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