0(4(0(3(4(4(4(x1)))))))))) 4(5(5(3(5(5(3(x1))))))) -> 0(1(4(0(1(3(2(4(1(4(x1)))))))))) 4(5(5(5(0(4(3(x1))))))) -> 0(3(3(3(2(0(2(3(2(3(x1)))))))))) 5(0(0(x1))) -> 5(0(3(2(1(2(3(4(0(0(x1)))))))))) 5(0(2(4(2(x1))))) -> 5(2(1(2(3(0(0(3(4(2(x1)))))))))) 5(0(5(0(4(2(x1)))))) -> 5(4(4(4(4(0(4(4(3(0(x1)))))))))) 5(0(5(5(3(5(4(x1))))))) -> 5(3(5(5(0(1(1(2(3(4(x1)))))))))) 5(2(5(5(0(0(3(x1))))))) -> 1(4(4(3(1(0(1(3(0(3(x1)))))))))) 5(3(1(5(1(x1))))) -> 3(2(1(1(0(3(0(1(5(1(x1)))))))))) 5(3(5(5(5(3(0(x1))))))) -> 5(4(3(4(5(2(5(5(5(0(x1)))))))))) 5(4(5(3(2(5(3(x1))))))) -> 5(4(3(1(1(4(2(0(3(5(x1)))))))))) 5(5(0(5(5(0(1(x1))))))) -> 2(3(4(5(4(2(1(2(5(1(x1)))))))))) 5(5(0(5(5(5(3(x1))))))) -> 5(0(4(4(0(1(2(3(3(3(x1)))))))))) 5(5(1(5(3(0(x1)))))) -> 2(2(0(1(4(3(0(3(3(4(x1)))))))))) 5(5(2(5(3(5(0(x1))))))) -> 5(2(0(4(0(3(2(3(3(0(x1)))))))))) 5(5(3(0(2(x1))))) -> 3(2(3(4(5(2(1(2(0(0(x1)))))))))) 5(5(3(2(3(5(x1)))))) -> 1(4(2(4(1(2(2(4(1(5(x1)))))))))) 5(5(5(1(3(1(x1)))))) -> 5(1(2(4(4(4(1(3(3(4(x1)))))))))) 5(5(5(3(0(4(2(x1))))))) -> 5(5(2(1(5(4(3(4(4(2(x1)))))))))) 5(5(5(5(x1)))) -> 5(2(0(0(3(2(1(4(4(3(x1)))))))))) 5(5(5(5(x1)))) -> 5(4(0(0(1(1(1(4(3(5(x1)))))))))) 5(5(5(5(4(x1))))) -> 3(4(5(4(0(0(4(0(3(4(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))