/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(0(0(5(4(2(1(x1))))))) -> 5(3(0(2(5(2(1(4(3(2(x1)))))))))) 0(0(0(5(5(1(5(x1))))))) -> 0(4(4(5(3(2(1(2(0(1(x1)))))))))) 0(0(3(5(0(5(x1)))))) -> 0(4(1(5(2(0(4(2(4(3(x1)))))))))) 0(0(5(3(x1)))) -> 5(4(4(3(3(3(4(3(3(3(x1)))))))))) 0(0(5(3(2(0(x1)))))) -> 0(3(0(4(3(3(0(1(3(0(x1)))))))))) 0(5(x1)) -> 2(4(5(0(4(2(5(2(3(2(x1)))))))))) 0(5(x1)) -> 3(3(4(2(4(4(3(5(0(2(x1)))))))))) 0(5(x1)) -> 5(1(3(2(4(0(4(1(4(5(x1)))))))))) 0(5(0(0(0(5(x1)))))) -> 5(5(0(2(4(4(1(1(3(5(x1)))))))))) 0(5(0(5(x1)))) -> 4(4(1(3(0(4(3(4(2(4(x1)))))))))) 0(5(1(2(1(2(4(x1))))))) -> 0(3(5(0(5(4(2(2(3(5(x1)))))))))) 0(5(1(4(x1)))) -> 5(3(1(4(4(4(3(4(5(4(x1)))))))))) 0(5(2(0(3(x1))))) -> 3(0(0(1(1(0(4(5(1(3(x1)))))))))) 0(5(2(1(5(x1))))) -> 5(4(0(3(5(4(4(2(2(4(x1)))))))))) 0(5(5(0(5(x1))))) -> 5(3(5(1(4(0(2(5(4(4(x1)))))))))) 1(0(0(5(5(2(x1)))))) -> 4(5(1(0(2(2(5(3(5(5(x1)))))))))) 1(0(2(2(1(2(x1)))))) -> 1(5(0(2(4(0(4(4(1(2(x1)))))))))) 1(0(4(5(5(1(5(x1))))))) -> 1(5(0(4(1(4(4(4(0(4(x1)))))))))) 1(0(5(x1))) -> 1(1(1(4(4(4(5(5(0(4(x1)))))))))) 1(0(5(0(2(0(x1)))))) -> 0(5(0(2(5(1(3(0(3(4(x1)))))))))) 1(0(5(1(0(x1))))) -> 0(2(1(3(1(1(4(0(1(0(x1)))))))))) 1(3(2(2(2(1(x1)))))) -> 0(1(2(5(0(4(2(5(5(0(x1)))))))))) 1(5(0(5(x1)))) -> 1(3(5(4(2(2(4(5(0(1(x1)))))))))) 1(5(2(x1))) -> 1(1(2(3(3(3(4(4(4(4(x1)))))))))) 2(0(0(0(5(2(1(x1))))))) -> 2(2(5(4(1(3(1(4(3(1(x1)))))))))) 2(0(0(5(0(5(x1)))))) -> 4(4(1(5(5(2(5(5(3(5(x1)))))))))) 2(0(3(0(1(2(x1)))))) -> 1(5(1(4(0(3(2(4(0(4(x1)))))))))) 2(0(3(0(4(1(5(x1))))))) -> 2(0(1(2(4(3(5(5(3(0(x1)))))))))) 2(0(5(1(4(x1))))) -> 4(5(5(4(4(5(3(2(2(3(x1)))))))))) 2(0(5(5(x1)))) -> 3(5(4(3(3(4(3(3(4(2(x1)))))))))) 2(1(0(5(0(5(x1)))))) -> 3(4(2(1(0(1(2(4(4(5(x1)))))))))) 2(1(2(1(2(x1))))) -> 2(3(2(4(2(2(5(3(4(3(x1)))))))))) 2(2(4(1(0(5(5(x1))))))) -> 4(4(3(3(0(0(2(4(4(2(x1)))))))))) 3(2(0(5(4(1(5(x1))))))) -> 3(5(1(4(2(0(4(3(2(4(x1)))))))))) 3(3(0(1(2(0(3(x1))))))) -> 5(4(4(2(3(5(2(4(0(3(x1)))))))))) 4(0(0(5(1(x1))))) -> 1(0(2(4(0(4(2(0(3(0(x1)))))))))) 4(0(5(2(0(5(0(x1))))))) -> 4(3(4(5(4(0(5(2(3(0(x1)))))))))) 4(0(5(5(5(0(5(x1))))))) -> 1(3(0(2(3(1(2(0(2(2(x1)))))))))) 4(1(0(5(x1)))) -> 4(0(2(1(3(1(4(5(3(1(x1)))))))))) 4(1(0(5(0(4(x1)))))) -> 4(1(2(1(4(3(0(1(0(4(x1)))))))))) 5(1(3(0(5(x1))))) -> 0(4(0(3(2(5(4(5(3(0(x1)))))))))) 5(1(5(0(5(3(5(x1))))))) -> 5(4(3(0(5(4(4(2(0(5(x1)))))))))) 5(2(2(1(0(0(5(x1))))))) -> 5(1(5(4(5(5(3(0(1(4(x1)))))))))) 5(5(0(5(5(1(x1)))))) -> 5(5(5(2(1(2(3(5(4(0(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 = perSymbol, enrichment = match} + Details: The problem is match-bounded by 3. The enriched problem is compatible with follwoing automaton. 0_0(1) -> 1 0_0(2) -> 1 0_0(3) -> 1 0_0(4) -> 1 0_0(5) -> 1 0_0(6) -> 1 0_1(1) -> 46 0_1(2) -> 46 0_1(3) -> 46 0_1(4) -> 46 0_1(5) -> 46 0_1(6) -> 46 0_1(7) -> 46 0_1(8) -> 46 0_1(9) -> 8 0_1(15) -> 70 0_1(16) -> 1 0_1(16) -> 46 0_1(16) -> 78 0_1(16) -> 345 0_1(24) -> 23 0_1(26) -> 46 0_1(28) -> 27 0_1(31) -> 280 0_1(40) -> 39 0_1(44) -> 43 0_1(45) -> 287 0_1(50) -> 49 0_1(79) -> 46 0_1(83) -> 82 0_1(84) -> 351 0_1(85) -> 160 0_1(86) -> 345 0_1(97) -> 96 0_1(107) -> 106 0_1(111) -> 160 0_1(113) -> 112 0_1(120) -> 173 0_1(123) -> 63 0_1(124) -> 123 0_1(127) -> 126 0_1(129) -> 32 0_1(137) -> 136 0_1(143) -> 142 0_1(148) -> 46 0_1(149) -> 46 0_1(150) -> 149 0_1(153) -> 152 0_1(167) -> 2 0_1(167) -> 24 0_1(167) -> 44 0_1(167) -> 181 0_1(168) -> 46 0_1(169) -> 168 0_1(174) -> 173 0_1(181) -> 180 0_1(185) -> 184 0_1(224) -> 46 0_1(225) -> 46 0_1(228) -> 227 0_1(230) -> 209 0_1(241) -> 46 0_1(252) -> 251 0_1(263) -> 262 0_1(264) -> 263 0_1(266) -> 46 0_1(271) -> 270 0_1(273) -> 46 0_1(281) -> 46 0_1(282) -> 281 0_1(285) -> 284 0_1(293) -> 292 0_1(296) -> 295 0_1(301) -> 300 0_1(302) -> 288 0_1(322) -> 321 0_1(323) -> 6 0_1(323) -> 86 0_1(323) -> 128 0_1(323) -> 461 0_1(325) -> 324 0_1(338) -> 1 0_1(341) -> 340 0_1(346) -> 46 0_1(352) -> 351 0_1(353) -> 1 0_1(354) -> 1 0_1(471) -> 1 0_1(472) -> 46 0_1(661) -> 1 0_1(662) -> 46 0_2(7) -> 337 0_2(26) -> 564 0_2(57) -> 56 0_2(62) -> 78 0_2(92) -> 91 0_2(96) -> 337 0_2(134) -> 337 0_2(149) -> 337 0_2(168) -> 337 0_2(181) -> 78 0_2(225) -> 337 0_2(242) -> 337 0_2(267) -> 337 0_2(273) -> 337 0_2(309) -> 308 0_2(329) -> 128 0_2(331) -> 330 0_2(338) -> 337 0_2(345) -> 78 0_2(347) -> 337 0_2(353) -> 337 0_2(354) -> 337 0_2(359) -> 46 0_2(359) -> 78 0_2(362) -> 564 0_2(364) -> 363 0_2(371) -> 370 0_2(376) -> 420 0_2(380) -> 379 0_2(385) -> 428 0_2(389) -> 388 0_2(394) -> 436 0_2(398) -> 397 0_2(403) -> 444 0_2(407) -> 406 0_2(412) -> 452 0_2(458) -> 457 0_2(467) -> 466 0_2(471) -> 337 0_2(476) -> 475 0_2(485) -> 484 0_2(494) -> 493 0_2(502) -> 501 0_2(506) -> 537 0_2(529) -> 528 0_2(551) -> 550 0_2(555) -> 554 0_2(557) -> 556 0_2(590) -> 78 0_2(661) -> 337 0_2(666) -> 665 0_2(675) -> 674 0_2(721) -> 720 0_2(729) -> 728 0_2(742) -> 181 0_2(754) -> 753 0_2(756) -> 755 0_3(799) -> 798 0_3(804) -> 812 0_3(818) -> 817 1_0(1) -> 2 1_0(2) -> 2 1_0(3) -> 2 1_0(4) -> 2 1_0(5) -> 2 1_0(6) -> 2 1_1(1) -> 24 1_1(2) -> 24 1_1(3) -> 24 1_1(4) -> 24 1_1(5) -> 24 1_1(6) -> 24 1_1(7) -> 24 1_1(13) -> 12 1_1(15) -> 155 1_1(16) -> 44 1_1(22) -> 21 1_1(25) -> 17 1_1(31) -> 44 1_1(44) -> 100 1_1(45) -> 44 1_1(46) -> 181 1_1(79) -> 7 1_1(84) -> 177 1_1(85) -> 84 1_1(101) -> 100 1_1(102) -> 101 1_1(105) -> 104 1_1(111) -> 352 1_1(117) -> 8 1_1(119) -> 12 1_1(125) -> 124 1_1(126) -> 125 1_1(135) -> 134 1_1(142) -> 141 1_1(148) -> 2 1_1(148) -> 24 1_1(148) -> 181 1_1(148) -> 322 1_1(149) -> 24 1_1(157) -> 156 1_1(160) -> 322 1_1(161) -> 148 1_1(162) -> 161 1_1(168) -> 24 1_1(172) -> 171 1_1(176) -> 175 1_1(178) -> 177 1_1(179) -> 178 1_1(182) -> 167 1_1(213) -> 212 1_1(215) -> 214 1_1(219) -> 218 1_1(224) -> 3 1_1(224) -> 15 1_1(224) -> 286 1_1(224) -> 344 1_1(224) -> 376 1_1(225) -> 24 1_1(226) -> 225 1_1(231) -> 230 1_1(251) -> 250 1_1(253) -> 252 1_1(268) -> 267 1_1(273) -> 24 1_1(281) -> 5 1_1(281) -> 85 1_1(281) -> 111 1_1(299) -> 298 1_1(304) -> 303 1_1(306) -> 305 1_1(317) -> 288 1_1(319) -> 318 1_1(338) -> 24 1_1(346) -> 338 1_1(347) -> 24 1_1(353) -> 24 1_1(354) -> 24 1_1(356) -> 355 1_1(471) -> 24 1_1(661) -> 24 1_2(7) -> 749 1_2(88) -> 87 1_2(94) -> 93 1_2(96) -> 749 1_2(134) -> 749 1_2(149) -> 749 1_2(168) -> 316 1_2(200) -> 17 1_2(201) -> 200 1_2(225) -> 749 1_2(242) -> 749 1_2(267) -> 749 1_2(273) -> 749 1_2(311) -> 310 1_2(313) -> 312 1_2(338) -> 749 1_2(347) -> 749 1_2(353) -> 316 1_2(354) -> 316 1_2(361) -> 360 1_2(454) -> 453 1_2(460) -> 459 1_2(463) -> 462 1_2(469) -> 468 1_2(471) -> 749 1_2(472) -> 471 1_2(478) -> 477 1_2(481) -> 480 1_2(487) -> 486 1_2(490) -> 489 1_2(496) -> 495 1_2(500) -> 499 1_2(508) -> 507 1_2(521) -> 181 1_2(522) -> 521 1_2(523) -> 522 1_2(530) -> 24 1_2(530) -> 100 1_2(530) -> 316 1_2(531) -> 530 1_2(532) -> 531 1_2(547) -> 286 1_2(549) -> 548 1_2(558) -> 557 1_2(661) -> 749 1_2(662) -> 661 1_2(668) -> 667 1_2(671) -> 670 1_2(677) -> 676 1_2(720) -> 719 1_2(727) -> 322 1_2(731) -> 730 1_2(744) -> 743 1_2(746) -> 745 1_2(751) -> 750 1_2(755) -> 754 1_3(538) -> 360 1_3(539) -> 538 1_3(814) -> 813 1_3(820) -> 819 2_0(1) -> 3 2_0(2) -> 3 2_0(3) -> 3 2_0(4) -> 3 2_0(5) -> 3 2_0(6) -> 3 2_1(1) -> 15 2_1(2) -> 15 2_1(3) -> 15 2_1(4) -> 15 2_1(5) -> 15 2_1(6) -> 15 2_1(7) -> 15 2_1(10) -> 9 2_1(12) -> 11 2_1(14) -> 53 2_1(15) -> 301 2_1(21) -> 20 2_1(23) -> 22 2_1(27) -> 26 2_1(30) -> 29 2_1(31) -> 240 2_1(45) -> 294 2_1(46) -> 344 2_1(47) -> 1 2_1(47) -> 46 2_1(52) -> 51 2_1(54) -> 1 2_1(66) -> 65 2_1(81) -> 80 2_1(85) -> 110 2_1(96) -> 15 2_1(98) -> 97 2_1(102) -> 116 2_1(110) -> 133 2_1(111) -> 110 2_1(116) -> 115 2_1(138) -> 137 2_1(139) -> 253 2_1(144) -> 143 2_1(145) -> 144 2_1(148) -> 15 2_1(151) -> 150 2_1(159) -> 229 2_1(168) -> 15 2_1(170) -> 169 2_1(175) -> 167 2_1(183) -> 182 2_1(187) -> 186 2_1(192) -> 191 2_1(193) -> 192 2_1(195) -> 161 2_1(209) -> 3 2_1(209) -> 15 2_1(209) -> 286 2_1(209) -> 344 2_1(209) -> 376 2_1(210) -> 209 2_1(222) -> 221 2_1(224) -> 15 2_1(232) -> 231 2_1(240) -> 239 2_1(250) -> 249 2_1(254) -> 253 2_1(256) -> 255 2_1(258) -> 257 2_1(259) -> 258 2_1(265) -> 264 2_1(270) -> 269 2_1(273) -> 15 2_1(276) -> 275 2_1(279) -> 278 2_1(281) -> 15 2_1(283) -> 282 2_1(287) -> 286 2_1(297) -> 296 2_1(300) -> 299 2_1(303) -> 302 2_1(318) -> 317 2_1(327) -> 326 2_1(338) -> 15 2_1(345) -> 344 2_1(353) -> 15 2_1(354) -> 15 2_1(355) -> 354 2_1(357) -> 356 2_1(386) -> 1 2_1(471) -> 15 2_1(661) -> 15 2_2(1) -> 376 2_2(2) -> 376 2_2(3) -> 376 2_2(4) -> 376 2_2(5) -> 376 2_2(6) -> 376 2_2(7) -> 62 2_2(47) -> 376 2_2(48) -> 376 2_2(49) -> 62 2_2(54) -> 1 2_2(54) -> 23 2_2(54) -> 43 2_2(54) -> 46 2_2(54) -> 78 2_2(54) -> 180 2_2(54) -> 280 2_2(54) -> 337 2_2(54) -> 345 2_2(55) -> 62 2_2(56) -> 62 2_2(59) -> 58 2_2(61) -> 60 2_2(74) -> 73 2_2(90) -> 89 2_2(96) -> 62 2_2(103) -> 376 2_2(114) -> 385 2_2(134) -> 62 2_2(140) -> 62 2_2(141) -> 62 2_2(149) -> 62 2_2(168) -> 394 2_2(202) -> 201 2_2(209) -> 62 2_2(217) -> 62 2_2(225) -> 62 2_2(234) -> 62 2_2(240) -> 403 2_2(242) -> 62 2_2(267) -> 62 2_2(273) -> 62 2_2(288) -> 62 2_2(294) -> 403 2_2(310) -> 309 2_2(333) -> 332 2_2(336) -> 60 2_2(338) -> 62 2_2(342) -> 412 2_2(347) -> 62 2_2(353) -> 62 2_2(354) -> 590 2_2(355) -> 62 2_2(363) -> 362 2_2(366) -> 365 2_2(368) -> 345 2_2(373) -> 372 2_2(375) -> 374 2_2(377) -> 112 2_2(382) -> 381 2_2(384) -> 383 2_2(386) -> 2 2_2(386) -> 24 2_2(386) -> 44 2_2(386) -> 181 2_2(387) -> 62 2_2(388) -> 62 2_2(391) -> 390 2_2(393) -> 392 2_2(395) -> 292 2_2(400) -> 399 2_2(402) -> 401 2_2(404) -> 340 2_2(409) -> 408 2_2(411) -> 410 2_2(416) -> 415 2_2(424) -> 423 2_2(432) -> 431 2_2(440) -> 439 2_2(448) -> 447 2_2(456) -> 455 2_2(465) -> 464 2_2(471) -> 62 2_2(474) -> 473 2_2(483) -> 482 2_2(492) -> 491 2_2(506) -> 505 2_2(553) -> 552 2_2(556) -> 286 2_2(559) -> 558 2_2(572) -> 571 2_2(573) -> 572 2_2(661) -> 62 2_2(664) -> 663 2_2(673) -> 672 2_2(722) -> 721 2_2(723) -> 722 2_2(734) -> 531 2_2(743) -> 742 2_2(750) -> 521 2_3(87) -> 804 2_3(453) -> 804 2_3(471) -> 804 2_3(540) -> 539 2_3(796) -> 78 2_3(801) -> 800 2_3(803) -> 802 2_3(808) -> 807 2_3(816) -> 815 3_0(1) -> 4 3_0(2) -> 4 3_0(3) -> 4 3_0(4) -> 4 3_0(5) -> 4 3_0(6) -> 4 3_1(1) -> 31 3_1(2) -> 31 3_1(3) -> 31 3_1(4) -> 31 3_1(5) -> 31 3_1(6) -> 31 3_1(7) -> 31 3_1(8) -> 7 3_1(12) -> 213 3_1(15) -> 14 3_1(20) -> 19 3_1(23) -> 320 3_1(24) -> 216 3_1(30) -> 260 3_1(31) -> 38 3_1(34) -> 33 3_1(35) -> 34 3_1(36) -> 35 3_1(38) -> 37 3_1(39) -> 16 3_1(42) -> 41 3_1(43) -> 42 3_1(46) -> 45 3_1(47) -> 31 3_1(54) -> 31 3_1(63) -> 1 3_1(63) -> 46 3_1(63) -> 345 3_1(64) -> 63 3_1(69) -> 68 3_1(71) -> 1 3_1(80) -> 79 3_1(85) -> 120 3_1(86) -> 102 3_1(103) -> 31 3_1(106) -> 105 3_1(109) -> 108 3_1(110) -> 272 3_1(111) -> 174 3_1(114) -> 31 3_1(121) -> 120 3_1(130) -> 129 3_1(140) -> 31 3_1(147) -> 146 3_1(167) -> 45 3_1(168) -> 31 3_1(173) -> 172 3_1(177) -> 176 3_1(180) -> 320 3_1(189) -> 148 3_1(196) -> 195 3_1(197) -> 196 3_1(198) -> 197 3_1(209) -> 31 3_1(214) -> 213 3_1(217) -> 31 3_1(222) -> 233 3_1(229) -> 228 3_1(239) -> 238 3_1(241) -> 3 3_1(241) -> 15 3_1(241) -> 344 3_1(241) -> 376 3_1(244) -> 243 3_1(245) -> 244 3_1(247) -> 246 3_1(248) -> 247 3_1(255) -> 209 3_1(261) -> 218 3_1(262) -> 261 3_1(266) -> 4 3_1(266) -> 14 3_1(266) -> 31 3_1(266) -> 375 3_1(273) -> 31 3_1(277) -> 276 3_1(288) -> 31 3_1(289) -> 288 3_1(295) -> 281 3_1(298) -> 297 3_1(305) -> 304 3_1(321) -> 320 3_1(326) -> 325 3_1(338) -> 31 3_1(340) -> 339 3_1(351) -> 350 3_1(353) -> 31 3_1(354) -> 31 3_1(355) -> 14 3_1(358) -> 357 3_1(386) -> 31 3_1(429) -> 1 3_1(471) -> 31 3_1(661) -> 31 3_2(61) -> 827 3_2(62) -> 61 3_2(63) -> 829 3_2(71) -> 1 3_2(71) -> 23 3_2(71) -> 43 3_2(71) -> 46 3_2(71) -> 78 3_2(71) -> 180 3_2(71) -> 280 3_2(71) -> 337 3_2(71) -> 345 3_2(72) -> 71 3_2(77) -> 76 3_2(89) -> 88 3_2(114) -> 367 3_2(136) -> 573 3_2(181) -> 61 3_2(203) -> 202 3_2(204) -> 203 3_2(205) -> 204 3_2(227) -> 573 3_2(241) -> 337 3_2(255) -> 337 3_2(266) -> 337 3_2(269) -> 573 3_2(289) -> 337 3_2(312) -> 311 3_2(316) -> 315 3_2(332) -> 331 3_2(336) -> 827 3_2(337) -> 336 3_2(376) -> 375 3_2(385) -> 384 3_2(394) -> 393 3_2(403) -> 402 3_2(412) -> 411 3_2(413) -> 345 3_2(414) -> 413 3_2(419) -> 418 3_2(421) -> 112 3_2(422) -> 421 3_2(427) -> 426 3_2(429) -> 2 3_2(429) -> 24 3_2(429) -> 44 3_2(429) -> 181 3_2(430) -> 429 3_2(435) -> 434 3_2(437) -> 292 3_2(438) -> 437 3_2(443) -> 442 3_2(445) -> 340 3_2(446) -> 445 3_2(451) -> 450 3_2(455) -> 454 3_2(464) -> 463 3_2(473) -> 472 3_2(482) -> 481 3_2(491) -> 490 3_2(501) -> 500 3_2(504) -> 503 3_2(507) -> 87 3_2(512) -> 511 3_2(552) -> 551 3_2(561) -> 560 3_2(564) -> 563 3_2(571) -> 570 3_2(574) -> 344 3_2(577) -> 576 3_2(578) -> 577 3_2(580) -> 579 3_2(581) -> 580 3_2(582) -> 15 3_2(582) -> 376 3_2(585) -> 584 3_2(586) -> 585 3_2(588) -> 587 3_2(589) -> 588 3_2(590) -> 61 3_2(663) -> 662 3_2(672) -> 671 3_2(725) -> 724 3_2(735) -> 734 3_2(736) -> 735 3_2(737) -> 736 3_2(745) -> 744 3_2(749) -> 748 3_2(753) -> 752 3_2(824) -> 823 3_2(825) -> 824 3_2(826) -> 825 3_2(828) -> 827 3_2(829) -> 828 3_3(541) -> 540 3_3(542) -> 541 3_3(543) -> 542 3_3(804) -> 803 3_3(805) -> 78 3_3(806) -> 805 3_3(811) -> 810 3_3(815) -> 814 4_0(1) -> 5 4_0(2) -> 5 4_0(3) -> 5 4_0(4) -> 5 4_0(5) -> 5 4_0(6) -> 5 4_1(1) -> 111 4_1(2) -> 111 4_1(3) -> 111 4_1(4) -> 111 4_1(5) -> 111 4_1(6) -> 111 4_1(7) -> 111 4_1(14) -> 13 4_1(15) -> 248 4_1(16) -> 111 4_1(17) -> 16 4_1(18) -> 17 4_1(23) -> 179 4_1(24) -> 154 4_1(29) -> 28 4_1(31) -> 30 4_1(32) -> 7 4_1(33) -> 32 4_1(37) -> 36 4_1(38) -> 36 4_1(41) -> 40 4_1(46) -> 85 4_1(47) -> 111 4_1(48) -> 47 4_1(51) -> 50 4_1(54) -> 111 4_1(65) -> 64 4_1(67) -> 66 4_1(68) -> 67 4_1(82) -> 81 4_1(84) -> 83 4_1(85) -> 254 4_1(86) -> 85 4_1(99) -> 98 4_1(100) -> 99 4_1(103) -> 1 4_1(103) -> 46 4_1(103) -> 345 4_1(104) -> 103 4_1(108) -> 107 4_1(110) -> 109 4_1(111) -> 139 4_1(115) -> 114 4_1(118) -> 117 4_1(119) -> 118 4_1(120) -> 119 4_1(122) -> 121 4_1(128) -> 127 4_1(132) -> 131 4_1(133) -> 132 4_1(136) -> 135 4_1(139) -> 199 4_1(140) -> 2 4_1(140) -> 24 4_1(140) -> 181 4_1(149) -> 111 4_1(152) -> 151 4_1(154) -> 153 4_1(155) -> 154 4_1(156) -> 150 4_1(158) -> 157 4_1(159) -> 158 4_1(160) -> 159 4_1(163) -> 162 4_1(164) -> 163 4_1(165) -> 164 4_1(167) -> 85 4_1(168) -> 111 4_1(180) -> 179 4_1(183) -> 111 4_1(186) -> 185 4_1(191) -> 190 4_1(194) -> 193 4_1(199) -> 198 4_1(209) -> 111 4_1(212) -> 211 4_1(216) -> 215 4_1(217) -> 3 4_1(217) -> 15 4_1(217) -> 133 4_1(217) -> 301 4_1(217) -> 344 4_1(217) -> 376 4_1(218) -> 217 4_1(223) -> 328 4_1(225) -> 111 4_1(227) -> 226 4_1(230) -> 85 4_1(233) -> 232 4_1(236) -> 235 4_1(237) -> 236 4_1(243) -> 242 4_1(246) -> 245 4_1(248) -> 265 4_1(249) -> 241 4_1(257) -> 256 4_1(269) -> 268 4_1(272) -> 271 4_1(273) -> 111 4_1(274) -> 273 4_1(275) -> 274 4_1(280) -> 279 4_1(284) -> 283 4_1(286) -> 285 4_1(288) -> 5 4_1(288) -> 85 4_1(288) -> 111 4_1(288) -> 154 4_1(288) -> 677 4_1(290) -> 289 4_1(292) -> 291 4_1(307) -> 306 4_1(320) -> 319 4_1(323) -> 85 4_1(324) -> 323 4_1(338) -> 111 4_1(339) -> 338 4_1(343) -> 342 4_1(344) -> 343 4_1(347) -> 111 4_1(348) -> 347 4_1(352) -> 83 4_1(353) -> 111 4_1(354) -> 111 4_1(386) -> 111 4_1(471) -> 85 4_1(661) -> 85 4_2(7) -> 529 4_2(27) -> 208 4_2(55) -> 54 4_2(58) -> 57 4_2(62) -> 581 4_2(73) -> 72 4_2(75) -> 74 4_2(76) -> 75 4_2(91) -> 90 4_2(93) -> 92 4_2(95) -> 94 4_2(96) -> 529 4_2(134) -> 529 4_2(136) -> 514 4_2(149) -> 529 4_2(156) -> 756 4_2(168) -> 506 4_2(181) -> 677 4_2(195) -> 555 4_2(206) -> 205 4_2(207) -> 206 4_2(208) -> 207 4_2(225) -> 529 4_2(227) -> 514 4_2(242) -> 529 4_2(267) -> 529 4_2(269) -> 514 4_2(273) -> 529 4_2(308) -> 99 4_2(308) -> 154 4_2(314) -> 313 4_2(330) -> 329 4_2(335) -> 334 4_2(337) -> 94 4_2(338) -> 529 4_2(347) -> 529 4_2(353) -> 506 4_2(354) -> 506 4_2(355) -> 740 4_2(360) -> 359 4_2(365) -> 364 4_2(367) -> 366 4_2(369) -> 368 4_2(372) -> 371 4_2(378) -> 377 4_2(381) -> 380 4_2(387) -> 386 4_2(390) -> 389 4_2(396) -> 395 4_2(399) -> 398 4_2(405) -> 404 4_2(408) -> 407 4_2(415) -> 414 4_2(417) -> 416 4_2(418) -> 417 4_2(423) -> 422 4_2(425) -> 424 4_2(426) -> 425 4_2(431) -> 430 4_2(433) -> 432 4_2(434) -> 433 4_2(439) -> 438 4_2(441) -> 440 4_2(442) -> 441 4_2(447) -> 446 4_2(449) -> 448 4_2(450) -> 449 4_2(457) -> 456 4_2(459) -> 458 4_2(461) -> 460 4_2(466) -> 465 4_2(468) -> 467 4_2(470) -> 469 4_2(471) -> 529 4_2(475) -> 474 4_2(477) -> 476 4_2(479) -> 478 4_2(484) -> 483 4_2(486) -> 485 4_2(488) -> 487 4_2(493) -> 492 4_2(495) -> 494 4_2(497) -> 496 4_2(498) -> 345 4_2(499) -> 498 4_2(503) -> 502 4_2(505) -> 504 4_2(509) -> 508 4_2(510) -> 509 4_2(511) -> 510 4_2(513) -> 512 4_2(524) -> 523 4_2(525) -> 524 4_2(526) -> 525 4_2(528) -> 733 4_2(533) -> 532 4_2(534) -> 533 4_2(535) -> 534 4_2(550) -> 549 4_2(554) -> 553 4_2(560) -> 559 4_2(565) -> 344 4_2(568) -> 567 4_2(569) -> 568 4_2(576) -> 575 4_2(579) -> 578 4_2(584) -> 583 4_2(587) -> 586 4_2(590) -> 589 4_2(661) -> 529 4_2(665) -> 664 4_2(667) -> 666 4_2(669) -> 668 4_2(674) -> 673 4_2(676) -> 675 4_2(718) -> 181 4_2(726) -> 94 4_2(730) -> 729 4_2(732) -> 731 4_2(733) -> 732 4_2(738) -> 737 4_2(739) -> 738 4_2(740) -> 739 4_2(747) -> 746 4_2(752) -> 751 4_2(822) -> 87 4_2(823) -> 822 4_2(827) -> 826 4_3(363) -> 546 4_3(544) -> 543 4_3(545) -> 544 4_3(546) -> 545 4_3(797) -> 796 4_3(800) -> 799 4_3(807) -> 806 4_3(809) -> 808 4_3(810) -> 809 4_3(817) -> 816 4_3(819) -> 818 4_3(821) -> 820 5_0(1) -> 6 5_0(2) -> 6 5_0(3) -> 6 5_0(4) -> 6 5_0(5) -> 6 5_0(6) -> 6 5_1(1) -> 86 5_1(2) -> 86 5_1(3) -> 86 5_1(4) -> 86 5_1(5) -> 86 5_1(6) -> 86 5_1(7) -> 1 5_1(7) -> 46 5_1(7) -> 78 5_1(7) -> 345 5_1(11) -> 10 5_1(19) -> 18 5_1(23) -> 194 5_1(24) -> 128 5_1(26) -> 25 5_1(31) -> 223 5_1(38) -> 223 5_1(44) -> 128 5_1(45) -> 223 5_1(46) -> 188 5_1(47) -> 86 5_1(48) -> 86 5_1(49) -> 48 5_1(53) -> 52 5_1(54) -> 86 5_1(55) -> 86 5_1(70) -> 69 5_1(85) -> 358 5_1(86) -> 147 5_1(96) -> 7 5_1(102) -> 223 5_1(103) -> 86 5_1(110) -> 277 5_1(111) -> 122 5_1(112) -> 39 5_1(114) -> 113 5_1(131) -> 130 5_1(134) -> 8 5_1(139) -> 138 5_1(140) -> 86 5_1(141) -> 140 5_1(146) -> 145 5_1(149) -> 148 5_1(160) -> 166 5_1(166) -> 165 5_1(168) -> 167 5_1(171) -> 170 5_1(184) -> 183 5_1(188) -> 187 5_1(190) -> 189 5_1(209) -> 86 5_1(211) -> 210 5_1(216) -> 307 5_1(217) -> 86 5_1(220) -> 219 5_1(221) -> 220 5_1(223) -> 222 5_1(225) -> 224 5_1(234) -> 217 5_1(235) -> 234 5_1(238) -> 237 5_1(240) -> 293 5_1(242) -> 241 5_1(254) -> 138 5_1(260) -> 259 5_1(267) -> 266 5_1(273) -> 4 5_1(273) -> 31 5_1(273) -> 38 5_1(278) -> 277 5_1(288) -> 86 5_1(291) -> 290 5_1(294) -> 293 5_1(328) -> 327 5_1(338) -> 6 5_1(338) -> 86 5_1(338) -> 128 5_1(338) -> 147 5_1(338) -> 187 5_1(338) -> 461 5_1(342) -> 341 5_1(347) -> 346 5_1(349) -> 348 5_1(350) -> 349 5_1(353) -> 338 5_1(354) -> 353 5_1(355) -> 86 5_1(386) -> 86 5_1(387) -> 86 5_1(471) -> 1 5_1(661) -> 1 5_2(1) -> 461 5_2(2) -> 461 5_2(3) -> 461 5_2(4) -> 461 5_2(5) -> 461 5_2(6) -> 461 5_2(7) -> 95 5_2(47) -> 461 5_2(48) -> 461 5_2(54) -> 95 5_2(55) -> 95 5_2(56) -> 55 5_2(60) -> 59 5_2(78) -> 77 5_2(87) -> 46 5_2(87) -> 78 5_2(87) -> 280 5_2(87) -> 337 5_2(87) -> 345 5_2(96) -> 95 5_2(103) -> 461 5_2(114) -> 470 5_2(134) -> 95 5_2(140) -> 95 5_2(149) -> 95 5_2(168) -> 479 5_2(209) -> 95 5_2(217) -> 95 5_2(225) -> 95 5_2(240) -> 488 5_2(242) -> 95 5_2(267) -> 95 5_2(273) -> 95 5_2(288) -> 95 5_2(294) -> 488 5_2(315) -> 314 5_2(334) -> 333 5_2(336) -> 335 5_2(338) -> 95 5_2(342) -> 497 5_2(347) -> 95 5_2(353) -> 669 5_2(354) -> 669 5_2(355) -> 726 5_2(362) -> 361 5_2(370) -> 369 5_2(374) -> 373 5_2(379) -> 378 5_2(383) -> 382 5_2(386) -> 95 5_2(387) -> 95 5_2(388) -> 387 5_2(392) -> 391 5_2(397) -> 396 5_2(401) -> 400 5_2(406) -> 405 5_2(410) -> 409 5_2(420) -> 419 5_2(428) -> 427 5_2(436) -> 435 5_2(444) -> 443 5_2(452) -> 451 5_2(453) -> 345 5_2(462) -> 112 5_2(471) -> 2 5_2(471) -> 24 5_2(471) -> 44 5_2(471) -> 181 5_2(480) -> 292 5_2(489) -> 340 5_2(514) -> 513 5_2(527) -> 526 5_2(528) -> 527 5_2(536) -> 535 5_2(537) -> 536 5_2(548) -> 547 5_2(562) -> 561 5_2(563) -> 562 5_2(566) -> 565 5_2(567) -> 566 5_2(570) -> 569 5_2(575) -> 574 5_2(583) -> 582 5_2(661) -> 1 5_2(661) -> 337 5_2(670) -> 23 5_2(670) -> 43 5_2(670) -> 46 5_2(670) -> 180 5_2(719) -> 718 5_2(724) -> 723 5_2(726) -> 725 5_2(728) -> 727 5_2(748) -> 747 5_3(87) -> 821 5_3(453) -> 821 5_3(471) -> 821 5_3(798) -> 797 5_3(802) -> 801 5_3(812) -> 811 5_3(813) -> 78 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: 0(0(0(5(4(2(1(x1))))))) -> 5(3(0(2(5(2(1(4(3(2(x1)))))))))) 0(0(0(5(5(1(5(x1))))))) -> 0(4(4(5(3(2(1(2(0(1(x1)))))))))) 0(0(3(5(0(5(x1)))))) -> 0(4(1(5(2(0(4(2(4(3(x1)))))))))) 0(0(5(3(x1)))) -> 5(4(4(3(3(3(4(3(3(3(x1)))))))))) 0(0(5(3(2(0(x1)))))) -> 0(3(0(4(3(3(0(1(3(0(x1)))))))))) 0(5(x1)) -> 2(4(5(0(4(2(5(2(3(2(x1)))))))))) 0(5(x1)) -> 3(3(4(2(4(4(3(5(0(2(x1)))))))))) 0(5(x1)) -> 5(1(3(2(4(0(4(1(4(5(x1)))))))))) 0(5(0(0(0(5(x1)))))) -> 5(5(0(2(4(4(1(1(3(5(x1)))))))))) 0(5(0(5(x1)))) -> 4(4(1(3(0(4(3(4(2(4(x1)))))))))) 0(5(1(2(1(2(4(x1))))))) -> 0(3(5(0(5(4(2(2(3(5(x1)))))))))) 0(5(1(4(x1)))) -> 5(3(1(4(4(4(3(4(5(4(x1)))))))))) 0(5(2(0(3(x1))))) -> 3(0(0(1(1(0(4(5(1(3(x1)))))))))) 0(5(2(1(5(x1))))) -> 5(4(0(3(5(4(4(2(2(4(x1)))))))))) 0(5(5(0(5(x1))))) -> 5(3(5(1(4(0(2(5(4(4(x1)))))))))) 1(0(0(5(5(2(x1)))))) -> 4(5(1(0(2(2(5(3(5(5(x1)))))))))) 1(0(2(2(1(2(x1)))))) -> 1(5(0(2(4(0(4(4(1(2(x1)))))))))) 1(0(4(5(5(1(5(x1))))))) -> 1(5(0(4(1(4(4(4(0(4(x1)))))))))) 1(0(5(x1))) -> 1(1(1(4(4(4(5(5(0(4(x1)))))))))) 1(0(5(0(2(0(x1)))))) -> 0(5(0(2(5(1(3(0(3(4(x1)))))))))) 1(0(5(1(0(x1))))) -> 0(2(1(3(1(1(4(0(1(0(x1)))))))))) 1(3(2(2(2(1(x1)))))) -> 0(1(2(5(0(4(2(5(5(0(x1)))))))))) 1(5(0(5(x1)))) -> 1(3(5(4(2(2(4(5(0(1(x1)))))))))) 1(5(2(x1))) -> 1(1(2(3(3(3(4(4(4(4(x1)))))))))) 2(0(0(0(5(2(1(x1))))))) -> 2(2(5(4(1(3(1(4(3(1(x1)))))))))) 2(0(0(5(0(5(x1)))))) -> 4(4(1(5(5(2(5(5(3(5(x1)))))))))) 2(0(3(0(1(2(x1)))))) -> 1(5(1(4(0(3(2(4(0(4(x1)))))))))) 2(0(3(0(4(1(5(x1))))))) -> 2(0(1(2(4(3(5(5(3(0(x1)))))))))) 2(0(5(1(4(x1))))) -> 4(5(5(4(4(5(3(2(2(3(x1)))))))))) 2(0(5(5(x1)))) -> 3(5(4(3(3(4(3(3(4(2(x1)))))))))) 2(1(0(5(0(5(x1)))))) -> 3(4(2(1(0(1(2(4(4(5(x1)))))))))) 2(1(2(1(2(x1))))) -> 2(3(2(4(2(2(5(3(4(3(x1)))))))))) 2(2(4(1(0(5(5(x1))))))) -> 4(4(3(3(0(0(2(4(4(2(x1)))))))))) 3(2(0(5(4(1(5(x1))))))) -> 3(5(1(4(2(0(4(3(2(4(x1)))))))))) 3(3(0(1(2(0(3(x1))))))) -> 5(4(4(2(3(5(2(4(0(3(x1)))))))))) 4(0(0(5(1(x1))))) -> 1(0(2(4(0(4(2(0(3(0(x1)))))))))) 4(0(5(2(0(5(0(x1))))))) -> 4(3(4(5(4(0(5(2(3(0(x1)))))))))) 4(0(5(5(5(0(5(x1))))))) -> 1(3(0(2(3(1(2(0(2(2(x1)))))))))) 4(1(0(5(x1)))) -> 4(0(2(1(3(1(4(5(3(1(x1)))))))))) 4(1(0(5(0(4(x1)))))) -> 4(1(2(1(4(3(0(1(0(4(x1)))))))))) 5(1(3(0(5(x1))))) -> 0(4(0(3(2(5(4(5(3(0(x1)))))))))) 5(1(5(0(5(3(5(x1))))))) -> 5(4(3(0(5(4(4(2(0(5(x1)))))))))) 5(2(2(1(0(0(5(x1))))))) -> 5(1(5(4(5(5(3(0(1(4(x1)))))))))) 5(5(0(5(5(1(x1)))))) -> 5(5(5(2(1(2(3(5(4(0(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))