family_id stringclasses 23
values | family_name stringclasses 23
values | regime stringclasses 4
values | certificate_type stringclasses 23
values | source_dataset stringclasses 23
values | row_index int64 0 1.19k | row_text stringlengths 3 1.15k |
|---|---|---|---|---|---|---|
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 910 | [1466857705, -5, -5, 2, 0, 1, 0, 2, 6, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 911 | [1964526511, 1, 0, 1, 1, 0, 1, -4, -4, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 912 | [1926256633, 2, 5, -4, 1, 0, -2, 1, 0, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 913 | [1884443748, -3, 0, -3, 1, 1, -4, 2, -4, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 914 | [457002506, 5, 3, 6, 0, 1, -2, -4, -2, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 915 | [447277963, -4, 2, -1, 1, 0, -3, 4, 3, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 916 | [372605027, 2, -3, 3, 0, 0, -2, 2, 4, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 917 | [359885458, 5, -2, 0, 0, 0, 3, 1, 1, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 918 | [1363380362, -6, 6, 1, 0, 1, 1, -1, 3, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 919 | [29083678, 0, 5, 6, 1, 1, -5, 6, 5, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 920 | [1752680947, 5, 6, 3, 1, 1, -6, 4, 1, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 921 | [1069150208, 4, 0, 4, 0, 1, -4, 2, -6, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 922 | [1987892604, -6, 5, -5, 0, 1, 0, 5, -1, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 923 | [1530533886, 5, -2, -1, 1, 0, 4, 0, -2, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 924 | [153168685, -1, 6, 2, 1, 0, 0, 1, 2, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 925 | [903358213, -4, 3, 0, 1, 0, -2, -4, -6, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 926 | [814377392, -3, 0, 0, 0, 0, -5, -2, 3, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 927 | [889385477, 5, 3, -1, 0, 0, -4, 1, 6, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 928 | [1681868317, 5, 5, -4, 1, 0, 3, 0, 5, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 929 | [972761065, 6, 0, 1, 1, 0, 0, 3, 6, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 930 | [1131765825, -1, -6, -5, 0, 0, -2, 2, 5, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 931 | [761868722, -2, 5, -6, 0, 0, 3, 1, -5, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 932 | [1666631131, -6, -2, -5, 1, 0, -6, -6, -4, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 933 | [1763743810, 2, 6, 1, 0, 0, -1, -1, 4, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 934 | [1296053574, 2, 0, -2, 0, 0, -6, 2, 4, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 935 | [1739393244, 5, -2, -2, 0, 1, 6, 5, -2, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 936 | [329627683, -6, -4, -6, 1, 1, -1, 5, -1, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 937 | [1368717182, 1, 3, -4, 1, 1, -5, -6, 0, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 938 | [1659418271, -2, -2, -2, 0, 0, 5, -4, 5, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 939 | [620165520, -6, -1, 0, 1, 0, 2, 1, 0, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 940 | [368249115, -2, 3, 0, 1, 0, 3, -6, -6, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 941 | [404862372, 1, -1, 3, 1, 0, -2, 6, -1, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 942 | [1774191712, -1, -4, 3, 1, 1, 0, 5, -4, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 943 | [1108161174, 3, -2, -2, 0, 0, -2, 1, 2, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 944 | [779988707, -5, -3, 1, 0, 0, 0, -3, -3, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 945 | [1475343949, 3, 2, -6, 0, 1, -4, 2, 1, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 946 | [2145921115, 3, 0, 3, 0, 0, 0, 6, -1, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 947 | [250599379, 3, 5, 5, 0, 1, 0, 2, -5, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 948 | [1073381615, 4, -4, 1, 1, 0, 2, -2, -3, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 949 | [958735158, -2, 0, 5, 1, 1, 0, -5, 6, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 950 | [1297355564, 5, -1, -1, 0, 1, 3, 5, -5, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 951 | [220633702, -5, -2, -1, 0, 1, 4, -2, 6, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 952 | [663913890, -2, 6, 3, 1, 1, -1, 0, -5, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 953 | [1271299391, 2, 5, -6, 1, 0, 4, -3, 0, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 954 | [1777035673, 2, -3, -4, 0, 1, 6, -2, -2, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 955 | [921310727, 4, 5, 5, 0, 1, -5, -2, -2, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 956 | [2117982211, 5, -4, -1, 0, 1, 1, 4, -6, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 957 | [1449266159, 5, 1, 4, 1, 0, 4, 3, -2, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 958 | [1826146955, 6, -1, -1, 0, 1, -5, 4, 4, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 959 | [1706670158, 6, -6, 4, 0, 0, -6, 1, 5, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 960 | [1150210116, 3, 5, -3, 1, 1, 5, -3, 4, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 961 | [1947842761, 0, -1, -1, 1, 1, 3, 1, -5, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 962 | [137077170, 4, 0, 6, 1, 0, 1, -3, -3, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 963 | [1487534985, 6, 1, 5, 1, 1, -6, -5, 2, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 964 | [109310081, 5, 3, -6, 0, 1, -5, 6, -1, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 965 | [503857083, -3, -1, -2, 1, 1, 5, -4, 0, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 966 | [1231583167, 6, -4, 2, 1, 0, -6, -5, 0, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 967 | [1946466776, 1, -1, 6, 0, 1, -5, -1, -1, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 968 | [1925032864, 1, 1, -1, 1, 0, 6, 0, 4, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 969 | [464861393, 2, -2, -4, 1, 1, 1, 4, -2, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 970 | [221098263, 1, -4, 2, 1, 0, 1, 4, -2, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 971 | [871715842, 2, -2, -3, 1, 0, 5, -6, 6, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 972 | [23367189, 1, -4, -4, 1, 1, -2, 6, -5, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 973 | [1801435555, -5, -5, -2, 1, 1, 3, -4, 5, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 974 | [1579664549, 2, -3, -4, 0, 1, -4, -3, -3, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 975 | [123691796, -3, -3, 3, 1, 1, 4, -4, -6, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 976 | [904315666, 4, -2, -5, 1, 0, -4, 4, -6, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 977 | [1211796243, -4, -2, -1, 0, 0, 5, -6, -3, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 978 | [911010614, 4, 0, 4, 0, 0, 4, -3, -5, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 979 | [1388360254, 3, -4, 2, 1, 0, 1, 6, 2, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 980 | [555664124, -5, 5, -5, 0, 0, -1, -3, -2, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 981 | [1785274831, -1, 6, -2, 0, 0, -2, -2, 3, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 982 | [296749358, 1, 4, 5, 1, 1, 2, -3, 3, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 983 | [1472487426, 6, 3, 4, 0, 0, -1, -1, -1, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 984 | [179463357, 5, 6, 5, 1, 0, 2, 3, 6, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 985 | [1563868821, -5, -5, -6, 0, 1, -2, -6, -3, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 986 | [1162486989, 1, -6, -1, 0, 0, 5, 6, 4, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 987 | [1839965762, 5, -4, -2, 1, 0, -4, 3, 4, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 988 | [1351009219, -6, 2, 6, 0, 1, 0, 6, 5, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 989 | [1603889153, 2, 4, -6, 1, 1, -4, 4, -2, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 990 | [1766158560, 1, 3, -6, 0, 1, 4, 6, 2, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 991 | [988289575, -6, -5, 5, 0, 1, 3, -5, -4, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 992 | [1779780288, -5, 5, 3, 0, 1, -4, 0, -6, 1, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 993 | [1925520845, -5, -2, -6, 1, 1, 1, -1, -3, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 994 | [1202009770, 6, -5, -6, 1, 0, 5, 4, -5, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 995 | [1190282205, 2, 5, -4, 1, 0, -3, -4, 5, 1, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 996 | [1082583595, -3, -2, 1, 1, 0, 6, -1, -3, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 997 | [1096548401, 4, -2, -6, 0, 0, -6, -4, -4, 0, 0] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 998 | [216724018, 0, 2, 3, 1, 1, -6, 0, 6, 0, 1] |
kaplansky_group_rings | Kaplansky group rings | frontier_or_constructive_witness | group-ring unit or zero-divisor witness | RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt | 999 | [712343325, -6, -6, 0, 1, 0, 0, -4, -6, 1, 1] |
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