/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(5(0(x1)))) -> 0(0(2(2(2(3(3(3(1(1(x1)))))))))) 0(0(5(0(3(1(x1)))))) -> 0(0(4(1(1(4(5(2(3(1(x1)))))))))) 0(2(0(0(5(4(5(x1))))))) -> 0(2(1(2(1(4(0(4(4(5(x1)))))))))) 0(2(0(2(5(0(5(x1))))))) -> 2(5(3(1(0(4(2(5(1(1(x1)))))))))) 0(3(0(0(3(5(0(x1))))))) -> 0(3(2(4(2(2(2(5(2(0(x1)))))))))) 0(3(2(0(x1)))) -> 3(4(1(2(3(2(4(0(1(1(x1)))))))))) 0(3(4(x1))) -> 3(1(2(1(2(1(1(3(5(4(x1)))))))))) 0(3(4(3(4(x1))))) -> 2(1(0(4(2(3(5(3(3(4(x1)))))))))) 0(3(4(4(0(1(5(x1))))))) -> 2(4(2(4(0(4(3(2(1(2(x1)))))))))) 0(3(5(0(5(1(x1)))))) -> 5(1(2(5(2(2(3(2(4(0(x1)))))))))) 0(5(1(0(3(5(x1)))))) -> 2(1(3(2(2(5(1(1(3(5(x1)))))))))) 0(5(5(4(4(0(5(x1))))))) -> 2(1(1(5(0(5(0(4(4(5(x1)))))))))) 0(5(5(4(5(1(x1)))))) -> 5(5(2(0(1(1(1(2(0(1(x1)))))))))) 1(2(0(3(2(3(3(x1))))))) -> 1(2(4(3(3(5(4(1(1(3(x1)))))))))) 1(3(4(0(0(5(4(x1))))))) -> 1(0(4(2(0(4(4(5(2(4(x1)))))))))) 3(0(3(4(2(5(x1)))))) -> 1(1(5(5(5(1(2(2(2(2(x1)))))))))) 3(2(5(x1))) -> 2(2(5(3(3(2(2(1(1(2(x1)))))))))) 3(3(0(0(4(0(2(x1))))))) -> 4(1(1(5(0(1(2(5(5(1(x1)))))))))) 3(4(0(5(x1)))) -> 2(1(1(0(1(1(4(5(4(2(x1)))))))))) 3(4(4(5(0(x1))))) -> 2(2(1(1(3(5(1(2(2(0(x1)))))))))) 3(5(0(5(5(5(4(x1))))))) -> 2(4(4(4(5(4(1(3(3(2(x1)))))))))) 3(5(2(5(3(1(x1)))))) -> 3(0(1(1(4(1(4(0(1(1(x1)))))))))) 4(0(0(4(5(4(0(x1))))))) -> 4(3(1(2(1(3(4(0(3(1(x1)))))))))) 4(0(4(0(5(4(5(x1))))))) -> 1(5(1(5(5(1(5(5(1(1(x1)))))))))) 4(1(0(x1))) -> 1(2(0(2(4(4(4(4(4(4(x1)))))))))) 4(3(0(0(2(x1))))) -> 2(1(1(0(1(1(0(0(2(1(x1)))))))))) 4(3(0(5(2(2(4(x1))))))) -> 1(2(4(1(2(0(0(4(1(4(x1)))))))))) 4(3(3(2(5(x1))))) -> 1(1(1(4(2(5(2(1(4(5(x1)))))))))) 4(3(4(4(3(3(5(x1))))))) -> 2(3(5(3(5(1(4(5(3(5(x1)))))))))) 4(5(1(5(4(x1))))) -> 1(3(5(5(2(1(1(5(2(2(x1)))))))))) 4(5(5(4(x1)))) -> 1(3(0(4(1(4(2(2(2(2(x1)))))))))) 5(0(1(3(3(2(0(x1))))))) -> 5(2(1(3(5(1(5(1(1(1(x1)))))))))) 5(0(3(3(2(5(x1)))))) -> 2(0(1(3(0(4(3(5(1(1(x1)))))))))) 5(0(5(0(x1)))) -> 5(2(4(2(5(2(2(3(2(4(x1)))))))))) 5(0(5(0(5(0(3(x1))))))) -> 0(1(5(0(1(2(3(4(4(3(x1)))))))))) 5(1(0(0(1(3(4(x1))))))) -> 5(5(3(2(4(1(2(3(3(4(x1)))))))))) 5(2(0(3(0(2(4(x1))))))) -> 0(2(3(5(5(1(2(0(1(4(x1)))))))))) 5(3(0(0(0(5(4(x1))))))) -> 5(1(1(5(3(2(4(4(0(0(x1)))))))))) 5(4(0(3(4(3(x1)))))) -> 5(3(1(4(3(2(2(1(4(3(x1)))))))))) 5(4(1(0(0(0(x1)))))) -> 3(5(2(2(1(2(2(4(3(2(x1)))))))))) 5(4(3(3(0(5(3(x1))))))) -> 5(1(1(3(5(4(3(5(1(3(x1)))))))))) 5(4(5(1(0(x1))))) -> 2(1(1(5(3(1(4(2(1(0(x1)))))))))) 5(4(5(3(3(0(x1)))))) -> 5(0(4(3(0(1(1(1(3(0(x1)))))))))) 5(4(5(4(5(4(x1)))))) -> 1(0(0(3(0(1(1(2(1(4(x1)))))))))) 5(5(0(4(5(4(x1)))))) -> 5(3(4(4(3(5(1(1(2(5(x1)))))))))) 5(5(1(3(5(x1))))) -> 1(1(4(1(1(4(2(0(2(2(x1)))))))))) - Signature: {0/1,1/1,3/1,4/1,5/1} / {2/1} - 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) -> 39 0_1(2) -> 1 0_1(2) -> 24 0_1(2) -> 37 0_1(2) -> 39 0_1(2) -> 284 0_1(3) -> 2 0_1(9) -> 46 0_1(10) -> 101 0_1(16) -> 181 0_1(22) -> 21 0_1(29) -> 28 0_1(39) -> 284 0_1(65) -> 64 0_1(74) -> 73 0_1(78) -> 101 0_1(79) -> 39 0_1(94) -> 93 0_1(97) -> 96 0_1(102) -> 39 0_1(111) -> 102 0_1(114) -> 113 0_1(124) -> 323 0_1(140) -> 39 0_1(144) -> 143 0_1(148) -> 92 0_1(163) -> 40 0_1(187) -> 103 0_1(211) -> 150 0_1(212) -> 211 0_1(215) -> 214 0_1(216) -> 215 0_1(217) -> 278 0_1(235) -> 229 0_1(244) -> 25 0_1(247) -> 246 0_1(265) -> 264 0_1(305) -> 78 0_1(308) -> 307 0_1(309) -> 111 0_1(311) -> 310 0_2(168) -> 167 0_2(174) -> 173 0_2(195) -> 194 0_2(204) -> 203 0_2(305) -> 368 0_2(331) -> 330 0_2(333) -> 284 0_2(334) -> 333 0_2(371) -> 370 0_2(380) -> 379 0_2(390) -> 389 0_2(393) -> 392 0_2(394) -> 393 1_0(1) -> 1 1_1(1) -> 10 1_1(2) -> 10 1_1(4) -> 10 1_1(9) -> 243 1_1(10) -> 9 1_1(12) -> 11 1_1(13) -> 12 1_1(17) -> 10 1_1(18) -> 17 1_1(20) -> 19 1_1(23) -> 222 1_1(25) -> 10 1_1(26) -> 10 1_1(27) -> 9 1_1(28) -> 27 1_1(38) -> 77 1_1(39) -> 304 1_1(40) -> 9 1_1(42) -> 41 1_1(45) -> 166 1_1(47) -> 40 1_1(49) -> 48 1_1(51) -> 50 1_1(52) -> 51 1_1(54) -> 217 1_1(64) -> 25 1_1(69) -> 90 1_1(77) -> 130 1_1(78) -> 10 1_1(79) -> 78 1_1(89) -> 308 1_1(90) -> 89 1_1(91) -> 90 1_1(92) -> 64 1_1(98) -> 97 1_1(99) -> 98 1_1(100) -> 99 1_1(102) -> 1 1_1(102) -> 10 1_1(102) -> 23 1_1(102) -> 24 1_1(102) -> 53 1_1(102) -> 54 1_1(102) -> 69 1_1(102) -> 77 1_1(102) -> 85 1_1(102) -> 109 1_1(102) -> 110 1_1(102) -> 146 1_1(102) -> 216 1_1(102) -> 269 1_1(109) -> 108 1_1(110) -> 109 1_1(118) -> 102 1_1(122) -> 121 1_1(124) -> 156 1_1(141) -> 140 1_1(142) -> 141 1_1(145) -> 144 1_1(149) -> 148 1_1(150) -> 149 1_1(153) -> 125 1_1(154) -> 153 1_1(161) -> 160 1_1(164) -> 163 1_1(165) -> 164 1_1(177) -> 176 1_1(179) -> 178 1_1(183) -> 182 1_1(186) -> 185 1_1(213) -> 104 1_1(218) -> 118 1_1(221) -> 312 1_1(227) -> 226 1_1(233) -> 232 1_1(234) -> 233 1_1(237) -> 236 1_1(239) -> 238 1_1(242) -> 241 1_1(244) -> 10 1_1(245) -> 244 1_1(263) -> 2 1_1(266) -> 265 1_1(269) -> 290 1_1(273) -> 272 1_1(277) -> 276 1_1(279) -> 79 1_1(285) -> 9 1_1(286) -> 285 1_1(294) -> 293 1_1(302) -> 301 1_1(305) -> 10 1_1(312) -> 311 1_1(317) -> 316 1_1(318) -> 317 1_1(320) -> 319 1_1(321) -> 320 1_2(4) -> 395 1_2(28) -> 175 1_2(56) -> 55 1_2(58) -> 57 1_2(60) -> 59 1_2(61) -> 60 1_2(138) -> 137 1_2(139) -> 138 1_2(169) -> 168 1_2(170) -> 169 1_2(172) -> 171 1_2(175) -> 174 1_2(193) -> 22 1_2(193) -> 23 1_2(193) -> 54 1_2(193) -> 192 1_2(193) -> 216 1_2(193) -> 268 1_2(193) -> 269 1_2(202) -> 107 1_2(305) -> 341 1_2(324) -> 146 1_2(325) -> 324 1_2(327) -> 326 1_2(328) -> 327 1_2(341) -> 340 1_2(343) -> 342 1_2(345) -> 344 1_2(347) -> 346 1_2(348) -> 347 1_2(358) -> 357 1_2(359) -> 358 1_2(362) -> 361 1_2(363) -> 362 1_2(366) -> 365 1_2(369) -> 216 1_2(378) -> 23 1_2(388) -> 387 1_2(389) -> 388 1_2(391) -> 390 1_2(392) -> 391 2_0(1) -> 1 2_1(1) -> 38 2_1(2) -> 38 2_1(3) -> 38 2_1(4) -> 3 2_1(5) -> 4 2_1(6) -> 5 2_1(10) -> 212 2_1(16) -> 15 2_1(17) -> 2 2_1(19) -> 18 2_1(24) -> 318 2_1(25) -> 1 2_1(25) -> 24 2_1(25) -> 39 2_1(25) -> 53 2_1(25) -> 54 2_1(25) -> 70 2_1(25) -> 91 2_1(25) -> 110 2_1(25) -> 162 2_1(25) -> 267 2_1(25) -> 269 2_1(26) -> 38 2_1(31) -> 30 2_1(33) -> 32 2_1(35) -> 34 2_1(36) -> 35 2_1(37) -> 36 2_1(38) -> 124 2_1(39) -> 38 2_1(43) -> 42 2_1(45) -> 44 2_1(48) -> 47 2_1(50) -> 49 2_1(54) -> 117 2_1(67) -> 66 2_1(69) -> 273 2_1(72) -> 71 2_1(77) -> 76 2_1(78) -> 38 2_1(80) -> 79 2_1(82) -> 81 2_1(83) -> 82 2_1(85) -> 84 2_1(87) -> 86 2_1(88) -> 87 2_1(96) -> 95 2_1(101) -> 100 2_1(103) -> 102 2_1(113) -> 112 2_1(123) -> 122 2_1(124) -> 123 2_1(125) -> 25 2_1(129) -> 128 2_1(130) -> 129 2_1(140) -> 38 2_1(146) -> 145 2_1(178) -> 177 2_1(182) -> 38 2_1(188) -> 187 2_1(214) -> 213 2_1(217) -> 221 2_1(220) -> 219 2_1(221) -> 288 2_1(222) -> 221 2_1(230) -> 38 2_1(232) -> 231 2_1(238) -> 78 2_1(250) -> 249 2_1(252) -> 251 2_1(253) -> 252 2_1(264) -> 38 2_1(267) -> 266 2_1(271) -> 270 2_1(278) -> 277 2_1(282) -> 281 2_1(289) -> 288 2_1(290) -> 289 2_1(291) -> 38 2_1(292) -> 291 2_1(293) -> 292 2_1(295) -> 294 2_1(296) -> 295 2_1(304) -> 303 2_1(323) -> 322 2_2(26) -> 139 2_2(57) -> 56 2_2(59) -> 58 2_2(78) -> 359 2_2(95) -> 359 2_2(131) -> 52 2_2(131) -> 69 2_2(131) -> 70 2_2(131) -> 91 2_2(131) -> 110 2_2(131) -> 161 2_2(132) -> 131 2_2(136) -> 135 2_2(137) -> 136 2_2(194) -> 193 2_2(196) -> 195 2_2(203) -> 202 2_2(205) -> 204 2_2(224) -> 332 2_2(230) -> 332 2_2(231) -> 359 2_2(255) -> 254 2_2(257) -> 256 2_2(259) -> 258 2_2(260) -> 259 2_2(262) -> 261 2_2(275) -> 332 2_2(291) -> 332 2_2(330) -> 329 2_2(332) -> 331 2_2(335) -> 334 2_2(336) -> 335 2_2(337) -> 336 2_2(344) -> 343 2_2(346) -> 345 2_2(351) -> 162 2_2(352) -> 351 2_2(356) -> 355 2_2(357) -> 356 2_2(360) -> 267 2_2(361) -> 360 2_2(367) -> 366 2_2(368) -> 367 2_2(370) -> 369 2_2(372) -> 371 2_2(379) -> 378 2_2(381) -> 380 2_2(387) -> 269 2_2(395) -> 394 3_0(1) -> 1 3_1(1) -> 110 3_1(7) -> 6 3_1(8) -> 7 3_1(9) -> 8 3_1(10) -> 16 3_1(24) -> 91 3_1(27) -> 26 3_1(31) -> 248 3_1(32) -> 2 3_1(38) -> 162 3_1(39) -> 69 3_1(40) -> 1 3_1(40) -> 24 3_1(40) -> 39 3_1(40) -> 53 3_1(40) -> 91 3_1(40) -> 110 3_1(44) -> 43 3_1(53) -> 52 3_1(54) -> 70 3_1(68) -> 67 3_1(70) -> 69 3_1(76) -> 75 3_1(84) -> 83 3_1(86) -> 64 3_1(105) -> 104 3_1(106) -> 105 3_1(117) -> 253 3_1(127) -> 126 3_1(128) -> 127 3_1(147) -> 299 3_1(155) -> 154 3_1(162) -> 161 3_1(176) -> 140 3_1(180) -> 179 3_1(192) -> 267 3_1(223) -> 25 3_1(225) -> 224 3_1(229) -> 102 3_1(240) -> 239 3_1(246) -> 245 3_1(268) -> 267 3_1(270) -> 95 3_1(274) -> 17 3_1(281) -> 280 3_1(285) -> 78 3_1(288) -> 287 3_1(297) -> 279 3_1(300) -> 299 3_1(301) -> 93 3_1(307) -> 306 3_1(310) -> 309 3_1(315) -> 314 3_2(55) -> 39 3_2(55) -> 284 3_2(62) -> 61 3_2(134) -> 133 3_2(135) -> 134 3_2(167) -> 52 3_2(167) -> 91 3_2(261) -> 260 3_2(338) -> 337 3_2(339) -> 338 3_2(340) -> 339 3_2(342) -> 101 3_2(349) -> 348 3_2(354) -> 353 3_2(355) -> 354 3_2(364) -> 363 4_0(1) -> 1 4_1(1) -> 54 4_1(2) -> 54 4_1(9) -> 107 4_1(10) -> 216 4_1(11) -> 3 4_1(14) -> 13 4_1(21) -> 20 4_1(23) -> 22 4_1(24) -> 23 4_1(25) -> 23 4_1(30) -> 29 4_1(34) -> 33 4_1(37) -> 13 4_1(38) -> 152 4_1(39) -> 85 4_1(41) -> 40 4_1(46) -> 45 4_1(54) -> 192 4_1(66) -> 65 4_1(68) -> 227 4_1(71) -> 25 4_1(73) -> 72 4_1(75) -> 74 4_1(85) -> 22 4_1(104) -> 103 4_1(108) -> 107 4_1(110) -> 269 4_1(111) -> 54 4_1(112) -> 111 4_1(115) -> 114 4_1(116) -> 115 4_1(122) -> 237 4_1(140) -> 1 4_1(140) -> 54 4_1(140) -> 85 4_1(140) -> 110 4_1(140) -> 283 4_1(151) -> 150 4_1(157) -> 71 4_1(158) -> 157 4_1(160) -> 159 4_1(162) -> 296 4_1(166) -> 165 4_1(181) -> 180 4_1(189) -> 188 4_1(190) -> 189 4_1(191) -> 190 4_1(192) -> 191 4_1(212) -> 302 4_1(217) -> 216 4_1(219) -> 218 4_1(228) -> 227 4_1(236) -> 235 4_1(248) -> 247 4_1(249) -> 238 4_1(269) -> 268 4_1(272) -> 271 4_1(283) -> 282 4_1(284) -> 283 4_1(287) -> 286 4_1(299) -> 298 4_1(303) -> 302 4_1(305) -> 54 4_1(306) -> 305 4_1(313) -> 285 4_1(314) -> 313 4_1(319) -> 118 4_1(322) -> 321 4_2(2) -> 377 4_2(3) -> 377 4_2(22) -> 262 4_2(41) -> 63 4_2(65) -> 386 4_2(111) -> 201 4_2(163) -> 210 4_2(171) -> 170 4_2(173) -> 172 4_2(197) -> 196 4_2(198) -> 197 4_2(199) -> 198 4_2(200) -> 199 4_2(201) -> 200 4_2(206) -> 205 4_2(207) -> 206 4_2(208) -> 207 4_2(209) -> 208 4_2(210) -> 209 4_2(244) -> 201 4_2(256) -> 255 4_2(305) -> 201 4_2(313) -> 350 4_2(326) -> 325 4_2(329) -> 328 4_2(373) -> 372 4_2(374) -> 373 4_2(375) -> 374 4_2(376) -> 375 4_2(377) -> 376 4_2(382) -> 381 4_2(383) -> 382 4_2(384) -> 383 4_2(385) -> 384 4_2(386) -> 385 5_0(1) -> 1 5_1(1) -> 24 5_1(9) -> 31 5_1(10) -> 147 5_1(15) -> 14 5_1(21) -> 94 5_1(26) -> 25 5_1(31) -> 186 5_1(38) -> 37 5_1(40) -> 53 5_1(54) -> 53 5_1(69) -> 68 5_1(78) -> 1 5_1(78) -> 24 5_1(78) -> 39 5_1(78) -> 53 5_1(78) -> 68 5_1(78) -> 147 5_1(81) -> 80 5_1(89) -> 88 5_1(91) -> 228 5_1(93) -> 92 5_1(95) -> 78 5_1(99) -> 275 5_1(107) -> 106 5_1(109) -> 300 5_1(117) -> 116 5_1(119) -> 118 5_1(120) -> 119 5_1(121) -> 120 5_1(124) -> 234 5_1(126) -> 125 5_1(140) -> 24 5_1(143) -> 142 5_1(147) -> 146 5_1(152) -> 151 5_1(156) -> 155 5_1(159) -> 158 5_1(182) -> 102 5_1(184) -> 183 5_1(185) -> 184 5_1(221) -> 220 5_1(224) -> 223 5_1(226) -> 225 5_1(230) -> 229 5_1(231) -> 230 5_1(241) -> 240 5_1(243) -> 242 5_1(251) -> 250 5_1(264) -> 263 5_1(275) -> 274 5_1(276) -> 275 5_1(280) -> 279 5_1(291) -> 40 5_1(298) -> 297 5_1(316) -> 315 5_2(63) -> 62 5_2(133) -> 132 5_2(254) -> 92 5_2(258) -> 257 5_2(350) -> 349 5_2(353) -> 352 5_2(365) -> 364 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: 0(0(5(0(x1)))) -> 0(0(2(2(2(3(3(3(1(1(x1)))))))))) 0(0(5(0(3(1(x1)))))) -> 0(0(4(1(1(4(5(2(3(1(x1)))))))))) 0(2(0(0(5(4(5(x1))))))) -> 0(2(1(2(1(4(0(4(4(5(x1)))))))))) 0(2(0(2(5(0(5(x1))))))) -> 2(5(3(1(0(4(2(5(1(1(x1)))))))))) 0(3(0(0(3(5(0(x1))))))) -> 0(3(2(4(2(2(2(5(2(0(x1)))))))))) 0(3(2(0(x1)))) -> 3(4(1(2(3(2(4(0(1(1(x1)))))))))) 0(3(4(x1))) -> 3(1(2(1(2(1(1(3(5(4(x1)))))))))) 0(3(4(3(4(x1))))) -> 2(1(0(4(2(3(5(3(3(4(x1)))))))))) 0(3(4(4(0(1(5(x1))))))) -> 2(4(2(4(0(4(3(2(1(2(x1)))))))))) 0(3(5(0(5(1(x1)))))) -> 5(1(2(5(2(2(3(2(4(0(x1)))))))))) 0(5(1(0(3(5(x1)))))) -> 2(1(3(2(2(5(1(1(3(5(x1)))))))))) 0(5(5(4(4(0(5(x1))))))) -> 2(1(1(5(0(5(0(4(4(5(x1)))))))))) 0(5(5(4(5(1(x1)))))) -> 5(5(2(0(1(1(1(2(0(1(x1)))))))))) 1(2(0(3(2(3(3(x1))))))) -> 1(2(4(3(3(5(4(1(1(3(x1)))))))))) 1(3(4(0(0(5(4(x1))))))) -> 1(0(4(2(0(4(4(5(2(4(x1)))))))))) 3(0(3(4(2(5(x1)))))) -> 1(1(5(5(5(1(2(2(2(2(x1)))))))))) 3(2(5(x1))) -> 2(2(5(3(3(2(2(1(1(2(x1)))))))))) 3(3(0(0(4(0(2(x1))))))) -> 4(1(1(5(0(1(2(5(5(1(x1)))))))))) 3(4(0(5(x1)))) -> 2(1(1(0(1(1(4(5(4(2(x1)))))))))) 3(4(4(5(0(x1))))) -> 2(2(1(1(3(5(1(2(2(0(x1)))))))))) 3(5(0(5(5(5(4(x1))))))) -> 2(4(4(4(5(4(1(3(3(2(x1)))))))))) 3(5(2(5(3(1(x1)))))) -> 3(0(1(1(4(1(4(0(1(1(x1)))))))))) 4(0(0(4(5(4(0(x1))))))) -> 4(3(1(2(1(3(4(0(3(1(x1)))))))))) 4(0(4(0(5(4(5(x1))))))) -> 1(5(1(5(5(1(5(5(1(1(x1)))))))))) 4(1(0(x1))) -> 1(2(0(2(4(4(4(4(4(4(x1)))))))))) 4(3(0(0(2(x1))))) -> 2(1(1(0(1(1(0(0(2(1(x1)))))))))) 4(3(0(5(2(2(4(x1))))))) -> 1(2(4(1(2(0(0(4(1(4(x1)))))))))) 4(3(3(2(5(x1))))) -> 1(1(1(4(2(5(2(1(4(5(x1)))))))))) 4(3(4(4(3(3(5(x1))))))) -> 2(3(5(3(5(1(4(5(3(5(x1)))))))))) 4(5(1(5(4(x1))))) -> 1(3(5(5(2(1(1(5(2(2(x1)))))))))) 4(5(5(4(x1)))) -> 1(3(0(4(1(4(2(2(2(2(x1)))))))))) 5(0(1(3(3(2(0(x1))))))) -> 5(2(1(3(5(1(5(1(1(1(x1)))))))))) 5(0(3(3(2(5(x1)))))) -> 2(0(1(3(0(4(3(5(1(1(x1)))))))))) 5(0(5(0(x1)))) -> 5(2(4(2(5(2(2(3(2(4(x1)))))))))) 5(0(5(0(5(0(3(x1))))))) -> 0(1(5(0(1(2(3(4(4(3(x1)))))))))) 5(1(0(0(1(3(4(x1))))))) -> 5(5(3(2(4(1(2(3(3(4(x1)))))))))) 5(2(0(3(0(2(4(x1))))))) -> 0(2(3(5(5(1(2(0(1(4(x1)))))))))) 5(3(0(0(0(5(4(x1))))))) -> 5(1(1(5(3(2(4(4(0(0(x1)))))))))) 5(4(0(3(4(3(x1)))))) -> 5(3(1(4(3(2(2(1(4(3(x1)))))))))) 5(4(1(0(0(0(x1)))))) -> 3(5(2(2(1(2(2(4(3(2(x1)))))))))) 5(4(3(3(0(5(3(x1))))))) -> 5(1(1(3(5(4(3(5(1(3(x1)))))))))) 5(4(5(1(0(x1))))) -> 2(1(1(5(3(1(4(2(1(0(x1)))))))))) 5(4(5(3(3(0(x1)))))) -> 5(0(4(3(0(1(1(1(3(0(x1)))))))))) 5(4(5(4(5(4(x1)))))) -> 1(0(0(3(0(1(1(2(1(4(x1)))))))))) 5(5(0(4(5(4(x1)))))) -> 5(3(4(4(3(5(1(1(2(5(x1)))))))))) 5(5(1(3(5(x1))))) -> 1(1(4(1(1(4(2(0(2(2(x1)))))))))) - Signature: {0/1,1/1,3/1,4/1,5/1} / {2/1} - 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))