PB'11 competition: satisfaction and optimization track: solvers results per benchmarks

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General information on the benchmark

Bench CategoryOPT-SMALLINT (optimisation, small integers)
Best result obtained on this benchmarkSAT
Best value of the objective obtained on this benchmark93
Best CPU time to get the best result obtained on this benchmark1800.2
Has Objective FunctionYES
(Un)Satisfiability was provedYES
Best value of the objective function 91
Optimality of the best value was proved NO
Number of variables1807
Total number of constraints3444
Number of constraints which are clauses1
Number of constraints which are cardinality constraints (but not clauses)0
Number of constraints which are nor clauses,nor cardinality constraints3443
Minimum length of a constraint1
Maximum length of a constraint33
Number of terms in the objective function 8
Biggest coefficient in the objective function 66
Number of bits for the biggest coefficient in the objective function 7
Sum of the numbers in the objective function 193
Number of bits of the sum of numbers in the objective function 8
Biggest number in a constraint 256
Number of bits of the biggest number in a constraint 9
Biggest sum of numbers in a constraint 1320
Number of bits of the biggest sum of numbers11
Number of products (including duplicates)0
Sum of products size (including duplicates)0
Number of different products0
Sum of products size0

Results of the different solvers on this benchmark

Solver NameTraceIDAnswerobjective functionCPU timeWall clock time
pwbo 1.1 (complete)3500481SAT (TO)93 1800.2 900.123
bsolo 3.2 (complete)3463080SAT95 1798.01 1798.05
Sat4j Res//CP 2.3.0 (complete)3454459SAT (TO)96 1800.37 912.954
clasp 2.0-R4191 (complete)3468187SAT (TO)97 1800.05 1800.02
Sat4j Resolution 2.3.0 (complete)3458843SAT (TO)97 1800.14 1797.56
Sat4j CuttingPlanes 2.3.0 (complete)3456651SAT (TO)103 1800.37 1788.61
MinisatID 2.5.2 (fixed) (complete)3490613? (TO)98 1800.06 1800.01
MinisatID 2.4.8 [DEPRECATED] (complete)3464740? (TO)99 1800.07 1800.12
MinisatID 2.5.2-gmp (fixed) (complete)3496880? (TO)106 1800.08 1800.01
MinisatID 2.4.8-gmp [DEPRECATED] (complete)3466567? (TO)109 1800.08 1800.02
SCIP spx 2 2011-06-10 (fixed) (complete)3485450? 1797.21 1797.18
SCIP spx E_2 2011-06-10 (fixed) (complete)3488892? 1797.21 1797.18
borg pb-opt-11.04.03 (complete)3481814? (MO) 95.77 92.973
SCIP spx E SCIP with SoPlex [DEPRECATED] (complete)3450972? (TO) 1800.05 1800.04
wbo 1.6 (complete)3460868? (TO) 1800.1 1800.13
SCIP spx SCIP with SoPlex [DEPRECATED] (complete)3452632? (TO) 1800.22 1800.19

Additionnal information

This section presents information obtained from the best job displayed in the list (i.e. solvers whose names are not hidden).

objective function: 93
Solution found:
x1 x2 -x3 x4 x5 -x6 -x7 x1807 -x77 x78 x79 -x80 -x81 x82 -x83 -x84 -x85 -x86 -x87 -x88 x89 -x90 x1806 x70 -x71 x72 x73 x74 -x75 -x76 -x1805
-x1804 -x1803 -x1802 -x1801 -x63 x64 -x65 -x66 x67 -x68 -x69 -x1800 -x1799 -x1798 -x1797 -x1796 -x1795 -x1794 -x1793 -x1792 -x1791 -x1790
x1789 x1788 -x1787 x56 -x57 -x58 -x59 x60 -x61 -x62 -x1786 -x1785 -x1784 -x1783 -x1782 -x1781 -x1780 -x1779 -x1778 x1777 -x1776 -x1775
-x1774 -x1773 x1772 -x1771 -x1770 x1769 x1768 x1767 -x1766 x1765 -x1764 x1763 x1762 x1761 x1760 x1759 x1758 x1757 -x48 x49 -x50 -x51 x52
-x53 -x54 -x55 -x1756 -x1755 -x1754 -x1753 x1752 -x1751 -x1750 -x1749 -x1748 -x1747 -x1746 -x1745 x1744 -x1743 -x1742 -x1741 -x1740 -x1739
-x1738 -x1737 x1736 x1735 x1734 x1733 x1732 x1731 -x1730 -x1729 -x1728 x1727 x1726 x1725 x1724 x1723 x1722 x1721 x1720 x1719 x1718 x1717
x1716 x1715 -x1714 x1713 x1712 x1711 x1710 x1709 x1708 x1707 x1706 x1705 x1704 x1703 x1702 -x40 -x41 -x42 -x43 x44 -x45 -x46 -x47 -x1701
-x1700 -x1699 -x1698 -x1697 -x1696 -x1695 -x1694 -x1693 -x1692 -x1691 -x1690 -x1689 -x1688 -x1687 x1686 -x1685 -x1684 -x1683 -x1682 -x1681
-x1680 -x1679 x1678 x1677 -x1676 x1675 x1674 x1673 x1672 x1671 x1670 -x1669 -x1668 -x1667 x1666 x1665 -x1664 x1663 x1662 x1661 -x1660 x1659
x1658 x1657 x1656 x1655 x1654 x1653 x1652 -x1651 -x1650 -x1649 x1648 x1647 x1646 x1645 x1644 x1643 x1642 x1641 x1640 x1639 x1638 -x1637
x1636 x1635 x1634 x1633 x1632 -x1631 x1630 -x1629 x1628 x1627 x1626 x1625 x1624 x1623 x1622 x1621 x1620 x1619 x1618 x1617 x1616 x1615 x1614
x1613 x1612 -x1611 x32 x33 -x34 x35 -x36 -x37 -x38 -x39 -x1610 -x1609 -x1608 -x1607 -x1606 -x1605 -x1604 -x1603 -x1602 -x1601 -x1600 -x1599
-x1598 -x1597 -x1596 -x1595 -x1594 -x1593 x1592 -x1591 -x1590 -x1589 -x1588 -x1587 -x1586 -x1585 -x1584 -x1583 -x1582 x1581 x1580 -x1579
x1578 x1577 x1576 x1575 x1574 x1573 -x1572 -x1571 -x1570 -x1569 -x1568 -x1567 x1566 x1565 x1564 -x1563 x1562 x1561 x1560 -x1559 x1558 x1557
x1556 x1555 x1554 x1553 x1552 x1551 -x1550 -x1549 -x1548 x1547 x1546 -x1545 x1544 x1543 x1542 -x1541 x1540 x1539 x1538 x1537 -x1536 x1535
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x1512 -x1511 x1510 x1509 x1508 x1507 -x1506 -x1505 x1504 x1503 x1502 x1501 x1500 -x1499 -x1498 x1497 -x1496 x1495 x1494 x1493 x1492 x1491
x1490 x1489 x1488 x1487 x1486 x1485 -x1484 x1483 x1482 x1481 x1480 x1479 -x1478 x1477 x1476 x1475 x1474 x1473 x1472 -x1471 -x24 -x25 -x26
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-x1369 -x1368 -x1367 -x1366 -x1365 x1364 x1363 x1362 -x1361 x1360 x1359 x1358 -x1357 -x1356 x1355 x1354 x1353 x1352 -x1351 -x1350 x1349
x1348 x1347 x1346 -x1345 -x1344 x1343 x1342 x1341 x1340 -x1339 -x1338 -x1337 -x1336 -x1335 x1334 -x1333 -x1332 x1331 x1330 x1329 -x1328
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x1305 -x1304 -x1303 -x1302 -x1301 -x1300 x1299 x1298 x1297 x1296 x1295 x1294 x1293 x1292 x1291 x1290 x1289 -x1288 x1287 x1286 x1285 x1284
-x1283 -x1282 x1281 x1280 x1279 x1278 x1277 -x1276 -x1275 x1274 x1273 x1272 x1271 x1270 x1269 x1268 -x1267 x8 -x9 -x10 -x11 -x12 -x13 -x14
-x15 -x1266 -x1265 -x1264 -x1263 -x1262 -x1261 -x1260 -x1259 x1258 -x1257 -x1256 -x1255 -x1254 -x1253 -x1252 -x1251 -x1250 -x1249 -x1248
-x1247 -x1246 -x1245 -x1244 -x1243 x1242 x1241 -x1240 -x1239 -x1238 -x1237 -x1236 -x1235 -x1234 -x1233 -x1232 -x1231 -x1230 -x1229 -x1228
-x1227 -x1226 x1225 -x1224 -x1223 x1222 x1221 x1220 x1219 x1218 x1217 -x1216 -x1215 -x1214 -x1213 -x1212 -x1211 x1210 -x1209 -x1208 -x1207
x1206 x1205 x1204 -x1203 x1202 x1201 x1200 -x1199 x1198 x1197 x1196 -x1195 x1194 x1193 x1192 x1191 x1190 x1189 x1188 x1187 -x1186 -x1185
-x1184 -x1183 -x1182 -x1181 x1180 x1179 x1178 -x1177 x1176 x1175 x1174 -x1173 -x1172 x1171 x1170 x1169 -x1168 -x1167 x1166 x1165 x1164 x1163
-x1162 x1161 x1160 x1159 x1158 -x1157 x1156 x1155 x1154 x1153 x1152 -x1151 -x1150 -x1149 -x1148 -x1147 -x1146 x1145 x1144 x1143 -x1142 x1141
x1140 x1139 -x1138 -x1137 x1136 x1135 x1134 x1133 -x1132 -x1131 x1130 x1129 x1128 x1127 -x1126 -x1125 x1124 x1123 x1122 x1121 -x1120 -x1119
x1118 x1117 x1116 x1115 x1114 x1113 -x1112 -x1111 -x1110 x1109 -x1108 -x1107 x1106 x1105 x1104 -x1103 x1102 x1101 x1100 x1099 -x1098 x1097
x1096 x1095 x1094 -x1093 -x1092 x1091 x1090 x1089 x1088 -x1087 -x1086 -x1085 x1084 x1083 x1082 x1081 x1080 -x1079 -x1078 x1077 x1076 x1075
x1074 x1073 x1072 x1071 -x1070 -x1069 -x1068 x1067 x1066 x1065 x1064 x1063 x1062 x1061 x1060 x1059 x1058 x1057 -x1056 x1055 x1054 x1053
x1052 -x1051 -x1050 x1049 x1048 x1047 x1046 x1045 -x1044 -x1043 x1042 x1041 x1040 x1039 x1038 x1037 x1036 -x1035 x1034 x1033 x1032 x1031
x1030 x1029 x1028 x1027 x1026 x1025 x1024 x1023 x1022 x1021 x1020 x1019 x1018 x1017 x1016 x1015 x1014 x1013 x1012 x1011 x1010 x1009 x1008
x1007 x1006 x1005 x1004 x1003 x1002 x1001 x1000 x999 x998 x997 x996 x995 x994 x993 x992 x991 x990 x989 x988 x987 x986 x985 x984 x983 x982
-x16 -x17 -x18 -x19 -x20 -x21 -x22 -x23 -x981 -x980 -x979 -x978 -x977 -x976 -x975 -x974 x973 x972 -x971 -x970 -x969 -x968 -x967 -x966 -x965
-x964 -x963 -x962 -x961 -x960 -x959 -x958 -x957 x956 x955 x954 x953 -x952 -x951 -x950 -x949 -x948 -x947 -x946 -x945 -x944 -x943 -x942 -x941
-x940 -x939 -x938 x937 -x936 -x935 x934 x933 x932 x931 x930 x929 x928 x927 x926 -x925 -x924 -x923 -x922 -x921 -x920 x919 -x918 -x917 -x916
x915 x914 -x913 -x912 x911 x910 x909 -x908 x907 x906 x905 -x904 x903 x902 x901 x900 x899 x898 x897 x896 x895 x894 x893 x892 -x891 -x890
-x889 -x888 -x887 -x886 x885 x884 -x883 -x882 x881 x880 x879 -x878 -x877 x876 x875 x874 -x873 -x872 x871 x870 x869 x868 -x867 x866 x865 x864
x863 -x862 x861 x860 x859 x858 x857 x856 x855 x854 x853 x852 -x851 -x850 -x849 -x848 -x847 -x846 x845 x844 x843 -x842 x841 x840 x839 -x838
-x837 x836 x835 x834 -x833 -x832 -x831 x830 x829 x828 x827 -x826 -x825 x824 x823 x822 x821 -x820 -x819 x818 x817 x816 x815 x814 x813 x812
x811 x810 x809 x808 x807 -x806 -x805 -x804 x803 -x802 -x801 x800 x799 x798 -x797 x796 x795 x794 x793 -x792 x791 x790 x789 x788 -x787 -x786
x785 x784 x783 x782 -x781 -x780 -x779 x778 x777 x776 x775 x774 -x773 -x772 x771 x770 x769 x768 x767 x766 x765 x764 x763 x762 x761 x760 x759
x758 -x757 -x756 -x755 x754 x753 x752 x751 x750 x749 x748 x747 x746 x745 x744 -x743 x742 x741 x740 x739 -x738 -x737 x736 x735 x734 x733 x732
-x731 -x730 x729 x728 x727 x726 x725 x724 -x723 -x722 x721 x720 x719 x718 x717 x716 x715 x714 x713 x712 x711 x710 x709 x708 x707 x706 x705
x704 x703 x702 x701 x700 x699 x698 x697 x696 x695 x694 x693 x692 x691 x690 x689 x688 x687 x686 x685 x684 x683 x682 x681 x680 x679 x678 x677
x676 x675 x674 x673 x672 x671 x670 x669 x668 x667 x666 x665 x664 x663 x662 x661 x660 x659 x658 x657 x656 x655 x654 x653 x652 x651 x650 x649
x648 x647 x646 x645 x644 x643 x642 x641 x640 x639 x638 x637 x636 x635 x634 x633 x632 x631 x630 x629 x628 x627 x626 x625 x624 x623 x622 x621
x620 x619 x618 x617 x616 x615 x614 x613 x612 x611 x610 x609 x608 x607 x606 x605 x604 x603 x602 x601 x600 x599 x598 -x597 -x596 -x595 -x594
-x593 -x592 -x591 -x590 -x589 x588 x587 x586 -x585 -x584 -x583 -x582 -x581 -x580 -x579 -x578 -x577 -x576 -x575 -x574 -x573 -x572 -x571 x570
x569 x568 x567 x566 x565 -x564 -x563 -x562 -x561 -x560 -x559 -x558 -x557 -x556 -x555 -x554 -x553 -x552 -x551 -x550 x549 -x548 -x547 x546
x545 x544 x543 x542 x541 x540 x539 x538 x537 x536 x535 -x534 -x533 -x532 -x531 -x530 -x529 x528 -x527 -x526 -x525 x524 x523 -x522 -x521 x520
x519 x518 -x517 x516 x515 x514 -x513 x512 x511 x510 x509 x508 x507 x506 x505 x504 x503 x502 x501 x500 x499 x498 x497 -x496 -x495 -x494 -x493
-x492 -x491 x490 x489 -x488 -x487 x486 x485 x484 -x483 -x482 x481 x480 x479 -x478 -x477 x476 x475 x474 x473 -x472 x471 x470 x469 x468 -x467
x466 x465 x464 x463 x462 x461 x460 x459 x458 x457 x456 x455 x454 x453 x452 -x451 -x450 -x449 -x448 -x447 -x446 x445 x444 x443 -x442 x441
x440 x439 -x438 -x437 x436 x435 x434 -x433 -x432 -x431 x430 x429 x428 x427 -x426 -x425 x424 x423 x422 x421 -x420 -x419 x418 x417 x416 x415
x414 x413 x412 x411 x410 x409 x408 x407 x406 x405 x404 x403 x402 x401 -x400 -x399 -x398 x397 -x396 -x395 x394 x393 x392 -x391 x390 x389 x388
x387 -x386 x385 x384 x383 x382 -x381 -x380 x379 x378 x377 x376 -x375 -x374 -x373 x372 x371 x370 x369 x368 -x367 -x366 x365 x364 x363 x362
x361 x360 x359 x358 x357 x356 x355 x354 x353 x352 x351 x350 x349 x348 x347 x346 x345 -x344 -x343 -x342 x341 x340 x339 x338 x337 x336 x335
x334 x333 x332 x331 -x330 x329 x328 x327 x326 -x325 -x324 x323 x322 x321 x320 x319 -x318 -x317 x316 x315 x314 x313 x312 x311 -x310 -x309
x308 x307 x306 x305 x304 x303 x302 x301 x300 x299 x298 x297 x296 x295 x294 x293 x292 x291 x290 x289 x288 x287 x286 x285 x284 x283 x282 x281
x280 x279 x278 x277 x276 x275 x274 x273 x272 x271 x270 x269 x268 x267 x266 x265 x264 x263 x262 x261 x260 x259 x258 x257 x256 x255 x254 x253
x252 x251 x250 x249 x248 x247 x246 x245 x244 x243 x242 x241 x240 x239 x238 x237 x236 x235 x234 x233 x232 x231 x230 x229 x228 x227 x226 x225
x224 x223 x222 x221 x220 x219 x218 x217 x216 x215 x214 x213 x212 x211 x210 x209 x208 x207 x206 x205 x204 x203 x202 x201 x200 x199 x198 x197
x196 x195 x194 x193 x192 x191 x190 x189 x188 x187 x186 x185 x184 x183 x182 x181 x180 x179 x178 x177 x176 x175 x174 x173 x172 x171 x170 x169
x168 -x167 x166 x165 x164 x163 x162 x161 x160 x159 x158 x157 x156 x155 x154 x153 x152 x151 x150 x149 x148 x147 x146 x145 x144 x143 x142 x141
x140 x139 x138 x137 x136 x135 x134 x133 x132 x131 x130 x129 x128 x127 x126 x125 x124 x123 x122 x121 x120 x119 x118 x117 x116 x115 x114 x113
x112 x111 x110 x109 x108 x107 x106 x105 x104 x103 x102 x101 x100 x99 x98 x97 x96 x95 x94 x93 x92 x91