PB'16 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 benchmarkOPT
Best value of the objective obtained on this benchmark16
Best CPU time to get the best result obtained on this benchmark0.042992
Has Objective FunctionYES
(Un)Satisfiability was provedYES
Best value of the objective function 16
Optimality of the best value was proved YES
Number of variables3312
Total number of constraints8904
Number of constraints which are clauses6510
Number of constraints which are cardinality constraints (but not clauses)2394
Number of constraints which are nor clauses,nor cardinality constraints0
Minimum length of a constraint1
Maximum length of a constraint80
Number of terms in the objective function 80
Biggest coefficient in the objective function 1
Number of bits for the biggest coefficient in the objective function 1
Sum of the numbers in the objective function 80
Number of bits of the sum of numbers in the objective function 7
Biggest number in a constraint 78
Number of bits of the biggest number in a constraint 7
Biggest sum of numbers in a constraint 158
Number of bits of the biggest sum of numbers8
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
Open-WBO PB16 (complete)4102006OPT16 0.042992 0.043627
Open-WBO-LSU PB16 (complete)4102004OPT16 0.046992 0.0477671
NaPS 1.02 (complete)4102003OPT16 0.105983 0.107339
minisatp 2012-10-02 git-d91742b (complete)4114794OPT16 0.114982 0.115694
cdcl-cuttingplanes OPT linear search 2016-05-01 (complete)4102008OPT16 0.13098 0.135086
cdcl-cuttingplanes OPT binary search 2016-05-01 (complete)4102007OPT16 0.181972 0.184085
toysat 2016-05-02 (complete)4102001OPT16 0.616905 0.6218
Sat4j PB 2.3.6 Resolution PB16 (complete)4102005OPT16 1.50677 0.76126
Sat4j PB 2.3.6 Res+CP PB16 (complete)4102002OPT16 3.59 5.01388

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: 16
Solution found:
-x3161 -x3162 -x3173 x3184 -x3195 -x3206 -x3217 -x3228 -x3239 -x3240 -x3163 -x3164 -x3165 -x3166 -x3167 -x3168 -x3169 -x3170 -x3171 x3172
-x3174 -x3175 -x3176 -x3177 -x3178 -x3179 -x3180 -x3181 -x3182 -x3183 -x3185 -x3186 -x3187 -x3188 -x3189 -x3190 -x3191 -x3192 -x3193 -x3194
-x3196 -x3197 -x3198 -x3199 -x3200 -x3201 -x3202 -x3203 -x3204 -x3205 -x3207 -x3208 -x3209 -x3210 x3211 x3212 x3213 x3214 -x3215 -x3216
-x3218 -x3219 x3220 -x3221 -x3222 x3223 -x3224 x3225 x3226 -x3227 -x3229 -x3230 -x3231 x3232 x3233 -x3234 x3235 x3236 x3237 x3238 x1 x34
x3274 x48 x1382 x1383 x1903 x1904 x2323 x2324 x2643 x2644 x2862 x2863 x2980 x2981 x3052 x3053 x3123 x3124 x111 x112 x179 x180 x3283 x2321
x246 x247 x312 x313 x377 x378 x441 x442 x504 x505 x566 x567 x627 x628 x687 x688 x824 x825 x882 x883 x939 x940 x995 x996 x1050 x1051 x1104
x1105 x1157 x1158 x1209 x1210 x1260 x1261 x1310 x1311 x1436 x1437 x1484 x1485 x3284 x1531 x1532 x1577 x1578 x1622 x1623 x1666 x1667 x1709
x1710 -x1751 x1752 x1792 x1793 x1832 x1833 x1947 x1948 x1985 x1986 x2024 x2060 x2025 x2061 x2026 x2062 x2027 x2063 x2028 x2064 x2029 x2065
x2030 x2066 x2031 x2067 -x2032 x2068 x2033 x2069 x2034 x2070 x2035 x2071 x2036 -x2072 x2037 x2073 x2038 x2074 x2039 x2075 x2040 x2076 x2041
x2077 x2042 x2078 x2043 x2079 -x3282 x2322 x2044 x2080 x2045 x2081 x2046 x2082 x2047 x2083 x2048 x2084 x2049 x2085 x2050 x2086 x2051 x2087
x2052 x2088 x2053 x2089 -x3259 x2054 x2090 x2055 x2091 x2056 x2092 x2057 x2093 x2058 x2094 x2059 x2095 x39 x40 x762 x763 x1384 x1385 x1905
x1906 x2325 x2326 x2645 x2646 x2864 x2865 x2982 x2983 x3054 x3055 x3125 x3126 x113 x114 x181 x182 x248 x249 x314 x315 x379 x380 x443 x444
x506 x507 x568 x569 x629 x630 x689 x690 x826 x827 x884 x885 x941 x942 x997 x998 x1052 x1053 x1106 x1107 -x1159 x1160 x1211 -x1212 x1262
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x2213 x2182 x2214 x2183 x2215 x2184 x2216 x2185 x2217 x2186 x2218 x2187 x2219 x2188 x2220 x2189 x2221 x2190 x2222 x2191 x2223 x2192 x2224
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x2283 x2254 x2284 x2255 x2285 x2256 x2286 x2257 x2287 x2258 x2288 x2259 x2289 x2260 x2290 x46 x47 x769 x770 x1391 x1392 x1912 x1913 x2332
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x2405 x2378 x2406 x2379 x2407 x2380 x2408 x2381 x2409 x2382 -x2410 x2383 x2411 x2384 x2412 x2385 x2413 x2386 x2414 -x3266 x2387 x2415 x2388
x2416 x2389 x2417 x2390 x2418 x2391 x2419 x2392 x2420 x2393 x2421 x2394 x2422 x771 x772 x1393 x1394 x1914 x1915 x2334 x2335 x2653 x2654
x2872 x2873 x2990 x2991 x3062 x3063 x3133 x3134 x121 x122 x189 x190 x51 -x3267 x256 x257 x322 x323 x387 x388 x451 x452 x514 x515 x576 x577
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x1447 x1494 x1495 -x3268 x1541 x1542 x1587 x1588 x1632 x1633 x1676 x1677 x1719 x1720 x1761 x1762 x1802 x1803 x1842 x1843 x1957 x1958 x1995
x1996 x3269 x2424 x2450 x2425 x2451 x2426 x2452 x2427 x2453 x2428 x2454 x2429 x2455 x2430 x2456 x2431 x2457 x2432 x2458 x2433 x2459 x2434
x2460 x2435 x2461 x2436 x2462 x2437 x2463 x2438 x2464 x2439 x2465 -x2440 x2466 x2441 x2467 x2442 x2468 x2443 x2469 x2444 x2470 x2445 x2471
x2446 x2472 x2447 -x2473 x2448 x2474 x2449 x2475 x773 x774 x1395 x1396 x1916 x1917 -x3270 x2336 x2337 x2655 x2656 x2874 x2875 x2992 x2993
-x3064 x3065 x3135 x3136 x123 x124 x191 x192 x258 x259 x324 x325 x3271 x389 x390 x453 x454 x516 x517 x578 x579 x639 x640 x699 x700 x836 x837
x894 x895 x951 x952 x1007 x1008 x1062 x1063 x1116 x1117 x1169 x1170 x1221 x1222 x1272 x1273 x1322 x1323 x1448 x1449 x1496 x1497 x1543 x1544
x1589 x1590 x52 x1634 x1635 x1678 x1679 x1721 x1722 x1763 x1764 x1804 x1805 x1844 x1845 x1959 x1960 x1997 x1998 x3272 x2477 x2501 x2478
x2502 x2479 x2503 x2480 x2504 x2481 x2505 x2482 x2506 x2483 x2507 x2484 x2508 x2485 x2509 x2486 x2510 x3273 x2487 x2511 x2488 x2512 x2489
x2513 x2490 x2514 x2491 x2515 x2492 x2516 x2493 x2517 x2494 x2518 x2495 x2519 x2496 x2520 x2497 x2521 x2498 x2522 x2499 x2523 x2500 x2524
x53 x775 -x776 x1397 x1398 x1918 x1919 x2338 x2339 -x2657 x2658 x2876 x2877 x2994 x2995 x3066 x3067 x3137 x3138 x125 x126 x193 -x194 x260
x261 x326 x327 x391 x392 x455 x456 x518 x519 x580 x581 x641 x642 x701 x702 x838 x839 x896 x897 x953 x954 x1009 x1010 x1064 x1065 x1118 x1119
x1171 x1172 x1223 -x1224 x1274 x1275 x1324 x1325 x1450 x1451 x1498 x1499 x1545 x1546 x1591 -x1592 x1636 x1637 x1680 x1681 x1723 x1724 x1765
x1766 x1806 x1807 x1846 x1847 x1961 x1962 x1999 x2000 x2526 x2548 x2527 x2549 x2528 x2550 x2529 x2551 x2530 x2552 x2531 x2553 x2532 x2554
x2533 x2555 x2534 x2556 x2535 x2557 x2536 x2558 x2537 x2559 x2538 x2560 x2539 x2561 x2540 x2562 x2541 x2563 x2542 x2564 x2543 x2565 x2544
x2566 x2545 x2567 x3275 x2546 x2568 x2547 x2569 x54 x55 x777 x778 x1399 x1400 x1920 x1921 x2340 x2341 x2659 x2660 -x2878 x2879 x2996 -x2997
x3068 x3069 x3139 x3140 x127 x128 x195 x196 x262 x263 x328 x329 x393 x394 x457 x458 x520 x521 x582 x583 x3276 x643 x644 x703 x704 x840 x841
x898 x899 x955 x956 x1011 x1012 x1066 x1067 x1120 x1121 x1173 x1174 x1225 x1226 x1276 x1277 x1326 x1327 x1452 x1453 x1500 x1501 x1547 x1548
x1593 x1594 x1638 x1639 x1682 x1683 x1725 x1726 x1767 x1768 x1808 x1809 x1848 x1849 x1963 x1964 x2001 x2002 -x3277 x2571 x2591 x2572 x2592
-x2573 x2593 x2574 x2594 x2575 -x2595 x2576 x2596 x2577 x2597 x2578 x2598 x2579 x2599 x2580 x2600 x2581 x2601 x2582 x2602 x2583 x2603 x2584
x2604 x2585 x2605 x2586 x2606 x2587 x2607 x2588 x2608 x2589 x2609 x2590 x2610 x57 x58 x780 x781 x1402 x1403 x1923 x1924 x2343 x2344 x2662
x2663 x2880 x2881 x2998 x2999 x3070 x3071 x3141 x3142 -x3278 x129 x130 x197 x198 x264 x265 x330 x331 x395 x396 x459 x460 x522 x523 x584 x585
x645 x646 x705 x706 x842 x843 x900 x901 x957 x958 x1013 x1014 x1068 x1069 x1122 x1123 x1175 x1176 x1227 x1228 -x1278 x1279 x1328 -x1329
x1454 x1455 x1502 x1503 -x1549 x1550 x1595 x1596 x1640 x1641 x1684 x1685 x1727 x1728 x1769 x1770 x1810 x1811 x1850 x1851 x1965 x1966 x2003
x2004 x2686 x2704 x2687 x2705 x2688 x2706 x2689 x2707 x2690 x2708 x2691 x2709 x2692 x2710 x2693 x2711 x2694 -x2712 x2695 x2713 x3279 -x2696
x2714 x2697 x2715 x2698 x2716 x2699 x2717 x2700 x2718 x2701 x2719 x2702 x2720 x2703 x2721 x59 x60 x782 x783 x1404 x1405 x1925 x1926 x2345
x2346 x2664 x2665 -x2882 x2883 x3000 -x3001 x3072 x3073 x3143 x3144 x131 x132 x199 x200 x266 x267 x332 x333 x397 x398 x461 x462 x524 x525
x586 x587 x647 x648 x707 x708 x844 x845 x902 x903 -x3280 x959 x960 x1015 x1016 x1070 x1071 x1124 x1125 x1177 x1178 x1229 x1230 x1280 x1281
x1330 x1331 x1456 x1457 x1504 x1505 x3281 x1551 x1552 x1597 x1598 x1642 x1643 x1686 x1687 x1729 x1730 x1771 x1772 x1812 x1813 x1852 x1853
x1967 x1968 x2005 x2006 x2723 x2739 x2724 x2740 x2725 x2741 x2726 x2742 x2727 x2743 x2728 x2744 x2729 -x2745 x2730 x2746 x2731 x2747 x2732
x2748 x2733 x2749 x2734 x2750 x2735 x2751 x2736 x2752 x2737 x2753 x2738 x2754 -x61 x62 x784 x785 x1406 x1407 x1927 x1928 x2347 x2348 x2666
x2667 x2884 x2885 -x3002 x3003 x3074 x3075 -x3145 x3146 -x133 x134 x201 x202 x268 x269 x334 x335 x399 x400 x463 x464 -x526 x527 -x588 x589
x649 x650 x709 x710 -x846 x847 x904 -x905 x961 x962 x1017 x1018 -x1072 x1073 x1126 -x1127 x1179 x1180 x1231 x1232 x1282 x1283 -x1332 x1333
x1458 x1459 x1506 x1507 x1553 x1554 x1599 x1600 x1644 x1645 x1688 x1689 x1731 x1732 x1773 x1774 x1814 x1815 x1854 x1855 x1969 x1970 x2007
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x2780 x2767 x2781 x2768 x2782 x2769 x2783 x63 x64 x786 x787 x1408 x1409 x1929 x1930 x2349 x2350 x2668 x2669 x2886 x2887 x3004 x3005 x3076
x3077 x3147 x3148 x135 x136 x203 x204 x270 x271 x336 x337 -x401 x402 x465 x466 x528 x529 x590 x591 x651 x652 x711 x712 x848 x849 x906 x907
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x1602 x1646 x1647 x1690 x1691 x1733 x1734 x1775 x1776 x1816 x1817 x1856 x1857 x1971 x1972 x2009 x2010 -x3286 x45 x2785 x2797 x2786 x2798
x2787 x2799 x2788 x2800 x2789 x2801 x2790 x2802 -x2791 x2803 x2792 x2804 x2793 x2805 x2794 x2806 x2795 x2807 x2796 x2808 x65 x66 x788 x789
x1410 x1411 x1931 x1932 x2351 x2352 x2670 x2671 x2888 x2889 x3006 x3007 x3078 x3079 x3149 x3150 x137 x138 x205 x206 x272 x273 x338 x339 x403
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-x3311 -x3312 x2621 x2622 x2623 x2624 x2625 x2626 x2627 -x3243 -x3244 x2628 x2629 x2630 x2631 x2632 x2633 -x3247 x2634 -x3248 -x3249 x2635
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x2836 x2837 x2838 x3303 -x3304 x3305 x2839 x2840 -x67 x2841 -x3241 x2842 -x3242 x2843 x2844 x2845 x2846 x2847 -x3245 x2848 -x3246 x2849
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x2969 x2970 x3255 x746 x2971 x2972 x2973 x2974 x2975 x3256 x2976 x2977 x2978 x2979 -x3257 -x3258 x757 x768 x779 x790 x801 x802 x725 -x3008
-x726 -x3009 x727 x728 x729 x3090 x3020 x3021 x3022 x3023 x730 x3024 x3025 x3026 x3027 x3028 x3029 x731 x3030 x3031 x3032 x3033 x3034 x3035
x3036 x732 x3037 x3038 x3039 x3040 x3041 x3042 x733 x3043 x3044 x3045 x3046 x3047 x78 x734 x3048 x3049 x3050 x3051 x736 x737 x738 x739 x740
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