/export/starexec/sandbox/solver/bin/starexec_run_tct_dc /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: 0(0(2(2(5(0(x1)))))) -> 0(2(5(3(4(0(1(2(5(0(x1)))))))))) 0(0(5(2(4(2(5(x1))))))) -> 0(2(0(4(2(1(2(1(3(3(x1)))))))))) 0(2(2(5(5(x1))))) -> 2(5(4(3(0(4(1(3(5(4(x1)))))))))) 0(5(0(0(x1)))) -> 2(3(0(3(5(2(2(3(4(1(x1)))))))))) 0(5(2(0(3(2(2(x1))))))) -> 2(1(2(4(3(5(2(2(2(2(x1)))))))))) 0(5(2(0(4(3(0(x1))))))) -> 1(1(1(2(4(3(3(4(5(4(x1)))))))))) 1(0(3(2(1(3(2(x1))))))) -> 1(1(1(1(5(5(3(5(1(5(x1)))))))))) 1(3(2(2(5(2(x1)))))) -> 1(3(5(2(4(5(2(3(4(4(x1)))))))))) 1(5(2(5(3(1(x1)))))) -> 2(5(4(1(1(0(2(5(3(2(x1)))))))))) 2(0(1(4(5(2(0(x1))))))) -> 2(2(1(0(0(0(3(3(4(4(x1)))))))))) 2(1(5(5(0(1(1(x1))))))) -> 0(1(2(3(4(4(3(3(4(0(x1)))))))))) 2(2(4(5(2(5(x1)))))) -> 2(2(4(3(5(4(5(5(2(5(x1)))))))))) 2(3(3(2(4(x1))))) -> 2(1(2(5(0(1(0(5(5(4(x1)))))))))) 2(4(0(2(0(0(x1)))))) -> 2(0(0(2(5(4(1(1(2(1(x1)))))))))) 2(4(1(3(0(5(2(x1))))))) -> 2(4(4(1(5(3(4(4(4(0(x1)))))))))) 2(4(4(3(1(0(0(x1))))))) -> 2(4(2(1(3(5(4(4(0(1(x1)))))))))) 2(4(5(2(5(4(x1)))))) -> 2(4(1(0(0(4(4(3(5(4(x1)))))))))) 3(1(0(0(x1)))) -> 3(5(5(3(5(0(0(0(0(0(x1)))))))))) 3(1(4(2(3(0(0(x1))))))) -> 1(0(3(4(3(3(4(2(4(1(x1)))))))))) 3(1(5(1(3(2(x1)))))) -> 1(1(5(3(5(1(2(4(1(5(x1)))))))))) 3(2(0(3(0(0(x1)))))) -> 3(4(1(3(4(0(2(0(4(1(x1)))))))))) 3(2(1(4(2(1(4(x1))))))) -> 3(5(4(2(3(0(1(1(5(5(x1)))))))))) 3(2(2(2(2(4(2(x1))))))) -> 3(1(3(0(1(1(4(2(1(0(x1)))))))))) 3(2(5(0(0(3(0(x1))))))) -> 4(3(4(1(2(2(0(2(5(4(x1)))))))))) 3(3(0(x1))) -> 3(0(2(1(0(0(1(2(1(0(x1)))))))))) 3(3(5(2(2(5(2(x1))))))) -> 3(0(1(0(5(1(5(5(4(2(x1)))))))))) 4(0(3(0(0(x1))))) -> 4(3(5(2(4(1(2(1(2(0(x1)))))))))) 4(2(1(5(1(5(0(x1))))))) -> 4(4(5(4(0(2(3(4(5(0(x1)))))))))) 4(5(2(3(1(2(x1)))))) -> 4(4(4(0(1(2(4(2(0(2(x1)))))))))) 4(5(2(5(2(x1))))) -> 5(2(1(1(1(0(2(5(0(2(x1)))))))))) 4(5(2(5(3(2(x1)))))) -> 4(1(3(4(3(2(4(4(0(2(x1)))))))))) 5(0(0(3(1(5(0(x1))))))) -> 4(0(0(4(0(5(4(4(1(0(x1)))))))))) 5(0(0(4(4(5(0(x1))))))) -> 4(2(1(1(3(4(4(0(5(0(x1)))))))))) 5(0(3(0(5(0(1(x1))))))) -> 5(1(3(3(4(5(3(0(4(1(x1)))))))))) 5(0(3(2(0(5(0(x1))))))) -> 5(1(2(4(0(0(1(5(1(0(x1)))))))))) 5(0(3(3(2(2(0(x1))))))) -> 4(2(2(2(2(5(3(5(1(0(x1)))))))))) 5(0(5(2(5(2(x1)))))) -> 5(4(2(4(4(3(4(5(0(0(x1)))))))))) 5(1(4(2(0(5(2(x1))))))) -> 4(0(5(1(0(4(4(0(4(2(x1)))))))))) 5(1(5(x1))) -> 4(4(1(0(0(3(4(1(0(2(x1)))))))))) 5(2(5(2(2(5(x1)))))) -> 4(4(5(5(1(0(5(2(1(2(x1)))))))))) 5(3(3(2(1(5(5(x1))))))) -> 1(3(5(0(2(1(2(0(2(3(x1)))))))))) 5(5(0(3(2(0(3(x1))))))) -> 0(4(4(0(2(5(4(1(0(3(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) -> 10 0_1(2) -> 1 0_1(2) -> 10 0_1(2) -> 42 0_1(2) -> 55 0_1(2) -> 83 0_1(2) -> 96 0_1(2) -> 120 0_1(2) -> 267 0_1(7) -> 6 0_1(9) -> 228 0_1(10) -> 120 0_1(11) -> 3 0_1(17) -> 302 0_1(18) -> 10 0_1(22) -> 21 0_1(26) -> 137 0_1(28) -> 27 0_1(33) -> 137 0_1(34) -> 108 0_1(42) -> 203 0_1(43) -> 10 0_1(44) -> 10 0_1(65) -> 64 0_1(70) -> 69 0_1(71) -> 70 0_1(72) -> 71 0_1(83) -> 88 0_1(87) -> 86 0_1(89) -> 88 0_1(90) -> 18 0_1(91) -> 90 0_1(103) -> 10 0_1(110) -> 109 0_1(111) -> 110 0_1(118) -> 117 0_1(119) -> 118 0_1(120) -> 119 0_1(121) -> 43 0_1(136) -> 135 0_1(141) -> 140 0_1(145) -> 144 0_1(156) -> 155 0_1(157) -> 113 0_1(160) -> 159 0_1(161) -> 160 0_1(181) -> 180 0_1(185) -> 253 0_1(195) -> 194 0_1(199) -> 198 0_1(204) -> 203 0_1(205) -> 10 0_1(209) -> 208 0_1(217) -> 150 0_1(218) -> 217 0_1(220) -> 219 0_1(223) -> 10 0_1(236) -> 235 0_1(237) -> 236 0_1(251) -> 250 0_1(255) -> 254 0_1(256) -> 255 0_1(288) -> 287 0_1(291) -> 57 0_1(295) -> 294 0_1(298) -> 297 0_2(2) -> 170 0_2(28) -> 179 0_2(157) -> 170 0_2(163) -> 162 0_2(166) -> 165 0_2(167) -> 166 0_2(172) -> 171 0_2(175) -> 174 0_2(176) -> 175 0_2(262) -> 261 0_2(263) -> 262 0_2(267) -> 266 0_2(271) -> 270 0_2(272) -> 271 0_2(276) -> 275 0_2(280) -> 279 0_2(281) -> 280 0_2(285) -> 284 0_2(305) -> 304 1_0(1) -> 1 1_1(1) -> 34 1_1(2) -> 34 1_1(8) -> 7 1_1(10) -> 149 1_1(14) -> 13 1_1(16) -> 15 1_1(18) -> 149 1_1(24) -> 23 1_1(35) -> 18 1_1(42) -> 290 1_1(43) -> 1 1_1(43) -> 10 1_1(43) -> 17 1_1(43) -> 34 1_1(43) -> 55 1_1(43) -> 149 1_1(43) -> 301 1_1(44) -> 43 1_1(45) -> 44 1_1(50) -> 45 1_1(55) -> 54 1_1(63) -> 20 1_1(64) -> 63 1_1(69) -> 68 1_1(73) -> 2 1_1(83) -> 142 1_1(88) -> 87 1_1(91) -> 34 1_1(95) -> 94 1_1(96) -> 95 1_1(99) -> 98 1_1(104) -> 103 1_1(109) -> 97 1_1(113) -> 149 1_1(130) -> 129 1_1(133) -> 132 1_1(142) -> 141 1_1(143) -> 113 1_1(146) -> 145 1_1(147) -> 146 1_1(148) -> 161 1_1(153) -> 152 1_1(159) -> 158 1_1(180) -> 157 1_1(183) -> 182 1_1(189) -> 188 1_1(191) -> 190 1_1(200) -> 199 1_1(203) -> 258 1_1(206) -> 205 1_1(207) -> 206 1_1(208) -> 207 1_1(211) -> 150 1_1(224) -> 223 1_1(225) -> 224 1_1(229) -> 204 1_1(238) -> 237 1_1(250) -> 249 1_1(254) -> 192 1_1(287) -> 286 1_1(293) -> 292 1_1(302) -> 301 1_2(2) -> 311 1_2(90) -> 311 1_2(121) -> 311 1_2(162) -> 169 1_2(165) -> 164 1_2(168) -> 167 1_2(170) -> 169 1_2(174) -> 173 1_2(177) -> 176 1_2(179) -> 178 1_2(261) -> 260 1_2(266) -> 265 1_2(270) -> 269 1_2(275) -> 274 1_2(279) -> 278 1_2(284) -> 283 2_0(1) -> 1 2_1(1) -> 42 2_1(3) -> 2 2_1(9) -> 8 2_1(10) -> 191 2_1(13) -> 12 2_1(15) -> 14 2_1(17) -> 295 2_1(18) -> 1 2_1(18) -> 10 2_1(18) -> 34 2_1(18) -> 41 2_1(18) -> 42 2_1(18) -> 54 2_1(18) -> 126 2_1(18) -> 191 2_1(18) -> 203 2_1(18) -> 228 2_1(18) -> 266 2_1(18) -> 267 2_1(18) -> 295 2_1(19) -> 42 2_1(25) -> 156 2_1(31) -> 30 2_1(32) -> 31 2_1(33) -> 126 2_1(34) -> 96 2_1(36) -> 35 2_1(40) -> 39 2_1(41) -> 40 2_1(42) -> 41 2_1(43) -> 42 2_1(46) -> 45 2_1(55) -> 85 2_1(58) -> 57 2_1(61) -> 60 2_1(66) -> 65 2_1(68) -> 18 2_1(74) -> 73 2_1(92) -> 91 2_1(103) -> 97 2_1(131) -> 130 2_1(137) -> 136 2_1(139) -> 138 2_1(143) -> 42 2_1(149) -> 148 2_1(154) -> 153 2_1(155) -> 154 2_1(158) -> 157 2_1(187) -> 186 2_1(190) -> 189 2_1(196) -> 195 2_1(201) -> 200 2_1(203) -> 202 2_1(204) -> 42 2_1(205) -> 204 2_1(210) -> 209 2_1(215) -> 214 2_1(223) -> 150 2_1(234) -> 229 2_1(239) -> 223 2_1(240) -> 239 2_1(241) -> 240 2_1(244) -> 243 2_1(290) -> 289 2_1(292) -> 291 2_1(294) -> 293 2_1(299) -> 298 2_2(1) -> 267 2_2(18) -> 267 2_2(19) -> 276 2_2(114) -> 276 2_2(150) -> 267 2_2(164) -> 163 2_2(169) -> 168 2_2(173) -> 172 2_2(178) -> 177 2_2(184) -> 285 2_2(204) -> 267 2_2(303) -> 228 2_2(308) -> 307 2_2(309) -> 308 3_0(1) -> 1 3_1(1) -> 17 3_1(5) -> 4 3_1(17) -> 16 3_1(18) -> 24 3_1(19) -> 17 3_1(21) -> 20 3_1(25) -> 24 3_1(27) -> 18 3_1(29) -> 28 3_1(33) -> 32 3_1(38) -> 37 3_1(42) -> 67 3_1(48) -> 47 3_1(49) -> 48 3_1(53) -> 52 3_1(56) -> 43 3_1(61) -> 72 3_1(62) -> 61 3_1(75) -> 74 3_1(78) -> 77 3_1(79) -> 78 3_1(81) -> 80 3_1(101) -> 100 3_1(105) -> 104 3_1(113) -> 1 3_1(113) -> 16 3_1(113) -> 17 3_1(113) -> 67 3_1(116) -> 115 3_1(122) -> 121 3_1(124) -> 123 3_1(125) -> 124 3_1(128) -> 127 3_1(134) -> 133 3_1(137) -> 233 3_1(140) -> 139 3_1(144) -> 143 3_1(151) -> 150 3_1(184) -> 24 3_1(197) -> 196 3_1(204) -> 17 3_1(212) -> 211 3_1(214) -> 213 3_1(226) -> 225 3_1(230) -> 229 3_1(231) -> 230 3_1(238) -> 242 3_1(247) -> 246 3_1(257) -> 256 3_2(162) -> 16 3_2(162) -> 17 3_2(171) -> 24 3_2(264) -> 263 3_2(273) -> 272 3_2(282) -> 281 3_2(304) -> 303 3_2(306) -> 305 3_2(310) -> 309 4_0(1) -> 1 4_1(1) -> 26 4_1(2) -> 26 4_1(6) -> 5 4_1(9) -> 197 4_1(10) -> 79 4_1(12) -> 11 4_1(17) -> 112 4_1(18) -> 26 4_1(20) -> 19 4_1(23) -> 22 4_1(24) -> 112 4_1(25) -> 49 4_1(26) -> 62 4_1(34) -> 33 4_1(37) -> 36 4_1(42) -> 185 4_1(47) -> 46 4_1(54) -> 131 4_1(59) -> 58 4_1(76) -> 75 4_1(77) -> 76 4_1(79) -> 102 4_1(80) -> 68 4_1(83) -> 82 4_1(90) -> 26 4_1(94) -> 93 4_1(97) -> 18 4_1(98) -> 97 4_1(102) -> 101 4_1(107) -> 106 4_1(108) -> 107 4_1(112) -> 111 4_1(123) -> 122 4_1(126) -> 125 4_1(132) -> 113 4_1(135) -> 134 4_1(138) -> 114 4_1(148) -> 147 4_1(149) -> 222 4_1(150) -> 1 4_1(150) -> 9 4_1(150) -> 17 4_1(150) -> 26 4_1(150) -> 55 4_1(150) -> 67 4_1(150) -> 79 4_1(150) -> 84 4_1(150) -> 185 4_1(150) -> 248 4_1(152) -> 151 4_1(157) -> 26 4_1(188) -> 187 4_1(192) -> 150 4_1(194) -> 193 4_1(198) -> 192 4_1(202) -> 201 4_1(203) -> 216 4_1(204) -> 185 4_1(205) -> 26 4_1(213) -> 212 4_1(216) -> 215 4_1(219) -> 218 4_1(222) -> 221 4_1(227) -> 226 4_1(228) -> 227 4_1(232) -> 231 4_1(235) -> 234 4_1(243) -> 204 4_1(245) -> 244 4_1(246) -> 245 4_1(248) -> 247 4_1(252) -> 251 4_1(253) -> 252 4_1(258) -> 257 4_1(296) -> 2 4_1(297) -> 296 4_1(301) -> 300 4_2(259) -> 53 4_2(260) -> 259 4_2(265) -> 264 4_2(268) -> 238 4_2(269) -> 268 4_2(274) -> 273 4_2(277) -> 181 4_2(278) -> 277 4_2(283) -> 282 4_2(311) -> 310 5_0(1) -> 1 5_1(1) -> 55 5_1(4) -> 3 5_1(10) -> 9 5_1(18) -> 55 5_1(19) -> 18 5_1(25) -> 89 5_1(26) -> 25 5_1(30) -> 29 5_1(39) -> 38 5_1(40) -> 38 5_1(51) -> 50 5_1(52) -> 51 5_1(54) -> 53 5_1(55) -> 83 5_1(57) -> 56 5_1(60) -> 59 5_1(67) -> 66 5_1(82) -> 81 5_1(84) -> 83 5_1(85) -> 84 5_1(86) -> 36 5_1(93) -> 92 5_1(100) -> 99 5_1(106) -> 105 5_1(114) -> 113 5_1(115) -> 114 5_1(117) -> 116 5_1(120) -> 248 5_1(127) -> 44 5_1(129) -> 128 5_1(149) -> 238 5_1(150) -> 55 5_1(182) -> 181 5_1(184) -> 183 5_1(185) -> 184 5_1(186) -> 151 5_1(193) -> 192 5_1(203) -> 210 5_1(204) -> 1 5_1(204) -> 9 5_1(204) -> 26 5_1(204) -> 55 5_1(221) -> 220 5_1(233) -> 232 5_1(242) -> 241 5_1(249) -> 217 5_1(286) -> 193 5_1(289) -> 288 5_1(300) -> 299 5_2(307) -> 306 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: 0(0(2(2(5(0(x1)))))) -> 0(2(5(3(4(0(1(2(5(0(x1)))))))))) 0(0(5(2(4(2(5(x1))))))) -> 0(2(0(4(2(1(2(1(3(3(x1)))))))))) 0(2(2(5(5(x1))))) -> 2(5(4(3(0(4(1(3(5(4(x1)))))))))) 0(5(0(0(x1)))) -> 2(3(0(3(5(2(2(3(4(1(x1)))))))))) 0(5(2(0(3(2(2(x1))))))) -> 2(1(2(4(3(5(2(2(2(2(x1)))))))))) 0(5(2(0(4(3(0(x1))))))) -> 1(1(1(2(4(3(3(4(5(4(x1)))))))))) 1(0(3(2(1(3(2(x1))))))) -> 1(1(1(1(5(5(3(5(1(5(x1)))))))))) 1(3(2(2(5(2(x1)))))) -> 1(3(5(2(4(5(2(3(4(4(x1)))))))))) 1(5(2(5(3(1(x1)))))) -> 2(5(4(1(1(0(2(5(3(2(x1)))))))))) 2(0(1(4(5(2(0(x1))))))) -> 2(2(1(0(0(0(3(3(4(4(x1)))))))))) 2(1(5(5(0(1(1(x1))))))) -> 0(1(2(3(4(4(3(3(4(0(x1)))))))))) 2(2(4(5(2(5(x1)))))) -> 2(2(4(3(5(4(5(5(2(5(x1)))))))))) 2(3(3(2(4(x1))))) -> 2(1(2(5(0(1(0(5(5(4(x1)))))))))) 2(4(0(2(0(0(x1)))))) -> 2(0(0(2(5(4(1(1(2(1(x1)))))))))) 2(4(1(3(0(5(2(x1))))))) -> 2(4(4(1(5(3(4(4(4(0(x1)))))))))) 2(4(4(3(1(0(0(x1))))))) -> 2(4(2(1(3(5(4(4(0(1(x1)))))))))) 2(4(5(2(5(4(x1)))))) -> 2(4(1(0(0(4(4(3(5(4(x1)))))))))) 3(1(0(0(x1)))) -> 3(5(5(3(5(0(0(0(0(0(x1)))))))))) 3(1(4(2(3(0(0(x1))))))) -> 1(0(3(4(3(3(4(2(4(1(x1)))))))))) 3(1(5(1(3(2(x1)))))) -> 1(1(5(3(5(1(2(4(1(5(x1)))))))))) 3(2(0(3(0(0(x1)))))) -> 3(4(1(3(4(0(2(0(4(1(x1)))))))))) 3(2(1(4(2(1(4(x1))))))) -> 3(5(4(2(3(0(1(1(5(5(x1)))))))))) 3(2(2(2(2(4(2(x1))))))) -> 3(1(3(0(1(1(4(2(1(0(x1)))))))))) 3(2(5(0(0(3(0(x1))))))) -> 4(3(4(1(2(2(0(2(5(4(x1)))))))))) 3(3(0(x1))) -> 3(0(2(1(0(0(1(2(1(0(x1)))))))))) 3(3(5(2(2(5(2(x1))))))) -> 3(0(1(0(5(1(5(5(4(2(x1)))))))))) 4(0(3(0(0(x1))))) -> 4(3(5(2(4(1(2(1(2(0(x1)))))))))) 4(2(1(5(1(5(0(x1))))))) -> 4(4(5(4(0(2(3(4(5(0(x1)))))))))) 4(5(2(3(1(2(x1)))))) -> 4(4(4(0(1(2(4(2(0(2(x1)))))))))) 4(5(2(5(2(x1))))) -> 5(2(1(1(1(0(2(5(0(2(x1)))))))))) 4(5(2(5(3(2(x1)))))) -> 4(1(3(4(3(2(4(4(0(2(x1)))))))))) 5(0(0(3(1(5(0(x1))))))) -> 4(0(0(4(0(5(4(4(1(0(x1)))))))))) 5(0(0(4(4(5(0(x1))))))) -> 4(2(1(1(3(4(4(0(5(0(x1)))))))))) 5(0(3(0(5(0(1(x1))))))) -> 5(1(3(3(4(5(3(0(4(1(x1)))))))))) 5(0(3(2(0(5(0(x1))))))) -> 5(1(2(4(0(0(1(5(1(0(x1)))))))))) 5(0(3(3(2(2(0(x1))))))) -> 4(2(2(2(2(5(3(5(1(0(x1)))))))))) 5(0(5(2(5(2(x1)))))) -> 5(4(2(4(4(3(4(5(0(0(x1)))))))))) 5(1(4(2(0(5(2(x1))))))) -> 4(0(5(1(0(4(4(0(4(2(x1)))))))))) 5(1(5(x1))) -> 4(4(1(0(0(3(4(1(0(2(x1)))))))))) 5(2(5(2(2(5(x1)))))) -> 4(4(5(5(1(0(5(2(1(2(x1)))))))))) 5(3(3(2(1(5(5(x1))))))) -> 1(3(5(0(2(1(2(0(2(3(x1)))))))))) 5(5(0(3(2(0(3(x1))))))) -> 0(4(4(0(2(5(4(1(0(3(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))