test.json

[{"char_len": 176, "answer_start_char": 166, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 45, 2701, 65945, 1047, 220, 19, 75391, 372, 1941, 13, 1283, 2751, 220, 18, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 22, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nNehemiah had 4 cucumbers. He got 3. How many does he have now?\nYour response: He has 7 of them.", "id": 0}, {"char_len": 108, "answer_start_char": 94, "answer_char_len": 5, "tokens": [14924, 198, 97643, 1047, 220, 1049, 8330, 14380, 13, 1283, 2751, 220, 11128, 2397, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 706, 220, 10562, 2397, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nKnight had 200 squashes. He got 17965 more. How many does he have now?\nAnswer\nHe has 18165 of them.", "id": 1}, {"char_len": 133, "answer_start_char": 121, "answer_char_len": 3, "tokens": [334, 14924, 96618, 735, 1910, 82, 8669, 1047, 220, 1032, 19151, 64805, 13, 3005, 7319, 279, 3392, 555, 220, 20153, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 706, 220, 20385, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Kynslee had 13 eggplants. She increased the amount by 433. How many does she have now?\n**Answer**: She has 446 of them.", "id": 2}, {"char_len": 104, "answer_start_char": 93, "answer_char_len": 2, "tokens": [14924, 25, 24805, 3258, 1047, 220, 16, 1162, 13, 3005, 18661, 220, 24, 13, 2650, 1690, 5157, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 605, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 31, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Hadley had 1 case. She gained 9. How many cases does she have now?\nAnswer: She has 10 of them.", "id": 3}, {"char_len": 111, "answer_start_char": 99, "answer_char_len": 3, "tokens": [334, 14924, 96618, 356, 1037, 1047, 220, 1544, 19151, 64805, 13, 1283, 2751, 220, 18113, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 19166, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Cade had 27 eggplants. He got 351. How many does he have now?\n**Answer**: He now has 378 of them.", "id": 4}, {"char_len": 113, "answer_start_char": 99, "answer_char_len": 6, "tokens": [334, 48, 96618, 816, 39964, 1047, 220, 16, 30564, 13, 3005, 18661, 220, 25724, 15999, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 25724, 16567, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Yasmine had 1 lemon. She gained 853266 more. How many does she have now?\n**A**: She now has 853267 lemons.", "id": 5}, {"char_len": 125, "answer_start_char": 111, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 24903, 9008, 1047, 220, 7467, 75391, 372, 1941, 13, 3005, 3779, 220, 18, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 23305, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nSamira had 900 cucumbers. She added 3 more. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 903 cucumbers.", "id": 6}, {"char_len": 133, "answer_start_char": 121, "answer_char_len": 3, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 1128, 276, 1047, 220, 9079, 281, 7596, 13, 1283, 3952, 389, 220, 806, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 5894, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nConan had 119 pears. He took on 11. How many does he have now?\nAnswer: He has 130 of them.", "id": 7}, {"char_len": 104, "answer_start_char": 94, "answer_char_len": 3, "tokens": [334, 48, 96618, 53883, 451, 1047, 220, 1954, 5157, 13, 1283, 3952, 389, 220, 4767, 810, 13, 2650, 1690, 5157, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 220, 11247, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Cayde had 90 cases. He took on 76 more. How many cases does he have now?\n**A**: He has 166 cases.", "id": 8}, {"char_len": 148, "answer_start_char": 134, "answer_char_len": 5, "tokens": [14924, 271, 50, 15095, 689, 1047, 220, 10290, 2970, 52252, 1658, 12059, 13, 3005, 7319, 279, 3392, 555, 220, 17574, 16, 13, 2650, 1690, 52252, 1658, 12059, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 10336, 4643, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nSylvia had 14358 grapefruits. She increased the amount by 4121. How many grapefruits does she have now?\nAnswer\n\nShe now has 18479 of them.", "id": 9}, {"char_len": 141, "answer_start_char": 125, "answer_char_len": 7, "tokens": [14924, 198, 2149, 398, 942, 1047, 220, 679, 9863, 315, 5684, 13, 3005, 23415, 3201, 220, 9714, 24963, 13, 2650, 1690, 9863, 315, 5684, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 482, 9714, 19274, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nAllyson had 201 pieces of paper. She handed away 186861. How many pieces of paper does she have now?\nAnswer\nShe has -186660 of them.", "id": 10}, {"char_len": 93, "answer_start_char": 13, "answer_char_len": 1, "tokens": [48, 25, 921, 2706, 1047, 220, 1114, 2911, 13, 1283, 23415, 3201, 220, 845, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 220, 16, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 30, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Chaim had 17 children. He handed away 16. How many does he have now?\nA: He has 1 children.", "id": 11}, {"char_len": 143, "answer_start_char": 130, "answer_char_len": 4, "tokens": [12885, 53528, 15425, 42, 826, 3258, 1047, 220, 11286, 15, 8492, 1924, 13, 1283, 555, 3621, 1333, 5675, 220, 1544, 13, 2650, 1690, 8492, 1924, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 9992, 18, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nKingsley had 1580 olives. He by happenstance lost 27. How many olives does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 1553 of them.", "id": 12}, {"char_len": 146, "answer_start_char": 129, "answer_char_len": 9, "tokens": [16533, 279, 2768, 1473, 46, 25859, 1047, 220, 6086, 514, 24483, 13, 3005, 23415, 3201, 220, 26537, 19899, 3487, 13, 2650, 1690, 514, 24483, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 1457, 706, 482, 26537, 25465, 5728, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nOlive had 82 lemons. She handed away 84984056. How many lemons does she have now?\n\nResponse:\n\nShe now has -84983974 lemons.", "id": 13}, {"char_len": 136, "answer_start_char": 112, "answer_char_len": 15, "tokens": [14924, 271, 1737, 511, 1047, 220, 16, 272, 62059, 13, 1283, 2163, 4920, 220, 6640, 26247, 16660, 4364, 1691, 13, 2650, 1690, 272, 533, 72, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 482, 6640, 26247, 16660, 4364, 508, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nEnoc had 1 cactus. He left behind 10807627612021. How many cacti does he have now?\nAnswer\n\nHe now has -10807627612020 of them.", "id": 14}, {"char_len": 86, "answer_start_char": 75, "answer_char_len": 3, "tokens": [48, 25, 33412, 1047, 220, 9741, 514, 24483, 13, 1283, 5675, 220, 1032, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 220, 10861, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 30, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Victor had 185 lemons. He lost 13. How many does he have now?\nA: He has 172 lemons.", "id": 15}, {"char_len": 102, "answer_start_char": 93, "answer_char_len": 3, "tokens": [14924, 198, 9027, 1122, 1047, 220, 9756, 47136, 13, 1283, 5675, 220, 10680, 13, 2650, 1690, 47136, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 482, 1032, 47136, 13], "tokenizer": "cl100k_base", "tokens_len": 31, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nCalian had 152 peas. He lost 165. How many peas does he have now?\nAnswer\nHe now has -13 peas.", "id": 16}, {"char_len": 112, "answer_start_char": 98, "answer_char_len": 5, "tokens": [14924, 198, 6219, 414, 64, 1047, 220, 18520, 2166, 11012, 13, 3005, 23415, 3201, 220, 8848, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 220, 17306, 1987, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nAmoura had 35748 plants. She handed away 210. How many does she have now?\nAnswer\nShe has 35538 of them.", "id": 17}, {"char_len": 121, "answer_start_char": 105, "answer_char_len": 4, "tokens": [334, 14924, 96618, 5020, 402, 822, 1047, 220, 16, 78182, 13, 1283, 23415, 3201, 220, 9588, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 482, 16874, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Octavio had 1 pineapple. He handed away 320. How many does he have now?\n**Answer**: He has -319 pineapples.", "id": 18}, {"char_len": 187, "answer_start_char": 178, "answer_char_len": 2, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 14101, 830, 3852, 1047, 220, 2131, 281, 7596, 13, 3005, 2163, 4920, 220, 24, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 220, 2790, 281, 7596, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nEstefany had 55 pears. She left behind 9. How many does she have now?\nYour response: She now has 46 pears.", "id": 19}, {"char_len": 115, "answer_start_char": 102, "answer_char_len": 5, "tokens": [14924, 271, 44437, 266, 9334, 1047, 220, 24061, 1927, 11012, 13, 1283, 2751, 220, 19447, 13, 2650, 1690, 11012, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 19355, 843, 11012, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nIgnatius had 85936 plants. He got 496. How many plants does he have now?\nAnswer\n\nHe now has 86432 plants.", "id": 20}, {"char_len": 237, "answer_start_char": 159, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 46, 25529, 1047, 220, 16, 52252, 36698, 13, 1283, 555, 3621, 1333, 5675, 220, 16, 13, 1283, 7319, 279, 3392, 555, 220, 19, 13, 2650, 1690, 52252, 1658, 12059, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 19, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 61, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nOscar had 1 grapefruit. He by happenstance lost 1. He increased the amount by 4. How many grapefruits does he have now?\nYour response: He now has 4 of them.", "id": 21}, {"char_len": 138, "answer_start_char": 127, "answer_char_len": 2, "tokens": [334, 48, 96618, 90227, 1047, 220, 19, 47136, 13, 5112, 568, 2163, 4920, 220, 17, 13, 5112, 568, 3952, 389, 220, 2096, 13, 1283, 3779, 220, 605, 13, 2650, 1690, 47136, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 220, 3487, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 46, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Cecil had 4 peas. Then he left behind 2. Then he took on 44. He added 10. How many peas does he have now?\n**A**: He has 56 of them.", "id": 22}, {"char_len": 160, "answer_start_char": 149, "answer_char_len": 2, "tokens": [16533, 279, 2768, 1473, 3561, 992, 67, 1047, 220, 16, 52252, 36698, 13, 5112, 568, 3779, 220, 3080, 13, 1283, 2163, 4920, 220, 843, 13, 2650, 1690, 52252, 1658, 12059, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 1927, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nReginald had 1 grapefruit. Then he added 67. He left behind 32. How many grapefruits does he have now?\n\nResponse:\n\nHe now has 36 of them.", "id": 23}, {"char_len": 195, "answer_start_char": 184, "answer_char_len": 1, "tokens": [14924, 198, 39, 14406, 1047, 220, 16, 59576, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 16, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 16, 13, 3005, 7319, 279, 3392, 555, 220, 16, 13, 2650, 1690, 8330, 14380, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 1457, 706, 220, 17, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nHawa had 1 squash. Then she increased the amount by 1. Then she by happenstance lost 1. She increased the amount by 1. How many squashes does she have now?\nAnswer\nShe now has 2 squashes.", "id": 24}, {"char_len": 164, "answer_start_char": 153, "answer_char_len": 2, "tokens": [16533, 279, 2768, 1473, 32, 5730, 689, 1047, 220, 16, 73700, 13, 5112, 1364, 3952, 389, 220, 605, 13, 5112, 1364, 3779, 220, 1135, 13, 2650, 1690, 76203, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 1457, 706, 220, 5547, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nAmaria had 1 strawberry. Then she took on 10. Then she added 50. How many strawberries does she have now?\n\nResponse:\n\nShe now has 61 of them.", "id": 25}, {"char_len": 130, "answer_start_char": 116, "answer_char_len": 4, "tokens": [14924, 198, 47, 32560, 1047, 220, 16, 50625, 13, 1283, 5675, 220, 15, 13, 5112, 568, 18661, 220, 25862, 17, 13, 2650, 1690, 14155, 11966, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 220, 25862, 18, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nPablo had 1 pumpkin. He lost 0. Then he gained 8682. How many pumpkins does he have now?\nAnswer\nHe now has 8683 pumpkins.", "id": 26}, {"char_len": 142, "answer_start_char": 131, "answer_char_len": 2, "tokens": [334, 48, 96618, 1708, 2192, 95780, 1047, 220, 16, 98763, 13, 3005, 33356, 291, 220, 16, 13, 5112, 1364, 3779, 220, 868, 13, 5112, 1364, 18661, 220, 1032, 13, 2650, 1690, 47136, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 706, 220, 1591, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Alaiyah had 1 pea. She subtracted 1. Then she added 15. Then she gained 13. How many peas does she have now?\n**A**: She has 28 of them.", "id": 27}, {"char_len": 126, "answer_start_char": 113, "answer_char_len": 3, "tokens": [48, 25, 23727, 1974, 1047, 220, 23215, 2911, 13, 1283, 2751, 220, 9690, 13, 1283, 18661, 220, 16, 13, 1283, 18661, 220, 868, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 1457, 706, 220, 23193, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Kyland had 547 children. He got 151. He gained 1. He gained 15 more. How many does he have now?\nA: He now has 714 children.", "id": 28}, {"char_len": 186, "answer_start_char": 171, "answer_char_len": 5, "tokens": [334, 14924, 96618, 11284, 10231, 1047, 220, 6393, 2911, 13, 5112, 1364, 2751, 220, 13762, 806, 13, 5112, 1364, 3779, 220, 5162, 2790, 13, 5112, 1364, 23415, 3201, 220, 9413, 2614, 13, 2650, 1690, 2911, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 17058, 6069, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 51, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Royalty had 194 children. Then she got 21911. Then she added 19646. Then she handed away 13268. How many children does she have now?\n**Answer**: She now has 28483 children.", "id": 29}, {"char_len": 130, "answer_start_char": 119, "answer_char_len": 2, "tokens": [334, 14924, 96618, 9419, 2192, 1047, 220, 10562, 41613, 13, 5112, 568, 6688, 3201, 220, 10895, 13, 2650, 1690, 41613, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 1187, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Esai had 181 tomatoes. Then he gave away 157. How many tomatoes does he have now?\n**Answer**: He now has 24 of them.", "id": 30}, {"char_len": 128, "answer_start_char": 116, "answer_char_len": 3, "tokens": [14924, 25, 100169, 10994, 1047, 220, 20, 75391, 372, 1941, 13, 3005, 7319, 279, 3392, 555, 220, 9263, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 9795, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Eloisa had 5 cucumbers. She increased the amount by 131 more. How many does she have now?\nAnswer: She has 136 of them.", "id": 31}, {"char_len": 154, "answer_start_char": 142, "answer_char_len": 4, "tokens": [48, 25, 6706, 321, 3852, 1047, 220, 19, 41776, 13, 5112, 1364, 6688, 3201, 220, 19, 13, 3005, 18661, 220, 13121, 20, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 13762, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 1457, 706, 220, 11209, 21, 41776, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Keilany had 4 apples. Then she gave away 4. She gained 3025. Then she by happenstance lost 219. How many does she have now?\nA: She now has 2806 apples.", "id": 32}, {"char_len": 206, "answer_start_char": 192, "answer_char_len": 5, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 32974, 1047, 220, 20785, 6365, 63494, 13, 1283, 2163, 4920, 220, 20973, 3080, 13, 5112, 568, 5675, 220, 25873, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 7743, 2096, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nTy had 73093 berries. He left behind 61167. Then he lost 982. How many does he have now?\nYour response: He has 10944 of them.", "id": 33}, {"char_len": 120, "answer_start_char": 63, "answer_char_len": 1, "tokens": [14924, 198, 2654, 278, 483, 1047, 220, 16, 98763, 13, 3005, 2163, 4920, 220, 16, 13, 3005, 2163, 4920, 220, 15, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 1457, 706, 220, 15, 47136, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nAdaline had 1 pea. She left behind 1. She left behind 0. How many does she have now?\nAnswer\nShe now has 0 peas.", "id": 34}, {"char_len": 160, "answer_start_char": 138, "answer_char_len": 11, "tokens": [14924, 25, 75951, 1047, 220, 24071, 23873, 25401, 1272, 75391, 372, 1941, 13, 1283, 23415, 3201, 220, 18252, 23411, 23193, 1644, 13, 5112, 568, 18661, 220, 777, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 21330, 3101, 13302, 1627, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Lawson had 86287793240 cucumbers. He handed away 39357771433. Then he gained 19 more. How many does he have now?\nAnswer: He has 46930021826 cucumbers.", "id": 35}, {"char_len": 171, "answer_start_char": 156, "answer_char_len": 6, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 42, 6015, 5676, 1047, 220, 17662, 63494, 13, 3005, 18661, 220, 8953, 7755, 13, 5112, 1364, 18661, 220, 25665, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 11739, 14022, 63494, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nKaelani had 372 berries. She gained 168010. Then she gained 871. How many does she have now?\nAnswer: She now has 169253 berries.", "id": 36}, {"char_len": 133, "answer_start_char": 123, "answer_char_len": 2, "tokens": [48, 25, 97842, 75, 1047, 220, 19, 514, 24483, 13, 1283, 2751, 220, 20422, 13, 5112, 568, 2163, 4920, 220, 19746, 13, 1283, 2163, 4920, 220, 508, 13, 2650, 1690, 514, 24483, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 220, 914, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 46, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Kalel had 4 lemons. He got 389. Then he left behind 348. He left behind 20. How many lemons does he have now?\nA: He has 25 lemons.", "id": 37}, {"char_len": 125, "answer_start_char": 111, "answer_char_len": 4, "tokens": [14924, 198, 97283, 1047, 220, 15951, 14155, 11966, 13, 5112, 1364, 18661, 220, 16567, 16, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 1457, 706, 220, 13236, 20, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nOcean had 364 pumpkins. Then she gained 2671. How many pumpkins does she have now?\nAnswer\nShe now has 3035 pumpkins.", "id": 38}, {"char_len": 119, "answer_start_char": 27, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 32, 398, 20708, 1047, 220, 18, 75391, 372, 1941, 13, 3005, 5675, 220, 15, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 18, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nAlyvia had 3 cucumbers. She lost 0. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 3 cucumbers.", "id": 39}, {"char_len": 183, "answer_start_char": 169, "answer_char_len": 5, "tokens": [16533, 279, 2768, 1473, 88960, 1047, 220, 10895, 868, 4237, 82, 13, 1283, 23415, 3201, 220, 8878, 3174, 13, 5112, 568, 6688, 3201, 220, 9591, 23, 13, 5112, 568, 18661, 220, 8953, 605, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 10005, 1627, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 53, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nJohnny had 15715 figs. He handed away 13541. Then he gave away 1458. Then he gained 16810 more. How many does he have now?\n\nResponse:\n\nHe now has 17526 of them.", "id": 40}, {"char_len": 129, "answer_start_char": 114, "answer_char_len": 4, "tokens": [334, 48, 96618, 65515, 1047, 220, 16, 66032, 13, 1283, 18661, 220, 16949, 17, 810, 13, 5112, 568, 2751, 220, 8874, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 1457, 706, 220, 13754, 22, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Ronaldo had 1 cucumber. He gained 2782 more. Then he got 124. How many does he have now?\n**A**: He now has 2907 cucumbers.", "id": 41}, {"char_len": 162, "answer_start_char": 151, "answer_char_len": 5, "tokens": [14924, 198, 43057, 268, 1047, 220, 16, 4237, 13, 5112, 568, 23415, 3201, 220, 16, 13, 5112, 568, 3952, 389, 220, 23713, 19852, 810, 13, 5112, 568, 6688, 3201, 220, 4728, 26576, 13, 2650, 1690, 4237, 82, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 706, 220, 10559, 2421, 4237, 82, 13], "tokenizer": "cl100k_base", "tokens_len": 52, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nLanden had 1 fig. Then he handed away 1. Then he took on 816431 more. Then he gave away 800943. How many figs does he have now?\nAnswer\nHe has 15488 figs.", "id": 42}, {"char_len": 139, "answer_start_char": 129, "answer_char_len": 3, "tokens": [48, 25, 362, 8510, 95780, 1047, 220, 13074, 5157, 13, 3005, 23415, 3201, 220, 10005, 13, 3005, 2163, 4920, 220, 1313, 13, 3005, 23415, 3201, 220, 1227, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 1457, 706, 220, 10239, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Aziyah had 403 cases. She handed away 175. She left behind 22. She handed away 64. How many does she have now?\nA: She now has 142 cases.", "id": 43}, {"char_len": 137, "answer_start_char": 124, "answer_char_len": 4, "tokens": [334, 48, 96618, 4563, 72, 1047, 220, 22741, 19, 41776, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 17, 810, 13, 2650, 1690, 41776, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 22741, 21, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Cori had 4934 apples. Then she increased the amount by 2 more. How many apples does she have now?\n**A**: She now has 4936 of them.", "id": 44}, {"char_len": 45, "rule": "36*x+0", "tokens": [791, 6037, 25, 220, 1927, 18988, 10, 15, 271, 15, 91, 1927, 91, 5332, 91, 6640, 91, 8929, 91, 5245, 91, 12463, 91, 12326], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "arithmetic_sequence", "txt": "The rule: 36*x+0\n\n0|36|72|108|144|180|216|252", "id": 45}, {"char_len": 42, "rule": "4*(x+5)", "tokens": [791, 6037, 25, 220, 19, 6737, 87, 10, 20, 696, 508, 201, 1187, 201, 1591, 201, 843, 201, 1927, 201, 1272, 201, 2096, 201, 2166], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The rule: 4*(x+5)\n\n20\r24\r28\r32\r36\r40\r44\r48", "id": 46}, {"char_len": 51, "rule": "2^x+40", "tokens": [791, 6037, 25, 220, 17, 61, 87, 10, 1272, 271, 3174, 198, 2983, 198, 2096, 198, 2166, 198, 3487, 198, 5332, 198, 6849, 198, 8953, 198, 17408, 198, 21478], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The rule: 2^x+40\n\n41\n42\n44\n48\n56\n72\n104\n168\n296\n552", "id": 47}, {"char_len": 35, "rule": "4^x+0", "tokens": [791, 6037, 25, 220, 19, 61, 87, 10, 15, 271, 16, 197, 19, 197, 845, 197, 1227, 197, 4146, 197, 4278, 19], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: 4^x+0\n\n1\t4\t16\t64\t256\t1024", "id": 48}, {"char_len": 36, "rule": "33*x+86", "tokens": [791, 6037, 25, 220, 1644, 18988, 10, 4218, 271, 4218, 220, 220, 9079, 220, 220, 9756, 220, 220, 9741], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "The rule: 33*x+86\n\n86  119  152  185", "id": 49}, {"char_len": 35, "rule": "3^x+49", "tokens": [791, 6037, 25, 220, 18, 61, 87, 10, 2491, 271, 1135, 674, 220, 4103, 674, 220, 2970, 674, 220, 4767], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "arithmetic_sequence", "txt": "The rule: 3^x+49\n\n50 # 52 # 58 # 76", "id": 50}, {"char_len": 48, "rule": "x+0+22", "tokens": [791, 6037, 25, 865, 10, 15, 10, 1313, 271, 1313, 11, 220, 1419, 11, 220, 1187, 11, 220, 914, 11, 220, 1627, 11, 220, 1544, 11, 220, 1591, 11, 220, 1682], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The rule: x+0+22\n\n22, 23, 24, 25, 26, 27, 28, 29", "id": 51}, {"char_len": 48, "rule": "x^3+0", "tokens": [791, 6037, 25, 865, 61, 18, 10, 15, 271, 15, 91, 16, 91, 23, 91, 1544, 91, 1227, 91, 6549, 91, 12463, 91, 16522, 91, 8358, 91, 22194], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "The rule: x^3+0\n\n0|1|8|27|64|125|216|343|512|729", "id": 52}, {"char_len": 66, "rule": "3^x+64", "tokens": [791, 6037, 25, 220, 18, 61, 87, 10, 1227, 271, 2397, 11, 220, 3080, 11, 220, 5958, 11, 220, 5925, 11, 220, 9591, 11, 220, 14777, 11, 220, 24531, 11, 220, 11057, 16, 11, 220, 24199, 20, 11, 220, 4468, 2618], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The rule: 3^x+64\n\n65, 67, 73, 91, 145, 307, 793, 2251, 6625, 19747", "id": 53}, {"char_len": 74, "rule": "3^(x+2)+0", "tokens": [791, 6037, 25, 220, 18, 13571, 87, 10, 17, 7405, 15, 271, 24, 11, 220, 1544, 11, 220, 5932, 11, 220, 14052, 11, 220, 22194, 11, 220, 13302, 22, 11, 220, 20744, 16, 11, 220, 5162, 6069, 11, 220, 20615, 2491, 11, 220, 11242, 10288], "tokenizer": "cl100k_base", "tokens_len": 45, "data_type": "arithmetic_sequence", "txt": "The rule: 3^(x+2)+0\n\n9, 27, 81, 243, 729, 2187, 6561, 19683, 59049, 177147", "id": 54}, {"char_len": 41, "rule": "2*3^x+98", "tokens": [1041, 674, 220, 6849, 674, 220, 8027, 674, 220, 9756, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 10, 3264, 271], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "100 # 104 # 116 # 152The rule: 2*3^x+98\n\n", "id": 55}, {"char_len": 30, "rule": "x+0+3", "tokens": [18, 198, 19, 198, 20, 198, 21, 198, 22, 198, 23, 198, 24, 791, 6037, 25, 865, 10, 15, 10, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "3\n4\n5\n6\n7\n8\n9The rule: x+0+3\n\n", "id": 56}, {"char_len": 67, "rule": "4*4^x+0", "tokens": [19, 405, 845, 405, 1227, 405, 4146, 405, 4278, 19, 405, 12378, 21, 405, 9892, 5833, 405, 15573, 1927, 405, 14274, 8929, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "4->16->64->256->1024->4096->16384->65536->262144The rule: 4*4^x+0\n\n", "id": 57}, {"char_len": 41, "rule": "x+8*47", "tokens": [18322, 11, 220, 10898, 11, 220, 19166, 11, 220, 19867, 11, 220, 13897, 791, 6037, 25, 865, 10, 23, 9, 2618, 271], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "376, 377, 378, 379, 380The rule: x+8*47\n\n", "id": 58}, {"char_len": 64, "rule": "2^(x+4)+0", "tokens": [845, 11, 220, 843, 11, 220, 1227, 11, 220, 4386, 11, 220, 4146, 11, 220, 8358, 11, 220, 4278, 19, 11, 220, 7854, 23, 11, 220, 12378, 21, 791, 6037, 25, 220, 17, 13571, 87, 10, 19, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 40, "data_type": "arithmetic_sequence", "txt": "16, 32, 64, 128, 256, 512, 1024, 2048, 4096The rule: 2^(x+4)+0\n\n", "id": 59}, {"char_len": 38, "rule": "2*4^x+0", "tokens": [17, 262, 220, 23, 262, 220, 843, 262, 220, 4386, 791, 6037, 25, 220, 17, 9, 19, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "2    8    32    128The rule: 2*4^x+0\n\n", "id": 60}, {"char_len": 43, "rule": "27*(x+8)", "tokens": [12463, 198, 14052, 198, 10914, 198, 18163, 198, 16723, 198, 18113, 791, 6037, 25, 220, 1544, 6737, 87, 10, 23, 696], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "arithmetic_sequence", "txt": "216\n243\n270\n297\n324\n351The rule: 27*(x+8)\n\n", "id": 61}, {"char_len": 59, "rule": "x+48*44", "tokens": [11483, 17, 11, 220, 11483, 18, 11, 220, 11483, 19, 11, 220, 11483, 20, 11, 220, 11483, 21, 11, 220, 11483, 22, 11, 220, 11483, 23, 791, 6037, 25, 865, 10, 2166, 9, 2096, 271], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "2112, 2113, 2114, 2115, 2116, 2117, 2118The rule: x+48*44\n\n", "id": 62}, {"char_len": 31, "rule": "26*x+24", "tokens": [1187, 197, 1135, 197, 4767, 197, 4278, 791, 6037, 25, 220, 1627, 18988, 10, 1187, 271], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "arithmetic_sequence", "txt": "24\t50\t76\t102The rule: 26*x+24\n\n", "id": 63}, {"char_len": 45, "rule": "x+0*2", "tokens": [15, 271, 16, 271, 17, 271, 18, 271, 19, 271, 20, 271, 21, 271, 22, 271, 23, 271, 24, 791, 6037, 25, 865, 10, 15, 9, 17, 271], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "0\n\n1\n\n2\n\n3\n\n4\n\n5\n\n6\n\n7\n\n8\n\n9The rule: x+0*2\n\n", "id": 64}, {"char_len": 153, "rule": "3*4^x+62", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 9, 19, 61, 87, 10, 5538, 271, 2397, 674, 220, 5728, 674, 220, 5120, 674, 220, 12375, 674, 220, 21221, 674, 220, 15231, 19, 674, 220, 4513, 1135, 674, 220, 21776, 975], "tokenizer": "cl100k_base", "tokens_len": 53, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3*4^x+62\n\n65 # 74 # 110 # 254 # 830 # 3134 # 12350 # 49214", "id": 65}, {"char_len": 140, "rule": "22*x+41", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 1313, 18988, 10, 3174, 271, 3174, 91, 5495, 91, 5313, 91, 7699, 91, 9748, 91, 9690, 91, 11908, 91, 6280, 91, 13460, 91, 14815], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 22*x+41\n\n41|63|85|107|129|151|173|195|217|239", "id": 66}, {"char_len": 136, "rule": "2*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 271, 17, 11, 220, 21, 11, 220, 972, 11, 220, 4370, 11, 220, 10674, 11, 220, 21511, 11, 220, 9591, 23, 11, 220, 18318, 19], "tokenizer": "cl100k_base", "tokens_len": 50, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 2*3^x\n\n2, 6, 18, 54, 162, 486, 1458, 4374", "id": 67}, {"char_len": 154, "rule": "2*3^x+67", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 10, 3080, 271, 3076, 91, 5958, 91, 5313, 91, 7994, 91, 14378, 91, 22663, 91, 9756, 20, 91, 14870, 16, 91, 9263, 4578, 91, 20077, 1644, 91, 8899, 10680], "tokenizer": "cl100k_base", "tokens_len": 54, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 2*3^x+67\n\n69|73|85|121|229|553|1525|4441|13189|39433|118165", "id": 68}, {"char_len": 160, "rule": "10*(x+2)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 605, 6737, 87, 10, 17, 696, 508, 674, 220, 966, 674, 220, 1272, 674, 220, 1135, 674, 220, 1399, 674, 220, 2031, 674, 220, 1490, 674, 220, 1954, 674, 220, 1041, 674, 220, 5120, 674, 220, 4364], "tokenizer": "cl100k_base", "tokens_len": 57, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 10*(x+2)\n\n20 # 30 # 40 # 50 # 60 # 70 # 80 # 90 # 100 # 110 # 120", "id": 69}, {"char_len": 142, "rule": "2^x+58", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 17, 61, 87, 10, 2970, 271, 2946, 262, 220, 1399, 262, 220, 5538, 262, 220, 2287, 262, 220, 5728, 262, 220, 1954, 262, 220, 8259], "tokenizer": "cl100k_base", "tokens_len": 45, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 2^x+58\n\n59    60    62    66    74    90    122", "id": 70}, {"char_len": 153, "rule": "x+65*34", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 2397, 9, 1958, 271, 12425, 15, 197, 12425, 16, 197, 12425, 17, 197, 12425, 18, 197, 12425, 19, 197, 12425, 20, 197, 12425, 21, 197, 12425, 22, 197, 12425, 23, 197, 12425, 24], "tokenizer": "cl100k_base", "tokens_len": 54, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+65*34\n\n2210\t2211\t2212\t2213\t2214\t2215\t2216\t2217\t2218\t2219", "id": 71}, {"char_len": 146, "rule": "4^(x+3)+54", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 13571, 87, 10, 18, 7405, 4370, 271, 8899, 1174, 220, 12226, 1174, 220, 7699, 23, 1174, 220, 18136, 15, 1174, 220, 10513, 1987, 1174, 220, 15573, 1954], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4^(x+3)+54\n\n118 , 310 , 1078 , 4150 , 16438 , 65590", "id": 72}, {"char_len": 124, "rule": "x^4+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 19, 10, 15, 271, 15, 11, 220, 16, 11, 220, 845, 11, 220, 5932, 11, 220, 4146, 11, 220, 15894], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x^4+0\n\n0, 1, 16, 81, 256, 625", "id": 73}, {"char_len": 165, "rule": "11*(x+7)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 806, 6737, 87, 10, 22, 696, 2813, 1174, 220, 2421, 1174, 220, 1484, 1174, 220, 5120, 1174, 220, 7994, 1174, 220, 9413, 1174, 220, 10290, 1174, 220, 10559, 1174, 220, 10680, 1174, 220, 10967, 1174, 220, 9674], "tokenizer": "cl100k_base", "tokens_len": 57, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 11*(x+7)\n\n77 , 88 , 99 , 110 , 121 , 132 , 143 , 154 , 165 , 176 , 187", "id": 74}, {"char_len": 157, "rule": "2^(x+3)+67", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2075, 1174, 220, 6069, 1174, 220, 1484, 1174, 220, 9263, 1174, 220, 6280, 1174, 220, 15726, 1174, 220, 24847, 1174, 220, 7743, 16, 1174, 220, 11483, 20, 791, 6037, 25, 220, 17, 13571, 87, 10, 18, 7405, 3080, 271], "tokenizer": "cl100k_base", "tokens_len": 55, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n75 , 83 , 99 , 131 , 195 , 323 , 579 , 1091 , 2115The rule: 2^(x+3)+67\n\n", "id": 75}, {"char_len": 147, "rule": "x^2+26", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1627, 11, 220, 1544, 11, 220, 966, 11, 220, 1758, 11, 220, 2983, 11, 220, 3971, 11, 220, 5538, 11, 220, 2075, 11, 220, 1954, 11, 220, 7699, 11, 220, 9390, 791, 6037, 25, 865, 61, 17, 10, 1627, 271], "tokenizer": "cl100k_base", "tokens_len": 56, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n26, 27, 30, 35, 42, 51, 62, 75, 90, 107, 126The rule: x^2+26\n\n", "id": 76}, {"char_len": 120, "rule": "x+3+13", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 845, 220, 1114, 220, 972, 220, 777, 220, 508, 220, 1691, 791, 6037, 25, 865, 10, 18, 10, 1032, 271], "tokenizer": "cl100k_base", "tokens_len": 36, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n16 17 18 19 20 21The rule: x+3+13\n\n", "id": 77}, {"char_len": 150, "rule": "4*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 19, 220, 220, 845, 220, 220, 1227, 220, 220, 4146, 220, 220, 4278, 19, 220, 220, 12378, 21, 220, 220, 9892, 5833, 220, 220, 15573, 1927, 220, 220, 14274, 8929, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 56, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n4  16  64  256  1024  4096  16384  65536  262144The rule: 4*4^x\n\n", "id": 78}, {"char_len": 144, "rule": "37*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 262, 220, 1806, 262, 220, 5728, 262, 220, 5037, 262, 220, 10410, 262, 220, 9741, 262, 220, 9716, 791, 6037, 25, 220, 1806, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0    37    74    111    148    185    222The rule: 37*x+0\n\n", "id": 79}, {"char_len": 137, "rule": "4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 198, 19, 198, 845, 198, 1227, 198, 4146, 198, 4278, 19, 198, 12378, 21, 198, 9892, 5833, 198, 15573, 1927, 791, 6037, 25, 220, 19, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 47, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1\n4\n16\n64\n256\n1024\n4096\n16384\n65536The rule: 4^x+0\n\n", "id": 80}, {"char_len": 123, "rule": "x+0+30", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 966, 201, 2148, 201, 843, 201, 1644, 201, 1958, 201, 1758, 201, 1927, 791, 6037, 25, 865, 10, 15, 10, 966, 271], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n30\r31\r32\r33\r34\r35\r36The rule: x+0+30\n\n", "id": 81}, {"char_len": 193, "rule": "4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 262, 220, 19, 262, 220, 845, 262, 220, 1227, 262, 220, 4146, 262, 220, 4278, 19, 262, 220, 12378, 21, 262, 220, 9892, 5833, 262, 220, 15573, 1927, 262, 220, 14274, 8929, 262, 220, 6849, 20907, 21, 262, 220, 19391, 14245, 19, 791, 6037, 25, 220, 19, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 69, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1    4    16    64    256    1024    4096    16384    65536    262144    1048576    4194304The rule: 4^x+0\n\n", "id": 82}, {"char_len": 195, "rule": "2*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 262, 220, 23, 262, 220, 843, 262, 220, 4386, 262, 220, 8358, 262, 220, 7854, 23, 262, 220, 18831, 17, 262, 220, 13817, 2614, 262, 220, 9263, 23439, 262, 220, 21177, 15287, 262, 220, 12652, 22744, 17, 262, 220, 24250, 18670, 23, 791, 6037, 25, 220, 17, 9, 19, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 69, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2    8    32    128    512    2048    8192    32768    131072    524288    2097152    8388608The rule: 2*4^x\n\n", "id": 83}, {"char_len": 140, "rule": "x+72+9", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 5932, 1174, 220, 6086, 1174, 220, 6069, 1174, 220, 5833, 1174, 220, 5313, 1174, 220, 4218, 1174, 220, 4044, 1174, 220, 2421, 791, 6037, 25, 865, 10, 5332, 10, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 47, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n81 , 82 , 83 , 84 , 85 , 86 , 87 , 88The rule: x+72+9\n\n", "id": 84}, {"char_len": 107, "rule": "x+0+28", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1591, 11, 220, 1682, 11, 220, 966, 11, 220, 2148, 11, 220, 843, 11, 220, 1644], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n28, 29, 30, 31, 32, 33", "id": 85}, {"char_len": 102, "rule": "3*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 18, 220, 220, 24, 220, 220, 1544, 220, 220, 5932, 220, 220, 14052], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n3  9  27  81  243", "id": 86}, {"char_len": 143, "rule": "x+76*28", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 11227, 23, 405, 11227, 24, 405, 11702, 15, 405, 11702, 16, 405, 11702, 17, 405, 11702, 18, 405, 11702, 19, 405, 11702, 20, 405, 11702, 21, 405, 11702, 22], "tokenizer": "cl100k_base", "tokens_len": 45, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2128->2129->2130->2131->2132->2133->2134->2135->2136->2137", "id": 87}, {"char_len": 109, "rule": "2*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 765, 220, 19, 765, 220, 23, 765, 220, 845, 765, 220, 843, 765, 220, 1227], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2 | 4 | 8 | 16 | 32 | 64", "id": 88}, {"char_len": 121, "rule": "x+1+7", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 23, 405, 24, 405, 605, 405, 806, 405, 717, 405, 1032, 405, 975, 405, 868, 405, 845, 405, 1114], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n8->9->10->11->12->13->14->15->16->17", "id": 89}, {"char_len": 115, "rule": "x+0+36", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1927, 220, 220, 1806, 220, 220, 1987, 220, 220, 2137, 220, 220, 1272, 220, 220, 3174, 220, 220, 2983, 220, 220, 3391], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n36  37  38  39  40  41  42  43", "id": 90}, {"char_len": 118, "rule": "x+17*32", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 21239, 674, 220, 20749, 674, 220, 22048, 674, 220, 23215, 674, 220, 22287, 674, 220, 22782], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n544 # 545 # 546 # 547 # 548 # 549", "id": 91}, {"char_len": 114, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 11, 18, 11, 24, 11, 1544, 11, 5932, 11, 14052, 11, 22194, 11, 13302, 22, 11, 20744, 16], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1,3,9,27,81,243,729,2187,6561", "id": 92}, {"char_len": 118, "rule": "2^x+99", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1041, 220, 220, 4645, 220, 220, 6889, 220, 220, 7699, 220, 220, 7322, 220, 220, 9263, 220, 220, 9892], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n100  101  103  107  115  131  163", "id": 93}, {"char_len": 108, "rule": "x^2+86", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4218, 765, 220, 4044, 765, 220, 1954, 765, 220, 2721, 765, 220, 4278], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n86 | 87 | 90 | 95 | 102", "id": 94}, {"char_len": 222, "tokens": [972, 489, 220, 24809, 972, 1432, 220, 931, 7755, 198, 220, 220, 931, 972, 198, 220, 220, 24809, 972, 198, 10, 81049, 220, 931, 11030, 1432, 220, 931, 7755, 198, 220, 220, 931, 972, 198, 220, 220, 24809, 972, 198, 10, 81049, 220, 931, 23110, 1432, 220, 931, 7755, 198, 220, 220, 931, 972, 198, 220, 220, 24809, 972, 198, 10, 81049, 220, 931, 25192, 1432, 220, 931, 7755, 198, 220, 220, 931, 972, 198, 220, 220, 24809, 972, 198, 10, 81049, 220, 13858, 25192, 1432, 220, 931, 7755, 198, 220, 220, 931, 972, 198, 220, 220, 24809, 972, 198, 10, 81049, 220, 25867, 25192, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "18 + 89818\n\n\n 000010\n  00018\n  89818\n+ -----\n 000006\n\n\n 000010\n  00018\n  89818\n+ -----\n 000036\n\n\n 000010\n  00018\n  89818\n+ -----\n 000836\n\n\n 000010\n  00018\n  89818\n+ -----\n 009836\n\n\n 000010\n  00018\n  89818\n+ -----\n 089836\n\n", "id": 95}, {"char_len": 106, "tokens": [845, 489, 220, 11057, 1432, 220, 4119, 15, 198, 220, 220, 15794, 198, 220, 220, 11057, 198, 10, 55023, 220, 931, 16, 1432, 220, 4119, 15, 198, 220, 220, 15794, 198, 220, 220, 11057, 198, 10, 55023, 220, 8759, 16, 1432, 220, 4119, 15, 198, 220, 220, 15794, 198, 220, 220, 11057, 198, 10, 55023, 220, 19592, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "16 + 225\n\n\n 0010\n  016\n  225\n+ ---\n 0001\n\n\n 0010\n  016\n  225\n+ ---\n 0041\n\n\n 0010\n  016\n  225\n+ ---\n 0241\n\n", "id": 96}, {"char_len": 107, "tokens": [15573, 489, 220, 24427, 1432, 220, 4119, 15, 198, 220, 220, 15573, 198, 220, 220, 24427, 198, 10, 55023, 220, 931, 18, 1432, 220, 10731, 15, 198, 220, 220, 15573, 198, 220, 220, 24427, 198, 10, 55023, 220, 6726, 18, 1432, 220, 5037, 15, 198, 220, 220, 15573, 198, 220, 220, 24427, 198, 10, 55023, 220, 21040, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "655 + 668\n\n\n 0010\n  655\n  668\n+ ---\n 0003\n\n\n 0110\n  655\n  668\n+ ---\n 0023\n\n\n 1110\n  655\n  668\n+ ---\n 0323\n\n", "id": 97}, {"char_len": 472, "tokens": [8546, 489, 220, 679, 16415, 806, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 1114, 198, 220, 220, 679, 16415, 806, 198, 10, 90238, 220, 931, 931, 11436, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 1114, 198, 220, 220, 679, 16415, 806, 198, 10, 90238, 220, 931, 931, 22000, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 1114, 198, 220, 220, 679, 16415, 806, 198, 10, 90238, 220, 931, 931, 4386, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 1114, 198, 220, 220, 679, 16415, 806, 198, 10, 90238, 220, 931, 11030, 4386, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 1114, 198, 220, 220, 679, 16415, 806, 198, 10, 90238, 220, 931, 28153, 4386, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 1114, 198, 220, 220, 679, 16415, 806, 198, 10, 90238, 220, 931, 5162, 4386, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 1114, 198, 220, 220, 679, 16415, 806, 198, 10, 90238, 220, 931, 5162, 4386, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 1114, 198, 220, 220, 679, 16415, 806, 198, 10, 90238, 220, 11139, 5162, 4386, 271], "tokenizer": "cl100k_base", "tokens_len": 199, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "117 + 20196011\n\n\n 000000000\n  00000117\n  20196011\n+ --------\n 000000008\n\n\n 000000000\n  00000117\n  20196011\n+ --------\n 000000028\n\n\n 000000000\n  00000117\n  20196011\n+ --------\n 000000128\n\n\n 000000000\n  00000117\n  20196011\n+ --------\n 000006128\n\n\n 000000000\n  00000117\n  20196011\n+ --------\n 000096128\n\n\n 000000000\n  00000117\n  20196011\n+ --------\n 000196128\n\n\n 000000000\n  00000117\n  20196011\n+ --------\n 000196128\n\n\n 000000000\n  00000117\n  20196011\n+ --------\n 020196128\n\n", "id": 98}, {"char_len": 378, "tokens": [5926, 20063, 19, 489, 220, 3264, 1432, 220, 931, 931, 605, 198, 220, 220, 5926, 20063, 19, 198, 220, 220, 931, 13858, 23, 198, 10, 39707, 220, 931, 931, 2437, 1432, 220, 931, 4119, 605, 198, 220, 220, 5926, 20063, 19, 198, 220, 220, 931, 13858, 23, 198, 10, 39707, 220, 931, 931, 843, 1432, 220, 931, 4119, 605, 198, 220, 220, 5926, 20063, 19, 198, 220, 220, 931, 13858, 23, 198, 10, 39707, 220, 931, 6268, 843, 1432, 220, 931, 4119, 605, 198, 220, 220, 5926, 20063, 19, 198, 220, 220, 931, 13858, 23, 198, 10, 39707, 220, 931, 6268, 843, 1432, 220, 931, 4119, 605, 198, 220, 220, 5926, 20063, 19, 198, 220, 220, 931, 13858, 23, 198, 10, 39707, 220, 931, 9639, 843, 1432, 220, 931, 4119, 605, 198, 220, 220, 5926, 20063, 19, 198, 220, 220, 931, 13858, 23, 198, 10, 39707, 220, 13858, 9639, 843, 1432, 220, 931, 4119, 605, 198, 220, 220, 5926, 20063, 19, 198, 220, 220, 931, 13858, 23, 198, 10, 39707, 220, 18089, 9639, 843, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1920234 + 98\n\n\n 00000010\n  1920234\n  0000098\n+ -------\n 00000002\n\n\n 00000110\n  1920234\n  0000098\n+ -------\n 00000032\n\n\n 00000110\n  1920234\n  0000098\n+ -------\n 00000332\n\n\n 00000110\n  1920234\n  0000098\n+ -------\n 00000332\n\n\n 00000110\n  1920234\n  0000098\n+ -------\n 00020332\n\n\n 00000110\n  1920234\n  0000098\n+ -------\n 00920332\n\n\n 00000110\n  1920234\n  0000098\n+ -------\n 01920332\n\n", "id": 99}, {"char_len": 63, "tokens": [975, 489, 220, 3226, 1432, 220, 7755, 198, 220, 220, 975, 198, 220, 220, 3226, 198, 10, 40614, 220, 4119, 1432, 220, 7755, 198, 220, 220, 975, 198, 220, 220, 3226, 198, 10, 40614, 220, 24508, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "14 + 57\n\n\n 010\n  14\n  57\n+ --\n 001\n\n\n 010\n  14\n  57\n+ --\n 071\n\n", "id": 100}, {"char_len": 107, "tokens": [26328, 489, 220, 6860, 1432, 220, 931, 15, 198, 220, 220, 26328, 198, 220, 220, 6860, 198, 10, 55023, 220, 931, 24, 1432, 220, 931, 15, 198, 220, 220, 26328, 198, 220, 220, 6860, 198, 10, 55023, 220, 13858, 24, 1432, 220, 1041, 15, 198, 220, 220, 26328, 198, 220, 220, 6860, 198, 10, 55023, 220, 13858, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "959 + 140\n\n\n 0000\n  959\n  140\n+ ---\n 0009\n\n\n 0000\n  959\n  140\n+ ---\n 0099\n\n\n 1000\n  959\n  140\n+ ---\n 0099\n\n", "id": 101}, {"char_len": 161, "tokens": [8929, 18, 489, 220, 10290, 23, 1432, 220, 931, 605, 198, 220, 220, 8929, 18, 198, 220, 220, 10290, 23, 198, 10, 11556, 198, 220, 931, 1721, 1432, 220, 931, 605, 198, 220, 220, 8929, 18, 198, 220, 220, 10290, 23, 198, 10, 11556, 198, 220, 931, 5932, 1432, 220, 931, 605, 198, 220, 220, 8929, 18, 198, 220, 220, 10290, 23, 198, 10, 11556, 198, 220, 11436, 5932, 1432, 220, 931, 605, 198, 220, 220, 8929, 18, 198, 220, 220, 10290, 23, 198, 10, 11556, 198, 220, 22000, 5932, 271], "tokenizer": "cl100k_base", "tokens_len": 91, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1443 + 1438\n\n\n 00010\n  1443\n  1438\n+ ----\n 00001\n\n\n 00010\n  1443\n  1438\n+ ----\n 00081\n\n\n 00010\n  1443\n  1438\n+ ----\n 00881\n\n\n 00010\n  1443\n  1438\n+ ----\n 02881\n\n", "id": 102}, {"char_len": 574, "tokens": [1958, 489, 220, 16596, 18017, 26051, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 22379, 198, 220, 220, 16596, 18017, 26051, 198, 10, 220, 29547, 220, 931, 931, 931, 22, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 22379, 198, 220, 220, 16596, 18017, 26051, 198, 10, 220, 29547, 220, 931, 931, 13858, 22, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 22379, 198, 220, 220, 16596, 18017, 26051, 198, 10, 220, 29547, 220, 931, 931, 25867, 22, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 22379, 198, 220, 220, 16596, 18017, 26051, 198, 10, 220, 29547, 220, 931, 931, 20422, 22, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 22379, 198, 220, 220, 16596, 18017, 26051, 198, 10, 220, 29547, 220, 931, 11194, 20422, 22, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 22379, 198, 220, 220, 16596, 18017, 26051, 198, 10, 220, 29547, 220, 931, 23587, 20422, 22, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 22379, 198, 220, 220, 16596, 18017, 26051, 198, 10, 220, 29547, 220, 931, 19038, 20422, 22, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 22379, 198, 220, 220, 16596, 18017, 26051, 198, 10, 220, 29547, 220, 6268, 19038, 20422, 22, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 22379, 198, 220, 220, 16596, 18017, 26051, 198, 10, 220, 29547, 220, 13103, 19038, 20422, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 250, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "34 + 335373863\n\n\n 0000000000\n  000000034\n  335373863\n+ ---------\n 0000000007\n\n\n 0000000000\n  000000034\n  335373863\n+ ---------\n 0000000097\n\n\n 0000000000\n  000000034\n  335373863\n+ ---------\n 0000000897\n\n\n 0000000000\n  000000034\n  335373863\n+ ---------\n 0000003897\n\n\n 0000000000\n  000000034\n  335373863\n+ ---------\n 0000073897\n\n\n 0000000000\n  000000034\n  335373863\n+ ---------\n 0000373897\n\n\n 0000000000\n  000000034\n  335373863\n+ ---------\n 0005373897\n\n\n 0000000000\n  000000034\n  335373863\n+ ---------\n 0035373897\n\n\n 0000000000\n  000000034\n  335373863\n+ ---------\n 0335373897\n\n", "id": 103}, {"char_len": 575, "tokens": [25527, 489, 220, 22418, 17252, 17590, 1432, 220, 931, 931, 4119, 15, 198, 220, 220, 931, 931, 25527, 198, 220, 220, 22418, 17252, 17590, 198, 10, 220, 29547, 220, 931, 931, 931, 15, 1432, 220, 931, 931, 4119, 15, 198, 220, 220, 931, 931, 25527, 198, 220, 220, 22418, 17252, 17590, 198, 10, 220, 29547, 220, 931, 931, 11436, 15, 1432, 220, 931, 931, 4645, 15, 198, 220, 220, 931, 931, 25527, 198, 220, 220, 22418, 17252, 17590, 198, 10, 220, 29547, 220, 931, 931, 11436, 15, 1432, 220, 931, 931, 4645, 15, 198, 220, 220, 931, 931, 25527, 198, 220, 220, 22418, 17252, 17590, 198, 10, 220, 29547, 220, 931, 931, 6640, 15, 1432, 220, 931, 931, 4645, 15, 198, 220, 220, 931, 931, 25527, 198, 220, 220, 22418, 17252, 17590, 198, 10, 220, 29547, 220, 931, 6268, 6640, 15, 1432, 220, 931, 931, 4645, 15, 198, 220, 220, 931, 931, 25527, 198, 220, 220, 22418, 17252, 17590, 198, 10, 220, 29547, 220, 931, 25210, 6640, 15, 1432, 220, 931, 931, 4645, 15, 198, 220, 220, 931, 931, 25527, 198, 220, 220, 22418, 17252, 17590, 198, 10, 220, 29547, 220, 931, 25326, 6640, 15, 1432, 220, 931, 931, 4645, 15, 198, 220, 220, 931, 931, 25527, 198, 220, 220, 22418, 17252, 17590, 198, 10, 220, 29547, 220, 11436, 25326, 6640, 15, 1432, 220, 931, 931, 4645, 15, 198, 220, 220, 931, 931, 25527, 198, 220, 220, 22418, 17252, 17590, 198, 10, 220, 29547, 220, 23904, 25326, 6640, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 250, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "738 + 489530342\n\n\n 0000000010\n  000000738\n  489530342\n+ ---------\n 0000000000\n\n\n 0000000010\n  000000738\n  489530342\n+ ---------\n 0000000080\n\n\n 0000001010\n  000000738\n  489530342\n+ ---------\n 0000000080\n\n\n 0000001010\n  000000738\n  489530342\n+ ---------\n 0000001080\n\n\n 0000001010\n  000000738\n  489530342\n+ ---------\n 0000031080\n\n\n 0000001010\n  000000738\n  489530342\n+ ---------\n 0000531080\n\n\n 0000001010\n  000000738\n  489530342\n+ ---------\n 0009531080\n\n\n 0000001010\n  000000738\n  489530342\n+ ---------\n 0089531080\n\n\n 0000001010\n  000000738\n  489530342\n+ ---------\n 0489531080\n\n", "id": 104}, {"char_len": 378, "tokens": [1691, 489, 220, 22600, 11128, 18, 1432, 220, 931, 931, 410, 198, 220, 220, 931, 6726, 16, 198, 220, 220, 22600, 11128, 18, 198, 10, 39707, 220, 931, 931, 2371, 1432, 220, 931, 4119, 410, 198, 220, 220, 931, 6726, 16, 198, 220, 220, 22600, 11128, 18, 198, 10, 39707, 220, 931, 931, 975, 1432, 220, 931, 4119, 410, 198, 220, 220, 931, 6726, 16, 198, 220, 220, 22600, 11128, 18, 198, 10, 39707, 220, 931, 11436, 975, 1432, 220, 931, 4119, 410, 198, 220, 220, 931, 6726, 16, 198, 220, 220, 22600, 11128, 18, 198, 10, 39707, 220, 931, 16745, 975, 1432, 220, 931, 4119, 410, 198, 220, 220, 931, 6726, 16, 198, 220, 220, 22600, 11128, 18, 198, 10, 39707, 220, 931, 23141, 975, 1432, 220, 931, 4119, 410, 198, 220, 220, 931, 6726, 16, 198, 220, 220, 22600, 11128, 18, 198, 10, 39707, 220, 6268, 23141, 975, 1432, 220, 931, 4119, 410, 198, 220, 220, 931, 6726, 16, 198, 220, 220, 22600, 11128, 18, 198, 10, 39707, 220, 25210, 23141, 975, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "21 + 5381793\n\n\n 00000000\n  0000021\n  5381793\n+ -------\n 00000004\n\n\n 00000100\n  0000021\n  5381793\n+ -------\n 00000014\n\n\n 00000100\n  0000021\n  5381793\n+ -------\n 00000814\n\n\n 00000100\n  0000021\n  5381793\n+ -------\n 00001814\n\n\n 00000100\n  0000021\n  5381793\n+ -------\n 00081814\n\n\n 00000100\n  0000021\n  5381793\n+ -------\n 00381814\n\n\n 00000100\n  0000021\n  5381793\n+ -------\n 05381814\n\n", "id": 105}, {"char_len": 106, "tokens": [975, 489, 220, 10465, 1432, 220, 4119, 15, 198, 220, 220, 15901, 198, 220, 220, 10465, 198, 10, 55023, 220, 931, 15, 1432, 220, 4119, 15, 198, 220, 220, 15901, 198, 220, 220, 10465, 198, 10, 55023, 220, 11030, 15, 1432, 220, 4119, 15, 198, 220, 220, 15901, 198, 220, 220, 10465, 198, 10, 55023, 220, 15794, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "14 + 146\n\n\n 0010\n  014\n  146\n+ ---\n 0000\n\n\n 0010\n  014\n  146\n+ ---\n 0060\n\n\n 0010\n  014\n  146\n+ ---\n 0160\n\n", "id": 106}, {"char_len": 575, "tokens": [4645, 489, 220, 17014, 17590, 23402, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 4645, 198, 220, 220, 17014, 17590, 23402, 198, 10, 220, 29547, 220, 931, 931, 931, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 4645, 198, 220, 220, 17014, 17590, 23402, 198, 10, 220, 29547, 220, 931, 931, 11194, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 4645, 198, 220, 220, 17014, 17590, 23402, 198, 10, 220, 29547, 220, 931, 931, 27309, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 4645, 198, 220, 220, 17014, 17590, 23402, 198, 10, 220, 29547, 220, 931, 931, 16567, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 4645, 198, 220, 220, 17014, 17590, 23402, 198, 10, 220, 29547, 220, 931, 8759, 16567, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 4645, 198, 220, 220, 17014, 17590, 23402, 198, 10, 220, 29547, 220, 931, 22379, 16567, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 4645, 198, 220, 220, 17014, 17590, 23402, 198, 10, 220, 29547, 220, 931, 24307, 16567, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 4645, 198, 220, 220, 17014, 17590, 23402, 198, 10, 220, 29547, 220, 6268, 24307, 16567, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 4645, 198, 220, 220, 17014, 17590, 23402, 198, 10, 220, 29547, 220, 13103, 24307, 16567, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 250, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "101 + 336342574\n\n\n 0000000000\n  000000101\n  336342574\n+ ---------\n 0000000005\n\n\n 0000000000\n  000000101\n  336342574\n+ ---------\n 0000000075\n\n\n 0000000000\n  000000101\n  336342574\n+ ---------\n 0000000675\n\n\n 0000000000\n  000000101\n  336342574\n+ ---------\n 0000002675\n\n\n 0000000000\n  000000101\n  336342574\n+ ---------\n 0000042675\n\n\n 0000000000\n  000000101\n  336342574\n+ ---------\n 0000342675\n\n\n 0000000000\n  000000101\n  336342574\n+ ---------\n 0006342675\n\n\n 0000000000\n  000000101\n  336342574\n+ ---------\n 0036342675\n\n\n 0000000000\n  000000101\n  336342574\n+ ---------\n 0336342675\n\n", "id": 107}, {"char_len": 107, "tokens": [10750, 489, 220, 25828, 1432, 220, 4119, 15, 198, 220, 220, 10750, 198, 220, 220, 25828, 198, 10, 55023, 220, 931, 16, 1432, 220, 10731, 15, 198, 220, 220, 10750, 198, 220, 220, 25828, 198, 10, 55023, 220, 931, 16, 1432, 220, 5037, 15, 198, 220, 220, 10750, 198, 220, 220, 25828, 198, 10, 55023, 220, 7755, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "183 + 918\n\n\n 0010\n  183\n  918\n+ ---\n 0001\n\n\n 0110\n  183\n  918\n+ ---\n 0001\n\n\n 1110\n  183\n  918\n+ ---\n 0101\n\n", "id": 108}, {"char_len": 159, "tokens": [1114, 489, 220, 21860, 19, 1432, 220, 931, 605, 198, 220, 220, 4119, 22, 198, 220, 220, 21860, 19, 198, 10, 11556, 198, 220, 931, 1721, 1432, 220, 931, 605, 198, 220, 220, 4119, 22, 198, 220, 220, 21860, 19, 198, 10, 11556, 198, 220, 931, 2148, 1432, 220, 931, 605, 198, 220, 220, 4119, 22, 198, 220, 220, 21860, 19, 198, 10, 11556, 198, 220, 8504, 2148, 1432, 220, 931, 605, 198, 220, 220, 4119, 22, 198, 220, 220, 21860, 19, 198, 10, 11556, 198, 220, 22913, 2148, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "17 + 5514\n\n\n 00010\n  0017\n  5514\n+ ----\n 00001\n\n\n 00010\n  0017\n  5514\n+ ----\n 00031\n\n\n 00010\n  0017\n  5514\n+ ----\n 00531\n\n\n 00010\n  0017\n  5514\n+ ----\n 05531\n\n", "id": 109}, {"char_len": 159, "tokens": [10750, 19, 489, 220, 605, 1432, 220, 931, 410, 198, 220, 220, 10750, 19, 198, 220, 220, 4119, 15, 198, 10, 11556, 198, 220, 931, 2371, 1432, 220, 931, 410, 198, 220, 220, 10750, 19, 198, 220, 220, 4119, 15, 198, 10, 11556, 198, 220, 931, 2096, 1432, 220, 931, 410, 198, 220, 220, 10750, 19, 198, 220, 220, 4119, 15, 198, 10, 11556, 198, 220, 11436, 2096, 1432, 220, 931, 410, 198, 220, 220, 10750, 19, 198, 220, 220, 4119, 15, 198, 10, 11556, 198, 220, 16745, 2096, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1834 + 10\n\n\n 00000\n  1834\n  0010\n+ ----\n 00004\n\n\n 00000\n  1834\n  0010\n+ ----\n 00044\n\n\n 00000\n  1834\n  0010\n+ ----\n 00844\n\n\n 00000\n  1834\n  0010\n+ ----\n 01844\n\n", "id": 110}, {"char_len": 222, "tokens": [1135, 489, 220, 8765, 5728, 1432, 220, 931, 931, 198, 220, 220, 931, 1135, 198, 220, 220, 8765, 5728, 198, 10, 81049, 220, 931, 8759, 1432, 220, 931, 1041, 198, 220, 220, 931, 1135, 198, 220, 220, 8765, 5728, 198, 10, 81049, 220, 931, 19592, 1432, 220, 931, 1041, 198, 220, 220, 931, 1135, 198, 220, 220, 8765, 5728, 198, 10, 81049, 220, 931, 18517, 1432, 220, 931, 1041, 198, 220, 220, 931, 1135, 198, 220, 220, 8765, 5728, 198, 10, 81049, 220, 6268, 18517, 1432, 220, 931, 1041, 198, 220, 220, 931, 1135, 198, 220, 220, 8765, 5728, 198, 10, 81049, 220, 13103, 18517, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "50 + 33374\n\n\n 000000\n  00050\n  33374\n+ -----\n 000004\n\n\n 000100\n  00050\n  33374\n+ -----\n 000024\n\n\n 000100\n  00050\n  33374\n+ -----\n 000424\n\n\n 000100\n  00050\n  33374\n+ -----\n 003424\n\n\n 000100\n  00050\n  33374\n+ -----\n 033424\n\n", "id": 111}, {"char_len": 689, "tokens": [10132, 15, 489, 220, 17000, 8190, 17590, 23, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 10132, 15, 198, 220, 220, 17000, 8190, 17590, 23, 198, 10, 31423, 220, 931, 931, 931, 2318, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 10132, 15, 198, 220, 220, 17000, 8190, 17590, 23, 198, 10, 31423, 220, 931, 931, 931, 2421, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 10132, 15, 198, 220, 220, 17000, 8190, 17590, 23, 198, 10, 31423, 220, 931, 931, 13858, 2421, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 10132, 15, 198, 220, 220, 17000, 8190, 17590, 23, 198, 10, 31423, 220, 931, 931, 25307, 2421, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 10132, 15, 198, 220, 220, 17000, 8190, 17590, 23, 198, 10, 31423, 220, 931, 931, 18634, 2421, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 10132, 15, 198, 220, 220, 17000, 8190, 17590, 23, 198, 10, 31423, 220, 931, 4119, 18634, 2421, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 10132, 15, 198, 220, 220, 17000, 8190, 17590, 23, 198, 10, 31423, 220, 931, 10731, 18634, 2421, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 10132, 15, 198, 220, 220, 17000, 8190, 17590, 23, 198, 10, 31423, 220, 931, 5037, 18634, 2421, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 10132, 15, 198, 220, 220, 17000, 8190, 17590, 23, 198, 10, 31423, 220, 4119, 5037, 18634, 2421, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 10132, 15, 198, 220, 220, 17000, 8190, 17590, 23, 198, 10, 31423, 220, 24443, 5037, 18634, 2421, 271], "tokenizer": "cl100k_base", "tokens_len": 289, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1560 + 9111133428\n\n\n 00000000000\n  0000001560\n  9111133428\n+ ----------\n 00000000008\n\n\n 00000000000\n  0000001560\n  9111133428\n+ ----------\n 00000000088\n\n\n 00000000000\n  0000001560\n  9111133428\n+ ----------\n 00000000988\n\n\n 00000000000\n  0000001560\n  9111133428\n+ ----------\n 00000004988\n\n\n 00000000000\n  0000001560\n  9111133428\n+ ----------\n 00000034988\n\n\n 00000000000\n  0000001560\n  9111133428\n+ ----------\n 00000134988\n\n\n 00000000000\n  0000001560\n  9111133428\n+ ----------\n 00001134988\n\n\n 00000000000\n  0000001560\n  9111133428\n+ ----------\n 00011134988\n\n\n 00000000000\n  0000001560\n  9111133428\n+ ----------\n 00111134988\n\n\n 00000000000\n  0000001560\n  9111133428\n+ ----------\n 09111134988\n\n", "id": 112}, {"char_len": 811, "tokens": [16718, 489, 220, 10465, 8874, 24199, 3391, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 6268, 1114, 198, 220, 220, 10465, 8874, 24199, 3391, 198, 10, 220, 26999, 220, 931, 931, 931, 931, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 6268, 1114, 198, 220, 220, 10465, 8874, 24199, 3391, 198, 10, 220, 26999, 220, 931, 931, 931, 15101, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 6268, 1114, 198, 220, 220, 10465, 8874, 24199, 3391, 198, 10, 220, 26999, 220, 931, 931, 931, 17698, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 6268, 1114, 198, 220, 220, 10465, 8874, 24199, 3391, 198, 10, 220, 26999, 220, 931, 931, 11030, 17698, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 6268, 1114, 198, 220, 220, 10465, 8874, 24199, 3391, 198, 10, 220, 26999, 220, 931, 931, 23835, 17698, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 6268, 1114, 198, 220, 220, 10465, 8874, 24199, 3391, 198, 10, 220, 26999, 220, 931, 931, 21404, 17698, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 6268, 1114, 198, 220, 220, 10465, 8874, 24199, 3391, 198, 10, 220, 26999, 220, 931, 6726, 21404, 17698, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 6268, 1114, 198, 220, 220, 10465, 8874, 24199, 3391, 198, 10, 220, 26999, 220, 931, 11531, 21404, 17698, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 6268, 1114, 198, 220, 220, 10465, 8874, 24199, 3391, 198, 10, 220, 26999, 220, 931, 21018, 21404, 17698, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 6268, 1114, 198, 220, 220, 10465, 8874, 24199, 3391, 198, 10, 220, 26999, 220, 8759, 21018, 21404, 17698, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 6268, 1114, 198, 220, 220, 10465, 8874, 24199, 3391, 198, 10, 220, 26999, 220, 15901, 21018, 21404, 17698, 271], "tokenizer": "cl100k_base", "tokens_len": 327, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "317 + 14612466243\n\n\n 000000000010\n  00000000317\n  14612466243\n+ -----------\n 000000000000\n\n\n 000000000010\n  00000000317\n  14612466243\n+ -----------\n 000000000060\n\n\n 000000000010\n  00000000317\n  14612466243\n+ -----------\n 000000000560\n\n\n 000000000010\n  00000000317\n  14612466243\n+ -----------\n 000000006560\n\n\n 000000000010\n  00000000317\n  14612466243\n+ -----------\n 000000066560\n\n\n 000000000010\n  00000000317\n  14612466243\n+ -----------\n 000000466560\n\n\n 000000000010\n  00000000317\n  14612466243\n+ -----------\n 000002466560\n\n\n 000000000010\n  00000000317\n  14612466243\n+ -----------\n 000012466560\n\n\n 000000000010\n  00000000317\n  14612466243\n+ -----------\n 000612466560\n\n\n 000000000010\n  00000000317\n  14612466243\n+ -----------\n 004612466560\n\n\n 000000000010\n  00000000317\n  14612466243\n+ -----------\n 014612466560\n\n", "id": 113}, {"char_len": 63, "tokens": [868, 489, 220, 975, 1432, 220, 931, 198, 220, 220, 868, 198, 220, 220, 975, 198, 10, 40614, 220, 13858, 1432, 220, 931, 198, 220, 220, 868, 198, 220, 220, 975, 198, 10, 40614, 220, 23273, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "15 + 14\n\n\n 000\n  15\n  14\n+ --\n 009\n\n\n 000\n  15\n  14\n+ --\n 029\n\n", "id": 114}, {"char_len": 378, "tokens": [5926, 26114, 19, 489, 220, 1691, 1432, 220, 931, 931, 410, 198, 220, 220, 5926, 26114, 19, 198, 220, 220, 931, 6726, 16, 198, 10, 39707, 220, 931, 931, 2304, 1432, 220, 931, 931, 410, 198, 220, 220, 5926, 26114, 19, 198, 220, 220, 931, 6726, 16, 198, 10, 39707, 220, 931, 931, 1758, 1432, 220, 931, 931, 410, 198, 220, 220, 5926, 26114, 19, 198, 220, 220, 931, 6726, 16, 198, 10, 39707, 220, 931, 11030, 1758, 1432, 220, 931, 931, 410, 198, 220, 220, 5926, 26114, 19, 198, 220, 220, 931, 6726, 16, 198, 10, 39707, 220, 931, 28153, 1758, 1432, 220, 931, 931, 410, 198, 220, 220, 5926, 26114, 19, 198, 220, 220, 931, 6726, 16, 198, 10, 39707, 220, 931, 17408, 1758, 1432, 220, 931, 931, 410, 198, 220, 220, 5926, 26114, 19, 198, 220, 220, 931, 6726, 16, 198, 10, 39707, 220, 13858, 17408, 1758, 1432, 220, 931, 931, 410, 198, 220, 220, 5926, 26114, 19, 198, 220, 220, 931, 6726, 16, 198, 10, 39707, 220, 18089, 17408, 1758, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1929614 + 21\n\n\n 00000000\n  1929614\n  0000021\n+ -------\n 00000005\n\n\n 00000000\n  1929614\n  0000021\n+ -------\n 00000035\n\n\n 00000000\n  1929614\n  0000021\n+ -------\n 00000635\n\n\n 00000000\n  1929614\n  0000021\n+ -------\n 00009635\n\n\n 00000000\n  1929614\n  0000021\n+ -------\n 00029635\n\n\n 00000000\n  1929614\n  0000021\n+ -------\n 00929635\n\n\n 00000000\n  1929614\n  0000021\n+ -------\n 01929635\n\n", "id": 115}, {"char_len": 159, "tokens": [1644, 489, 220, 23776, 23, 1432, 220, 931, 605, 198, 220, 220, 6268, 18, 198, 220, 220, 23776, 23, 198, 10, 11556, 198, 220, 931, 1721, 1432, 220, 4119, 605, 198, 220, 220, 6268, 18, 198, 220, 220, 23776, 23, 198, 10, 11556, 198, 220, 931, 806, 1432, 220, 4119, 605, 198, 220, 220, 6268, 18, 198, 220, 220, 23776, 23, 198, 10, 11556, 198, 220, 11030, 806, 1432, 220, 4119, 605, 198, 220, 220, 6268, 18, 198, 220, 220, 23776, 23, 198, 10, 11556, 198, 220, 26247, 806, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "33 + 7578\n\n\n 00010\n  0033\n  7578\n+ ----\n 00001\n\n\n 00110\n  0033\n  7578\n+ ----\n 00011\n\n\n 00110\n  0033\n  7578\n+ ----\n 00611\n\n\n 00110\n  0033\n  7578\n+ ----\n 07611\n\n", "id": 116}, {"char_len": 577, "tokens": [15189, 2137, 489, 220, 10513, 21600, 5894, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 18887, 23033, 198, 220, 220, 10513, 21600, 5894, 198, 10, 220, 29547, 220, 931, 931, 931, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 18887, 23033, 198, 220, 220, 10513, 21600, 5894, 198, 10, 220, 29547, 220, 931, 931, 11030, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 18887, 23033, 198, 220, 220, 10513, 21600, 5894, 198, 10, 220, 29547, 220, 931, 931, 23835, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 18887, 23033, 198, 220, 220, 10513, 21600, 5894, 198, 10, 220, 29547, 220, 931, 931, 25358, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 18887, 23033, 198, 220, 220, 10513, 21600, 5894, 198, 10, 220, 29547, 220, 931, 11030, 25358, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 18887, 23033, 198, 220, 220, 10513, 21600, 5894, 198, 10, 220, 29547, 220, 931, 25921, 25358, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 18887, 23033, 198, 220, 220, 10513, 21600, 5894, 198, 10, 220, 29547, 220, 931, 10961, 25358, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 18887, 23033, 198, 220, 220, 10513, 21600, 5894, 198, 10, 220, 29547, 220, 11030, 10961, 25358, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 18887, 23033, 198, 220, 220, 10513, 21600, 5894, 198, 10, 220, 29547, 220, 15794, 10961, 25358, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 251, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "31539 + 164536130\n\n\n 0000000000\n  000031539\n  164536130\n+ ---------\n 0000000009\n\n\n 0000000000\n  000031539\n  164536130\n+ ---------\n 0000000069\n\n\n 0000000000\n  000031539\n  164536130\n+ ---------\n 0000000669\n\n\n 0000000000\n  000031539\n  164536130\n+ ---------\n 0000007669\n\n\n 0000000000\n  000031539\n  164536130\n+ ---------\n 0000067669\n\n\n 0000000000\n  000031539\n  164536130\n+ ---------\n 0000567669\n\n\n 0000000000\n  000031539\n  164536130\n+ ---------\n 0004567669\n\n\n 0000000000\n  000031539\n  164536130\n+ ---------\n 0064567669\n\n\n 0000000000\n  000031539\n  164536130\n+ ---------\n 0164567669\n\n", "id": 117}, {"char_len": 106, "tokens": [5067, 489, 220, 1135, 1432, 220, 931, 15, 198, 220, 220, 5067, 198, 220, 220, 16193, 198, 10, 55023, 220, 931, 15, 1432, 220, 931, 15, 198, 220, 220, 5067, 198, 220, 220, 16193, 198, 10, 55023, 220, 8504, 15, 1432, 220, 931, 15, 198, 220, 220, 5067, 198, 220, 220, 16193, 198, 10, 55023, 220, 26478, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "600 + 50\n\n\n 0000\n  600\n  050\n+ ---\n 0000\n\n\n 0000\n  600\n  050\n+ ---\n 0050\n\n\n 0000\n  600\n  050\n+ ---\n 0650\n\n", "id": 118}, {"char_len": 574, "tokens": [1806, 489, 220, 18633, 13719, 16590, 1432, 220, 931, 931, 4119, 15, 198, 220, 220, 931, 931, 23587, 198, 220, 220, 18633, 13719, 16590, 198, 10, 220, 29547, 220, 931, 931, 931, 16, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 931, 931, 23587, 198, 220, 220, 18633, 13719, 16590, 198, 10, 220, 29547, 220, 931, 931, 4119, 16, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 931, 931, 23587, 198, 220, 220, 18633, 13719, 16590, 198, 10, 220, 29547, 220, 931, 931, 18887, 16, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 931, 931, 23587, 198, 220, 220, 18633, 13719, 16590, 198, 10, 220, 29547, 220, 931, 931, 19852, 16, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 931, 931, 23587, 198, 220, 220, 18633, 13719, 16590, 198, 10, 220, 29547, 220, 931, 8759, 19852, 16, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 931, 931, 23587, 198, 220, 220, 18633, 13719, 16590, 198, 10, 220, 29547, 220, 931, 19592, 19852, 16, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 931, 931, 23587, 198, 220, 220, 18633, 13719, 16590, 198, 10, 220, 29547, 220, 931, 25016, 19852, 16, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 931, 931, 23587, 198, 220, 220, 18633, 13719, 16590, 198, 10, 220, 29547, 220, 6268, 25016, 19852, 16, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 931, 931, 23587, 198, 220, 220, 18633, 13719, 16590, 198, 10, 220, 29547, 220, 13103, 25016, 19852, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 250, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "37 + 338244274\n\n\n 0000000010\n  000000037\n  338244274\n+ ---------\n 0000000001\n\n\n 0000000110\n  000000037\n  338244274\n+ ---------\n 0000000011\n\n\n 0000000110\n  000000037\n  338244274\n+ ---------\n 0000000311\n\n\n 0000000110\n  000000037\n  338244274\n+ ---------\n 0000004311\n\n\n 0000000110\n  000000037\n  338244274\n+ ---------\n 0000044311\n\n\n 0000000110\n  000000037\n  338244274\n+ ---------\n 0000244311\n\n\n 0000000110\n  000000037\n  338244274\n+ ---------\n 0008244311\n\n\n 0000000110\n  000000037\n  338244274\n+ ---------\n 0038244311\n\n\n 0000000110\n  000000037\n  338244274\n+ ---------\n 0338244311\n\n", "id": 119}, {"char_len": 191, "tokens": [11057, 24, 482, 220, 845, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11057, 24, 198, 220, 220, 4119, 21, 198, 12, 11556, 198, 220, 220, 931, 18, 271, 931, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11057, 24, 198, 220, 220, 4119, 21, 198, 12, 11556, 198, 220, 220, 8759, 18, 271, 8759, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11057, 24, 198, 220, 220, 4119, 21, 198, 12, 11556, 198, 220, 220, 19592, 18, 271, 19592, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11057, 24, 198, 220, 220, 4119, 21, 198, 12, 11556, 198, 220, 220, 10697, 18, 271, 10697, 18, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2259 - 16\n\n\nBorrow: 0\n  2259\n  0016\n- ----\n  0003\n\n0003\n\nBorrow: 0\n  2259\n  0016\n- ----\n  0043\n\n0043\n\nBorrow: 0\n  2259\n  0016\n- ----\n  0243\n\n0243\n\nBorrow: 0\n  2259\n  0016\n- ----\n  2243\n\n2243\n", "id": 120}, {"char_len": 191, "tokens": [5120, 21, 482, 220, 1627, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 5120, 21, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 931, 15, 271, 931, 15, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 5120, 21, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 11436, 15, 271, 11436, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5120, 21, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 11436, 15, 271, 11436, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5120, 21, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 6640, 15, 271, 6640, 15, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1106 - 26\n\n\nBorrow: 0\n  1106\n  0026\n- ----\n  0000\n\n0000\n\nBorrow: 1\n  1106\n  0026\n- ----\n  0080\n\n0080\n\nBorrow: 0\n  1106\n  0026\n- ----\n  0080\n\n0080\n\nBorrow: 0\n  1106\n  0026\n- ----\n  1080\n\n1080\n", "id": 121}, {"char_len": 192, "tokens": [12994, 20, 482, 220, 15500, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 12994, 20, 198, 220, 220, 14649, 24, 198, 12, 11556, 198, 220, 220, 931, 21, 271, 931, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 20, 198, 220, 220, 14649, 24, 198, 12, 11556, 198, 220, 220, 6726, 21, 271, 6726, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 20, 198, 220, 220, 14649, 24, 198, 12, 11556, 198, 220, 220, 6726, 21, 271, 6726, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 20, 198, 220, 220, 14649, 24, 198, 12, 11556, 198, 220, 220, 2366, 21, 271, 2366, 21, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2335 - 309\n\n\nBorrow: 1\n  2335\n  0309\n- ----\n  0006\n\n0006\n\nBorrow: 0\n  2335\n  0309\n- ----\n  0026\n\n0026\n\nBorrow: 0\n  2335\n  0309\n- ----\n  0026\n\n0026\n\nBorrow: 0\n  2335\n  0309\n- ----\n  2026\n\n2026\n", "id": 122}, {"char_len": 264, "tokens": [21910, 1272, 482, 220, 12060, 22, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 21910, 1272, 198, 220, 220, 11139, 2813, 198, 12, 81049, 220, 220, 931, 2839, 271, 931, 2839, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 21910, 1272, 198, 220, 220, 11139, 2813, 198, 12, 81049, 220, 220, 931, 5495, 271, 931, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21910, 1272, 198, 220, 220, 11139, 2813, 198, 12, 81049, 220, 220, 8759, 5495, 271, 8759, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21910, 1272, 198, 220, 220, 11139, 2813, 198, 12, 81049, 220, 220, 8759, 5495, 271, 8759, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21910, 1272, 198, 220, 220, 11139, 2813, 198, 12, 81049, 220, 220, 22777, 5495, 271, 22777, 5495, 198], "tokenizer": "cl100k_base", "tokens_len": 137, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "92540 - 2077\n\n\nBorrow: 1\n  92540\n  02077\n- -----\n  00003\n\n00003\n\nBorrow: 1\n  92540\n  02077\n- -----\n  00063\n\n00063\n\nBorrow: 0\n  92540\n  02077\n- -----\n  00463\n\n00463\n\nBorrow: 0\n  92540\n  02077\n- -----\n  00463\n\n00463\n\nBorrow: 0\n  92540\n  02077\n- -----\n  90463\n\n90463\n", "id": 123}, {"char_len": 79, "tokens": [1114, 482, 220, 605, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 1114, 198, 220, 220, 605, 198, 12, 40614, 220, 220, 2589, 271, 2589, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1114, 198, 220, 220, 605, 198, 12, 40614, 220, 220, 2589, 271, 2589, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "17 - 10\n\n\nBorrow: 0\n  17\n  10\n- --\n  07\n\n07\n\nBorrow: 0\n  17\n  10\n- --\n  07\n\n07\n", "id": 124}, {"char_len": 435, "tokens": [23574, 3965, 17, 482, 220, 16884, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 23574, 3965, 17, 198, 220, 220, 931, 21040, 23, 198, 12, 39707, 220, 220, 931, 931, 19, 271, 931, 931, 19, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 23574, 3965, 17, 198, 220, 220, 931, 21040, 23, 198, 12, 39707, 220, 220, 931, 11194, 19, 271, 931, 11194, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23574, 3965, 17, 198, 220, 220, 931, 21040, 23, 198, 12, 39707, 220, 220, 931, 17248, 19, 271, 931, 17248, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23574, 3965, 17, 198, 220, 220, 931, 21040, 23, 198, 12, 39707, 220, 220, 931, 8546, 19, 271, 931, 8546, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23574, 3965, 17, 198, 220, 220, 931, 21040, 23, 198, 12, 39707, 220, 220, 11436, 8546, 19, 271, 11436, 8546, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23574, 3965, 17, 198, 220, 220, 931, 21040, 23, 198, 12, 39707, 220, 220, 22000, 8546, 19, 271, 22000, 8546, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23574, 3965, 17, 198, 220, 220, 931, 21040, 23, 198, 12, 39707, 220, 220, 23574, 8546, 19, 271, 23574, 8546, 19, 198], "tokenizer": "cl100k_base", "tokens_len": 217, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "6281502 - 328\n\n\nBorrow: 1\n  6281502\n  0000328\n- -------\n  0000004\n\n0000004\n\nBorrow: 1\n  6281502\n  0000328\n- -------\n  0000074\n\n0000074\n\nBorrow: 0\n  6281502\n  0000328\n- -------\n  0000174\n\n0000174\n\nBorrow: 0\n  6281502\n  0000328\n- -------\n  0001174\n\n0001174\n\nBorrow: 0\n  6281502\n  0000328\n- -------\n  0081174\n\n0081174\n\nBorrow: 0\n  6281502\n  0000328\n- -------\n  0281174\n\n0281174\n\nBorrow: 0\n  6281502\n  0000328\n- -------\n  6281174\n\n6281174\n", "id": 125}, {"char_len": 79, "tokens": [6028, 482, 220, 2970, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 6028, 198, 220, 220, 2970, 198, 12, 40614, 220, 220, 2839, 271, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6028, 198, 220, 220, 2970, 198, 12, 40614, 220, 220, 1032, 271, 1032, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "71 - 58\n\n\nBorrow: 1\n  71\n  58\n- --\n  03\n\n03\n\nBorrow: 0\n  71\n  58\n- --\n  13\n\n13\n", "id": 126}, {"char_len": 131, "tokens": [22754, 482, 220, 18349, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 22754, 198, 220, 220, 18349, 198, 12, 55023, 220, 220, 13858, 271, 13858, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22754, 198, 220, 220, 18349, 198, 12, 55023, 220, 220, 21602, 271, 21602, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22754, 198, 220, 220, 18349, 198, 12, 55023, 220, 220, 14815, 271, 14815, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "595 - 356\n\n\nBorrow: 1\n  595\n  356\n- ---\n  009\n\n009\n\nBorrow: 0\n  595\n  356\n- ---\n  039\n\n039\n\nBorrow: 0\n  595\n  356\n- ---\n  239\n\n239\n", "id": 127}, {"char_len": 262, "tokens": [17590, 2287, 482, 220, 1774, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 17590, 2287, 198, 220, 220, 931, 1774, 198, 12, 81049, 220, 220, 931, 1721, 271, 931, 1721, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17590, 2287, 198, 220, 220, 931, 1774, 198, 12, 81049, 220, 220, 931, 1691, 271, 931, 1691, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17590, 2287, 198, 220, 220, 931, 1774, 198, 12, 81049, 220, 220, 6726, 1691, 271, 6726, 1691, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17590, 2287, 198, 220, 220, 931, 1774, 198, 12, 81049, 220, 220, 22349, 1691, 271, 22349, 1691, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17590, 2287, 198, 220, 220, 931, 1774, 198, 12, 81049, 220, 220, 17590, 1691, 271, 17590, 1691, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "34266 - 45\n\n\nBorrow: 0\n  34266\n  00045\n- -----\n  00001\n\n00001\n\nBorrow: 0\n  34266\n  00045\n- -----\n  00021\n\n00021\n\nBorrow: 0\n  34266\n  00045\n- -----\n  00221\n\n00221\n\nBorrow: 0\n  34266\n  00045\n- -----\n  04221\n\n04221\n\nBorrow: 0\n  34266\n  00045\n- -----\n  34221\n\n34221\n", "id": 128}, {"char_len": 262, "tokens": [14261, 2075, 482, 220, 806, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 14261, 2075, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 931, 2371, 271, 931, 2371, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14261, 2075, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 931, 1227, 271, 931, 1227, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14261, 2075, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 11436, 1227, 271, 11436, 1227, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14261, 2075, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 22000, 1227, 271, 22000, 1227, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14261, 2075, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 14261, 1227, 271, 14261, 1227, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "22875 - 11\n\n\nBorrow: 0\n  22875\n  00011\n- -----\n  00004\n\n00004\n\nBorrow: 0\n  22875\n  00011\n- -----\n  00064\n\n00064\n\nBorrow: 0\n  22875\n  00011\n- -----\n  00864\n\n00864\n\nBorrow: 0\n  22875\n  00011\n- -----\n  02864\n\n02864\n\nBorrow: 0\n  22875\n  00011\n- -----\n  22864\n\n22864\n", "id": 129}, {"char_len": 1353, "tokens": [8011, 21379, 11247, 11739, 4767, 482, 220, 9423, 19, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 931, 931, 931, 931, 2437, 271, 931, 931, 931, 931, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 931, 931, 931, 931, 2983, 271, 931, 931, 931, 931, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 931, 931, 931, 11030, 2983, 271, 931, 931, 931, 11030, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 931, 931, 931, 25921, 2983, 271, 931, 931, 931, 25921, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 931, 931, 931, 10132, 2983, 271, 931, 931, 931, 10132, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 931, 931, 11030, 10132, 2983, 271, 931, 931, 11030, 10132, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 931, 931, 23835, 10132, 2983, 271, 931, 931, 23835, 10132, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 931, 931, 11247, 10132, 2983, 271, 931, 931, 11247, 10132, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 931, 11030, 11247, 10132, 2983, 271, 931, 11030, 11247, 10132, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 931, 15794, 11247, 10132, 2983, 271, 931, 15794, 11247, 10132, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 931, 21379, 11247, 10132, 2983, 271, 931, 21379, 11247, 10132, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 8759, 21379, 11247, 10132, 2983, 271, 8759, 21379, 11247, 10132, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 15901, 21379, 11247, 10132, 2983, 271, 15901, 21379, 11247, 10132, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 21379, 11247, 11739, 4767, 198, 220, 220, 931, 931, 931, 16368, 1958, 198, 12, 33658, 7233, 220, 220, 8011, 21379, 11247, 10132, 2983, 271, 8011, 21379, 11247, 10132, 2983, 198], "tokenizer": "cl100k_base", "tokens_len": 556, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "11461616616976 - 1334\n\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00000000000002\n\n00000000000002\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00000000000042\n\n00000000000042\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00000000000642\n\n00000000000642\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00000000005642\n\n00000000005642\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00000000015642\n\n00000000015642\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00000000615642\n\n00000000615642\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00000006615642\n\n00000006615642\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00000016615642\n\n00000016615642\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00000616615642\n\n00000616615642\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00001616615642\n\n00001616615642\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00061616615642\n\n00061616615642\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  00461616615642\n\n00461616615642\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  01461616615642\n\n01461616615642\n\nBorrow: 0\n  11461616616976\n  00000000001334\n- --------------\n  11461616615642\n\n11461616615642\n", "id": 130}, {"char_len": 262, "tokens": [23105, 6281, 482, 220, 3226, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 23105, 6281, 198, 220, 220, 931, 3226, 198, 12, 81049, 220, 220, 931, 2589, 271, 931, 2589, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23105, 6281, 198, 220, 220, 931, 3226, 198, 12, 81049, 220, 220, 931, 1806, 271, 931, 1806, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23105, 6281, 198, 220, 220, 931, 3226, 198, 12, 81049, 220, 220, 6726, 1806, 271, 6726, 1806, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23105, 6281, 198, 220, 220, 931, 3226, 198, 12, 81049, 220, 220, 18642, 1806, 271, 18642, 1806, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23105, 6281, 198, 220, 220, 931, 3226, 198, 12, 81049, 220, 220, 23105, 1806, 271, 23105, 1806, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "82294 - 57\n\n\nBorrow: 1\n  82294\n  00057\n- -----\n  00007\n\n00007\n\nBorrow: 0\n  82294\n  00057\n- -----\n  00037\n\n00037\n\nBorrow: 0\n  82294\n  00057\n- -----\n  00237\n\n00237\n\nBorrow: 0\n  82294\n  00057\n- -----\n  02237\n\n02237\n\nBorrow: 0\n  82294\n  00057\n- -----\n  82237\n\n82237\n", "id": 131}, {"char_len": 1191, "tokens": [7507, 17690, 26661, 24777, 17, 482, 220, 11128, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 931, 18, 271, 931, 931, 931, 931, 18, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 13858, 18, 271, 931, 931, 931, 13858, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 27407, 18, 271, 931, 931, 931, 27407, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 25622, 18, 271, 931, 931, 931, 25622, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 931, 931, 11436, 25622, 18, 271, 931, 931, 11436, 25622, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 931, 931, 26661, 25622, 18, 271, 931, 931, 26661, 25622, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 931, 931, 26661, 25622, 18, 271, 931, 931, 26661, 25622, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 931, 11436, 26661, 25622, 18, 271, 931, 11436, 26661, 25622, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 931, 26983, 26661, 25622, 18, 271, 931, 26983, 26661, 25622, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 931, 17690, 26661, 25622, 18, 271, 931, 17690, 26661, 25622, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 8759, 17690, 26661, 25622, 18, 271, 8759, 17690, 26661, 25622, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 8759, 17690, 26661, 25622, 18, 271, 8759, 17690, 26661, 25622, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7507, 17690, 26661, 24777, 17, 198, 220, 220, 931, 931, 931, 17248, 24, 198, 12, 33658, 7058, 220, 220, 7507, 17690, 26661, 25622, 18, 271, 7507, 17690, 26661, 25622, 18, 198], "tokenizer": "cl100k_base", "tokens_len": 516, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "4042980688972 - 179\n\n\nBorrow: 1\n  4042980688972\n  0000000000179\n- -------------\n  0000000000003\n\n0000000000003\n\nBorrow: 1\n  4042980688972\n  0000000000179\n- -------------\n  0000000000093\n\n0000000000093\n\nBorrow: 0\n  4042980688972\n  0000000000179\n- -------------\n  0000000000793\n\n0000000000793\n\nBorrow: 0\n  4042980688972\n  0000000000179\n- -------------\n  0000000008793\n\n0000000008793\n\nBorrow: 0\n  4042980688972\n  0000000000179\n- -------------\n  0000000088793\n\n0000000088793\n\nBorrow: 0\n  4042980688972\n  0000000000179\n- -------------\n  0000000688793\n\n0000000688793\n\nBorrow: 0\n  4042980688972\n  0000000000179\n- -------------\n  0000000688793\n\n0000000688793\n\nBorrow: 0\n  4042980688972\n  0000000000179\n- -------------\n  0000080688793\n\n0000080688793\n\nBorrow: 0\n  4042980688972\n  0000000000179\n- -------------\n  0000980688793\n\n0000980688793\n\nBorrow: 0\n  4042980688972\n  0000000000179\n- -------------\n  0002980688793\n\n0002980688793\n\nBorrow: 0\n  4042980688972\n  0000000000179\n- -------------\n  0042980688793\n\n0042980688793\n\nBorrow: 0\n  4042980688972\n  0000000000179\n- -------------\n  0042980688793\n\n0042980688793\n\nBorrow: 0\n  4042980688972\n  0000000000179\n- -------------\n  4042980688793\n\n4042980688793\n", "id": 132}, {"char_len": 191, "tokens": [7007, 18, 482, 220, 5547, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 7007, 18, 198, 220, 220, 11030, 16, 198, 12, 11556, 198, 220, 220, 931, 17, 271, 931, 17, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 7007, 18, 198, 220, 220, 11030, 16, 198, 12, 11556, 198, 220, 220, 8759, 17, 271, 8759, 17, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 7007, 18, 198, 220, 220, 11030, 16, 198, 12, 11556, 198, 220, 220, 26195, 17, 271, 26195, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7007, 18, 198, 220, 220, 11030, 16, 198, 12, 11556, 198, 220, 220, 25392, 17, 271, 25392, 17, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "7003 - 61\n\n\nBorrow: 0\n  7003\n  0061\n- ----\n  0002\n\n0002\n\nBorrow: 1\n  7003\n  0061\n- ----\n  0042\n\n0042\n\nBorrow: 1\n  7003\n  0061\n- ----\n  0942\n\n0942\n\nBorrow: 0\n  7003\n  0061\n- ----\n  6942\n\n6942\n", "id": 133}, {"char_len": 343, "tokens": [25594, 21897, 482, 220, 868, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 25594, 21897, 198, 220, 220, 931, 16037, 198, 12, 11556, 7233, 220, 220, 931, 6726, 271, 931, 6726, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25594, 21897, 198, 220, 220, 931, 16037, 198, 12, 11556, 7233, 220, 220, 931, 23439, 271, 931, 23439, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25594, 21897, 198, 220, 220, 931, 16037, 198, 12, 11556, 7233, 220, 220, 931, 22768, 271, 931, 22768, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25594, 21897, 198, 220, 220, 931, 16037, 198, 12, 11556, 7233, 220, 220, 11030, 22768, 271, 11030, 22768, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25594, 21897, 198, 220, 220, 931, 16037, 198, 12, 11556, 7233, 220, 220, 24222, 22768, 271, 24222, 22768, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25594, 21897, 198, 220, 220, 931, 16037, 198, 12, 11556, 7233, 220, 220, 25594, 22768, 271, 25594, 22768, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "746687 - 15\n\n\nBorrow: 0\n  746687\n  000015\n- ------\n  000002\n\n000002\n\nBorrow: 0\n  746687\n  000015\n- ------\n  000072\n\n000072\n\nBorrow: 0\n  746687\n  000015\n- ------\n  000672\n\n000672\n\nBorrow: 0\n  746687\n  000015\n- ------\n  006672\n\n006672\n\nBorrow: 0\n  746687\n  000015\n- ------\n  046672\n\n046672\n\nBorrow: 0\n  746687\n  000015\n- ------\n  746672\n\n746672\n", "id": 134}, {"char_len": 434, "tokens": [6849, 22468, 19, 482, 220, 2614, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 6849, 22468, 19, 198, 220, 220, 931, 11030, 23, 198, 12, 39707, 220, 220, 931, 931, 21, 271, 931, 931, 21, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 6849, 22468, 19, 198, 220, 220, 931, 11030, 23, 198, 12, 39707, 220, 220, 931, 8504, 21, 271, 931, 8504, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6849, 22468, 19, 198, 220, 220, 931, 11030, 23, 198, 12, 39707, 220, 220, 931, 26478, 21, 271, 931, 26478, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6849, 22468, 19, 198, 220, 220, 931, 11030, 23, 198, 12, 39707, 220, 220, 931, 20943, 21, 271, 931, 20943, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6849, 22468, 19, 198, 220, 220, 931, 11030, 23, 198, 12, 39707, 220, 220, 8759, 20943, 21, 271, 8759, 20943, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6849, 22468, 19, 198, 220, 220, 931, 11030, 23, 198, 12, 39707, 220, 220, 8759, 20943, 21, 271, 8759, 20943, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6849, 22468, 19, 198, 220, 220, 931, 11030, 23, 198, 12, 39707, 220, 220, 6849, 20943, 21, 271, 6849, 20943, 21, 198], "tokenizer": "cl100k_base", "tokens_len": 217, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1045724 - 68\n\n\nBorrow: 1\n  1045724\n  0000068\n- -------\n  0000006\n\n0000006\n\nBorrow: 1\n  1045724\n  0000068\n- -------\n  0000056\n\n0000056\n\nBorrow: 0\n  1045724\n  0000068\n- -------\n  0000656\n\n0000656\n\nBorrow: 0\n  1045724\n  0000068\n- -------\n  0005656\n\n0005656\n\nBorrow: 0\n  1045724\n  0000068\n- -------\n  0045656\n\n0045656\n\nBorrow: 0\n  1045724\n  0000068\n- -------\n  0045656\n\n0045656\n\nBorrow: 0\n  1045724\n  0000068\n- -------\n  1045656\n\n1045656\n", "id": 135}, {"char_len": 191, "tokens": [8011, 17, 482, 220, 845, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 8011, 17, 198, 220, 220, 4119, 21, 198, 12, 11556, 198, 220, 220, 931, 21, 271, 931, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 17, 198, 220, 220, 4119, 21, 198, 12, 11556, 198, 220, 220, 6726, 21, 271, 6726, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 17, 198, 220, 220, 4119, 21, 198, 12, 11556, 198, 220, 220, 11531, 21, 271, 11531, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 17, 198, 220, 220, 4119, 21, 198, 12, 11556, 198, 220, 220, 7261, 21, 271, 7261, 21, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1142 - 16\n\n\nBorrow: 1\n  1142\n  0016\n- ----\n  0006\n\n0006\n\nBorrow: 0\n  1142\n  0016\n- ----\n  0026\n\n0026\n\nBorrow: 0\n  1142\n  0016\n- ----\n  0126\n\n0126\n\nBorrow: 0\n  1142\n  0016\n- ----\n  1126\n\n1126\n", "id": 136}, {"char_len": 130, "tokens": [15828, 482, 220, 717, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 15828, 198, 220, 220, 11531, 198, 12, 55023, 220, 220, 13858, 271, 13858, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15828, 198, 220, 220, 11531, 198, 12, 55023, 220, 220, 27033, 271, 27033, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15828, 198, 220, 220, 11531, 198, 12, 55023, 220, 220, 15537, 271, 15537, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "271 - 12\n\n\nBorrow: 1\n  271\n  012\n- ---\n  009\n\n009\n\nBorrow: 0\n  271\n  012\n- ---\n  059\n\n059\n\nBorrow: 0\n  271\n  012\n- ---\n  259\n\n259\n", "id": 137}, {"char_len": 536, "tokens": [10895, 18572, 3174, 482, 220, 16707, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10895, 18572, 3174, 198, 220, 220, 931, 6268, 2148, 198, 12, 90238, 220, 220, 931, 931, 410, 271, 931, 931, 410, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10895, 18572, 3174, 198, 220, 220, 931, 6268, 2148, 198, 12, 90238, 220, 220, 931, 931, 605, 271, 931, 931, 605, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10895, 18572, 3174, 198, 220, 220, 931, 6268, 2148, 198, 12, 90238, 220, 220, 931, 11030, 605, 271, 931, 11030, 605, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10895, 18572, 3174, 198, 220, 220, 931, 6268, 2148, 198, 12, 90238, 220, 220, 931, 28153, 605, 271, 931, 28153, 605, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10895, 18572, 3174, 198, 220, 220, 931, 6268, 2148, 198, 12, 90238, 220, 220, 931, 19615, 605, 271, 931, 19615, 605, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10895, 18572, 3174, 198, 220, 220, 931, 6268, 2148, 198, 12, 90238, 220, 220, 11194, 19615, 605, 271, 11194, 19615, 605, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10895, 18572, 3174, 198, 220, 220, 931, 6268, 2148, 198, 12, 90238, 220, 220, 26866, 19615, 605, 271, 26866, 19615, 605, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10895, 18572, 3174, 198, 220, 220, 931, 6268, 2148, 198, 12, 90238, 220, 220, 10895, 19615, 605, 271, 10895, 19615, 605, 198], "tokenizer": "cl100k_base", "tokens_len": 247, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "15739941 - 331\n\n\nBorrow: 0\n  15739941\n  00000331\n- --------\n  00000000\n\n00000000\n\nBorrow: 0\n  15739941\n  00000331\n- --------\n  00000010\n\n00000010\n\nBorrow: 0\n  15739941\n  00000331\n- --------\n  00000610\n\n00000610\n\nBorrow: 0\n  15739941\n  00000331\n- --------\n  00009610\n\n00009610\n\nBorrow: 0\n  15739941\n  00000331\n- --------\n  00039610\n\n00039610\n\nBorrow: 0\n  15739941\n  00000331\n- --------\n  00739610\n\n00739610\n\nBorrow: 0\n  15739941\n  00000331\n- --------\n  05739610\n\n05739610\n\nBorrow: 0\n  15739941\n  00000331\n- --------\n  15739610\n\n15739610\n", "id": 138}, {"char_len": 263, "tokens": [6889, 1758, 482, 220, 7743, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 6889, 1758, 198, 220, 220, 4119, 2545, 198, 12, 81049, 220, 220, 931, 2705, 271, 931, 2705, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 1758, 198, 220, 220, 4119, 2545, 198, 12, 81049, 220, 220, 931, 1627, 271, 931, 1627, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 1758, 198, 220, 220, 4119, 2545, 198, 12, 81049, 220, 220, 6726, 1627, 271, 6726, 1627, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 1758, 198, 220, 220, 4119, 2545, 198, 12, 81049, 220, 220, 6726, 1627, 271, 6726, 1627, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 1758, 198, 220, 220, 4119, 2545, 198, 12, 81049, 220, 220, 4278, 1627, 271, 4278, 1627, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "10335 - 109\n\n\nBorrow: 1\n  10335\n  00109\n- -----\n  00006\n\n00006\n\nBorrow: 0\n  10335\n  00109\n- -----\n  00026\n\n00026\n\nBorrow: 0\n  10335\n  00109\n- -----\n  00226\n\n00226\n\nBorrow: 0\n  10335\n  00109\n- -----\n  00226\n\n00226\n\nBorrow: 0\n  10335\n  00109\n- -----\n  10226\n\n10226\n", "id": 139}, {"char_len": 191, "tokens": [23736, 20, 482, 220, 777, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 23736, 20, 198, 220, 220, 4119, 24, 198, 12, 11556, 198, 220, 220, 931, 21, 271, 931, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23736, 20, 198, 220, 220, 4119, 24, 198, 12, 11556, 198, 220, 220, 4119, 21, 271, 4119, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23736, 20, 198, 220, 220, 4119, 24, 198, 12, 11556, 198, 220, 220, 18887, 21, 271, 18887, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23736, 20, 198, 220, 220, 4119, 24, 198, 12, 11556, 198, 220, 220, 21729, 21, 271, 21729, 21, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "6335 - 19\n\n\nBorrow: 1\n  6335\n  0019\n- ----\n  0006\n\n0006\n\nBorrow: 0\n  6335\n  0019\n- ----\n  0016\n\n0016\n\nBorrow: 0\n  6335\n  0019\n- ----\n  0316\n\n0316\n\nBorrow: 0\n  6335\n  0019\n- ----\n  6316\n\n6316\n", "id": 140}, {"char_len": 262, "tokens": [9795, 4643, 482, 220, 2148, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 9795, 4643, 198, 220, 220, 931, 2148, 198, 12, 81049, 220, 220, 931, 2318, 271, 931, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9795, 4643, 198, 220, 220, 931, 2148, 198, 12, 81049, 220, 220, 931, 2166, 271, 931, 2166, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9795, 4643, 198, 220, 220, 931, 2148, 198, 12, 81049, 220, 220, 11030, 2166, 271, 11030, 2166, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9795, 4643, 198, 220, 220, 931, 2148, 198, 12, 81049, 220, 220, 23110, 2166, 271, 23110, 2166, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9795, 4643, 198, 220, 220, 931, 2148, 198, 12, 81049, 220, 220, 9795, 2166, 271, 9795, 2166, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "13679 - 31\n\n\nBorrow: 0\n  13679\n  00031\n- -----\n  00008\n\n00008\n\nBorrow: 0\n  13679\n  00031\n- -----\n  00048\n\n00048\n\nBorrow: 0\n  13679\n  00031\n- -----\n  00648\n\n00648\n\nBorrow: 0\n  13679\n  00031\n- -----\n  03648\n\n03648\n\nBorrow: 0\n  13679\n  00031\n- -----\n  13648\n\n13648\n", "id": 141}, {"char_len": 769, "tokens": [22005, 20417, 5067, 23, 482, 220, 9870, 21, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 22005, 20417, 5067, 23, 198, 220, 220, 931, 931, 9870, 21, 198, 12, 31423, 220, 220, 931, 931, 931, 17, 271, 931, 931, 931, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22005, 20417, 5067, 23, 198, 220, 220, 931, 931, 9870, 21, 198, 12, 31423, 220, 220, 931, 931, 931, 17, 271, 931, 931, 931, 17, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22005, 20417, 5067, 23, 198, 220, 220, 931, 931, 9870, 21, 198, 12, 31423, 220, 220, 931, 931, 17819, 17, 271, 931, 931, 17819, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22005, 20417, 5067, 23, 198, 220, 220, 931, 931, 9870, 21, 198, 12, 31423, 220, 220, 931, 931, 14648, 17, 271, 931, 931, 14648, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22005, 20417, 5067, 23, 198, 220, 220, 931, 931, 9870, 21, 198, 12, 31423, 220, 220, 931, 8759, 14648, 17, 271, 931, 8759, 14648, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22005, 20417, 5067, 23, 198, 220, 220, 931, 931, 9870, 21, 198, 12, 31423, 220, 220, 931, 8759, 14648, 17, 271, 931, 8759, 14648, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22005, 20417, 5067, 23, 198, 220, 220, 931, 931, 9870, 21, 198, 12, 31423, 220, 220, 931, 20417, 14648, 17, 271, 931, 20417, 14648, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22005, 20417, 5067, 23, 198, 220, 220, 931, 931, 9870, 21, 198, 12, 31423, 220, 220, 4119, 20417, 14648, 17, 271, 4119, 20417, 14648, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22005, 20417, 5067, 23, 198, 220, 220, 931, 931, 9870, 21, 198, 12, 31423, 220, 220, 24508, 20417, 14648, 17, 271, 24508, 20417, 14648, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22005, 20417, 5067, 23, 198, 220, 220, 931, 931, 9870, 21, 198, 12, 31423, 220, 220, 22005, 20417, 14648, 17, 271, 22005, 20417, 14648, 17, 198], "tokenizer": "cl100k_base", "tokens_len": 349, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5718046008 - 2306\n\n\nBorrow: 0\n  5718046008\n  0000002306\n- ----------\n  0000000002\n\n0000000002\n\nBorrow: 0\n  5718046008\n  0000002306\n- ----------\n  0000000002\n\n0000000002\n\nBorrow: 1\n  5718046008\n  0000002306\n- ----------\n  0000000702\n\n0000000702\n\nBorrow: 0\n  5718046008\n  0000002306\n- ----------\n  0000003702\n\n0000003702\n\nBorrow: 0\n  5718046008\n  0000002306\n- ----------\n  0000043702\n\n0000043702\n\nBorrow: 0\n  5718046008\n  0000002306\n- ----------\n  0000043702\n\n0000043702\n\nBorrow: 0\n  5718046008\n  0000002306\n- ----------\n  0008043702\n\n0008043702\n\nBorrow: 0\n  5718046008\n  0000002306\n- ----------\n  0018043702\n\n0018043702\n\nBorrow: 0\n  5718046008\n  0000002306\n- ----------\n  0718043702\n\n0718043702\n\nBorrow: 0\n  5718046008\n  0000002306\n- ----------\n  5718043702\n\n5718043702\n", "id": 142}, {"char_len": 434, "tokens": [17609, 18572, 19, 482, 220, 6069, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 17609, 18572, 19, 198, 220, 220, 931, 11436, 18, 198, 12, 39707, 220, 220, 931, 931, 16, 271, 931, 931, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17609, 18572, 19, 198, 220, 220, 931, 11436, 18, 198, 12, 39707, 220, 220, 931, 4119, 16, 271, 931, 4119, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17609, 18572, 19, 198, 220, 220, 931, 11436, 18, 198, 12, 39707, 220, 220, 931, 24443, 16, 271, 931, 24443, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17609, 18572, 19, 198, 220, 220, 931, 11436, 18, 198, 12, 39707, 220, 220, 931, 19631, 16, 271, 931, 19631, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17609, 18572, 19, 198, 220, 220, 931, 11436, 18, 198, 12, 39707, 220, 220, 11194, 19631, 16, 271, 11194, 19631, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17609, 18572, 19, 198, 220, 220, 931, 11436, 18, 198, 12, 39707, 220, 220, 23587, 19631, 16, 271, 23587, 19631, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17609, 18572, 19, 198, 220, 220, 931, 11436, 18, 198, 12, 39707, 220, 220, 17609, 19631, 16, 271, 17609, 19631, 16, 198], "tokenizer": "cl100k_base", "tokens_len": 217, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "3373994 - 83\n\n\nBorrow: 0\n  3373994\n  0000083\n- -------\n  0000001\n\n0000001\n\nBorrow: 0\n  3373994\n  0000083\n- -------\n  0000011\n\n0000011\n\nBorrow: 0\n  3373994\n  0000083\n- -------\n  0000911\n\n0000911\n\nBorrow: 0\n  3373994\n  0000083\n- -------\n  0003911\n\n0003911\n\nBorrow: 0\n  3373994\n  0000083\n- -------\n  0073911\n\n0073911\n\nBorrow: 0\n  3373994\n  0000083\n- -------\n  0373911\n\n0373911\n\nBorrow: 0\n  3373994\n  0000083\n- -------\n  3373911\n\n3373911\n", "id": 143}, {"char_len": 79, "tokens": [5547, 482, 220, 1758, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 5547, 198, 220, 220, 1758, 198, 12, 40614, 220, 220, 2705, 271, 2705, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5547, 198, 220, 220, 1758, 198, 12, 40614, 220, 220, 1627, 271, 1627, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "61 - 35\n\n\nBorrow: 1\n  61\n  35\n- --\n  06\n\n06\n\nBorrow: 0\n  61\n  35\n- --\n  26\n\n26\n", "id": 144}, {"char_len": 1485, "tokens": [18902, 25, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 45, 4489, 3883, 512, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 45, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 45, 340, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 45, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 45, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 45, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 1192, 1209, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 45, 1192, 7, 15, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 45, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 4489, 3883, 512, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 45, 340, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 45, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 45, 1192, 1209, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 1192, 7, 15, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 19789, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 7861, 12264, 101, 320, 83193, 16, 340, 7, 83193, 16, 8, 12264, 101, 11861, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 595, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 16, 8, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 45, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 83193, 45, 8, 12264, 101, 320, 16, 75078, 220, 15, 6054, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 45, 6054, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 45, 6054, 7, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 6054, 15, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 6054, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 7861, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 11861, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 595, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 7861, 12264, 101, 220, 15, 198, 6774, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 16, 340, 6774, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 45, 595, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 1819, 83193, 45, 8, 12264, 101, 320, 16, 75078, 220, 15, 7861, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 45, 7861, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 45, 7861, 12264, 101, 320, 83193, 16, 340, 7, 15, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 7861, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 11861, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 595, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 6774, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 45, 8, 12264, 101, 320, 83193, 16, 6054, 7, 83193, 16, 8, 12264, 101, 11861, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 595, 12264, 101, 220, 15, 340, 7, 83193, 16, 8, 12264, 101, 11861, 83193, 45, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 15, 12264, 101, 320, 83193, 45, 595, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 16, 8, 12264, 101, 11861, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 45, 595, 12264, 101, 320, 83193, 16, 1192, 15, 12264, 101, 11861, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 45, 595, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 1819, 15, 12264, 101, 320, 83193, 45, 595, 12264, 101, 320, 83193, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 1041, "data_type": "boolean", "txt": "Original: ((\u00ac1) \u2228 (\u00ac1)) \u2228 ((0 \u2227 1) \u2228 (\u00acN))\n\nOptions:\n((0 \u2227 1) \u2228 (\u00acN)) \u2228 ((\u00ac1) \u2228 (\u00ac1))\n(((\u00ac1) \u2228 (\u00ac1)) \u2228 (0 \u2227 1)) \u2228 (\u00acN)\n(\u00ac1) \u2228 ((\u00ac1) \u2228 ((0 \u2227 1) \u2228 (\u00acN)))\n((\u00ac1) \u2228 (\u00ac1)) \u2228 ((\u00acN) \u2228 (0 \u2227 1))\n((\u00ac1) \u2228 (\u00ac1)) \u2228 (0 \u2228 (\u00acN))\n((\u00ac1) \u2228 (\u00ac1)) \u2228 ((1 \u2227 0) \u2228 (\u00acN))\n((\u00ac1) \u2228 0) \u2228 ((0 \u2227 1) \u2228 (\u00acN))\n(0 \u2228 (\u00ac1)) \u2228 ((0 \u2227 1) \u2228 (\u00acN))\nChosen: ((\u00ac1) \u2228 (\u00ac1)) \u2228 ((1 \u2227 0) \u2228 (\u00acN))\n\nOptions:\n((1 \u2227 0) \u2228 (\u00acN)) \u2228 ((\u00ac1) \u2228 (\u00ac1))\n(((\u00ac1) \u2228 (\u00ac1)) \u2228 (1 \u2227 0)) \u2228 (\u00acN)\n(\u00ac1) \u2228 ((\u00ac1) \u2228 ((1 \u2227 0) \u2228 (\u00acN)))\n((\u00ac1) \u2228 (\u00ac1)) \u2228 ((\u00acN) \u2228 (1 \u2227 0))\n((\u00ac1) \u2228 (\u00ac1)) \u2228 (0 \u2228 (\u00acN))\n((\u00ac1) \u2228 0) \u2228 ((1 \u2227 0) \u2228 (\u00acN))\n(0 \u2228 (\u00ac1)) \u2228 ((1 \u2227 0) \u2228 (\u00acN))\nChosen: (\u00ac1) \u2228 ((\u00ac1) \u2228 ((1 \u2227 0) \u2228 (\u00acN)))\n\nOptions:\n((\u00ac1) \u2228 ((1 \u2227 0) \u2228 (\u00acN))) \u2228 (\u00ac1)\n(\u00ac1) \u2228 (((1 \u2227 0) \u2228 (\u00acN)) \u2228 (\u00ac1))\n(\u00ac1) \u2228 (((\u00ac1) \u2228 (1 \u2227 0)) \u2228 (\u00acN))\n(\u00ac1) \u2228 ((\u00ac1) \u2228 ((\u00acN) \u2228 (1 \u2227 0)))\n(\u00ac1) \u2228 ((\u00ac1) \u2228 (0 \u2228 (\u00acN)))\n(\u00ac1) \u2228 ((\u00ac1) \u2228 ((0 \u2227 1) \u2228 (\u00acN)))\n(\u00ac1) \u2228 (0 \u2228 ((1 \u2227 0) \u2228 (\u00acN)))\n0 \u2228 ((\u00ac1) \u2228 ((1 \u2227 0) \u2228 (\u00acN)))\nChosen: ((\u00ac1) \u2228 ((1 \u2227 0) \u2228 (\u00acN))) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 (((1 \u2227 0) \u2228 (\u00acN)) \u2228 (\u00ac1))\n((\u00ac1) \u2228 ((1 \u2227 0) \u2228 (\u00acN))) \u2228 0\n(((1 \u2227 0) \u2228 (\u00acN)) \u2228 (\u00ac1)) \u2228 (\u00ac1)\n(((\u00ac1) \u2228 (1 \u2227 0)) \u2228 (\u00acN)) \u2228 (\u00ac1)\n((\u00ac1) \u2228 ((\u00acN) \u2228 (1 \u2227 0))) \u2228 (\u00ac1)\n((\u00ac1) \u2228 (0 \u2228 (\u00acN))) \u2228 (\u00ac1)\n((\u00ac1) \u2228 ((0 \u2227 1) \u2228 (\u00acN))) \u2228 (\u00ac1)\n(0 \u2228 ((1 \u2227 0) \u2228 (\u00acN))) \u2228 (\u00ac1)\nChosen: (\u00ac1) \u2228 (((1 \u2227 0) \u2228 (\u00acN)) \u2228 (\u00ac1))\n\nOptions:\n(((1 \u2227 0) \u2228 (\u00acN)) \u2228 (\u00ac1)) \u2228 (\u00ac1)\n(\u00ac1) \u2228 ((1 \u2227 0) \u2228 ((\u00acN) \u2228 (\u00ac1)))\n(\u00ac1) \u2228 (((1 \u2227 0) \u2228 (\u00acN)) \u2228 0)\n(\u00ac1) \u2228 (((\u00acN) \u2228 (1 \u2227 0)) \u2228 (\u00ac1))\n(\u00ac1) \u2228 ((0 \u2228 (\u00acN)) \u2228 (\u00ac1))\n(\u00ac1) \u2228 (((0 \u2227 1) \u2228 (\u00acN)) \u2228 (\u00ac1))\n0 \u2228 (((1 \u2227 0) \u2228 (\u00acN)) \u2228 (\u00ac1))\nChosen: (\u00ac1) \u2228 ((0 \u2228 (\u00acN)) \u2228 (\u00ac1))", "id": 145}, {"char_len": 1059, "tokens": [18902, 25, 1819, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 83193, 56, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 1192, 6774, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 320, 83193, 56, 595, 12264, 101, 11861, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 320, 15, 12264, 101, 220, 15, 1192, 1209, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 56, 1192, 1209, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 11861, 83193, 56, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 1209, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 220, 15, 340, 1209, 16, 12264, 101, 816, 8, 12264, 101, 320, 83193, 56, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 6774, 83193, 56, 8, 12264, 101, 220, 16, 8, 12264, 101, 816, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 83193, 56, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 83193, 56, 8, 12264, 101, 320, 56, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 83193, 56, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 1192, 6774, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 320, 83193, 56, 595, 12264, 101, 11861, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 220, 15, 340, 1209, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 320, 83193, 56, 340, 1209, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 320, 15, 12264, 101, 320, 83193, 56, 1192, 1209, 16, 12264, 101, 816, 8, 12264, 101, 320, 83193, 56, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 220, 15, 340, 6774, 83193, 56, 8, 12264, 101, 220, 16, 8, 12264, 101, 816, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 220, 15, 340, 1209, 83193, 56, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 220, 15, 340, 1209, 83193, 56, 8, 12264, 101, 320, 56, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 75078, 320, 83193, 56, 696, 3883, 512, 7, 83193, 56, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 16, 12264, 101, 816, 1192, 1209, 16, 12264, 101, 816, 8, 12264, 101, 320, 83193, 56, 595, 75078, 320, 83193, 56, 340, 6774, 83193, 56, 8, 12264, 101, 220, 16, 8, 12264, 101, 816, 8, 75078, 320, 83193, 56, 340, 1209, 83193, 56, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 56, 340, 1209, 83193, 56, 8, 12264, 101, 320, 56, 12264, 101, 220, 16, 595, 75078, 320, 83193, 56, 340, 1163, 8477, 25, 11861, 83193, 56, 8, 12264, 101, 220, 16, 8, 12264, 101, 816, 8, 75078, 320, 83193, 56, 696, 3883, 512, 7, 83193, 56, 8, 75078, 11861, 83193, 56, 8, 12264, 101, 220, 16, 8, 12264, 101, 816, 340, 20818, 12264, 101, 1819, 83193, 56, 8, 12264, 101, 220, 16, 595, 75078, 320, 83193, 56, 340, 7, 16, 12264, 101, 816, 8, 75078, 320, 83193, 56, 340, 1209, 16, 12264, 101, 320, 83193, 56, 595, 12264, 101, 816, 8, 75078, 320, 83193, 56, 340, 1163, 8477, 25, 320, 16, 12264, 101, 816, 8, 75078, 320, 83193, 56, 696, 3883, 512, 7, 83193, 56, 8, 75078, 320, 16, 12264, 101, 816, 340, 16, 75078, 320, 83193, 56, 340, 20818, 12264, 101, 220, 16, 8, 75078, 320, 83193, 56, 340, 1163, 8477, 25, 220, 16, 75078, 320, 83193, 56, 8], "tokenizer": "cl100k_base", "tokens_len": 728, "data_type": "boolean", "txt": "Original: ((\u00acY) \u2228 (1 \u2228 Y)) \u2227 ((\u00acY) \u2228 (0 \u2228 0))\n\nOptions:\n((\u00acY) \u2228 (0 \u2228 0)) \u2227 ((\u00acY) \u2228 (1 \u2228 Y))\n(((\u00acY) \u2228 (1 \u2228 Y)) \u2227 (\u00acY)) \u2228 (((\u00acY) \u2228 (1 \u2228 Y)) \u2227 (0 \u2228 0))\n((\u00acY) \u2228 (1 \u2228 Y)) \u2227 ((0 \u2228 0) \u2228 (\u00acY))\n((\u00acY) \u2228 (1 \u2228 Y)) \u2227 (((\u00acY) \u2228 0) \u2228 0)\n((\u00acY) \u2228 (1 \u2228 Y)) \u2227 ((\u00acY) \u2228 0)\n((1 \u2228 Y) \u2228 (\u00acY)) \u2227 ((\u00acY) \u2228 (0 \u2228 0))\n(((\u00acY) \u2228 1) \u2228 Y) \u2227 ((\u00acY) \u2228 (0 \u2228 0))\n((\u00acY) \u2228 1) \u2227 ((\u00acY) \u2228 (0 \u2228 0))\n((\u00acY) \u2228 (Y \u2228 1)) \u2227 ((\u00acY) \u2228 (0 \u2228 0))\nChosen: ((\u00acY) \u2228 (1 \u2228 Y)) \u2227 ((\u00acY) \u2228 0)\n\nOptions:\n((\u00acY) \u2228 0) \u2227 ((\u00acY) \u2228 (1 \u2228 Y))\n(((\u00acY) \u2228 (1 \u2228 Y)) \u2227 (\u00acY)) \u2228 (((\u00acY) \u2228 (1 \u2228 Y)) \u2227 0)\n((\u00acY) \u2228 (1 \u2228 Y)) \u2227 (\u00acY)\n((\u00acY) \u2228 (1 \u2228 Y)) \u2227 (0 \u2228 (\u00acY))\n((1 \u2228 Y) \u2228 (\u00acY)) \u2227 ((\u00acY) \u2228 0)\n(((\u00acY) \u2228 1) \u2228 Y) \u2227 ((\u00acY) \u2228 0)\n((\u00acY) \u2228 1) \u2227 ((\u00acY) \u2228 0)\n((\u00acY) \u2228 (Y \u2228 1)) \u2227 ((\u00acY) \u2228 0)\nChosen: ((\u00acY) \u2228 (1 \u2228 Y)) \u2227 (\u00acY)\n\nOptions:\n(\u00acY) \u2227 ((\u00acY) \u2228 (1 \u2228 Y))\n((1 \u2228 Y) \u2228 (\u00acY)) \u2227 (\u00acY)\n(((\u00acY) \u2228 1) \u2228 Y) \u2227 (\u00acY)\n((\u00acY) \u2228 1) \u2227 (\u00acY)\n((\u00acY) \u2228 (Y \u2228 1)) \u2227 (\u00acY)\nChosen: (((\u00acY) \u2228 1) \u2228 Y) \u2227 (\u00acY)\n\nOptions:\n(\u00acY) \u2227 (((\u00acY) \u2228 1) \u2228 Y)\n(Y \u2228 ((\u00acY) \u2228 1)) \u2227 (\u00acY)\n(1 \u2228 Y) \u2227 (\u00acY)\n((1 \u2228 (\u00acY)) \u2228 Y) \u2227 (\u00acY)\nChosen: (1 \u2228 Y) \u2227 (\u00acY)\n\nOptions:\n(\u00acY) \u2227 (1 \u2228 Y)\n1 \u2227 (\u00acY)\n(Y \u2228 1) \u2227 (\u00acY)\nChosen: 1 \u2227 (\u00acY)", "id": 146}, {"char_len": 1200, "tokens": [18902, 25, 1819, 16, 75078, 220, 16, 8, 75078, 320, 37, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 50, 12264, 101, 328, 4489, 3883, 512, 7, 83193, 7, 50, 12264, 101, 328, 595, 75078, 1819, 16, 75078, 220, 16, 8, 75078, 320, 37, 12264, 101, 220, 15, 1192, 7, 16, 75078, 220, 16, 8, 75078, 1819, 37, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 50, 12264, 101, 328, 6054, 1209, 16, 75078, 220, 16, 8, 75078, 320, 37, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 50, 8, 75078, 320, 83193, 50, 1192, 1209, 16, 75078, 220, 16, 8, 75078, 320, 37, 12264, 101, 220, 15, 595, 75078, 320, 83193, 50, 340, 1209, 37, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 7, 50, 12264, 101, 328, 1192, 7, 16, 75078, 320, 16, 75078, 320, 37, 12264, 101, 220, 15, 7861, 75078, 320, 83193, 7, 50, 12264, 101, 328, 1192, 6774, 16, 75078, 220, 16, 8, 75078, 435, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 75078, 220, 15, 595, 75078, 320, 83193, 7, 50, 12264, 101, 328, 1192, 1209, 16, 75078, 220, 16, 8, 75078, 435, 8, 75078, 320, 83193, 7, 50, 12264, 101, 328, 1192, 1209, 16, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 435, 595, 75078, 320, 83193, 7, 50, 12264, 101, 328, 1192, 7, 16, 75078, 320, 37, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 50, 12264, 101, 328, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 37, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 50, 12264, 101, 328, 4489, 3883, 512, 7, 83193, 7, 50, 12264, 101, 328, 595, 75078, 320, 16, 75078, 320, 37, 12264, 101, 220, 15, 1192, 16, 75078, 1819, 37, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 50, 12264, 101, 328, 6054, 7, 16, 75078, 320, 37, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 50, 8, 75078, 320, 83193, 50, 1192, 7, 16, 75078, 320, 37, 12264, 101, 220, 15, 595, 75078, 320, 83193, 50, 340, 7988, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 50, 12264, 101, 328, 1192, 1209, 37, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 50, 12264, 101, 328, 1192, 1209, 16, 75078, 435, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 7, 50, 12264, 101, 328, 1192, 7, 16, 75078, 435, 8, 75078, 320, 83193, 7, 50, 12264, 101, 328, 1192, 7, 16, 75078, 320, 15, 12264, 101, 435, 595, 75078, 320, 83193, 7, 50, 12264, 101, 328, 1192, 1163, 8477, 25, 320, 83193, 7, 50, 12264, 101, 328, 595, 75078, 320, 16, 75078, 320, 37, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 83193, 7, 50, 12264, 101, 328, 595, 75078, 220, 16, 8, 75078, 320, 37, 12264, 101, 220, 15, 340, 7, 83193, 7, 50, 12264, 101, 328, 595, 75078, 320, 37, 12264, 101, 220, 15, 340, 7, 83193, 7, 50, 12264, 101, 328, 595, 75078, 1819, 37, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 7, 83193, 7, 50, 12264, 101, 328, 595, 75078, 1819, 16, 75078, 435, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 7, 83193, 7, 50, 12264, 101, 328, 595, 75078, 320, 16, 75078, 435, 340, 7, 83193, 7, 50, 12264, 101, 328, 595, 75078, 320, 16, 75078, 320, 15, 12264, 101, 435, 1192, 1209, 83193, 50, 8, 75078, 320, 83193, 50, 595, 75078, 320, 16, 75078, 320, 37, 12264, 101, 220, 15, 1192, 7, 83193, 50, 8, 75078, 320, 16, 75078, 320, 37, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 50, 8, 75078, 320, 16, 75078, 320, 37, 12264, 101, 220, 15, 4489, 3883, 512, 7, 16, 75078, 320, 37, 12264, 101, 220, 15, 595, 75078, 320, 83193, 50, 340, 1209, 83193, 50, 8, 75078, 220, 16, 8, 75078, 320, 37, 12264, 101, 220, 15, 340, 7, 83193, 50, 8, 75078, 320, 37, 12264, 101, 220, 15, 340, 7, 83193, 50, 8, 75078, 1819, 37, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 7, 83193, 50, 8, 75078, 1819, 16, 75078, 435, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 7, 83193, 50, 8, 75078, 320, 16, 75078, 435, 340, 7, 83193, 50, 8, 75078, 320, 16, 75078, 320, 15, 12264, 101, 435, 1192, 1163, 8477, 25, 320, 83193, 50, 8, 75078, 320, 16, 75078, 435, 696, 3883, 512, 7, 16, 75078, 435, 8, 75078, 320, 83193, 50, 340, 1209, 83193, 50, 8, 75078, 220, 16, 8, 75078, 435, 198, 7, 83193, 50, 8, 75078, 435, 198, 7, 83193, 50, 8, 75078, 320, 37, 75078, 220, 16, 340, 1163, 8477, 25, 320, 16, 75078, 435, 8, 75078, 320, 83193, 50, 8], "tokenizer": "cl100k_base", "tokens_len": 792, "data_type": "boolean", "txt": "Original: ((1 \u2227 1) \u2227 (F \u2228 0)) \u2227 (\u00ac(S \u2228 S))\n\nOptions:\n(\u00ac(S \u2228 S)) \u2227 ((1 \u2227 1) \u2227 (F \u2228 0))\n(1 \u2227 1) \u2227 ((F \u2228 0) \u2227 (\u00ac(S \u2228 S)))\n((1 \u2227 1) \u2227 (F \u2228 0)) \u2227 ((\u00acS) \u2227 (\u00acS))\n((1 \u2227 1) \u2227 (F \u2228 0)) \u2227 (\u00acS)\n((F \u2228 0) \u2227 (1 \u2227 1)) \u2227 (\u00ac(S \u2228 S))\n(1 \u2227 (1 \u2227 (F \u2228 0))) \u2227 (\u00ac(S \u2228 S))\n(((1 \u2227 1) \u2227 F) \u2228 ((1 \u2227 1) \u2227 0)) \u2227 (\u00ac(S \u2228 S))\n((1 \u2227 1) \u2227 F) \u2227 (\u00ac(S \u2228 S))\n((1 \u2227 1) \u2227 (0 \u2228 F)) \u2227 (\u00ac(S \u2228 S))\n(1 \u2227 (F \u2228 0)) \u2227 (\u00ac(S \u2228 S))\nChosen: (1 \u2227 (F \u2228 0)) \u2227 (\u00ac(S \u2228 S))\n\nOptions:\n(\u00ac(S \u2228 S)) \u2227 (1 \u2227 (F \u2228 0))\n1 \u2227 ((F \u2228 0) \u2227 (\u00ac(S \u2228 S)))\n(1 \u2227 (F \u2228 0)) \u2227 ((\u00acS) \u2227 (\u00acS))\n(1 \u2227 (F \u2228 0)) \u2227 (\u00acS)\n(F \u2228 0) \u2227 (\u00ac(S \u2228 S))\n((F \u2228 0) \u2227 1) \u2227 (\u00ac(S \u2228 S))\n((1 \u2227 F) \u2228 (1 \u2227 0)) \u2227 (\u00ac(S \u2228 S))\n(1 \u2227 F) \u2227 (\u00ac(S \u2228 S))\n(1 \u2227 (0 \u2228 F)) \u2227 (\u00ac(S \u2228 S))\nChosen: (\u00ac(S \u2228 S)) \u2227 (1 \u2227 (F \u2228 0))\n\nOptions:\n((\u00ac(S \u2228 S)) \u2227 1) \u2227 (F \u2228 0)\n(\u00ac(S \u2228 S)) \u2227 (F \u2228 0)\n(\u00ac(S \u2228 S)) \u2227 ((F \u2228 0) \u2227 1)\n(\u00ac(S \u2228 S)) \u2227 ((1 \u2227 F) \u2228 (1 \u2227 0))\n(\u00ac(S \u2228 S)) \u2227 (1 \u2227 F)\n(\u00ac(S \u2228 S)) \u2227 (1 \u2227 (0 \u2228 F))\n((\u00acS) \u2227 (\u00acS)) \u2227 (1 \u2227 (F \u2228 0))\n(\u00acS) \u2227 (1 \u2227 (F \u2228 0))\nChosen: (\u00acS) \u2227 (1 \u2227 (F \u2228 0))\n\nOptions:\n(1 \u2227 (F \u2228 0)) \u2227 (\u00acS)\n((\u00acS) \u2227 1) \u2227 (F \u2228 0)\n(\u00acS) \u2227 (F \u2228 0)\n(\u00acS) \u2227 ((F \u2228 0) \u2227 1)\n(\u00acS) \u2227 ((1 \u2227 F) \u2228 (1 \u2227 0))\n(\u00acS) \u2227 (1 \u2227 F)\n(\u00acS) \u2227 (1 \u2227 (0 \u2228 F))\nChosen: (\u00acS) \u2227 (1 \u2227 F)\n\nOptions:\n(1 \u2227 F) \u2227 (\u00acS)\n((\u00acS) \u2227 1) \u2227 F\n(\u00acS) \u2227 F\n(\u00acS) \u2227 (F \u2227 1)\nChosen: (1 \u2227 F) \u2227 (\u00acS)", "id": 147}, {"char_len": 1452, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 328, 1192, 1209, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 11861, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 50, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 50, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 16, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 328, 1192, 1209, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 7, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 328, 595, 12264, 101, 320, 16, 75078, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 50, 595, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 16, 8, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 50, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 16, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 7, 83193, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 7, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 340, 7, 83193, 16, 8, 12264, 101, 320, 16, 75078, 320, 15, 12264, 101, 220, 16, 1192, 15, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 6774, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 16, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 16, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 15, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 220, 16, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1209, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 220, 16, 198, 7, 16, 75078, 320, 83193, 16, 595, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 220, 15, 1192, 16, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 16, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 16, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 16, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 16, 75078, 320, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 220, 16, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 1044, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 S)) \u2228 ((\u00ac0) \u2227 (1 \u2228 0))\n\nOptions:\n((\u00ac0) \u2227 (1 \u2228 0)) \u2228 (\u00ac(1 \u2228 S))\n((\u00ac(1 \u2228 S)) \u2228 (\u00ac0)) \u2227 ((\u00ac(1 \u2228 S)) \u2228 (1 \u2228 0))\n(\u00ac(1 \u2228 S)) \u2228 ((1 \u2228 0) \u2227 (\u00ac0))\n(\u00ac(1 \u2228 S)) \u2228 (((\u00ac0) \u2227 1) \u2228 ((\u00ac0) \u2227 0))\n(\u00ac(1 \u2228 S)) \u2228 ((\u00ac0) \u2227 1)\n(\u00ac(1 \u2228 S)) \u2228 ((\u00ac0) \u2227 (0 \u2228 1))\n(\u00ac(1 \u2228 S)) \u2228 (1 \u2227 (1 \u2228 0))\n((\u00ac1) \u2227 (\u00acS)) \u2228 ((\u00ac0) \u2227 (1 \u2228 0))\n(\u00ac1) \u2228 ((\u00ac0) \u2227 (1 \u2228 0))\n(\u00ac(S \u2228 1)) \u2228 ((\u00ac0) \u2227 (1 \u2228 0))\nChosen: (\u00ac(1 \u2228 S)) \u2228 (1 \u2227 (1 \u2228 0))\n\nOptions:\n(1 \u2227 (1 \u2228 0)) \u2228 (\u00ac(1 \u2228 S))\n((\u00ac(1 \u2228 S)) \u2228 1) \u2227 ((\u00ac(1 \u2228 S)) \u2228 (1 \u2228 0))\n(\u00ac(1 \u2228 S)) \u2228 (1 \u2228 0)\n(\u00ac(1 \u2228 S)) \u2228 ((1 \u2228 0) \u2227 1)\n(\u00ac(1 \u2228 S)) \u2228 ((1 \u2227 1) \u2228 (1 \u2227 0))\n(\u00ac(1 \u2228 S)) \u2228 (1 \u2227 1)\n(\u00ac(1 \u2228 S)) \u2228 (1 \u2227 (0 \u2228 1))\n((\u00ac1) \u2227 (\u00acS)) \u2228 (1 \u2227 (1 \u2228 0))\n(\u00ac1) \u2228 (1 \u2227 (1 \u2228 0))\n(\u00ac(S \u2228 1)) \u2228 (1 \u2227 (1 \u2228 0))\nChosen: (\u00ac1) \u2228 (1 \u2227 (1 \u2228 0))\n\nOptions:\n(1 \u2227 (1 \u2228 0)) \u2228 (\u00ac1)\n((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 (1 \u2228 0))\n(\u00ac1) \u2228 (1 \u2228 0)\n(\u00ac1) \u2228 ((1 \u2228 0) \u2227 1)\n(\u00ac1) \u2228 ((1 \u2227 1) \u2228 (1 \u2227 0))\n(\u00ac1) \u2228 (1 \u2227 1)\n(\u00ac1) \u2228 (1 \u2227 (0 \u2228 1))\n0 \u2228 (1 \u2227 (1 \u2228 0))\nChosen: ((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 (1 \u2228 0))\n\nOptions:\n((\u00ac1) \u2228 (1 \u2228 0)) \u2227 ((\u00ac1) \u2228 1)\n(((\u00ac1) \u2228 1) \u2227 (\u00ac1)) \u2228 (((\u00ac1) \u2228 1) \u2227 (1 \u2228 0))\n((\u00ac1) \u2228 1) \u2227 ((1 \u2228 0) \u2228 (\u00ac1))\n((\u00ac1) \u2228 1) \u2227 (((\u00ac1) \u2228 1) \u2228 0)\n((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 1)\n((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 (0 \u2228 1))\n((\u00ac1) \u2228 1) \u2227 (0 \u2228 (1 \u2228 0))\n1 \u2227 ((\u00ac1) \u2228 (1 \u2228 0))\n(1 \u2228 (\u00ac1)) \u2227 ((\u00ac1) \u2228 (1 \u2228 0))\n(0 \u2228 1) \u2227 ((\u00ac1) \u2228 (1 \u2228 0))\nChosen: 1 \u2227 ((\u00ac1) \u2228 (1 \u2228 0))\n\nOptions:\n(\u00ac1) \u2228 (1 \u2228 0)\n((\u00ac1) \u2228 (1 \u2228 0)) \u2227 1\n(1 \u2227 (\u00ac1)) \u2228 (1 \u2227 (1 \u2228 0))\n1 \u2227 ((1 \u2228 0) \u2228 (\u00ac1))\n1 \u2227 (((\u00ac1) \u2228 1) \u2228 0)\n1 \u2227 ((\u00ac1) \u2228 1)\n1 \u2227 ((\u00ac1) \u2228 (0 \u2228 1))\n1 \u2227 (0 \u2228 (1 \u2228 0))\nChosen: 1 \u2227 ((\u00ac1) \u2228 1)", "id": 148}, {"char_len": 2466, "tokens": [18902, 25, 1819, 16, 75078, 435, 8, 12264, 101, 320, 83193, 37, 595, 12264, 101, 1819, 37, 75078, 220, 15, 8, 75078, 320, 45, 75078, 220, 16, 4489, 3883, 512, 1209, 37, 75078, 220, 15, 8, 75078, 320, 45, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 435, 8, 12264, 101, 320, 83193, 37, 1192, 7, 16, 75078, 435, 8, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 1819, 37, 75078, 220, 15, 8, 75078, 320, 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1819, 83193, 37, 8, 12264, 101, 435, 340, 1209, 15, 75078, 435, 8, 75078, 452, 8, 12264, 101, 320, 37, 12264, 101, 320, 83193, 37, 1192, 7, 16, 75078, 1819, 15, 75078, 435, 8, 75078, 452, 595, 12264, 101, 320, 37, 12264, 101, 320, 83193, 37, 1192, 1209, 15, 75078, 435, 8, 75078, 320, 45, 75078, 220, 16, 595, 12264, 101, 320, 37, 12264, 101, 320, 83193, 37, 1192, 1209, 45, 75078, 320, 15, 75078, 435, 595, 75078, 220, 16, 8, 12264, 101, 320, 37, 12264, 101, 320, 83193, 37, 1192, 1209, 15, 75078, 320, 37, 75078, 452, 595, 75078, 220, 16, 8, 12264, 101, 320, 37, 12264, 101, 320, 83193, 37, 1192, 1209, 15, 75078, 452, 8, 75078, 220, 16, 8, 12264, 101, 320, 37, 12264, 101, 320, 83193, 37, 1192, 6774, 37, 75078, 220, 15, 8, 75078, 452, 8, 75078, 220, 16, 8, 12264, 101, 320, 37, 12264, 101, 320, 83193, 37, 1192, 1163, 8477, 25, 1819, 15, 75078, 435, 8, 75078, 320, 45, 75078, 220, 16, 595, 12264, 101, 320, 37, 12264, 101, 320, 83193, 37, 595], "tokenizer": "cl100k_base", "tokens_len": 1589, "data_type": "boolean", "txt": "Original: ((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((F \u2227 0) \u2227 (N \u2227 1))\n\nOptions:\n((F \u2227 0) \u2227 (N \u2227 1)) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n(1 \u2227 F) \u2228 ((\u00acF) \u2228 ((F \u2227 0) \u2227 (N \u2227 1)))\n(((1 \u2227 F) \u2228 (\u00acF)) \u2228 (F \u2227 0)) \u2227 (((1 \u2227 F) \u2228 (\u00acF)) \u2228 (N \u2227 1))\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((N \u2227 1) \u2227 (F \u2227 0))\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 (((F \u2227 0) \u2227 N) \u2227 1)\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 (F \u2227 (0 \u2227 (N \u2227 1)))\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((F \u2227 0) \u2227 N)\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((F \u2227 0) \u2227 (1 \u2227 N))\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 (0 \u2227 (N \u2227 1))\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((0 \u2227 F) \u2227 (N \u2227 1))\n((\u00acF) \u2228 (1 \u2227 F)) \u2228 ((F \u2227 0) \u2227 (N \u2227 1))\n(F \u2228 (\u00acF)) \u2228 ((F \u2227 0) \u2227 (N \u2227 1))\n((F \u2227 1) \u2228 (\u00acF)) \u2228 ((F \u2227 0) \u2227 (N \u2227 1))\nChosen: ((1 \u2227 F) \u2228 (\u00acF)) \u2228 (((F \u2227 0) \u2227 N) \u2227 1)\n\nOptions:\n(((F \u2227 0) \u2227 N) \u2227 1) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n(1 \u2227 F) \u2228 ((\u00acF) \u2228 (((F \u2227 0) \u2227 N) \u2227 1))\n(((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((F \u2227 0) \u2227 N)) \u2227 (((1 \u2227 F) \u2228 (\u00acF)) \u2228 1)\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((F \u2227 0) \u2227 N)\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 (1 \u2227 ((F \u2227 0) \u2227 N))\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((N \u2227 (F \u2227 0)) \u2227 1)\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((F \u2227 (0 \u2227 N)) \u2227 1)\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((0 \u2227 N) \u2227 1)\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 (((0 \u2227 F) \u2227 N) \u2227 1)\n((\u00acF) \u2228 (1 \u2227 F)) \u2228 (((F \u2227 0) \u2227 N) \u2227 1)\n(F \u2228 (\u00acF)) \u2228 (((F \u2227 0) \u2227 N) \u2227 1)\n((F \u2227 1) \u2228 (\u00acF)) \u2228 (((F \u2227 0) \u2227 N) \u2227 1)\nChosen: (((F \u2227 0) \u2227 N) \u2227 1) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n\nOptions:\n((((F \u2227 0) \u2227 N) \u2227 1) \u2228 (1 \u2227 F)) \u2228 (\u00acF)\n(((F \u2227 0) \u2227 N) \u2227 1) \u2228 ((\u00acF) \u2228 (1 \u2227 F))\n(((F \u2227 0) \u2227 N) \u2227 1) \u2228 (F \u2228 (\u00acF))\n(((F \u2227 0) \u2227 N) \u2227 1) \u2228 ((F \u2227 1) \u2228 (\u00acF))\n((F \u2227 0) \u2227 N) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n(1 \u2227 ((F \u2227 0) \u2227 N)) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n((F \u2227 0) \u2227 (N \u2227 1)) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n((N \u2227 (F \u2227 0)) \u2227 1) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n((F \u2227 (0 \u2227 N)) \u2227 1) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n((0 \u2227 N) \u2227 1) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n(((0 \u2227 F) \u2227 N) \u2227 1) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\nChosen: (((0 \u2227 F) \u2227 N) \u2227 1) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n\nOptions:\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 (((0 \u2227 F) \u2227 N) \u2227 1)\n((((0 \u2227 F) \u2227 N) \u2227 1) \u2228 (1 \u2227 F)) \u2228 (\u00acF)\n(((0 \u2227 F) \u2227 N) \u2227 1) \u2228 ((\u00acF) \u2228 (1 \u2227 F))\n(((0 \u2227 F) \u2227 N) \u2227 1) \u2228 (F \u2228 (\u00acF))\n(((0 \u2227 F) \u2227 N) \u2227 1) \u2228 ((F \u2227 1) \u2228 (\u00acF))\n((0 \u2227 F) \u2227 N) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n(1 \u2227 ((0 \u2227 F) \u2227 N)) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n((0 \u2227 F) \u2227 (N \u2227 1)) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n((N \u2227 (0 \u2227 F)) \u2227 1) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n((0 \u2227 (F \u2227 N)) \u2227 1) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\n((0 \u2227 N) \u2227 1) \u2228 ((1 \u2227 F) \u2228 (\u00acF))\nChosen: (((0 \u2227 F) \u2227 N) \u2227 1) \u2228 (F \u2228 (\u00acF))\n\nOptions:\n(F \u2228 (\u00acF)) \u2228 (((0 \u2227 F) \u2227 N) \u2227 1)\n((((0 \u2227 F) \u2227 N) \u2227 1) \u2228 F) \u2228 (\u00acF)\n(((0 \u2227 F) \u2227 N) \u2227 1) \u2228 1\n(((0 \u2227 F) \u2227 N) \u2227 1) \u2228 ((\u00acF) \u2228 F)\n((0 \u2227 F) \u2227 N) \u2228 (F \u2228 (\u00acF))\n(1 \u2227 ((0 \u2227 F) \u2227 N)) \u2228 (F \u2228 (\u00acF))\n((0 \u2227 F) \u2227 (N \u2227 1)) \u2228 (F \u2228 (\u00acF))\n((N \u2227 (0 \u2227 F)) \u2227 1) \u2228 (F \u2228 (\u00acF))\n((0 \u2227 (F \u2227 N)) \u2227 1) \u2228 (F \u2228 (\u00acF))\n((0 \u2227 N) \u2227 1) \u2228 (F \u2228 (\u00acF))\n(((F \u2227 0) \u2227 N) \u2227 1) \u2228 (F \u2228 (\u00acF))\nChosen: ((0 \u2227 F) \u2227 (N \u2227 1)) \u2228 (F \u2228 (\u00acF))", "id": 149}, {"char_len": 2082, "tokens": [18902, 25, 320, 83193, 7, 16, 75078, 220, 15, 595, 75078, 1819, 36, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 423, 4489, 3883, 512, 1209, 36, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 423, 595, 75078, 320, 83193, 7, 16, 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16, 75078, 220, 15, 595, 75078, 220, 16, 8, 75078, 320, 16, 75078, 423, 340, 1209, 83193, 7, 16, 75078, 220, 15, 595, 75078, 320, 16, 12264, 101, 469, 595, 75078, 320, 16, 75078, 423, 340, 6774, 83193, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 423, 340, 1209, 83193, 15, 8, 75078, 320, 36, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 423, 340, 1209, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 423, 340, 1163, 8477, 25, 1819, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 423, 696, 3883, 512, 7, 16, 75078, 423, 8, 75078, 1819, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 1192, 6774, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 8, 75078, 423, 198, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 1819, 36, 12264, 101, 220, 16, 8, 75078, 320, 16, 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83193, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 423, 696, 3883, 512, 7, 16, 75078, 423, 8, 75078, 11861, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 1192, 67944, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 8, 75078, 423, 198, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 36, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 423, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 75078, 423, 198, 6774, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 75078, 320, 35, 75078, 220, 16, 340, 1209, 36, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 16, 75078, 423, 340, 67944, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 469, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 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(\u00ac(1 \u2227 0)) \u2227 ((E \u2228 1) \u2227 (1 \u2227 D))\n\nOptions:\n((E \u2228 1) \u2227 (1 \u2227 D)) \u2227 (\u00ac(1 \u2227 0))\n((\u00ac(1 \u2227 0)) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\n(\u00ac(1 \u2227 0)) \u2227 ((1 \u2227 D) \u2227 (E \u2228 1))\n(\u00ac(1 \u2227 0)) \u2227 (((E \u2228 1) \u2227 1) \u2227 D)\n(\u00ac(1 \u2227 0)) \u2227 ((E \u2228 1) \u2227 D)\n(\u00ac(1 \u2227 0)) \u2227 ((E \u2228 1) \u2227 (D \u2227 1))\n(\u00ac(1 \u2227 0)) \u2227 (1 \u2227 (1 \u2227 D))\n(\u00ac(1 \u2227 0)) \u2227 ((1 \u2228 E) \u2227 (1 \u2227 D))\n((\u00ac1) \u2228 (\u00ac0)) \u2227 ((E \u2228 1) \u2227 (1 \u2227 D))\n(\u00ac0) \u2227 ((E \u2228 1) \u2227 (1 \u2227 D))\n(\u00ac(0 \u2227 1)) \u2227 ((E \u2228 1) \u2227 (1 \u2227 D))\nChosen: ((\u00ac(1 \u2227 0)) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\n\nOptions:\n(1 \u2227 D) \u2227 ((\u00ac(1 \u2227 0)) \u2227 (E \u2228 1))\n(((\u00ac(1 \u2227 0)) \u2227 (E \u2228 1)) \u2227 1) \u2227 D\n((\u00ac(1 \u2227 0)) \u2227 (E \u2228 1)) \u2227 D\n((\u00ac(1 \u2227 0)) \u2227 (E \u2228 1)) \u2227 (D \u2227 1)\n((E \u2228 1) \u2227 (\u00ac(1 \u2227 0))) \u2227 (1 \u2227 D)\n(((\u00ac(1 \u2227 0)) \u2227 E) \u2228 ((\u00ac(1 \u2227 0)) \u2227 1)) \u2227 (1 \u2227 D)\n((\u00ac(1 \u2227 0)) \u2227 1) \u2227 (1 \u2227 D)\n((\u00ac(1 \u2227 0)) \u2227 (1 \u2228 E)) \u2227 (1 \u2227 D)\n(((\u00ac1) \u2228 (\u00ac0)) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\n((\u00ac0) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\n((\u00ac(0 \u2227 1)) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\nChosen: ((\u00ac(0 \u2227 1)) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\n\nOptions:\n(1 \u2227 D) \u2227 ((\u00ac(0 \u2227 1)) \u2227 (E \u2228 1))\n(((\u00ac(0 \u2227 1)) \u2227 (E \u2228 1)) \u2227 1) \u2227 D\n(\u00ac(0 \u2227 1)) \u2227 ((E \u2228 1) \u2227 (1 \u2227 D))\n((\u00ac(0 \u2227 1)) \u2227 (E \u2228 1)) \u2227 D\n((\u00ac(0 \u2227 1)) \u2227 (E \u2228 1)) \u2227 (D \u2227 1)\n((E \u2228 1) \u2227 (\u00ac(0 \u2227 1))) \u2227 (1 \u2227 D)\n(((\u00ac(0 \u2227 1)) \u2227 E) \u2228 ((\u00ac(0 \u2227 1)) \u2227 1)) \u2227 (1 \u2227 D)\n((\u00ac(0 \u2227 1)) \u2227 1) \u2227 (1 \u2227 D)\n((\u00ac(0 \u2227 1)) \u2227 (1 \u2228 E)) \u2227 (1 \u2227 D)\n(((\u00ac0) \u2228 (\u00ac1)) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\n((\u00ac0) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\nChosen: (((\u00ac0) \u2228 (\u00ac1)) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\n\nOptions:\n(1 \u2227 D) \u2227 (((\u00ac0) \u2228 (\u00ac1)) \u2227 (E \u2228 1))\n((((\u00ac0) \u2228 (\u00ac1)) \u2227 (E \u2228 1)) \u2227 1) \u2227 D\n((\u00ac0) \u2228 (\u00ac1)) \u2227 ((E \u2228 1) \u2227 (1 \u2227 D))\n(((\u00ac0) \u2228 (\u00ac1)) \u2227 (E \u2228 1)) \u2227 D\n(((\u00ac0) \u2228 (\u00ac1)) \u2227 (E \u2228 1)) \u2227 (D \u2227 1)\n((E \u2228 1) \u2227 ((\u00ac0) \u2228 (\u00ac1))) \u2227 (1 \u2227 D)\n((((\u00ac0) \u2228 (\u00ac1)) \u2227 E) \u2228 (((\u00ac0) \u2228 (\u00ac1)) \u2227 1)) \u2227 (1 \u2227 D)\n(((\u00ac0) \u2228 (\u00ac1)) \u2227 1) \u2227 (1 \u2227 D)\n(((\u00ac0) \u2228 (\u00ac1)) \u2227 (1 \u2228 E)) \u2227 (1 \u2227 D)\n(((\u00ac1) \u2228 (\u00ac0)) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\n(((\u00ac0) \u2228 0) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\n((1 \u2228 (\u00ac1)) \u2227 (E \u2228 1)) \u2227 (1 \u2227 D)\nChosen: (((\u00ac0) \u2228 (\u00ac1)) \u2227 1) \u2227 (1 \u2227 D)\n\nOptions:\n(1 \u2227 D) \u2227 (((\u00ac0) \u2228 (\u00ac1)) \u2227 1)\n((((\u00ac0) \u2228 (\u00ac1)) \u2227 1) \u2227 1) \u2227 D\n((\u00ac0) \u2228 (\u00ac1)) \u2227 (1 \u2227 (1 \u2227 D))\n(((\u00ac0) \u2228 (\u00ac1)) \u2227 1) \u2227 D\n(((\u00ac0) \u2228 (\u00ac1)) \u2227 1) \u2227 (D \u2227 1)\n((\u00ac0) \u2228 (\u00ac1)) \u2227 (1 \u2227 D)\n(1 \u2227 ((\u00ac0) \u2228 (\u00ac1))) \u2227 (1 \u2227 D)\n(((\u00ac1) \u2228 (\u00ac0)) \u2227 1) \u2227 (1 \u2227 D)\n(((\u00ac0) \u2228 0) \u2227 1) \u2227 (1 \u2227 D)\n((1 \u2228 (\u00ac1)) \u2227 1) \u2227 (1 \u2227 D)\nChosen: (((\u00ac0) \u2228 (\u00ac1)) \u2227 1) \u2227 (D \u2227 1)", "id": 150}, {"char_len": 1986, "tokens": [18902, 25, 1819, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 426, 8, 12264, 101, 320, 16, 12264, 101, 1901, 4489, 3883, 512, 1209, 15, 12264, 101, 426, 8, 12264, 101, 320, 16, 12264, 101, 1901, 595, 75078, 1819, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 6774, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 15, 12264, 101, 426, 595, 12264, 101, 11861, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 16, 12264, 101, 1901, 1192, 1209, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 16, 12264, 101, 1901, 8, 12264, 101, 320, 15, 12264, 101, 426, 1192, 1209, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 11861, 15, 12264, 101, 426, 8, 12264, 101, 220, 16, 8, 12264, 101, 1901, 340, 1209, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 15, 12264, 101, 320, 33, 12264, 101, 320, 16, 12264, 101, 1901, 6054, 1209, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 426, 8, 12264, 101, 220, 16, 340, 1209, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 426, 8, 12264, 101, 320, 57, 12264, 101, 220, 16, 1192, 1209, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 33, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 1209, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 33, 595, 75078, 1819, 15, 12264, 101, 426, 8, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 6774, 83193, 33, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 426, 8, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 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320, 33, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 1901, 6054, 1209, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 12264, 101, 220, 16, 1192, 1209, 83193, 33, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 33, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 33, 595, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 6774, 83193, 33, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 1163, 8477, 25, 1819, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 1901, 4489, 3883, 512, 1209, 33, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 1901, 595, 75078, 1819, 83193, 33, 8, 12264, 101, 220, 15, 340, 6774, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 320, 33, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 1901, 1192, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 12264, 101, 1901, 8, 12264, 101, 320, 33, 12264, 101, 220, 15, 1192, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 11861, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1901, 340, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 320, 33, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 1901, 6054, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 12264, 101, 220, 16, 1192, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 320, 33, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 426, 8, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 7, 83193, 33, 8, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 7, 15, 12264, 101, 320, 83193, 33, 595, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 1901, 1192, 1163, 8477, 25, 1819, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 33, 8, 12264, 101, 220, 15, 340, 6774, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 320, 33, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 220, 16, 198, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 320, 33, 12264, 101, 220, 15, 1192, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 320, 33, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 320, 33, 12264, 101, 220, 16, 340, 1209, 83193, 33, 8, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 426, 8, 12264, 101, 220, 16, 340, 7, 83193, 33, 8, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 7, 15, 12264, 101, 320, 83193, 33, 595, 75078, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 33, 8, 12264, 101, 220, 15, 696, 3883, 512, 6774, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 33, 595, 12264, 101, 11861, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 1209, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 33, 340, 1209, 33, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 320, 83193, 33, 1192, 16, 75078, 1819, 83193, 33, 8, 12264, 101, 220, 15, 340, 7, 16, 12264, 101, 320, 33, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 33, 8, 12264, 101, 220, 15, 340, 5462, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 33, 8, 12264, 101, 220, 15, 340, 5462, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 33, 8, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 426, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 33, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 220, 16, 75078, 1819, 83193, 33, 8, 12264, 101, 220, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 1449, "data_type": "boolean", "txt": "Original: ((\u00acB) \u2228 (0 \u2228 0)) \u2227 ((0 \u2228 B) \u2228 (1 \u2228 Z))\n\nOptions:\n((0 \u2228 B) \u2228 (1 \u2228 Z)) \u2227 ((\u00acB) \u2228 (0 \u2228 0))\n(((\u00acB) \u2228 (0 \u2228 0)) \u2227 (0 \u2228 B)) \u2228 (((\u00acB) \u2228 (0 \u2228 0)) \u2227 (1 \u2228 Z))\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 ((1 \u2228 Z) \u2228 (0 \u2228 B))\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 (((0 \u2228 B) \u2228 1) \u2228 Z)\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 (0 \u2228 (B \u2228 (1 \u2228 Z)))\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 ((0 \u2228 B) \u2228 1)\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 ((0 \u2228 B) \u2228 (Z \u2228 1))\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 (B \u2228 (1 \u2228 Z))\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 ((B \u2228 0) \u2228 (1 \u2228 Z))\n((0 \u2228 0) \u2228 (\u00acB)) \u2227 ((0 \u2228 B) \u2228 (1 \u2228 Z))\n(((\u00acB) \u2228 0) \u2228 0) \u2227 ((0 \u2228 B) \u2228 (1 \u2228 Z))\n((\u00acB) \u2228 0) \u2227 ((0 \u2228 B) \u2228 (1 \u2228 Z))\nChosen: ((\u00acB) \u2228 (0 \u2228 0)) \u2227 ((B \u2228 0) \u2228 (1 \u2228 Z))\n\nOptions:\n((B \u2228 0) \u2228 (1 \u2228 Z)) \u2227 ((\u00acB) \u2228 (0 \u2228 0))\n(((\u00acB) \u2228 (0 \u2228 0)) \u2227 (B \u2228 0)) \u2228 (((\u00acB) \u2228 (0 \u2228 0)) \u2227 (1 \u2228 Z))\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 ((1 \u2228 Z) \u2228 (B \u2228 0))\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 (((B \u2228 0) \u2228 1) \u2228 Z)\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 (B \u2228 (0 \u2228 (1 \u2228 Z)))\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 ((B \u2228 0) \u2228 1)\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 ((B \u2228 0) \u2228 (Z \u2228 1))\n((\u00acB) \u2228 (0 \u2228 0)) \u2227 (B \u2228 (1 \u2228 Z))\n((0 \u2228 0) \u2228 (\u00acB)) \u2227 ((B \u2228 0) \u2228 (1 \u2228 Z))\n(((\u00acB) \u2228 0) \u2228 0) \u2227 ((B \u2228 0) \u2228 (1 \u2228 Z))\n((\u00acB) \u2228 0) \u2227 ((B \u2228 0) \u2228 (1 \u2228 Z))\nChosen: ((\u00acB) \u2228 0) \u2227 ((B \u2228 0) \u2228 (1 \u2228 Z))\n\nOptions:\n((B \u2228 0) \u2228 (1 \u2228 Z)) \u2227 ((\u00acB) \u2228 0)\n(((\u00acB) \u2228 0) \u2227 (B \u2228 0)) \u2228 (((\u00acB) \u2228 0) \u2227 (1 \u2228 Z))\n((\u00acB) \u2228 0) \u2227 ((1 \u2228 Z) \u2228 (B \u2228 0))\n((\u00acB) \u2228 0) \u2227 (((B \u2228 0) \u2228 1) \u2228 Z)\n((\u00acB) \u2228 0) \u2227 (B \u2228 (0 \u2228 (1 \u2228 Z)))\n((\u00acB) \u2228 0) \u2227 ((B \u2228 0) \u2228 1)\n((\u00acB) \u2228 0) \u2227 ((B \u2228 0) \u2228 (Z \u2228 1))\n((\u00acB) \u2228 0) \u2227 (B \u2228 (1 \u2228 Z))\n((\u00acB) \u2228 0) \u2227 ((0 \u2228 B) \u2228 (1 \u2228 Z))\n(\u00acB) \u2227 ((B \u2228 0) \u2228 (1 \u2228 Z))\n(0 \u2228 (\u00acB)) \u2227 ((B \u2228 0) \u2228 (1 \u2228 Z))\nChosen: ((\u00acB) \u2228 0) \u2227 ((B \u2228 0) \u2228 1)\n\nOptions:\n((B \u2228 0) \u2228 1) \u2227 ((\u00acB) \u2228 0)\n(((\u00acB) \u2228 0) \u2227 (B \u2228 0)) \u2228 (((\u00acB) \u2228 0) \u2227 1)\n((\u00acB) \u2228 0) \u2227 1\n((\u00acB) \u2228 0) \u2227 (1 \u2228 (B \u2228 0))\n((\u00acB) \u2228 0) \u2227 (B \u2228 (0 \u2228 1))\n((\u00acB) \u2228 0) \u2227 (B \u2228 1)\n((\u00acB) \u2228 0) \u2227 ((0 \u2228 B) \u2228 1)\n(\u00acB) \u2227 ((B \u2228 0) \u2228 1)\n(0 \u2228 (\u00acB)) \u2227 ((B \u2228 0) \u2228 1)\nChosen: ((B \u2228 0) \u2228 1) \u2227 ((\u00acB) \u2228 0)\n\nOptions:\n(((B \u2228 0) \u2228 1) \u2227 (\u00acB)) \u2228 (((B \u2228 0) \u2228 1) \u2227 0)\n((B \u2228 0) \u2228 1) \u2227 (\u00acB)\n((B \u2228 0) \u2228 1) \u2227 (0 \u2228 (\u00acB))\n1 \u2227 ((\u00acB) \u2228 0)\n(1 \u2228 (B \u2228 0)) \u2227 ((\u00acB) \u2228 0)\n(B \u2228 (0 \u2228 1)) \u2227 ((\u00acB) \u2228 0)\n(B \u2228 1) \u2227 ((\u00acB) \u2228 0)\n((0 \u2228 B) \u2228 1) \u2227 ((\u00acB) \u2228 0)\nChosen: 1 \u2227 ((\u00acB) \u2228 0)", "id": 151}, {"char_len": 1278, "tokens": [18902, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 47, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 47, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 47, 75078, 220, 16, 6054, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 47, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 393, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 47, 75078, 220, 16, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 47, 75078, 220, 16, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 47, 75078, 220, 16, 1192, 7, 16, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 47, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 393, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 393, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 75078, 393, 6054, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 47, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 47, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 393, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 75078, 393, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 75078, 393, 1192, 7, 16, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 393, 1192, 1163, 8477, 25, 320, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 75078, 393, 19789, 3883, 512, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 75078, 393, 7861, 12264, 101, 320, 16, 75078, 220, 16, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 7, 16, 75078, 393, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 7, 16, 75078, 393, 23631, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 47, 6054, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 47, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 47, 75078, 220, 16, 6054, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 7, 16, 75078, 393, 6054, 16, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 75078, 393, 6054, 1163, 8477, 25, 320, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 47, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 47, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 47, 6054, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 47, 1192, 16, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 47, 1192, 1163, 8477, 25, 320, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 47, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 47, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 47, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 198, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 220, 16, 340, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 47, 1192, 1163, 8477, 25, 320, 16, 75078, 220, 16, 8, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 916, "data_type": "boolean", "txt": "Original: ((1 \u2227 1) \u2228 (1 \u2228 1)) \u2228 (\u00ac(P \u2227 1))\n\nOptions:\n(\u00ac(P \u2227 1)) \u2228 ((1 \u2227 1) \u2228 (1 \u2228 1))\n(1 \u2227 1) \u2228 ((1 \u2228 1) \u2228 (\u00ac(P \u2227 1)))\n((1 \u2227 1) \u2228 (1 \u2228 1)) \u2228 ((\u00acP) \u2228 (\u00ac1))\n((1 \u2227 1) \u2228 (1 \u2228 1)) \u2228 (\u00acP)\n((1 \u2227 1) \u2228 (1 \u2228 1)) \u2228 (\u00ac(1 \u2227 P))\n((1 \u2228 1) \u2228 (1 \u2227 1)) \u2228 (\u00ac(P \u2227 1))\n(((1 \u2227 1) \u2228 1) \u2228 1) \u2228 (\u00ac(P \u2227 1))\n((1 \u2227 1) \u2228 1) \u2228 (\u00ac(P \u2227 1))\n(1 \u2228 (1 \u2228 1)) \u2228 (\u00ac(P \u2227 1))\nChosen: ((1 \u2227 1) \u2228 (1 \u2228 1)) \u2228 (\u00ac(1 \u2227 P))\n\nOptions:\n(\u00ac(1 \u2227 P)) \u2228 ((1 \u2227 1) \u2228 (1 \u2228 1))\n(1 \u2227 1) \u2228 ((1 \u2228 1) \u2228 (\u00ac(1 \u2227 P)))\n((1 \u2227 1) \u2228 (1 \u2228 1)) \u2228 ((\u00ac1) \u2228 (\u00acP))\n((1 \u2227 1) \u2228 (1 \u2228 1)) \u2228 (\u00acP)\n((1 \u2228 1) \u2228 (1 \u2227 1)) \u2228 (\u00ac(1 \u2227 P))\n(((1 \u2227 1) \u2228 1) \u2228 1) \u2228 (\u00ac(1 \u2227 P))\n((1 \u2227 1) \u2228 1) \u2228 (\u00ac(1 \u2227 P))\n(1 \u2228 (1 \u2228 1)) \u2228 (\u00ac(1 \u2227 P))\nChosen: (1 \u2227 1) \u2228 ((1 \u2228 1) \u2228 (\u00ac(1 \u2227 P)))\n\nOptions:\n((1 \u2228 1) \u2228 (\u00ac(1 \u2227 P))) \u2228 (1 \u2227 1)\n(1 \u2227 1) \u2228 ((\u00ac(1 \u2227 P)) \u2228 (1 \u2228 1))\n(1 \u2227 1) \u2228 (1 \u2228 (1 \u2228 (\u00ac(1 \u2227 P))))\n(1 \u2227 1) \u2228 ((1 \u2228 1) \u2228 ((\u00ac1) \u2228 (\u00acP)))\n(1 \u2227 1) \u2228 ((1 \u2228 1) \u2228 (\u00acP))\n(1 \u2227 1) \u2228 ((1 \u2228 1) \u2228 (\u00ac(P \u2227 1)))\n(1 \u2227 1) \u2228 (1 \u2228 (\u00ac(1 \u2227 P)))\n1 \u2228 ((1 \u2228 1) \u2228 (\u00ac(1 \u2227 P)))\nChosen: (1 \u2227 1) \u2228 ((1 \u2228 1) \u2228 (\u00acP))\n\nOptions:\n((1 \u2228 1) \u2228 (\u00acP)) \u2228 (1 \u2227 1)\n((1 \u2227 1) \u2228 (1 \u2228 1)) \u2228 (\u00acP)\n(1 \u2227 1) \u2228 ((\u00acP) \u2228 (1 \u2228 1))\n(1 \u2227 1) \u2228 (1 \u2228 (1 \u2228 (\u00acP)))\n(1 \u2227 1) \u2228 (1 \u2228 (\u00acP))\n1 \u2228 ((1 \u2228 1) \u2228 (\u00acP))\nChosen: (1 \u2227 1) \u2228 (1 \u2228 (\u00acP))\n\nOptions:\n(1 \u2228 (\u00acP)) \u2228 (1 \u2227 1)\n((1 \u2227 1) \u2228 1) \u2228 (\u00acP)\n(1 \u2227 1) \u2228 1\n(1 \u2227 1) \u2228 ((\u00acP) \u2228 1)\n1 \u2228 (1 \u2228 (\u00acP))\nChosen: (1 \u2227 1) \u2228 1", "id": 152}, {"char_len": 642, "tokens": [18902, 25, 97265, 1209, 41, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 816, 4489, 3883, 512, 7, 83193, 7, 41, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 75078, 816, 1192, 83193, 1209, 16, 75078, 816, 8, 75078, 320, 41, 12264, 101, 220, 15, 1192, 83193, 6774, 41, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 75078, 816, 340, 83193, 1209, 41, 12264, 101, 220, 15, 8, 75078, 816, 340, 83193, 1209, 41, 12264, 101, 220, 15, 8, 75078, 320, 56, 75078, 220, 16, 1192, 83193, 7, 41, 75078, 320, 16, 75078, 816, 1192, 83193, 1209, 15, 12264, 101, 622, 8, 75078, 320, 16, 75078, 816, 1192, 1163, 8477, 25, 97265, 6774, 41, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 75078, 816, 696, 3883, 512, 7, 83193, 1209, 41, 12264, 101, 220, 15, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 56, 340, 83193, 7, 56, 75078, 1819, 41, 12264, 101, 220, 15, 8, 75078, 220, 16, 1192, 83193, 1209, 41, 12264, 101, 220, 15, 8, 75078, 816, 340, 83193, 1209, 16, 75078, 320, 41, 12264, 101, 220, 15, 595, 75078, 816, 340, 83193, 1209, 41, 75078, 220, 16, 8, 75078, 816, 340, 83193, 6774, 15, 12264, 101, 622, 8, 75078, 220, 16, 8, 75078, 816, 340, 1163, 8477, 25, 97265, 1209, 41, 75078, 220, 16, 8, 75078, 816, 696, 3883, 512, 7, 83193, 7, 41, 75078, 220, 16, 595, 12264, 101, 320, 83193, 56, 340, 83193, 7, 56, 75078, 320, 41, 75078, 220, 16, 1192, 83193, 7, 41, 75078, 320, 16, 75078, 816, 1192, 83193, 7, 41, 75078, 816, 340, 83193, 1209, 16, 75078, 622, 8, 75078, 816, 340, 1163, 8477, 25, 97265, 1209, 16, 75078, 622, 8, 75078, 816, 696, 3883, 512, 7, 83193, 7, 16, 75078, 622, 595, 12264, 101, 320, 83193, 56, 340, 83193, 7, 56, 75078, 320, 16, 75078, 622, 1192, 83193, 7, 16, 75078, 320, 41, 75078, 816, 1192, 83193, 7, 41, 75078, 816, 340, 1163, 8477, 25, 97265, 7, 56, 75078, 320, 16, 75078, 622, 4489, 3883, 512, 7, 83193, 56, 8, 12264, 101, 320, 83193, 7, 16, 75078, 622, 1192, 83193, 1209, 56, 75078, 220, 16, 8, 75078, 622, 340, 83193, 7, 56, 75078, 622, 340, 83193, 7, 56, 75078, 320, 41, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 1209, 56, 75078, 220, 16, 8, 75078, 622, 8], "tokenizer": "cl100k_base", "tokens_len": 396, "data_type": "boolean", "txt": "Original: \u00ac((J \u2228 0) \u2227 (1 \u2227 Y))\n\nOptions:\n(\u00ac(J \u2228 0)) \u2228 (\u00ac(1 \u2227 Y))\n\u00ac((1 \u2227 Y) \u2227 (J \u2228 0))\n\u00ac(((J \u2228 0) \u2227 1) \u2227 Y)\n\u00ac((J \u2228 0) \u2227 Y)\n\u00ac((J \u2228 0) \u2227 (Y \u2227 1))\n\u00ac(J \u2227 (1 \u2227 Y))\n\u00ac((0 \u2228 J) \u2227 (1 \u2227 Y))\nChosen: \u00ac(((J \u2228 0) \u2227 1) \u2227 Y)\n\nOptions:\n(\u00ac((J \u2228 0) \u2227 1)) \u2228 (\u00acY)\n\u00ac(Y \u2227 ((J \u2228 0) \u2227 1))\n\u00ac((J \u2228 0) \u2227 Y)\n\u00ac((1 \u2227 (J \u2228 0)) \u2227 Y)\n\u00ac((J \u2227 1) \u2227 Y)\n\u00ac(((0 \u2228 J) \u2227 1) \u2227 Y)\nChosen: \u00ac((J \u2227 1) \u2227 Y)\n\nOptions:\n(\u00ac(J \u2227 1)) \u2228 (\u00acY)\n\u00ac(Y \u2227 (J \u2227 1))\n\u00ac(J \u2227 (1 \u2227 Y))\n\u00ac(J \u2227 Y)\n\u00ac((1 \u2227 J) \u2227 Y)\nChosen: \u00ac((1 \u2227 J) \u2227 Y)\n\nOptions:\n(\u00ac(1 \u2227 J)) \u2228 (\u00acY)\n\u00ac(Y \u2227 (1 \u2227 J))\n\u00ac(1 \u2227 (J \u2227 Y))\n\u00ac(J \u2227 Y)\nChosen: \u00ac(Y \u2227 (1 \u2227 J))\n\nOptions:\n(\u00acY) \u2228 (\u00ac(1 \u2227 J))\n\u00ac((Y \u2227 1) \u2227 J)\n\u00ac(Y \u2227 J)\n\u00ac(Y \u2227 (J \u2227 1))\nChosen: \u00ac((Y \u2227 1) \u2227 J)", "id": 153}, {"char_len": 814, "tokens": [18902, 25, 320, 83193, 7, 15, 12264, 101, 328, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 50, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 328, 1192, 1209, 83193, 7, 15, 12264, 101, 328, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 50, 340, 7, 83193, 7, 15, 12264, 101, 328, 595, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 15, 12264, 101, 328, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 50, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 50, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 7, 83193, 50, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 7, 83193, 7, 50, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 328, 595, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 50, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 328, 1192, 1209, 83193, 7, 15, 12264, 101, 328, 595, 12264, 101, 320, 83193, 50, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 15, 12264, 101, 328, 595, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 50, 595, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 50, 8, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 50, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 7, 15, 12264, 101, 328, 595, 12264, 101, 320, 83193, 50, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 7, 15, 12264, 101, 328, 595, 12264, 101, 320, 83193, 50, 1192, 1209, 83193, 7, 15, 12264, 101, 328, 595, 12264, 101, 320, 83193, 50, 595, 12264, 101, 220, 16, 198, 1209, 83193, 50, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 328, 7861, 12264, 101, 320, 83193, 15, 340, 6774, 83193, 15, 8, 75078, 320, 83193, 50, 595, 12264, 101, 320, 83193, 50, 595, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 50, 8, 12264, 101, 320, 83193, 50, 595, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 7, 50, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 50, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 50, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 50, 1192, 7, 83193, 50, 8, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 50, 8, 12264, 101, 320, 83193, 50, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 50, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 50, 1192, 7, 83193, 50, 8, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 567, "data_type": "boolean", "txt": "Original: (\u00ac(0 \u2228 S)) \u2228 ((\u00ac0) \u2228 (\u00acS))\n\nOptions:\n((\u00ac0) \u2228 (\u00acS)) \u2228 (\u00ac(0 \u2228 S))\n((\u00ac(0 \u2228 S)) \u2228 (\u00ac0)) \u2228 (\u00acS)\n(\u00ac(0 \u2228 S)) \u2228 ((\u00acS) \u2228 (\u00ac0))\n(\u00ac(0 \u2228 S)) \u2228 (1 \u2228 (\u00acS))\n((\u00ac0) \u2227 (\u00acS)) \u2228 ((\u00ac0) \u2228 (\u00acS))\n(\u00acS) \u2228 ((\u00ac0) \u2228 (\u00acS))\n(\u00ac(S \u2228 0)) \u2228 ((\u00ac0) \u2228 (\u00acS))\nChosen: (\u00ac(0 \u2228 S)) \u2228 ((\u00acS) \u2228 (\u00ac0))\n\nOptions:\n((\u00acS) \u2228 (\u00ac0)) \u2228 (\u00ac(0 \u2228 S))\n((\u00ac(0 \u2228 S)) \u2228 (\u00acS)) \u2228 (\u00ac0)\n(\u00ac(0 \u2228 S)) \u2228 ((\u00acS) \u2228 1)\n((\u00ac0) \u2227 (\u00acS)) \u2228 ((\u00acS) \u2228 (\u00ac0))\n(\u00acS) \u2228 ((\u00acS) \u2228 (\u00ac0))\n(\u00ac(S \u2228 0)) \u2228 ((\u00acS) \u2228 (\u00ac0))\nChosen: ((\u00ac(0 \u2228 S)) \u2228 (\u00acS)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 ((\u00ac(0 \u2228 S)) \u2228 (\u00acS))\n((\u00ac(0 \u2228 S)) \u2228 (\u00acS)) \u2228 1\n((\u00acS) \u2228 (\u00ac(0 \u2228 S))) \u2228 (\u00ac0)\n(((\u00ac0) \u2227 (\u00acS)) \u2228 (\u00acS)) \u2228 (\u00ac0)\n((\u00acS) \u2228 (\u00acS)) \u2228 (\u00ac0)\n((\u00ac(S \u2228 0)) \u2228 (\u00acS)) \u2228 (\u00ac0)\nChosen: ((\u00acS) \u2228 (\u00acS)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 ((\u00acS) \u2228 (\u00acS))\n(\u00acS) \u2228 ((\u00acS) \u2228 (\u00ac0))\n((\u00acS) \u2228 (\u00acS)) \u2228 1\nChosen: ((\u00acS) \u2228 (\u00acS)) \u2228 1\n\nOptions:\n1\n1 \u2228 ((\u00acS) \u2228 (\u00acS))\n(\u00acS) \u2228 ((\u00acS) \u2228 1)\nChosen: 1", "id": 154}, {"char_len": 109, "tokens": [18902, 25, 97265, 7, 83193, 7, 16, 75078, 220, 15, 4489, 3883, 512, 16, 75078, 220, 15, 198, 83193, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 83193, 7, 83193, 15, 340, 83193, 7, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 83193, 15, 696, 3883, 512, 15, 198, 83193, 16, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 63, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(1 \u2227 0))\n\nOptions:\n1 \u2227 0\n\u00ac((\u00ac1) \u2228 (\u00ac0))\n\u00ac(\u00ac0)\n\u00ac(\u00ac(0 \u2227 1))\nChosen: \u00ac(\u00ac0)\n\nOptions:\n0\n\u00ac1\nChosen: 0", "id": 155}, {"char_len": 433, "tokens": [18902, 25, 97265, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 432, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 432, 1192, 83193, 1209, 16, 12264, 101, 432, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 83193, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 432, 340, 83193, 7, 16, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 432, 6054, 83193, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 83193, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 49, 12264, 101, 220, 16, 1192, 83193, 7, 16, 12264, 101, 320, 16, 12264, 101, 432, 1192, 1163, 8477, 25, 97265, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 432, 696, 3883, 512, 7, 83193, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 595, 75078, 320, 83193, 49, 340, 83193, 7, 49, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 1192, 83193, 7, 16, 12264, 101, 432, 340, 83193, 1209, 16, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 432, 340, 83193, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 432, 340, 1163, 8477, 25, 97265, 7, 16, 12264, 101, 432, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 49, 340, 83193, 16, 198, 83193, 7, 49, 12264, 101, 220, 16, 340, 1163, 8477, 25, 97265, 7, 49, 12264, 101, 220, 16, 696, 3883, 512, 7, 83193, 49, 8, 75078, 320, 83193, 16, 340, 83193, 16, 198, 1163, 8477, 25, 97265, 16, 271, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 292, "data_type": "boolean", "txt": "Original: \u00ac((1 \u2228 1) \u2228 (1 \u2228 R))\n\nOptions:\n(\u00ac(1 \u2228 1)) \u2227 (\u00ac(1 \u2228 R))\n\u00ac((1 \u2228 R) \u2228 (1 \u2228 1))\n\u00ac(((1 \u2228 1) \u2228 1) \u2228 R)\n\u00ac(1 \u2228 (1 \u2228 (1 \u2228 R)))\n\u00ac((1 \u2228 1) \u2228 1)\n\u00ac((1 \u2228 1) \u2228 (R \u2228 1))\n\u00ac(1 \u2228 (1 \u2228 R))\nChosen: \u00ac(((1 \u2228 1) \u2228 1) \u2228 R)\n\nOptions:\n(\u00ac((1 \u2228 1) \u2228 1)) \u2227 (\u00acR)\n\u00ac(R \u2228 ((1 \u2228 1) \u2228 1))\n\u00ac(1 \u2228 R)\n\u00ac((1 \u2228 (1 \u2228 1)) \u2228 R)\n\u00ac((1 \u2228 1) \u2228 R)\nChosen: \u00ac(1 \u2228 R)\n\nOptions:\n(\u00ac1) \u2227 (\u00acR)\n\u00ac1\n\u00ac(R \u2228 1)\nChosen: \u00ac(R \u2228 1)\n\nOptions:\n(\u00acR) \u2227 (\u00ac1)\n\u00ac1\nChosen: \u00ac1\n\nOptions:\n0\nChosen: 0", "id": 156}, {"char_len": 409, "tokens": [18902, 25, 97265, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 435, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 16, 75078, 435, 1192, 83193, 1209, 16, 75078, 435, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 83193, 7, 16, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 435, 6054, 83193, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 435, 1192, 83193, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 435, 340, 83193, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 37, 75078, 220, 16, 1192, 83193, 7, 16, 12264, 101, 320, 16, 75078, 435, 1192, 83193, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 435, 1192, 1163, 8477, 25, 97265, 7, 16, 12264, 101, 320, 16, 75078, 435, 4489, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 7, 16, 75078, 435, 1192, 83193, 16, 198, 83193, 1209, 16, 75078, 435, 8, 12264, 101, 220, 16, 340, 83193, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 435, 1192, 83193, 7, 16, 12264, 101, 435, 340, 83193, 7, 16, 12264, 101, 320, 37, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 16, 12264, 101, 435, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 37, 340, 83193, 16, 198, 83193, 7, 37, 12264, 101, 220, 16, 340, 1163, 8477, 25, 97265, 16, 271, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 264, "data_type": "boolean", "txt": "Original: \u00ac((1 \u2228 0) \u2228 (1 \u2227 F))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2227 (\u00ac(1 \u2227 F))\n\u00ac((1 \u2227 F) \u2228 (1 \u2228 0))\n\u00ac(1 \u2228 (0 \u2228 (1 \u2227 F)))\n\u00ac(((1 \u2228 0) \u2228 1) \u2227 ((1 \u2228 0) \u2228 F))\n\u00ac((1 \u2228 0) \u2228 F)\n\u00ac((1 \u2228 0) \u2228 (F \u2227 1))\n\u00ac(1 \u2228 (1 \u2227 F))\n\u00ac((0 \u2228 1) \u2228 (1 \u2227 F))\nChosen: \u00ac(1 \u2228 (1 \u2227 F))\n\nOptions:\n(\u00ac1) \u2227 (\u00ac(1 \u2227 F))\n\u00ac1\n\u00ac((1 \u2227 F) \u2228 1)\n\u00ac((1 \u2228 1) \u2227 (1 \u2228 F))\n\u00ac(1 \u2228 F)\n\u00ac(1 \u2228 (F \u2227 1))\nChosen: \u00ac(1 \u2228 F)\n\nOptions:\n(\u00ac1) \u2227 (\u00acF)\n\u00ac1\n\u00ac(F \u2228 1)\nChosen: \u00ac1\n\nOptions:\n0\nChosen: 0", "id": 157}, {"char_len": 283, "tokens": [18902, 25, 97265, 1209, 83193, 55, 8, 12264, 101, 320, 55, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 55, 595, 75078, 320, 83193, 7, 55, 75078, 220, 15, 1192, 83193, 1209, 55, 75078, 220, 15, 8, 12264, 101, 320, 83193, 55, 1192, 83193, 6774, 83193, 55, 8, 12264, 101, 1630, 8, 75078, 1819, 83193, 55, 8, 12264, 101, 220, 15, 1192, 83193, 1209, 83193, 55, 8, 12264, 101, 220, 15, 340, 83193, 1209, 83193, 55, 8, 12264, 101, 320, 15, 75078, 1630, 1192, 1163, 8477, 25, 97265, 1209, 83193, 55, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 83193, 55, 595, 75078, 320, 83193, 15, 340, 83193, 7, 83193, 55, 340, 83193, 7, 15, 12264, 101, 320, 83193, 55, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 320, 83193, 55, 4489, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 83193, 55, 1192, 83193, 7, 83193, 55, 340, 1163, 8477, 25, 97265, 7, 83193, 55, 696, 3883, 512, 55, 198, 1163, 8477, 25, 1630], "tokenizer": "cl100k_base", "tokens_len": 172, "data_type": "boolean", "txt": "Original: \u00ac((\u00acX) \u2228 (X \u2227 0))\n\nOptions:\n(\u00ac(\u00acX)) \u2227 (\u00ac(X \u2227 0))\n\u00ac((X \u2227 0) \u2228 (\u00acX))\n\u00ac(((\u00acX) \u2228 X) \u2227 ((\u00acX) \u2228 0))\n\u00ac((\u00acX) \u2228 0)\n\u00ac((\u00acX) \u2228 (0 \u2227 X))\nChosen: \u00ac((\u00acX) \u2228 0)\n\nOptions:\n(\u00ac(\u00acX)) \u2227 (\u00ac0)\n\u00ac(\u00acX)\n\u00ac(0 \u2228 (\u00acX))\nChosen: \u00ac(0 \u2228 (\u00acX))\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(\u00acX))\n\u00ac(\u00acX)\nChosen: \u00ac(\u00acX)\n\nOptions:\nX\nChosen: X", "id": 158}, {"char_len": 573, "tokens": [18902, 25, 97265, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 83193, 1209, 16, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 83193, 7, 16, 75078, 320, 83193, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 97265, 1209, 16, 12264, 101, 220, 15, 8, 75078, 220, 16, 696, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 16, 340, 83193, 7, 16, 12264, 101, 220, 15, 340, 83193, 7, 16, 75078, 320, 16, 12264, 101, 220, 15, 1192, 83193, 7, 16, 75078, 220, 16, 340, 83193, 1209, 15, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 198, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 16, 8, 12264, 101, 320, 83193, 16, 340, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 271, 3883, 512, 83193, 7, 16, 12264, 101, 220, 15, 340, 15, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 12264, 101, 220, 15, 198, 7, 83193, 16, 8, 12264, 101, 220, 15, 198, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 595, 12264, 101, 220, 15, 271, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 15, 340, 15, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 220, 15, 198, 1209, 83193, 16, 8, 75078, 220, 16, 8, 12264, 101, 220, 15, 198, 7, 15, 75078, 320, 83193, 15, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 83193, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 406, "data_type": "boolean", "txt": "Original: \u00ac((1 \u2228 0) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac0) \u2227 (1 \u2228 0))\n\u00ac((1 \u2228 0) \u2227 1)\n\u00ac(1 \u2227 (\u00ac0))\n\u00ac((0 \u2228 1) \u2227 (\u00ac0))\nChosen: \u00ac((1 \u2228 0) \u2227 1)\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2228 (\u00ac1)\n\u00ac(1 \u2228 0)\n\u00ac(1 \u2227 (1 \u2228 0))\n\u00ac(1 \u2227 1)\n\u00ac((0 \u2228 1) \u2227 1)\nChosen: (\u00ac(1 \u2228 0)) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 (\u00ac(1 \u2228 0))\n(\u00ac(1 \u2228 0)) \u2228 0\n((\u00ac1) \u2227 (\u00ac0)) \u2228 (\u00ac1)\n(\u00ac1) \u2228 (\u00ac1)\n(\u00ac(0 \u2228 1)) \u2228 (\u00ac1)\nChosen: (\u00ac(1 \u2228 0)) \u2228 0\n\nOptions:\n\u00ac(1 \u2228 0)\n0 \u2228 (\u00ac(1 \u2228 0))\n((\u00ac1) \u2227 (\u00ac0)) \u2228 0\n(\u00ac1) \u2228 0\n(\u00ac(0 \u2228 1)) \u2228 0\nChosen: ((\u00ac1) \u2227 (\u00ac0)) \u2228 0\n\nOptions:\n(\u00ac1) \u2227 (\u00ac0)\n0 \u2228 ((\u00ac1) \u2227 (\u00ac0))\n((\u00ac0) \u2227 (\u00ac1)) \u2228 0\n((\u00ac1) \u2227 1) \u2228 0\n(0 \u2227 (\u00ac0)) \u2228 0\nChosen: (\u00ac1) \u2227 (\u00ac0)", "id": 159}, {"char_len": 1257, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 358, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 358, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 358, 595, 75078, 320, 83193, 7, 16, 12264, 101, 358, 1192, 1209, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 34, 12264, 101, 358, 340, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 1819, 34, 12264, 101, 358, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 11861, 16, 12264, 101, 220, 15, 8, 75078, 356, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 358, 1192, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 40, 12264, 101, 356, 1192, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 16, 75078, 320, 34, 12264, 101, 358, 1192, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 34, 12264, 101, 358, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 358, 1192, 7, 83193, 16, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 358, 1192, 7, 83193, 7, 40, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 358, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 16, 75078, 320, 34, 12264, 101, 358, 4489, 3883, 512, 7, 16, 75078, 320, 34, 12264, 101, 358, 595, 75078, 320, 83193, 7, 16, 12264, 101, 358, 1192, 1209, 83193, 7, 16, 12264, 101, 358, 595, 75078, 220, 16, 8, 75078, 320, 34, 12264, 101, 358, 340, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 34, 12264, 101, 358, 340, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 1819, 34, 12264, 101, 358, 8, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 1819, 16, 75078, 356, 8, 12264, 101, 320, 16, 75078, 358, 1192, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 16, 75078, 320, 40, 12264, 101, 356, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 320, 16, 75078, 320, 34, 12264, 101, 358, 1192, 7, 83193, 16, 8, 75078, 320, 16, 75078, 320, 34, 12264, 101, 358, 1192, 7, 83193, 7, 40, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 320, 34, 12264, 101, 358, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 34, 12264, 101, 358, 696, 3883, 512, 3100, 12264, 101, 358, 8, 75078, 320, 83193, 7, 16, 12264, 101, 358, 1192, 1209, 83193, 7, 16, 12264, 101, 358, 595, 75078, 356, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 358, 595, 75078, 358, 340, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 40, 12264, 101, 356, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 320, 34, 12264, 101, 358, 340, 7, 83193, 16, 8, 75078, 320, 34, 12264, 101, 358, 340, 7, 83193, 7, 40, 12264, 101, 220, 16, 595, 75078, 320, 34, 12264, 101, 358, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 320, 34, 12264, 101, 358, 696, 3883, 512, 3100, 12264, 101, 358, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 40, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 40, 8, 75078, 320, 34, 12264, 101, 358, 1192, 6774, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 356, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 358, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 320, 40, 12264, 101, 356, 340, 1209, 83193, 40, 8, 75078, 320, 83193, 16, 595, 75078, 320, 34, 12264, 101, 358, 340, 7, 15, 75078, 320, 83193, 40, 595, 75078, 320, 34, 12264, 101, 358, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 320, 40, 12264, 101, 356, 696, 3883, 512, 9149, 12264, 101, 356, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 40, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 40, 8, 75078, 320, 40, 12264, 101, 356, 1192, 6774, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 358, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 356, 340, 1209, 83193, 40, 8, 75078, 320, 83193, 16, 595, 75078, 320, 40, 12264, 101, 356, 340, 7, 15, 75078, 320, 83193, 40, 595, 75078, 320, 40, 12264, 101, 356, 340, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 1819, 83193, 40, 8, 75078, 320, 40, 12264, 101, 356, 595], "tokenizer": "cl100k_base", "tokens_len": 810, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 I)) \u2227 ((1 \u2228 0) \u2227 (C \u2228 I))\n\nOptions:\n((1 \u2228 0) \u2227 (C \u2228 I)) \u2227 (\u00ac(1 \u2228 I))\n((\u00ac(1 \u2228 I)) \u2227 (1 \u2228 0)) \u2227 (C \u2228 I)\n(\u00ac(1 \u2228 I)) \u2227 ((C \u2228 I) \u2227 (1 \u2228 0))\n(\u00ac(1 \u2228 I)) \u2227 (((1 \u2228 0) \u2227 C) \u2228 ((1 \u2228 0) \u2227 I))\n(\u00ac(1 \u2228 I)) \u2227 ((1 \u2228 0) \u2227 (I \u2228 C))\n(\u00ac(1 \u2228 I)) \u2227 (1 \u2227 (C \u2228 I))\n(\u00ac(1 \u2228 I)) \u2227 ((0 \u2228 1) \u2227 (C \u2228 I))\n((\u00ac1) \u2227 (\u00acI)) \u2227 ((1 \u2228 0) \u2227 (C \u2228 I))\n(\u00ac1) \u2227 ((1 \u2228 0) \u2227 (C \u2228 I))\n(\u00ac(I \u2228 1)) \u2227 ((1 \u2228 0) \u2227 (C \u2228 I))\nChosen: (\u00ac(1 \u2228 I)) \u2227 (1 \u2227 (C \u2228 I))\n\nOptions:\n(1 \u2227 (C \u2228 I)) \u2227 (\u00ac(1 \u2228 I))\n((\u00ac(1 \u2228 I)) \u2227 1) \u2227 (C \u2228 I)\n(\u00ac(1 \u2228 I)) \u2227 (C \u2228 I)\n(\u00ac(1 \u2228 I)) \u2227 ((C \u2228 I) \u2227 1)\n(\u00ac(1 \u2228 I)) \u2227 ((1 \u2227 C) \u2228 (1 \u2227 I))\n(\u00ac(1 \u2228 I)) \u2227 (1 \u2227 (I \u2228 C))\n((\u00ac1) \u2227 (\u00acI)) \u2227 (1 \u2227 (C \u2228 I))\n(\u00ac1) \u2227 (1 \u2227 (C \u2228 I))\n(\u00ac(I \u2228 1)) \u2227 (1 \u2227 (C \u2228 I))\nChosen: (\u00ac(1 \u2228 I)) \u2227 (C \u2228 I)\n\nOptions:\n(C \u2228 I) \u2227 (\u00ac(1 \u2228 I))\n((\u00ac(1 \u2228 I)) \u2227 C) \u2228 ((\u00ac(1 \u2228 I)) \u2227 I)\n(\u00ac(1 \u2228 I)) \u2227 (I \u2228 C)\n((\u00ac1) \u2227 (\u00acI)) \u2227 (C \u2228 I)\n(\u00ac1) \u2227 (C \u2228 I)\n(\u00ac(I \u2228 1)) \u2227 (C \u2228 I)\nChosen: ((\u00ac1) \u2227 (\u00acI)) \u2227 (C \u2228 I)\n\nOptions:\n(C \u2228 I) \u2227 ((\u00ac1) \u2227 (\u00acI))\n(\u00ac1) \u2227 ((\u00acI) \u2227 (C \u2228 I))\n(((\u00ac1) \u2227 (\u00acI)) \u2227 C) \u2228 (((\u00ac1) \u2227 (\u00acI)) \u2227 I)\n((\u00ac1) \u2227 (\u00acI)) \u2227 (I \u2228 C)\n((\u00acI) \u2227 (\u00ac1)) \u2227 (C \u2228 I)\n(0 \u2227 (\u00acI)) \u2227 (C \u2228 I)\nChosen: ((\u00ac1) \u2227 (\u00acI)) \u2227 (I \u2228 C)\n\nOptions:\n(I \u2228 C) \u2227 ((\u00ac1) \u2227 (\u00acI))\n(\u00ac1) \u2227 ((\u00acI) \u2227 (I \u2228 C))\n(((\u00ac1) \u2227 (\u00acI)) \u2227 I) \u2228 (((\u00ac1) \u2227 (\u00acI)) \u2227 C)\n((\u00acI) \u2227 (\u00ac1)) \u2227 (I \u2228 C)\n(0 \u2227 (\u00acI)) \u2227 (I \u2228 C)\nChosen: (\u00ac1) \u2227 ((\u00acI) \u2227 (I \u2228 C))", "id": 160}, {"char_len": 927, "tokens": [18902, 25, 320, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 37, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 37, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 40, 75078, 220, 16, 1192, 7, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 320, 83193, 37, 340, 7, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 435, 1192, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 37, 75078, 220, 16, 1192, 7, 83193, 40, 8, 12264, 101, 320, 83193, 7, 37, 75078, 220, 16, 1192, 7, 83193, 7, 16, 75078, 358, 595, 12264, 101, 320, 83193, 7, 37, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 75078, 358, 595, 12264, 101, 320, 83193, 7, 37, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 37, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 358, 1192, 7, 83193, 7, 16, 75078, 358, 595, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 16, 75078, 358, 595, 12264, 101, 320, 83193, 37, 340, 7, 83193, 7, 16, 75078, 358, 595, 12264, 101, 320, 83193, 7, 16, 75078, 435, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 320, 83193, 7, 37, 75078, 220, 16, 1192, 7, 83193, 40, 8, 12264, 101, 320, 83193, 7, 37, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 75078, 358, 595, 12264, 101, 320, 83193, 7, 16, 75078, 435, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 435, 595, 12264, 101, 320, 83193, 7, 16, 75078, 358, 1192, 7, 83193, 7, 16, 75078, 358, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 37, 1192, 7, 83193, 7, 16, 75078, 358, 595, 12264, 101, 320, 83193, 37, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 320, 83193, 7, 16, 75078, 435, 1192, 7, 83193, 40, 8, 12264, 101, 320, 83193, 7, 16, 75078, 435, 1192, 7, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 435, 1192, 1163, 8477, 25, 320, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 435, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 435, 595, 12264, 101, 320, 83193, 7, 40, 75078, 220, 16, 1192, 7, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 37, 1192, 7, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 320, 83193, 37, 340, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 435, 1192, 7, 83193, 40, 8, 12264, 101, 320, 83193, 7, 16, 75078, 435, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 75078, 435, 595, 12264, 101, 320, 83193, 7, 40, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 435, 595, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 16, 75078, 435, 595, 12264, 101, 320, 83193, 40, 340, 7, 83193, 7, 16, 75078, 435, 595, 12264, 101, 320, 83193, 7, 16, 75078, 358, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 40, 75078, 220, 16, 1192, 7, 83193, 37, 8, 12264, 101, 320, 83193, 7, 40, 75078, 220, 16, 1192, 7, 83193, 7, 37, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 40, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 37, 8, 12264, 101, 320, 83193, 7, 40, 75078, 220, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 625, "data_type": "boolean", "txt": "Original: (\u00ac(I \u2227 1)) \u2228 (\u00ac(F \u2227 1))\n\nOptions:\n(\u00ac(F \u2227 1)) \u2228 (\u00ac(I \u2227 1))\n(\u00ac(I \u2227 1)) \u2228 ((\u00acF) \u2228 (\u00ac1))\n(\u00ac(I \u2227 1)) \u2228 (\u00acF)\n(\u00ac(I \u2227 1)) \u2228 (\u00ac(1 \u2227 F))\n((\u00acI) \u2228 (\u00ac1)) \u2228 (\u00ac(F \u2227 1))\n(\u00acI) \u2228 (\u00ac(F \u2227 1))\n(\u00ac(1 \u2227 I)) \u2228 (\u00ac(F \u2227 1))\nChosen: (\u00ac(1 \u2227 I)) \u2228 (\u00ac(F \u2227 1))\n\nOptions:\n(\u00ac(F \u2227 1)) \u2228 (\u00ac(1 \u2227 I))\n(\u00ac(1 \u2227 I)) \u2228 ((\u00acF) \u2228 (\u00ac1))\n(\u00ac(1 \u2227 I)) \u2228 (\u00acF)\n(\u00ac(1 \u2227 I)) \u2228 (\u00ac(1 \u2227 F))\n((\u00ac1) \u2228 (\u00acI)) \u2228 (\u00ac(F \u2227 1))\n(\u00acI) \u2228 (\u00ac(F \u2227 1))\nChosen: (\u00ac(1 \u2227 I)) \u2228 (\u00ac(1 \u2227 F))\n\nOptions:\n(\u00ac(1 \u2227 F)) \u2228 (\u00ac(1 \u2227 I))\n(\u00ac(1 \u2227 I)) \u2228 ((\u00ac1) \u2228 (\u00acF))\n(\u00ac(1 \u2227 I)) \u2228 (\u00acF)\n((\u00ac1) \u2228 (\u00acI)) \u2228 (\u00ac(1 \u2227 F))\n(\u00acI) \u2228 (\u00ac(1 \u2227 F))\n(\u00ac(I \u2227 1)) \u2228 (\u00ac(1 \u2227 F))\nChosen: (\u00ac(I \u2227 1)) \u2228 (\u00ac(1 \u2227 F))\n\nOptions:\n(\u00ac(1 \u2227 F)) \u2228 (\u00ac(I \u2227 1))\n(\u00ac(I \u2227 1)) \u2228 ((\u00ac1) \u2228 (\u00acF))\n(\u00ac(I \u2227 1)) \u2228 (\u00acF)\n((\u00acI) \u2228 (\u00ac1)) \u2228 (\u00ac(1 \u2227 F))\n(\u00acI) \u2228 (\u00ac(1 \u2227 F))\nChosen: (\u00ac(1 \u2227 F)) \u2228 (\u00ac(I \u2227 1))\n\nOptions:\n(\u00ac(1 \u2227 F)) \u2228 ((\u00acI) \u2228 (\u00ac1))\n(\u00ac(1 \u2227 F)) \u2228 (\u00acI)\n(\u00ac(1 \u2227 F)) \u2228 (\u00ac(1 \u2227 I))\n((\u00ac1) \u2228 (\u00acF)) \u2228 (\u00ac(I \u2227 1))\n(\u00acF) \u2228 (\u00ac(I \u2227 1))\n(\u00ac(F \u2227 1)) \u2228 (\u00ac(I \u2227 1))\nChosen: (\u00acF) \u2228 (\u00ac(I \u2227 1))", "id": 161}, {"char_len": 1026, "tokens": [18902, 25, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 54, 75078, 350, 595, 75078, 320, 83193, 7, 54, 12264, 101, 468, 4489, 3883, 512, 7, 83193, 7, 54, 12264, 101, 468, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 54, 75078, 350, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 54, 75078, 350, 595, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 54, 75078, 350, 595, 75078, 320, 83193, 54, 340, 1209, 54, 75078, 350, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 54, 12264, 101, 468, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 320, 54, 75078, 350, 7861, 75078, 320, 83193, 7, 54, 12264, 101, 468, 1192, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 468, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 350, 595, 75078, 320, 83193, 7, 54, 12264, 101, 468, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 51, 75078, 468, 595, 75078, 320, 83193, 7, 54, 12264, 101, 468, 1192, 7, 16, 12264, 101, 320, 54, 75078, 350, 595, 75078, 320, 83193, 7, 54, 12264, 101, 468, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 54, 75078, 350, 595, 75078, 320, 83193, 7, 54, 12264, 101, 468, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 54, 75078, 350, 595, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 4489, 3883, 512, 1209, 83193, 54, 8, 75078, 320, 83193, 54, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 54, 75078, 350, 1192, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 54, 75078, 350, 595, 75078, 320, 83193, 54, 595, 75078, 320, 83193, 54, 340, 1209, 54, 75078, 350, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 320, 54, 75078, 350, 7861, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 1192, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 468, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 350, 595, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 51, 75078, 468, 595, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 1192, 7, 16, 12264, 101, 320, 54, 75078, 350, 595, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 54, 75078, 350, 595, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 320, 54, 75078, 350, 595, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 4489, 3883, 512, 1209, 83193, 54, 8, 75078, 320, 83193, 54, 595, 75078, 320, 16, 12264, 101, 320, 54, 75078, 350, 1192, 1209, 16, 12264, 101, 320, 54, 75078, 350, 595, 75078, 320, 83193, 54, 595, 75078, 320, 83193, 54, 340, 16, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 1192, 1209, 54, 75078, 350, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 1192, 1209, 16, 12264, 101, 468, 8, 75078, 320, 16, 12264, 101, 350, 595, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 1192, 7, 16, 12264, 101, 320, 51, 75078, 468, 595, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 1192, 1163, 8477, 25, 220, 16, 75078, 1819, 83193, 54, 8, 75078, 320, 83193, 54, 4489, 3883, 512, 7, 83193, 54, 8, 75078, 320, 83193, 54, 340, 1209, 83193, 54, 8, 75078, 320, 83193, 54, 595, 75078, 220, 16, 198, 7, 16, 75078, 320, 83193, 54, 595, 75078, 320, 83193, 54, 340, 1163, 8477, 25, 320, 83193, 54, 8, 75078, 320, 83193, 54, 8], "tokenizer": "cl100k_base", "tokens_len": 656, "data_type": "boolean", "txt": "Original: ((1 \u2228 0) \u2228 (W \u2227 T)) \u2227 (\u00ac(W \u2228 W))\n\nOptions:\n(\u00ac(W \u2228 W)) \u2227 ((1 \u2228 0) \u2228 (W \u2227 T))\n((1 \u2228 0) \u2228 (W \u2227 T)) \u2227 ((\u00acW) \u2227 (\u00acW))\n((1 \u2228 0) \u2228 (W \u2227 T)) \u2227 (\u00acW)\n((W \u2227 T) \u2228 (1 \u2228 0)) \u2227 (\u00ac(W \u2228 W))\n(1 \u2228 (0 \u2228 (W \u2227 T))) \u2227 (\u00ac(W \u2228 W))\n(((1 \u2228 0) \u2228 W) \u2227 ((1 \u2228 0) \u2228 T)) \u2227 (\u00ac(W \u2228 W))\n((1 \u2228 0) \u2228 (T \u2227 W)) \u2227 (\u00ac(W \u2228 W))\n(1 \u2228 (W \u2227 T)) \u2227 (\u00ac(W \u2228 W))\n((0 \u2228 1) \u2228 (W \u2227 T)) \u2227 (\u00ac(W \u2228 W))\nChosen: ((1 \u2228 0) \u2228 (W \u2227 T)) \u2227 ((\u00acW) \u2227 (\u00acW))\n\nOptions:\n((\u00acW) \u2227 (\u00acW)) \u2227 ((1 \u2228 0) \u2228 (W \u2227 T))\n(((1 \u2228 0) \u2228 (W \u2227 T)) \u2227 (\u00acW)) \u2227 (\u00acW)\n((W \u2227 T) \u2228 (1 \u2228 0)) \u2227 ((\u00acW) \u2227 (\u00acW))\n(1 \u2228 (0 \u2228 (W \u2227 T))) \u2227 ((\u00acW) \u2227 (\u00acW))\n(((1 \u2228 0) \u2228 W) \u2227 ((1 \u2228 0) \u2228 T)) \u2227 ((\u00acW) \u2227 (\u00acW))\n((1 \u2228 0) \u2228 (T \u2227 W)) \u2227 ((\u00acW) \u2227 (\u00acW))\n(1 \u2228 (W \u2227 T)) \u2227 ((\u00acW) \u2227 (\u00acW))\n((0 \u2228 1) \u2228 (W \u2227 T)) \u2227 ((\u00acW) \u2227 (\u00acW))\nChosen: (1 \u2228 (W \u2227 T)) \u2227 ((\u00acW) \u2227 (\u00acW))\n\nOptions:\n((\u00acW) \u2227 (\u00acW)) \u2227 (1 \u2228 (W \u2227 T))\n((1 \u2228 (W \u2227 T)) \u2227 (\u00acW)) \u2227 (\u00acW)\n1 \u2227 ((\u00acW) \u2227 (\u00acW))\n((W \u2227 T) \u2228 1) \u2227 ((\u00acW) \u2227 (\u00acW))\n((1 \u2228 W) \u2227 (1 \u2228 T)) \u2227 ((\u00acW) \u2227 (\u00acW))\n(1 \u2228 (T \u2227 W)) \u2227 ((\u00acW) \u2227 (\u00acW))\nChosen: 1 \u2227 ((\u00acW) \u2227 (\u00acW))\n\nOptions:\n(\u00acW) \u2227 (\u00acW)\n((\u00acW) \u2227 (\u00acW)) \u2227 1\n(1 \u2227 (\u00acW)) \u2227 (\u00acW)\nChosen: (\u00acW) \u2227 (\u00acW)", "id": 162}, {"char_len": 972, "tokens": [18902, 25, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 33, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 33, 75078, 220, 15, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 7, 16, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 33, 75078, 220, 15, 6054, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 33, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 15, 340, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 75078, 426, 1192, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 33, 75078, 220, 15, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 33, 75078, 220, 15, 1192, 7, 16, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 33, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 33, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 33, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 33, 75078, 220, 15, 595, 75078, 320, 16, 75078, 320, 83193, 15, 1192, 16, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 33, 75078, 220, 15, 6054, 7, 16, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 33, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 15, 340, 7, 16, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 75078, 426, 1192, 7, 83193, 15, 8, 75078, 320, 83193, 7, 33, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 33, 75078, 220, 15, 1192, 7, 16, 75078, 220, 16, 8, 75078, 320, 83193, 7, 33, 75078, 220, 15, 1192, 1163, 8477, 25, 220, 16, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 33, 75078, 220, 15, 19789, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 33, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 7, 33, 75078, 220, 15, 7861, 75078, 220, 16, 198, 16, 75078, 1819, 83193, 7, 33, 75078, 220, 15, 595, 75078, 320, 83193, 15, 1192, 16, 75078, 1819, 83193, 15, 8, 75078, 1819, 83193, 33, 8, 12264, 101, 320, 83193, 15, 6054, 16, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 1192, 16, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 15, 75078, 426, 6054, 16, 75078, 320, 16, 75078, 320, 83193, 7, 33, 75078, 220, 15, 6054, 1163, 8477, 25, 220, 16, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 75078, 220, 16, 198, 7, 16, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 15, 340, 16, 75078, 1819, 83193, 15, 8, 75078, 220, 16, 340, 16, 75078, 320, 16, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 220, 16, 75078, 1819, 83193, 15, 8, 75078, 220, 16, 696, 3883, 512, 7, 83193, 15, 8, 75078, 220, 16, 198, 1209, 83193, 15, 8, 75078, 220, 16, 8, 75078, 220, 16, 198, 7, 16, 75078, 320, 83193, 15, 595, 75078, 220, 16, 198, 16, 75078, 320, 83193, 15, 340, 16, 75078, 320, 16, 75078, 320, 83193, 15, 1192, 16, 75078, 320, 16, 75078, 220, 16, 340, 1163, 8477, 25, 220, 16, 75078, 320, 16, 75078, 320, 83193, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 621, "data_type": "boolean", "txt": "Original: ((1 \u2228 0) \u2227 (\u00ac0)) \u2227 (\u00ac(B \u2227 0))\n\nOptions:\n(\u00ac(B \u2227 0)) \u2227 ((1 \u2228 0) \u2227 (\u00ac0))\n(1 \u2228 0) \u2227 ((\u00ac0) \u2227 (\u00ac(B \u2227 0)))\n((1 \u2228 0) \u2227 (\u00ac0)) \u2227 ((\u00acB) \u2228 (\u00ac0))\n((1 \u2228 0) \u2227 (\u00ac0)) \u2227 (\u00ac0)\n((1 \u2228 0) \u2227 (\u00ac0)) \u2227 (\u00ac(0 \u2227 B))\n((\u00ac0) \u2227 (1 \u2228 0)) \u2227 (\u00ac(B \u2227 0))\n((1 \u2228 0) \u2227 1) \u2227 (\u00ac(B \u2227 0))\n(1 \u2227 (\u00ac0)) \u2227 (\u00ac(B \u2227 0))\n((0 \u2228 1) \u2227 (\u00ac0)) \u2227 (\u00ac(B \u2227 0))\nChosen: (1 \u2227 (\u00ac0)) \u2227 (\u00ac(B \u2227 0))\n\nOptions:\n(\u00ac(B \u2227 0)) \u2227 (1 \u2227 (\u00ac0))\n1 \u2227 ((\u00ac0) \u2227 (\u00ac(B \u2227 0)))\n(1 \u2227 (\u00ac0)) \u2227 ((\u00acB) \u2228 (\u00ac0))\n(1 \u2227 (\u00ac0)) \u2227 (\u00ac0)\n(1 \u2227 (\u00ac0)) \u2227 (\u00ac(0 \u2227 B))\n(\u00ac0) \u2227 (\u00ac(B \u2227 0))\n((\u00ac0) \u2227 1) \u2227 (\u00ac(B \u2227 0))\n(1 \u2227 1) \u2227 (\u00ac(B \u2227 0))\nChosen: 1 \u2227 ((\u00ac0) \u2227 (\u00ac(B \u2227 0)))\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(B \u2227 0))\n((\u00ac0) \u2227 (\u00ac(B \u2227 0))) \u2227 1\n1 \u2227 ((\u00ac(B \u2227 0)) \u2227 (\u00ac0))\n1 \u2227 ((\u00ac0) \u2227 ((\u00acB) \u2228 (\u00ac0)))\n1 \u2227 ((\u00ac0) \u2227 (\u00ac0))\n1 \u2227 ((\u00ac0) \u2227 (\u00ac(0 \u2227 B)))\n1 \u2227 (1 \u2227 (\u00ac(B \u2227 0)))\nChosen: 1 \u2227 ((\u00ac0) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac0) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (\u00ac0)) \u2227 1\n(1 \u2227 (\u00ac0)) \u2227 (\u00ac0)\n1 \u2227 ((\u00ac0) \u2227 1)\n1 \u2227 (1 \u2227 (\u00ac0))\nChosen: 1 \u2227 ((\u00ac0) \u2227 1)\n\nOptions:\n(\u00ac0) \u2227 1\n((\u00ac0) \u2227 1) \u2227 1\n(1 \u2227 (\u00ac0)) \u2227 1\n1 \u2227 (\u00ac0)\n1 \u2227 (1 \u2227 (\u00ac0))\n1 \u2227 (1 \u2227 1)\nChosen: 1 \u2227 (1 \u2227 (\u00ac0))", "id": 163}, {"char_len": 1971, "tokens": [18902, 25, 1819, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 38, 12264, 101, 350, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 1192, 6774, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 320, 83193, 16, 340, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 38, 12264, 101, 350, 1192, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 320, 51, 12264, 101, 320, 83193, 16, 6054, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 220, 15, 340, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 1819, 51, 12264, 101, 480, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 51, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 75078, 220, 16, 8, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 350, 595, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 320, 83193, 16, 1192, 7, 16, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 350, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 38, 12264, 101, 350, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 1192, 6774, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 350, 340, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 38, 12264, 101, 350, 1192, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 320, 51, 12264, 101, 220, 15, 1192, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 1819, 51, 12264, 101, 480, 8, 12264, 101, 220, 15, 340, 1209, 51, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 220, 15, 340, 6774, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 75078, 220, 16, 8, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 220, 15, 340, 1209, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 220, 15, 340, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 350, 595, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 220, 15, 340, 7, 16, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 220, 15, 340, 1209, 16, 12264, 101, 350, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 11861, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 271, 3883, 512, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 350, 340, 15, 12264, 101, 11861, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 350, 1192, 1209, 38, 12264, 101, 350, 8, 12264, 101, 1819, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 7861, 12264, 101, 220, 15, 198, 67944, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 480, 8, 12264, 101, 350, 8, 12264, 101, 220, 15, 198, 6774, 51, 12264, 101, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 51, 12264, 101, 480, 595, 12264, 101, 220, 15, 198, 6774, 51, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 67944, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 75078, 220, 16, 8, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 6774, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 6774, 51, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 350, 595, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 1209, 16, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 6774, 16, 12264, 101, 350, 8, 75078, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 11861, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 271, 3883, 512, 1209, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 12264, 101, 320, 38, 12264, 101, 350, 340, 15, 12264, 101, 11861, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 12264, 101, 320, 38, 12264, 101, 350, 1192, 1209, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 220, 15, 340, 1209, 38, 12264, 101, 350, 8, 12264, 101, 1819, 51, 12264, 101, 220, 16, 8, 75078, 350, 595, 12264, 101, 220, 15, 198, 67944, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 12264, 101, 480, 8, 12264, 101, 350, 8, 12264, 101, 220, 15, 198, 6774, 51, 12264, 101, 220, 16, 8, 75078, 350, 8, 12264, 101, 320, 51, 12264, 101, 480, 595, 12264, 101, 220, 15, 198, 1209, 51, 75078, 320, 51, 12264, 101, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 1209, 16, 75078, 350, 8, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 6774, 16, 12264, 101, 350, 8, 75078, 350, 8, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 1819, 16, 75078, 350, 8, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 271, 3883, 512, 7, 16, 75078, 350, 8, 12264, 101, 320, 38, 12264, 101, 350, 340, 15, 12264, 101, 1819, 16, 75078, 350, 8, 12264, 101, 320, 38, 12264, 101, 350, 1192, 7, 16, 75078, 350, 8, 12264, 101, 1819, 38, 12264, 101, 350, 8, 12264, 101, 220, 15, 340, 1209, 38, 12264, 101, 350, 8, 12264, 101, 320, 16, 75078, 350, 595, 12264, 101, 220, 15, 198, 6774, 16, 75078, 350, 8, 12264, 101, 480, 8, 12264, 101, 350, 8, 12264, 101, 220, 15, 198, 1209, 16, 75078, 350, 8, 12264, 101, 320, 51, 12264, 101, 480, 595, 12264, 101, 220, 15, 198, 4233, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 1209, 51, 75078, 220, 16, 8, 12264, 101, 320, 38, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 16, 75078, 350, 8, 12264, 101, 320, 38, 12264, 101, 350, 595], "tokenizer": "cl100k_base", "tokens_len": 1405, "data_type": "boolean", "txt": "Original: ((T \u2228 1) \u2227 (T \u2227 1)) \u2228 ((G \u2228 T) \u2228 (\u00ac1))\n\nOptions:\n((G \u2228 T) \u2228 (\u00ac1)) \u2228 ((T \u2228 1) \u2227 (T \u2227 1))\n(((T \u2228 1) \u2227 (T \u2227 1)) \u2228 (G \u2228 T)) \u2228 (\u00ac1)\n((T \u2228 1) \u2227 (T \u2227 1)) \u2228 ((\u00ac1) \u2228 (G \u2228 T))\n((T \u2228 1) \u2227 (T \u2227 1)) \u2228 (G \u2228 (T \u2228 (\u00ac1)))\n((T \u2228 1) \u2227 (T \u2227 1)) \u2228 ((G \u2228 T) \u2228 0)\n((T \u2228 1) \u2227 (T \u2227 1)) \u2228 ((T \u2228 G) \u2228 (\u00ac1))\n((T \u2227 1) \u2227 (T \u2228 1)) \u2228 ((G \u2228 T) \u2228 (\u00ac1))\n(((T \u2228 1) \u2227 T) \u2227 1) \u2228 ((G \u2228 T) \u2228 (\u00ac1))\n((T \u2228 1) \u2227 T) \u2228 ((G \u2228 T) \u2228 (\u00ac1))\n((T \u2228 1) \u2227 (1 \u2227 T)) \u2228 ((G \u2228 T) \u2228 (\u00ac1))\n(1 \u2227 (T \u2227 1)) \u2228 ((G \u2228 T) \u2228 (\u00ac1))\n((1 \u2228 T) \u2227 (T \u2227 1)) \u2228 ((G \u2228 T) \u2228 (\u00ac1))\nChosen: ((T \u2228 1) \u2227 (T \u2227 1)) \u2228 ((G \u2228 T) \u2228 0)\n\nOptions:\n((G \u2228 T) \u2228 0) \u2228 ((T \u2228 1) \u2227 (T \u2227 1))\n(((T \u2228 1) \u2227 (T \u2227 1)) \u2228 (G \u2228 T)) \u2228 0\n((T \u2228 1) \u2227 (T \u2227 1)) \u2228 (G \u2228 T)\n((T \u2228 1) \u2227 (T \u2227 1)) \u2228 (0 \u2228 (G \u2228 T))\n((T \u2228 1) \u2227 (T \u2227 1)) \u2228 (G \u2228 (T \u2228 0))\n((T \u2228 1) \u2227 (T \u2227 1)) \u2228 ((T \u2228 G) \u2228 0)\n((T \u2227 1) \u2227 (T \u2228 1)) \u2228 ((G \u2228 T) \u2228 0)\n(((T \u2228 1) \u2227 T) \u2227 1) \u2228 ((G \u2228 T) \u2228 0)\n((T \u2228 1) \u2227 T) \u2228 ((G \u2228 T) \u2228 0)\n((T \u2228 1) \u2227 (1 \u2227 T)) \u2228 ((G \u2228 T) \u2228 0)\n(1 \u2227 (T \u2227 1)) \u2228 ((G \u2228 T) \u2228 0)\n((1 \u2228 T) \u2227 (T \u2227 1)) \u2228 ((G \u2228 T) \u2228 0)\nChosen: (((T \u2228 1) \u2227 (T \u2227 1)) \u2228 (G \u2228 T)) \u2228 0\n\nOptions:\n((T \u2228 1) \u2227 (T \u2227 1)) \u2228 (G \u2228 T)\n0 \u2228 (((T \u2228 1) \u2227 (T \u2227 1)) \u2228 (G \u2228 T))\n((G \u2228 T) \u2228 ((T \u2228 1) \u2227 (T \u2227 1))) \u2228 0\n((((T \u2228 1) \u2227 (T \u2227 1)) \u2228 G) \u2228 T) \u2228 0\n(((T \u2228 1) \u2227 (T \u2227 1)) \u2228 (T \u2228 G)) \u2228 0\n(((T \u2227 1) \u2227 (T \u2228 1)) \u2228 (G \u2228 T)) \u2228 0\n((((T \u2228 1) \u2227 T) \u2227 1) \u2228 (G \u2228 T)) \u2228 0\n(((T \u2228 1) \u2227 T) \u2228 (G \u2228 T)) \u2228 0\n(((T \u2228 1) \u2227 (1 \u2227 T)) \u2228 (G \u2228 T)) \u2228 0\n((1 \u2227 (T \u2227 1)) \u2228 (G \u2228 T)) \u2228 0\n(((1 \u2228 T) \u2227 (T \u2227 1)) \u2228 (G \u2228 T)) \u2228 0\nChosen: (((T \u2228 1) \u2227 T) \u2228 (G \u2228 T)) \u2228 0\n\nOptions:\n((T \u2228 1) \u2227 T) \u2228 (G \u2228 T)\n0 \u2228 (((T \u2228 1) \u2227 T) \u2228 (G \u2228 T))\n((T \u2228 1) \u2227 T) \u2228 ((G \u2228 T) \u2228 0)\n((G \u2228 T) \u2228 ((T \u2228 1) \u2227 T)) \u2228 0\n((((T \u2228 1) \u2227 T) \u2228 G) \u2228 T) \u2228 0\n(((T \u2228 1) \u2227 T) \u2228 (T \u2228 G)) \u2228 0\n((T \u2227 (T \u2228 1)) \u2228 (G \u2228 T)) \u2228 0\n((1 \u2227 T) \u2228 (G \u2228 T)) \u2228 0\n(((1 \u2228 T) \u2227 T) \u2228 (G \u2228 T)) \u2228 0\nChosen: ((1 \u2227 T) \u2228 (G \u2228 T)) \u2228 0\n\nOptions:\n(1 \u2227 T) \u2228 (G \u2228 T)\n0 \u2228 ((1 \u2227 T) \u2228 (G \u2228 T))\n(1 \u2227 T) \u2228 ((G \u2228 T) \u2228 0)\n((G \u2228 T) \u2228 (1 \u2227 T)) \u2228 0\n(((1 \u2227 T) \u2228 G) \u2228 T) \u2228 0\n((1 \u2227 T) \u2228 (T \u2228 G)) \u2228 0\n(T \u2228 (G \u2228 T)) \u2228 0\n((T \u2227 1) \u2228 (G \u2228 T)) \u2228 0\nChosen: 0 \u2228 ((1 \u2227 T) \u2228 (G \u2228 T))", "id": 164}, {"char_len": 1584, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 75078, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 15, 12264, 101, 1229, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 1192, 6774, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 320, 15, 75078, 220, 16, 340, 1209, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 1229, 1192, 1209, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 11861, 15, 12264, 101, 1229, 8, 75078, 220, 15, 8, 75078, 220, 16, 340, 1209, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 75078, 220, 15, 340, 1209, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 48, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 48, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 46, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 75078, 320, 15, 75078, 220, 16, 1192, 19792, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 16, 75078, 507, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 11861, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 320, 15, 75078, 220, 16, 696, 3883, 512, 7, 15, 75078, 220, 16, 8, 75078, 11861, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 1192, 67944, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 220, 15, 8, 75078, 220, 16, 198, 6774, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 220, 15, 198, 6774, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 320, 16, 75078, 220, 15, 340, 1209, 15, 12264, 101, 1229, 8, 75078, 1819, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 7861, 75078, 320, 15, 75078, 220, 16, 340, 67944, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 220, 15, 8, 12264, 101, 11861, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1229, 595, 75078, 320, 15, 75078, 220, 16, 340, 6774, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1229, 8, 75078, 320, 15, 75078, 220, 16, 340, 6774, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 48, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 220, 16, 340, 6774, 83193, 46, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 320, 15, 75078, 220, 16, 340, 1209, 46, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 320, 15, 75078, 220, 16, 340, 6774, 16, 75078, 507, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 320, 15, 75078, 220, 16, 340, 1163, 8477, 25, 52200, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 220, 15, 8, 75078, 220, 16, 271, 3883, 512, 6774, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 220, 15, 198, 16, 75078, 52200, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 220, 15, 340, 15, 75078, 220, 16, 198, 7, 15, 75078, 11861, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 7861, 75078, 220, 16, 198, 6774, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 75078, 220, 15, 595, 75078, 220, 16, 198, 6774, 15, 12264, 101, 1229, 8, 75078, 1819, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 7861, 75078, 220, 15, 8, 75078, 220, 16, 198, 1209, 6774, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 220, 15, 8, 12264, 101, 11861, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1229, 595, 75078, 220, 15, 8, 75078, 220, 16, 198, 67944, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1229, 8, 75078, 220, 15, 8, 75078, 220, 16, 198, 67944, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 48, 12264, 101, 220, 15, 595, 75078, 220, 15, 8, 75078, 220, 16, 198, 67944, 83193, 46, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 220, 15, 8, 75078, 220, 16, 198, 6774, 46, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 220, 15, 8, 75078, 220, 16, 198, 67944, 16, 75078, 507, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 1229, 595, 75078, 220, 15, 8, 75078, 220, 16, 198, 1163, 8477, 25, 220, 15, 75078, 220, 16, 271, 3883, 512, 15, 198, 16, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 999, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((O \u2227 1) \u2228 (\u00acO)) \u2227 ((0 \u2228 Q) \u2227 (0 \u2227 1))\n\nOptions:\n((0 \u2228 Q) \u2227 (0 \u2227 1)) \u2227 ((O \u2227 1) \u2228 (\u00acO))\n(((O \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 (0 \u2227 1)\n((O \u2227 1) \u2228 (\u00acO)) \u2227 ((0 \u2227 1) \u2227 (0 \u2228 Q))\n((O \u2227 1) \u2228 (\u00acO)) \u2227 (((0 \u2228 Q) \u2227 0) \u2227 1)\n((O \u2227 1) \u2228 (\u00acO)) \u2227 ((0 \u2228 Q) \u2227 0)\n((O \u2227 1) \u2228 (\u00acO)) \u2227 ((0 \u2228 Q) \u2227 (1 \u2227 0))\n((O \u2227 1) \u2228 (\u00acO)) \u2227 (Q \u2227 (0 \u2227 1))\n((O \u2227 1) \u2228 (\u00acO)) \u2227 ((Q \u2228 0) \u2227 (0 \u2227 1))\n((\u00acO) \u2228 (O \u2227 1)) \u2227 ((0 \u2228 Q) \u2227 (0 \u2227 1))\n(O \u2228 (\u00acO)) \u2227 ((0 \u2228 Q) \u2227 (0 \u2227 1))\n((1 \u2227 O) \u2228 (\u00acO)) \u2227 ((0 \u2228 Q) \u2227 (0 \u2227 1))\nChosen: (((O \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 (0 \u2227 1)\n\nOptions:\n(0 \u2227 1) \u2227 (((O \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 Q))\n((((O \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 0) \u2227 1\n(((O \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 0\n(((O \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 (1 \u2227 0)\n((0 \u2228 Q) \u2227 ((O \u2227 1) \u2228 (\u00acO))) \u2227 (0 \u2227 1)\n((((O \u2227 1) \u2228 (\u00acO)) \u2227 0) \u2228 (((O \u2227 1) \u2228 (\u00acO)) \u2227 Q)) \u2227 (0 \u2227 1)\n(((O \u2227 1) \u2228 (\u00acO)) \u2227 Q) \u2227 (0 \u2227 1)\n(((O \u2227 1) \u2228 (\u00acO)) \u2227 (Q \u2228 0)) \u2227 (0 \u2227 1)\n(((\u00acO) \u2228 (O \u2227 1)) \u2227 (0 \u2228 Q)) \u2227 (0 \u2227 1)\n((O \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 (0 \u2227 1)\n(((1 \u2227 O) \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 (0 \u2227 1)\nChosen: ((((O \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 0) \u2227 1\n\nOptions:\n(((O \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 0\n1 \u2227 ((((O \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 0)\n0 \u2227 1\n(0 \u2227 (((O \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 Q))) \u2227 1\n(((O \u2227 1) \u2228 (\u00acO)) \u2227 ((0 \u2228 Q) \u2227 0)) \u2227 1\n(((0 \u2228 Q) \u2227 ((O \u2227 1) \u2228 (\u00acO))) \u2227 0) \u2227 1\n(((((O \u2227 1) \u2228 (\u00acO)) \u2227 0) \u2228 (((O \u2227 1) \u2228 (\u00acO)) \u2227 Q)) \u2227 0) \u2227 1\n((((O \u2227 1) \u2228 (\u00acO)) \u2227 Q) \u2227 0) \u2227 1\n((((O \u2227 1) \u2228 (\u00acO)) \u2227 (Q \u2228 0)) \u2227 0) \u2227 1\n((((\u00acO) \u2228 (O \u2227 1)) \u2227 (0 \u2228 Q)) \u2227 0) \u2227 1\n(((O \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 0) \u2227 1\n((((1 \u2227 O) \u2228 (\u00acO)) \u2227 (0 \u2228 Q)) \u2227 0) \u2227 1\nChosen: 0 \u2227 1\n\nOptions:\n0\n1 \u2227 0\nChosen: 0", "id": 165}, {"char_len": 438, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 15, 340, 7, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 16, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 7, 83193, 15, 8, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 83193, 16, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 220, 16, 198, 16, 75078, 320, 83193, 15, 340, 7, 83193, 15, 8, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 220, 16, 75078, 320, 83193, 15, 696, 3883, 512, 83193, 15, 198, 7, 83193, 15, 8, 75078, 220, 16, 198, 16, 75078, 220, 16, 198, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 220, 16, 271, 3883, 512, 83193, 15, 198, 16, 75078, 220, 16, 198, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 232, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00ac1)) \u2227 (\u00ac(0 \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2227 (\u00ac(\u00ac1))\n(\u00ac(\u00ac1)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(\u00ac(\u00ac1)) \u2227 (\u00ac0)\n(\u00ac(\u00ac1)) \u2227 (\u00ac(1 \u2227 0))\n1 \u2227 (\u00ac(0 \u2227 1))\n(\u00ac0) \u2227 (\u00ac(0 \u2227 1))\nChosen: (\u00ac(\u00ac1)) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(\u00ac1))\n(\u00ac(\u00ac1)) \u2227 1\n1 \u2227 (\u00ac0)\n(\u00ac0) \u2227 (\u00ac0)\nChosen: 1 \u2227 (\u00ac0)\n\nOptions:\n\u00ac0\n(\u00ac0) \u2227 1\n1 \u2227 1\nChosen: (\u00ac0) \u2227 1\n\nOptions:\n\u00ac0\n1 \u2227 1\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 166}, {"char_len": 2702, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 12264, 101, 393, 8, 12264, 101, 320, 47, 12264, 101, 393, 595, 75078, 1819, 39, 12264, 101, 220, 16, 8, 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101, 320, 15, 75078, 220, 16, 1192, 5417, 12264, 101, 320, 47, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 15, 75078, 220, 16, 1192, 5417, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 47, 12264, 101, 393, 8, 12264, 101, 220, 16, 8, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1825, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 ((H \u2228 1) \u2228 (0 \u2227 1))\n\nOptions:\n((H \u2228 1) \u2228 (0 \u2227 1)) \u2227 ((1 \u2228 P) \u2228 (P \u2228 P))\n(((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 (H \u2228 1)) \u2228 (((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 (0 \u2227 1))\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 ((0 \u2227 1) \u2228 (H \u2228 1))\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 (H \u2228 (1 \u2228 (0 \u2227 1)))\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 (((H \u2228 1) \u2228 0) \u2227 ((H \u2228 1) \u2228 1))\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 ((H \u2228 1) \u2228 0)\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 ((H \u2228 1) \u2228 (1 \u2227 0))\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 (1 \u2228 (0 \u2227 1))\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\n((P \u2228 P) \u2228 (1 \u2228 P)) \u2227 ((H \u2228 1) \u2228 (0 \u2227 1))\n(((1 \u2228 P) \u2228 P) \u2228 P) \u2227 ((H \u2228 1) \u2228 (0 \u2227 1))\n(1 \u2228 (P \u2228 (P \u2228 P))) \u2227 ((H \u2228 1) \u2228 (0 \u2227 1))\n((1 \u2228 P) \u2228 P) \u2227 ((H \u2228 1) \u2228 (0 \u2227 1))\n(1 \u2228 (P \u2228 P)) \u2227 ((H \u2228 1) \u2228 (0 \u2227 1))\n((P \u2228 1) \u2228 (P \u2228 P)) \u2227 ((H \u2228 1) \u2228 (0 \u2227 1))\nChosen: ((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\n\nOptions:\n((1 \u2228 H) \u2228 (0 \u2227 1)) \u2227 ((1 \u2228 P) \u2228 (P \u2228 P))\n(((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 (1 \u2228 H)) \u2228 (((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 (0 \u2227 1))\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 ((0 \u2227 1) \u2228 (1 \u2228 H))\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 (1 \u2228 (H \u2228 (0 \u2227 1)))\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 (((1 \u2228 H) \u2228 0) \u2227 ((1 \u2228 H) \u2228 1))\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 ((1 \u2228 H) \u2228 0)\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 ((1 \u2228 H) \u2228 (1 \u2227 0))\n((1 \u2228 P) \u2228 (P \u2228 P)) \u2227 (1 \u2228 (0 \u2227 1))\n((P \u2228 P) \u2228 (1 \u2228 P)) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\n(((1 \u2228 P) \u2228 P) \u2228 P) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\n(1 \u2228 (P \u2228 (P \u2228 P))) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\n((1 \u2228 P) \u2228 P) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\n(1 \u2228 (P \u2228 P)) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\n((P \u2228 1) \u2228 (P \u2228 P)) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\nChosen: (1 \u2228 (P \u2228 P)) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\n\nOptions:\n((1 \u2228 H) \u2228 (0 \u2227 1)) \u2227 (1 \u2228 (P \u2228 P))\n((1 \u2228 (P \u2228 P)) \u2227 (1 \u2228 H)) \u2228 ((1 \u2228 (P \u2228 P)) \u2227 (0 \u2227 1))\n(1 \u2228 (P \u2228 P)) \u2227 ((0 \u2227 1) \u2228 (1 \u2228 H))\n(1 \u2228 (P \u2228 P)) \u2227 (1 \u2228 (H \u2228 (0 \u2227 1)))\n(1 \u2228 (P \u2228 P)) \u2227 (((1 \u2228 H) \u2228 0) \u2227 ((1 \u2228 H) \u2228 1))\n(1 \u2228 (P \u2228 P)) \u2227 ((1 \u2228 H) \u2228 0)\n(1 \u2228 (P \u2228 P)) \u2227 ((1 \u2228 H) \u2228 (1 \u2227 0))\n(1 \u2228 (P \u2228 P)) \u2227 (1 \u2228 (0 \u2227 1))\n(1 \u2228 (P \u2228 P)) \u2227 ((H \u2228 1) \u2228 (0 \u2227 1))\n1 \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\n((P \u2228 P) \u2228 1) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\n((1 \u2228 P) \u2228 P) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\n(1 \u2228 P) \u2227 ((1 \u2228 H) \u2228 (0 \u2227 1))\nChosen: (1 \u2228 (P \u2228 P)) \u2227 (1 \u2228 (0 \u2227 1))\n\nOptions:\n(1 \u2228 (0 \u2227 1)) \u2227 (1 \u2228 (P \u2228 P))\n((1 \u2228 (P \u2228 P)) \u2227 1) \u2228 ((1 \u2228 (P \u2228 P)) \u2227 (0 \u2227 1))\n(1 \u2228 (P \u2228 P)) \u2227 1\n(1 \u2228 (P \u2228 P)) \u2227 ((0 \u2227 1) \u2228 1)\n(1 \u2228 (P \u2228 P)) \u2227 ((1 \u2228 0) \u2227 (1 \u2228 1))\n(1 \u2228 (P \u2228 P)) \u2227 (1 \u2228 0)\n(1 \u2228 (P \u2228 P)) \u2227 (1 \u2228 (1 \u2227 0))\n1 \u2227 (1 \u2228 (0 \u2227 1))\n((P \u2228 P) \u2228 1) \u2227 (1 \u2228 (0 \u2227 1))\n((1 \u2228 P) \u2228 P) \u2227 (1 \u2228 (0 \u2227 1))\n(1 \u2228 P) \u2227 (1 \u2228 (0 \u2227 1))\nChosen: ((P \u2228 P) \u2228 1) \u2227 (1 \u2228 (0 \u2227 1))\n\nOptions:\n(1 \u2228 (0 \u2227 1)) \u2227 ((P \u2228 P) \u2228 1)\n(((P \u2228 P) \u2228 1) \u2227 1) \u2228 (((P \u2228 P) \u2228 1) \u2227 (0 \u2227 1))\n((P \u2228 P) \u2228 1) \u2227 1\n((P \u2228 P) \u2228 1) \u2227 ((0 \u2227 1) \u2228 1)\n((P \u2228 P) \u2228 1) \u2227 ((1 \u2228 0) \u2227 (1 \u2228 1))\n((P \u2228 P) \u2228 1) \u2227 (1 \u2228 0)\n((P \u2228 P) \u2228 1) \u2227 (1 \u2228 (1 \u2227 0))\n1 \u2227 (1 \u2228 (0 \u2227 1))\n(P \u2228 (P \u2228 1)) \u2227 (1 \u2228 (0 \u2227 1))\n(P \u2228 1) \u2227 (1 \u2228 (0 \u2227 1))\nChosen: ((P \u2228 P) \u2228 1) \u2227 1", "id": 167}, {"char_len": 822, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 34, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 735, 595, 12264, 101, 320, 83193, 7, 83193, 42, 4489, 3883, 512, 7, 83193, 7, 83193, 42, 595, 12264, 101, 1819, 34, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 735, 1192, 3100, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 735, 8, 12264, 101, 320, 83193, 7, 83193, 42, 6054, 1209, 34, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 735, 595, 12264, 101, 735, 198, 1209, 16, 75078, 735, 8, 12264, 101, 320, 34, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 6774, 34, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 34, 75078, 220, 15, 8, 12264, 101, 735, 595, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 1209, 34, 75078, 220, 15, 8, 12264, 101, 735, 8, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 1209, 34, 75078, 220, 15, 8, 12264, 101, 320, 42, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 7, 15, 12264, 101, 320, 16, 75078, 735, 595, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 1209, 15, 75078, 356, 8, 12264, 101, 320, 16, 75078, 735, 595, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 16, 75078, 735, 595, 12264, 101, 320, 83193, 7, 83193, 42, 4489, 3883, 512, 7, 83193, 7, 83193, 42, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 735, 1192, 15, 12264, 101, 1819, 16, 75078, 735, 8, 12264, 101, 320, 83193, 7, 83193, 42, 6054, 7, 15, 12264, 101, 320, 16, 75078, 735, 595, 12264, 101, 735, 198, 7, 16, 75078, 735, 8, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 1209, 16, 75078, 735, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 735, 595, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 7, 15, 12264, 101, 735, 8, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 7, 15, 12264, 101, 320, 42, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 735, 8, 12264, 101, 320, 83193, 7, 83193, 42, 4489, 3883, 512, 7, 83193, 7, 83193, 42, 595, 12264, 101, 320, 15, 12264, 101, 735, 340, 15, 12264, 101, 320, 42, 12264, 101, 320, 83193, 7, 83193, 42, 6054, 7, 15, 12264, 101, 735, 8, 12264, 101, 735, 198, 42, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 17155, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 42, 1192, 1163, 8477, 25, 735, 12264, 101, 320, 83193, 7, 83193, 42, 4489, 3883, 512, 7, 83193, 7, 83193, 42, 595, 12264, 101, 735, 198, 42, 12264, 101, 735, 198, 1163, 8477, 25, 735, 12264, 101, 735, 271, 3883, 512, 42, 198, 1163, 8477, 25, 735], "tokenizer": "cl100k_base", "tokens_len": 504, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((C \u2227 0) \u2228 (1 \u2227 K)) \u2228 (\u00ac(\u00acK))\n\nOptions:\n(\u00ac(\u00acK)) \u2228 ((C \u2227 0) \u2228 (1 \u2227 K))\n(C \u2227 0) \u2228 ((1 \u2227 K) \u2228 (\u00ac(\u00acK)))\n((C \u2227 0) \u2228 (1 \u2227 K)) \u2228 K\n((1 \u2227 K) \u2228 (C \u2227 0)) \u2228 (\u00ac(\u00acK))\n(((C \u2227 0) \u2228 1) \u2227 ((C \u2227 0) \u2228 K)) \u2228 (\u00ac(\u00acK))\n((C \u2227 0) \u2228 K) \u2228 (\u00ac(\u00acK))\n((C \u2227 0) \u2228 (K \u2227 1)) \u2228 (\u00ac(\u00acK))\n(0 \u2228 (1 \u2227 K)) \u2228 (\u00ac(\u00acK))\n((0 \u2227 C) \u2228 (1 \u2227 K)) \u2228 (\u00ac(\u00acK))\nChosen: (0 \u2228 (1 \u2227 K)) \u2228 (\u00ac(\u00acK))\n\nOptions:\n(\u00ac(\u00acK)) \u2228 (0 \u2228 (1 \u2227 K))\n0 \u2228 ((1 \u2227 K) \u2228 (\u00ac(\u00acK)))\n(0 \u2228 (1 \u2227 K)) \u2228 K\n(1 \u2227 K) \u2228 (\u00ac(\u00acK))\n((1 \u2227 K) \u2228 0) \u2228 (\u00ac(\u00acK))\n((0 \u2228 1) \u2227 (0 \u2228 K)) \u2228 (\u00ac(\u00acK))\n(0 \u2228 K) \u2228 (\u00ac(\u00acK))\n(0 \u2228 (K \u2227 1)) \u2228 (\u00ac(\u00acK))\nChosen: (0 \u2228 K) \u2228 (\u00ac(\u00acK))\n\nOptions:\n(\u00ac(\u00acK)) \u2228 (0 \u2228 K)\n0 \u2228 (K \u2228 (\u00ac(\u00acK)))\n(0 \u2228 K) \u2228 K\nK \u2228 (\u00ac(\u00acK))\n(K \u2228 0) \u2228 (\u00ac(\u00acK))\nChosen: K \u2228 (\u00ac(\u00acK))\n\nOptions:\n(\u00ac(\u00acK)) \u2228 K\nK \u2228 K\nChosen: K \u2228 K\n\nOptions:\nK\nChosen: K", "id": 168}, {"char_len": 855, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 75078, 220, 15, 8, 75078, 320, 41, 12264, 101, 735, 595, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 42, 12264, 101, 220, 16, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 41, 12264, 101, 735, 1192, 7, 15, 75078, 220, 15, 8, 75078, 1819, 41, 12264, 101, 735, 8, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 6054, 1209, 15, 75078, 220, 15, 8, 75078, 320, 41, 12264, 101, 735, 595, 75078, 1819, 83193, 42, 8, 75078, 320, 83193, 16, 1192, 1209, 15, 75078, 220, 15, 8, 75078, 320, 41, 12264, 101, 735, 595, 75078, 320, 83193, 16, 340, 1209, 15, 75078, 220, 15, 8, 75078, 320, 41, 12264, 101, 735, 595, 75078, 320, 83193, 7, 16, 12264, 101, 735, 1192, 1209, 41, 12264, 101, 735, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 1192, 7, 15, 75078, 320, 15, 75078, 320, 41, 12264, 101, 735, 7861, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 1192, 6774, 15, 75078, 220, 15, 8, 75078, 622, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 595, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 1192, 1209, 15, 75078, 220, 15, 8, 75078, 320, 42, 12264, 101, 622, 595, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 1192, 7, 15, 75078, 320, 41, 12264, 101, 735, 595, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 41, 12264, 101, 735, 595, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 42, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 41, 12264, 101, 735, 1192, 15, 75078, 1819, 41, 12264, 101, 735, 8, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 6054, 7, 15, 75078, 320, 41, 12264, 101, 735, 595, 75078, 1819, 83193, 42, 8, 75078, 320, 83193, 16, 1192, 7, 15, 75078, 320, 41, 12264, 101, 735, 595, 75078, 320, 83193, 16, 340, 7, 15, 75078, 320, 41, 12264, 101, 735, 595, 75078, 320, 83193, 7, 16, 12264, 101, 735, 1192, 15, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 1192, 1209, 41, 12264, 101, 735, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 1192, 1209, 15, 75078, 622, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 1192, 7, 15, 75078, 320, 42, 12264, 101, 622, 595, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 220, 15, 75078, 320, 83193, 7, 42, 12264, 101, 220, 16, 4489, 3883, 512, 15, 198, 7, 83193, 7, 42, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 15, 75078, 1819, 83193, 42, 8, 75078, 320, 83193, 16, 1192, 15, 75078, 320, 83193, 16, 340, 15, 75078, 320, 83193, 7, 16, 12264, 101, 735, 1192, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 517, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 0) \u2227 (J \u2228 K)) \u2227 (\u00ac(K \u2228 1))\n\nOptions:\n(\u00ac(K \u2228 1)) \u2227 ((0 \u2227 0) \u2227 (J \u2228 K))\n(0 \u2227 0) \u2227 ((J \u2228 K) \u2227 (\u00ac(K \u2228 1)))\n((0 \u2227 0) \u2227 (J \u2228 K)) \u2227 ((\u00acK) \u2227 (\u00ac1))\n((0 \u2227 0) \u2227 (J \u2228 K)) \u2227 (\u00ac1)\n((0 \u2227 0) \u2227 (J \u2228 K)) \u2227 (\u00ac(1 \u2228 K))\n((J \u2228 K) \u2227 (0 \u2227 0)) \u2227 (\u00ac(K \u2228 1))\n(0 \u2227 (0 \u2227 (J \u2228 K))) \u2227 (\u00ac(K \u2228 1))\n(((0 \u2227 0) \u2227 J) \u2228 ((0 \u2227 0) \u2227 K)) \u2227 (\u00ac(K \u2228 1))\n((0 \u2227 0) \u2227 (K \u2228 J)) \u2227 (\u00ac(K \u2228 1))\n(0 \u2227 (J \u2228 K)) \u2227 (\u00ac(K \u2228 1))\nChosen: (0 \u2227 (J \u2228 K)) \u2227 (\u00ac(K \u2228 1))\n\nOptions:\n(\u00ac(K \u2228 1)) \u2227 (0 \u2227 (J \u2228 K))\n0 \u2227 ((J \u2228 K) \u2227 (\u00ac(K \u2228 1)))\n(0 \u2227 (J \u2228 K)) \u2227 ((\u00acK) \u2227 (\u00ac1))\n(0 \u2227 (J \u2228 K)) \u2227 (\u00ac1)\n(0 \u2227 (J \u2228 K)) \u2227 (\u00ac(1 \u2228 K))\n0 \u2227 (\u00ac(K \u2228 1))\n((J \u2228 K) \u2227 0) \u2227 (\u00ac(K \u2228 1))\n((0 \u2227 J) \u2228 (0 \u2227 K)) \u2227 (\u00ac(K \u2228 1))\n(0 \u2227 (K \u2228 J)) \u2227 (\u00ac(K \u2228 1))\nChosen: 0 \u2227 (\u00ac(K \u2228 1))\n\nOptions:\n0\n(\u00ac(K \u2228 1)) \u2227 0\n0 \u2227 ((\u00acK) \u2227 (\u00ac1))\n0 \u2227 (\u00ac1)\n0 \u2227 (\u00ac(1 \u2228 K))\nChosen: 0", "id": 169}, {"char_len": 2192, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 47, 75078, 220, 16, 4489, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 320, 47, 75078, 220, 16, 595, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 1192, 6774, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 320, 15, 75078, 220, 15, 595, 75078, 320, 47, 75078, 220, 16, 340, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 1819, 47, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 11861, 15, 75078, 220, 15, 8, 75078, 393, 8, 75078, 220, 16, 340, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 320, 15, 75078, 320, 15, 75078, 320, 47, 75078, 220, 16, 6054, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 393, 340, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 393, 1192, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 320, 15, 75078, 320, 47, 75078, 220, 16, 1192, 1209, 15, 75078, 735, 8, 12264, 101, 320, 42, 12264, 101, 393, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 47, 75078, 220, 16, 1192, 17155, 12264, 101, 320, 47, 12264, 101, 320, 15, 75078, 735, 7861, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 47, 75078, 220, 16, 1192, 6774, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 735, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 47, 75078, 220, 16, 1192, 1209, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 8, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 47, 75078, 220, 16, 1192, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 42, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 47, 75078, 220, 16, 1192, 1209, 47, 12264, 101, 735, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 47, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 393, 696, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 393, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 1192, 6774, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 320, 15, 75078, 220, 15, 595, 75078, 393, 198, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 320, 47, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 320, 15, 75078, 320, 15, 75078, 393, 1192, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 320, 15, 75078, 393, 340, 1209, 15, 75078, 735, 8, 12264, 101, 320, 42, 12264, 101, 393, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 393, 340, 17155, 12264, 101, 320, 47, 12264, 101, 320, 15, 75078, 735, 7861, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 393, 340, 6774, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 735, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 393, 340, 1209, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 8, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 393, 340, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 42, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 393, 340, 1209, 47, 12264, 101, 735, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 393, 340, 1163, 8477, 25, 1819, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 320, 15, 75078, 393, 696, 3883, 512, 7, 15, 75078, 393, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 1192, 6774, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 220, 15, 8, 75078, 393, 198, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 220, 15, 198, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 320, 47, 75078, 220, 15, 340, 1209, 15, 75078, 735, 8, 12264, 101, 320, 42, 12264, 101, 393, 595, 75078, 320, 15, 75078, 393, 340, 17155, 12264, 101, 320, 47, 12264, 101, 320, 15, 75078, 735, 7861, 75078, 320, 15, 75078, 393, 340, 6774, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 735, 595, 75078, 320, 15, 75078, 393, 340, 1209, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 393, 340, 1209, 42, 12264, 101, 393, 8, 12264, 101, 320, 42, 75078, 220, 15, 595, 75078, 320, 15, 75078, 393, 340, 1209, 47, 12264, 101, 735, 8, 12264, 101, 320, 15, 75078, 735, 595, 75078, 320, 15, 75078, 393, 340, 1163, 8477, 25, 320, 15, 75078, 393, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 4489, 3883, 512, 15, 75078, 320, 47, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 6054, 1209, 15, 75078, 393, 8, 75078, 320, 42, 12264, 101, 393, 595, 12264, 101, 1819, 15, 75078, 393, 8, 75078, 320, 15, 75078, 735, 1192, 7, 15, 75078, 393, 8, 75078, 1819, 15, 75078, 735, 8, 12264, 101, 320, 42, 12264, 101, 393, 1192, 7, 15, 75078, 393, 8, 75078, 320, 42, 12264, 101, 320, 47, 12264, 101, 320, 15, 75078, 735, 6054, 7, 15, 75078, 393, 8, 75078, 11861, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 735, 1192, 7, 15, 75078, 393, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 340, 7, 15, 75078, 393, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 320, 42, 75078, 220, 15, 1192, 7, 15, 75078, 393, 8, 75078, 1819, 47, 12264, 101, 735, 8, 12264, 101, 320, 15, 75078, 735, 1192, 15, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 1192, 5417, 75078, 220, 15, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 320, 15, 75078, 735, 1192, 1163, 8477, 25, 320, 15, 75078, 393, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 393, 340, 15, 75078, 320, 47, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 1192, 1209, 15, 75078, 393, 8, 75078, 320, 42, 12264, 101, 393, 595, 12264, 101, 1819, 15, 75078, 393, 8, 75078, 220, 15, 340, 7, 15, 75078, 393, 8, 75078, 320, 42, 12264, 101, 393, 340, 7, 15, 75078, 393, 8, 75078, 320, 15, 12264, 101, 320, 42, 12264, 101, 393, 1192, 7, 15, 75078, 393, 8, 75078, 320, 42, 12264, 101, 320, 47, 12264, 101, 220, 15, 1192, 7, 15, 75078, 393, 8, 75078, 1819, 47, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 15, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 340, 5417, 75078, 220, 15, 8, 75078, 1819, 42, 12264, 101, 393, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 15, 75078, 393, 8, 75078, 320, 42, 12264, 101, 393, 595, 12264, 101, 1819, 15, 75078, 393, 8, 75078, 220, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 1345, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 ((0 \u2227 0) \u2227 (P \u2227 1))\n\nOptions:\n((0 \u2227 0) \u2227 (P \u2227 1)) \u2227 ((K \u2228 P) \u2228 (0 \u2227 K))\n(((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 (0 \u2227 0)) \u2227 (P \u2227 1)\n((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 ((P \u2227 1) \u2227 (0 \u2227 0))\n((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 (((0 \u2227 0) \u2227 P) \u2227 1)\n((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 (0 \u2227 (0 \u2227 (P \u2227 1)))\n((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 ((0 \u2227 0) \u2227 P)\n((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 ((0 \u2227 0) \u2227 (1 \u2227 P))\n((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 (0 \u2227 (P \u2227 1))\n((0 \u2227 K) \u2228 (K \u2228 P)) \u2227 ((0 \u2227 0) \u2227 (P \u2227 1))\n(K \u2228 (P \u2228 (0 \u2227 K))) \u2227 ((0 \u2227 0) \u2227 (P \u2227 1))\n(((K \u2228 P) \u2228 0) \u2227 ((K \u2228 P) \u2228 K)) \u2227 ((0 \u2227 0) \u2227 (P \u2227 1))\n((K \u2228 P) \u2228 0) \u2227 ((0 \u2227 0) \u2227 (P \u2227 1))\n((K \u2228 P) \u2228 (K \u2227 0)) \u2227 ((0 \u2227 0) \u2227 (P \u2227 1))\n((P \u2228 K) \u2228 (0 \u2227 K)) \u2227 ((0 \u2227 0) \u2227 (P \u2227 1))\nChosen: ((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 ((0 \u2227 0) \u2227 P)\n\nOptions:\n((0 \u2227 0) \u2227 P) \u2227 ((K \u2228 P) \u2228 (0 \u2227 K))\n(((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 (0 \u2227 0)) \u2227 P\n((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 (P \u2227 (0 \u2227 0))\n((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 (0 \u2227 (0 \u2227 P))\n((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 (0 \u2227 P)\n((0 \u2227 K) \u2228 (K \u2228 P)) \u2227 ((0 \u2227 0) \u2227 P)\n(K \u2228 (P \u2228 (0 \u2227 K))) \u2227 ((0 \u2227 0) \u2227 P)\n(((K \u2228 P) \u2228 0) \u2227 ((K \u2228 P) \u2228 K)) \u2227 ((0 \u2227 0) \u2227 P)\n((K \u2228 P) \u2228 0) \u2227 ((0 \u2227 0) \u2227 P)\n((K \u2228 P) \u2228 (K \u2227 0)) \u2227 ((0 \u2227 0) \u2227 P)\n((P \u2228 K) \u2228 (0 \u2227 K)) \u2227 ((0 \u2227 0) \u2227 P)\nChosen: ((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 (0 \u2227 P)\n\nOptions:\n(0 \u2227 P) \u2227 ((K \u2228 P) \u2228 (0 \u2227 K))\n(((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 0) \u2227 P\n((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 0\n((K \u2228 P) \u2228 (0 \u2227 K)) \u2227 (P \u2227 0)\n((0 \u2227 K) \u2228 (K \u2228 P)) \u2227 (0 \u2227 P)\n(K \u2228 (P \u2228 (0 \u2227 K))) \u2227 (0 \u2227 P)\n(((K \u2228 P) \u2228 0) \u2227 ((K \u2228 P) \u2228 K)) \u2227 (0 \u2227 P)\n((K \u2228 P) \u2228 0) \u2227 (0 \u2227 P)\n((K \u2228 P) \u2228 (K \u2227 0)) \u2227 (0 \u2227 P)\n((P \u2228 K) \u2228 (0 \u2227 K)) \u2227 (0 \u2227 P)\nChosen: (0 \u2227 P) \u2227 ((K \u2228 P) \u2228 (0 \u2227 K))\n\nOptions:\n0 \u2227 (P \u2227 ((K \u2228 P) \u2228 (0 \u2227 K)))\n((0 \u2227 P) \u2227 (K \u2228 P)) \u2228 ((0 \u2227 P) \u2227 (0 \u2227 K))\n(0 \u2227 P) \u2227 ((0 \u2227 K) \u2228 (K \u2228 P))\n(0 \u2227 P) \u2227 (K \u2228 (P \u2228 (0 \u2227 K)))\n(0 \u2227 P) \u2227 (((K \u2228 P) \u2228 0) \u2227 ((K \u2228 P) \u2228 K))\n(0 \u2227 P) \u2227 ((K \u2228 P) \u2228 0)\n(0 \u2227 P) \u2227 ((K \u2228 P) \u2228 (K \u2227 0))\n(0 \u2227 P) \u2227 ((P \u2228 K) \u2228 (0 \u2227 K))\n0 \u2227 ((K \u2228 P) \u2228 (0 \u2227 K))\n(P \u2227 0) \u2227 ((K \u2228 P) \u2228 (0 \u2227 K))\nChosen: (0 \u2227 P) \u2227 ((K \u2228 P) \u2228 0)\n\nOptions:\n((K \u2228 P) \u2228 0) \u2227 (0 \u2227 P)\n0 \u2227 (P \u2227 ((K \u2228 P) \u2228 0))\n((0 \u2227 P) \u2227 (K \u2228 P)) \u2228 ((0 \u2227 P) \u2227 0)\n(0 \u2227 P) \u2227 (K \u2228 P)\n(0 \u2227 P) \u2227 (0 \u2228 (K \u2228 P))\n(0 \u2227 P) \u2227 (K \u2228 (P \u2228 0))\n(0 \u2227 P) \u2227 ((P \u2228 K) \u2228 0)\n0 \u2227 ((K \u2228 P) \u2228 0)\n(P \u2227 0) \u2227 ((K \u2228 P) \u2228 0)\nChosen: ((0 \u2227 P) \u2227 (K \u2228 P)) \u2228 ((0 \u2227 P) \u2227 0)", "id": 170}, {"char_len": 2633, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 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"tokens_len": 1723, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acA) \u2227 (0 \u2228 0)) \u2227 ((G \u2227 0) \u2228 (A \u2228 G))\n\nOptions:\n((G \u2227 0) \u2228 (A \u2228 G)) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\n(\u00acA) \u2227 ((0 \u2228 0) \u2227 ((G \u2227 0) \u2228 (A \u2228 G)))\n(((\u00acA) \u2227 (0 \u2228 0)) \u2227 (G \u2227 0)) \u2228 (((\u00acA) \u2227 (0 \u2228 0)) \u2227 (A \u2228 G))\n((\u00acA) \u2227 (0 \u2228 0)) \u2227 ((A \u2228 G) \u2228 (G \u2227 0))\n((\u00acA) \u2227 (0 \u2228 0)) \u2227 (((G \u2227 0) \u2228 A) \u2228 G)\n((\u00acA) \u2227 (0 \u2228 0)) \u2227 ((G \u2227 0) \u2228 (G \u2228 A))\n((\u00acA) \u2227 (0 \u2228 0)) \u2227 (0 \u2228 (A \u2228 G))\n((\u00acA) \u2227 (0 \u2228 0)) \u2227 ((0 \u2227 G) \u2228 (A \u2228 G))\n((0 \u2228 0) \u2227 (\u00acA)) \u2227 ((G \u2227 0) \u2228 (A \u2228 G))\n(((\u00acA) \u2227 0) \u2228 ((\u00acA) \u2227 0)) \u2227 ((G \u2227 0) \u2228 (A \u2228 G))\n((\u00acA) \u2227 0) \u2227 ((G \u2227 0) \u2228 (A \u2228 G))\nChosen: ((G \u2227 0) \u2228 (A \u2228 G)) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\n\nOptions:\n(((G \u2227 0) \u2228 (A \u2228 G)) \u2227 (\u00acA)) \u2227 (0 \u2228 0)\n((G \u2227 0) \u2228 (A \u2228 G)) \u2227 ((0 \u2228 0) \u2227 (\u00acA))\n((G \u2227 0) \u2228 (A \u2228 G)) \u2227 (((\u00acA) \u2227 0) \u2228 ((\u00acA) \u2227 0))\n((G \u2227 0) \u2228 (A \u2228 G)) \u2227 ((\u00acA) \u2227 0)\n((A \u2228 G) \u2228 (G \u2227 0)) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\n((G \u2227 0) \u2228 (G \u2228 A)) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\n(0 \u2228 (A \u2228 G)) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\n((0 \u2227 G) \u2228 (A \u2228 G)) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\nChosen: (((G \u2227 0) \u2228 A) \u2228 G) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\n\nOptions:\n((\u00acA) \u2227 (0 \u2228 0)) \u2227 (((G \u2227 0) \u2228 A) \u2228 G)\n((((G \u2227 0) \u2228 A) \u2228 G) \u2227 (\u00acA)) \u2227 (0 \u2228 0)\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 ((0 \u2228 0) \u2227 (\u00acA))\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 (((\u00acA) \u2227 0) \u2228 ((\u00acA) \u2227 0))\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 ((\u00acA) \u2227 0)\n(G \u2228 ((G \u2227 0) \u2228 A)) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\n((A \u2228 (G \u2227 0)) \u2228 G) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\n((0 \u2228 A) \u2228 G) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\n(((0 \u2227 G) \u2228 A) \u2228 G) \u2227 ((\u00acA) \u2227 (0 \u2228 0))\nChosen: (((G \u2227 0) \u2228 A) \u2228 G) \u2227 (((\u00acA) \u2227 0) \u2228 ((\u00acA) \u2227 0))\n\nOptions:\n(((\u00acA) \u2227 0) \u2228 ((\u00acA) \u2227 0)) \u2227 (((G \u2227 0) \u2228 A) \u2228 G)\n((((G \u2227 0) \u2228 A) \u2228 G) \u2227 ((\u00acA) \u2227 0)) \u2228 ((((G \u2227 0) \u2228 A) \u2228 G) \u2227 ((\u00acA) \u2227 0))\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 ((((\u00acA) \u2227 0) \u2228 (\u00acA)) \u2227 (((\u00acA) \u2227 0) \u2228 0))\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 (((\u00acA) \u2227 0) \u2228 0)\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 (((\u00acA) \u2227 0) \u2228 (0 \u2227 (\u00acA)))\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 (0 \u2228 ((\u00acA) \u2227 0))\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 ((0 \u2227 (\u00acA)) \u2228 ((\u00acA) \u2227 0))\n(G \u2228 ((G \u2227 0) \u2228 A)) \u2227 (((\u00acA) \u2227 0) \u2228 ((\u00acA) \u2227 0))\n((G \u2227 0) \u2228 (A \u2228 G)) \u2227 (((\u00acA) \u2227 0) \u2228 ((\u00acA) \u2227 0))\n((A \u2228 (G \u2227 0)) \u2228 G) \u2227 (((\u00acA) \u2227 0) \u2228 ((\u00acA) \u2227 0))\n((0 \u2228 A) \u2228 G) \u2227 (((\u00acA) \u2227 0) \u2228 ((\u00acA) \u2227 0))\n(((0 \u2227 G) \u2228 A) \u2228 G) \u2227 (((\u00acA) \u2227 0) \u2228 ((\u00acA) \u2227 0))\nChosen: (((G \u2227 0) \u2228 A) \u2228 G) \u2227 (0 \u2228 ((\u00acA) \u2227 0))\n\nOptions:\n(0 \u2228 ((\u00acA) \u2227 0)) \u2227 (((G \u2227 0) \u2228 A) \u2228 G)\n((((G \u2227 0) \u2228 A) \u2228 G) \u2227 0) \u2228 ((((G \u2227 0) \u2228 A) \u2228 G) \u2227 ((\u00acA) \u2227 0))\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 ((\u00acA) \u2227 0)\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 (((\u00acA) \u2227 0) \u2228 0)\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 ((0 \u2228 (\u00acA)) \u2227 (0 \u2228 0))\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 (0 \u2228 0)\n(((G \u2227 0) \u2228 A) \u2228 G) \u2227 (0 \u2228 (0 \u2227 (\u00acA)))\n(G \u2228 ((G \u2227 0) \u2228 A)) \u2227 (0 \u2228 ((\u00acA) \u2227 0))\n((G \u2227 0) \u2228 (A \u2228 G)) \u2227 (0 \u2228 ((\u00acA) \u2227 0))\n((A \u2228 (G \u2227 0)) \u2228 G) \u2227 (0 \u2228 ((\u00acA) \u2227 0))\n((0 \u2228 A) \u2228 G) \u2227 (0 \u2228 ((\u00acA) \u2227 0))\n(((0 \u2227 G) \u2228 A) \u2228 G) \u2227 (0 \u2228 ((\u00acA) \u2227 0))\nChosen: (((G \u2227 0) \u2228 A) \u2228 G) \u2227 (0 \u2228 0)", "id": 171}, {"char_len": 183, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 16, 12264, 101, 220, 16, 4489, 3883, 512, 16, 12264, 101, 220, 16, 198, 83193, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 1192, 83193, 7, 83193, 16, 340, 1163, 8477, 25, 220, 16, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 70, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(1 \u2228 1))\n\nOptions:\n1 \u2228 1\n\u00ac((\u00ac1) \u2227 (\u00ac1))\n\u00ac(\u00ac1)\nChosen: 1 \u2228 1\n\nOptions:\n1\nChosen: 1", "id": 172}, {"char_len": 1049, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 16, 75078, 393, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 393, 6054, 7, 83193, 7, 83193, 15, 595, 12264, 101, 11861, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 393, 1192, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 393, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 47, 75078, 220, 16, 1192, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 393, 1192, 15, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 393, 4489, 3883, 512, 7, 15, 12264, 101, 320, 16, 75078, 393, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 16, 75078, 393, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 393, 8, 12264, 101, 220, 15, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 393, 1192, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 393, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 320, 47, 75078, 220, 16, 1192, 15, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 393, 1192, 7, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 393, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 393, 696, 3883, 512, 7, 15, 12264, 101, 393, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 12264, 101, 220, 15, 8, 12264, 101, 393, 198, 7, 83193, 7, 83193, 15, 595, 12264, 101, 393, 198, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 47, 12264, 101, 220, 15, 340, 15, 12264, 101, 320, 15, 12264, 101, 393, 340, 7, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 393, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 320, 47, 12264, 101, 220, 15, 696, 3883, 512, 5417, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 12264, 101, 393, 8, 12264, 101, 220, 15, 198, 7, 83193, 7, 83193, 15, 595, 12264, 101, 393, 198, 15, 12264, 101, 320, 47, 12264, 101, 220, 15, 340, 7, 83193, 16, 8, 12264, 101, 320, 47, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 83193, 7, 83193, 15, 595, 12264, 101, 393, 8, 12264, 101, 220, 15, 271, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 393, 198, 15, 12264, 101, 1819, 83193, 7, 83193, 15, 595, 12264, 101, 393, 340, 5417, 12264, 101, 320, 83193, 7, 83193, 15, 7861, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 393, 8, 12264, 101, 220, 15, 198, 1209, 83193, 16, 8, 12264, 101, 393, 8, 12264, 101, 220, 15, 198, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 83193, 7, 83193, 15, 595, 12264, 101, 393, 8], "tokenizer": "cl100k_base", "tokens_len": 700, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00ac0)) \u2228 ((0 \u2228 0) \u2228 (1 \u2227 P))\n\nOptions:\n((0 \u2228 0) \u2228 (1 \u2227 P)) \u2228 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2228 (0 \u2228 0)) \u2228 (1 \u2227 P)\n(\u00ac(\u00ac0)) \u2228 ((1 \u2227 P) \u2228 (0 \u2228 0))\n(\u00ac(\u00ac0)) \u2228 (0 \u2228 (0 \u2228 (1 \u2227 P)))\n(\u00ac(\u00ac0)) \u2228 (((0 \u2228 0) \u2228 1) \u2227 ((0 \u2228 0) \u2228 P))\n(\u00ac(\u00ac0)) \u2228 ((0 \u2228 0) \u2228 P)\n(\u00ac(\u00ac0)) \u2228 ((0 \u2228 0) \u2228 (P \u2227 1))\n(\u00ac(\u00ac0)) \u2228 (0 \u2228 (1 \u2227 P))\n0 \u2228 ((0 \u2228 0) \u2228 (1 \u2227 P))\n(\u00ac1) \u2228 ((0 \u2228 0) \u2228 (1 \u2227 P))\nChosen: (\u00ac(\u00ac0)) \u2228 (0 \u2228 (1 \u2227 P))\n\nOptions:\n(0 \u2228 (1 \u2227 P)) \u2228 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2228 0) \u2228 (1 \u2227 P)\n(\u00ac(\u00ac0)) \u2228 (1 \u2227 P)\n(\u00ac(\u00ac0)) \u2228 ((1 \u2227 P) \u2228 0)\n(\u00ac(\u00ac0)) \u2228 ((0 \u2228 1) \u2227 (0 \u2228 P))\n(\u00ac(\u00ac0)) \u2228 (0 \u2228 P)\n(\u00ac(\u00ac0)) \u2228 (0 \u2228 (P \u2227 1))\n0 \u2228 (0 \u2228 (1 \u2227 P))\n(\u00ac1) \u2228 (0 \u2228 (1 \u2227 P))\nChosen: (\u00ac(\u00ac0)) \u2228 (0 \u2228 P)\n\nOptions:\n(0 \u2228 P) \u2228 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2228 0) \u2228 P\n(\u00ac(\u00ac0)) \u2228 P\n(\u00ac(\u00ac0)) \u2228 (P \u2228 0)\n0 \u2228 (0 \u2228 P)\n(\u00ac1) \u2228 (0 \u2228 P)\nChosen: (\u00ac(\u00ac0)) \u2228 (P \u2228 0)\n\nOptions:\n(P \u2228 0) \u2228 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2228 P) \u2228 0\n(\u00ac(\u00ac0)) \u2228 P\n0 \u2228 (P \u2228 0)\n(\u00ac1) \u2228 (P \u2228 0)\nChosen: ((\u00ac(\u00ac0)) \u2228 P) \u2228 0\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 P\n0 \u2228 ((\u00ac(\u00ac0)) \u2228 P)\n(P \u2228 (\u00ac(\u00ac0))) \u2228 0\n(0 \u2228 P) \u2228 0\n((\u00ac1) \u2228 P) \u2228 0\nChosen: 0 \u2228 ((\u00ac(\u00ac0)) \u2228 P)", "id": 173}, {"char_len": 581, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 16, 75078, 432, 8, 75078, 320, 42, 12264, 101, 735, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 432, 595, 12264, 101, 320, 83193, 7, 42, 12264, 101, 735, 1192, 83193, 1209, 42, 12264, 101, 735, 8, 75078, 320, 16, 75078, 432, 1192, 83193, 7, 16, 75078, 320, 49, 75078, 320, 42, 12264, 101, 735, 6054, 83193, 6774, 16, 75078, 432, 8, 75078, 735, 8, 12264, 101, 1819, 16, 75078, 432, 8, 75078, 735, 1192, 83193, 1209, 16, 75078, 432, 8, 75078, 735, 340, 83193, 7, 49, 75078, 320, 42, 12264, 101, 735, 1192, 83193, 1209, 49, 75078, 220, 16, 8, 75078, 320, 42, 12264, 101, 735, 1192, 1163, 8477, 25, 97265, 1209, 16, 75078, 432, 8, 75078, 735, 696, 3883, 512, 7, 83193, 7, 16, 75078, 432, 595, 12264, 101, 320, 83193, 42, 340, 83193, 7, 42, 75078, 320, 16, 75078, 432, 1192, 83193, 7, 16, 75078, 320, 49, 75078, 735, 1192, 83193, 7, 49, 75078, 735, 340, 83193, 1209, 49, 75078, 220, 16, 8, 75078, 735, 340, 1163, 8477, 25, 97265, 7, 42, 75078, 320, 16, 75078, 432, 4489, 3883, 512, 7, 83193, 42, 8, 12264, 101, 320, 83193, 7, 16, 75078, 432, 1192, 83193, 1209, 42, 75078, 220, 16, 8, 75078, 432, 340, 83193, 7, 42, 75078, 432, 340, 83193, 7, 42, 75078, 320, 49, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 42, 75078, 432, 696, 3883, 512, 7, 83193, 42, 8, 12264, 101, 320, 83193, 49, 340, 83193, 7, 49, 75078, 735, 340, 1163, 8477, 25, 97265, 7, 49, 75078, 735, 696, 3883, 512, 7, 83193, 49, 8, 12264, 101, 320, 83193, 42, 340, 1163, 8477, 25, 320, 83193, 49, 8, 12264, 101, 320, 83193, 42, 8], "tokenizer": "cl100k_base", "tokens_len": 303, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((1 \u2227 R) \u2227 (K \u2228 K))\n\nOptions:\n(\u00ac(1 \u2227 R)) \u2228 (\u00ac(K \u2228 K))\n\u00ac((K \u2228 K) \u2227 (1 \u2227 R))\n\u00ac(1 \u2227 (R \u2227 (K \u2228 K)))\n\u00ac(((1 \u2227 R) \u2227 K) \u2228 ((1 \u2227 R) \u2227 K))\n\u00ac((1 \u2227 R) \u2227 K)\n\u00ac(R \u2227 (K \u2228 K))\n\u00ac((R \u2227 1) \u2227 (K \u2228 K))\nChosen: \u00ac((1 \u2227 R) \u2227 K)\n\nOptions:\n(\u00ac(1 \u2227 R)) \u2228 (\u00acK)\n\u00ac(K \u2227 (1 \u2227 R))\n\u00ac(1 \u2227 (R \u2227 K))\n\u00ac(R \u2227 K)\n\u00ac((R \u2227 1) \u2227 K)\nChosen: \u00ac(K \u2227 (1 \u2227 R))\n\nOptions:\n(\u00acK) \u2228 (\u00ac(1 \u2227 R))\n\u00ac((K \u2227 1) \u2227 R)\n\u00ac(K \u2227 R)\n\u00ac(K \u2227 (R \u2227 1))\nChosen: \u00ac(K \u2227 R)\n\nOptions:\n(\u00acK) \u2228 (\u00acR)\n\u00ac(R \u2227 K)\nChosen: \u00ac(R \u2227 K)\n\nOptions:\n(\u00acR) \u2228 (\u00acK)\nChosen: (\u00acR) \u2228 (\u00acK)", "id": 174}, {"char_len": 831, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 50, 8, 12264, 101, 320, 16, 75078, 328, 595, 12264, 101, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 16, 75078, 328, 1192, 7, 83193, 50, 8, 12264, 101, 1819, 16, 75078, 328, 8, 12264, 101, 320, 83193, 7, 83193, 15, 6054, 1209, 83193, 50, 8, 12264, 101, 320, 16, 75078, 328, 595, 12264, 101, 220, 15, 198, 1209, 83193, 50, 8, 12264, 101, 320, 16, 75078, 328, 595, 12264, 101, 320, 83193, 16, 340, 1209, 16, 75078, 328, 8, 12264, 101, 320, 83193, 50, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 6774, 83193, 50, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 50, 8, 12264, 101, 328, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 50, 8, 12264, 101, 328, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 50, 8, 12264, 101, 320, 50, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 50, 8, 12264, 101, 320, 16, 75078, 328, 595, 12264, 101, 220, 15, 271, 3883, 512, 7, 83193, 50, 8, 12264, 101, 320, 16, 75078, 328, 340, 15, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 16, 75078, 328, 1192, 7, 83193, 50, 8, 12264, 101, 1819, 16, 75078, 328, 8, 12264, 101, 220, 15, 340, 1209, 16, 75078, 328, 8, 12264, 101, 320, 83193, 50, 595, 12264, 101, 220, 15, 198, 6774, 83193, 50, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 50, 8, 12264, 101, 328, 595, 12264, 101, 220, 15, 198, 1209, 83193, 50, 8, 12264, 101, 328, 8, 12264, 101, 220, 15, 198, 1209, 83193, 50, 8, 12264, 101, 320, 50, 75078, 220, 16, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 16, 75078, 328, 4489, 3883, 512, 7, 83193, 50, 8, 12264, 101, 320, 16, 75078, 328, 340, 7, 15, 12264, 101, 320, 83193, 50, 595, 12264, 101, 320, 16, 75078, 328, 340, 15, 12264, 101, 1819, 16, 75078, 328, 8, 12264, 101, 320, 83193, 50, 1192, 15, 12264, 101, 11861, 83193, 50, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 50, 8, 12264, 101, 328, 1192, 15, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 328, 340, 15, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 320, 50, 75078, 220, 16, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 83193, 50, 8, 12264, 101, 328, 696, 3883, 512, 7, 83193, 50, 8, 12264, 101, 328, 198, 1209, 83193, 50, 8, 12264, 101, 328, 8, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 320, 83193, 50, 595, 12264, 101, 328, 198, 15, 12264, 101, 220, 16, 198, 15, 12264, 101, 320, 50, 12264, 101, 320, 83193, 50, 1192, 1163, 8477, 25, 320, 83193, 50, 8, 12264, 101, 328, 271, 3883, 512, 16, 198, 50, 12264, 101, 320, 83193, 50, 340, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 523, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acS) \u2228 (1 \u2227 S)) \u2228 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 ((\u00acS) \u2228 (1 \u2227 S))\n(\u00acS) \u2228 ((1 \u2227 S) \u2228 (\u00ac(\u00ac0)))\n((\u00acS) \u2228 (1 \u2227 S)) \u2228 0\n((\u00acS) \u2228 (1 \u2227 S)) \u2228 (\u00ac1)\n((1 \u2227 S) \u2228 (\u00acS)) \u2228 (\u00ac(\u00ac0))\n(((\u00acS) \u2228 1) \u2227 ((\u00acS) \u2228 S)) \u2228 (\u00ac(\u00ac0))\n((\u00acS) \u2228 S) \u2228 (\u00ac(\u00ac0))\n((\u00acS) \u2228 (S \u2227 1)) \u2228 (\u00ac(\u00ac0))\nChosen: ((\u00acS) \u2228 (1 \u2227 S)) \u2228 0\n\nOptions:\n(\u00acS) \u2228 (1 \u2227 S)\n0 \u2228 ((\u00acS) \u2228 (1 \u2227 S))\n(\u00acS) \u2228 ((1 \u2227 S) \u2228 0)\n((1 \u2227 S) \u2228 (\u00acS)) \u2228 0\n(((\u00acS) \u2228 1) \u2227 ((\u00acS) \u2228 S)) \u2228 0\n((\u00acS) \u2228 S) \u2228 0\n((\u00acS) \u2228 (S \u2227 1)) \u2228 0\nChosen: 0 \u2228 ((\u00acS) \u2228 (1 \u2227 S))\n\nOptions:\n(\u00acS) \u2228 (1 \u2227 S)\n(0 \u2228 (\u00acS)) \u2228 (1 \u2227 S)\n0 \u2228 ((1 \u2227 S) \u2228 (\u00acS))\n0 \u2228 (((\u00acS) \u2228 1) \u2227 ((\u00acS) \u2228 S))\n0 \u2228 ((\u00acS) \u2228 S)\n0 \u2228 ((\u00acS) \u2228 (S \u2227 1))\nChosen: 0 \u2228 ((\u00acS) \u2228 S)\n\nOptions:\n(\u00acS) \u2228 S\n((\u00acS) \u2228 S) \u2228 0\n(0 \u2228 (\u00acS)) \u2228 S\n0 \u2228 1\n0 \u2228 (S \u2228 (\u00acS))\nChosen: (\u00acS) \u2228 S\n\nOptions:\n1\nS \u2228 (\u00acS)\nChosen: 1", "id": 175}, {"char_len": 5444, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 75078, 320, 33, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 16, 75078, 220, 16, 8, 75078, 320, 33, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 426, 1192, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 33, 12264, 101, 426, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 75078, 320, 33, 12264, 101, 220, 16, 6054, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 11861, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 12264, 101, 320, 33, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 12264, 101, 1819, 33, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 12264, 101, 320, 16, 75078, 320, 16, 75078, 320, 33, 12264, 101, 220, 16, 6054, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 12264, 101, 11861, 16, 75078, 220, 16, 8, 75078, 426, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 75078, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 12264, 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12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 220, 16, 198, 67944, 16, 12264, 101, 220, 16, 8, 12264, 101, 426, 8, 12264, 101, 426, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 220, 16, 198, 1209, 16, 12264, 101, 320, 16, 12264, 101, 320, 33, 12264, 101, 426, 7861, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 220, 16, 198, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 426, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 220, 16, 198, 1209, 16, 12264, 101, 320, 33, 12264, 101, 426, 595, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 220, 16, 198, 1163, 8477, 25, 11861, 16, 12264, 101, 220, 16, 8, 12264, 101, 426, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 3858, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 ((1 \u2227 1) \u2227 (B \u2228 1))\n\nOptions:\n((1 \u2227 1) \u2227 (B \u2228 1)) \u2228 ((1 \u2228 1) \u2228 (B \u2228 B))\n(1 \u2228 1) \u2228 ((B \u2228 B) \u2228 ((1 \u2227 1) \u2227 (B \u2228 1)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 ((B \u2228 1) \u2227 (1 \u2227 1))\n((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 (1 \u2227 (B \u2228 1)))\n((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (((1 \u2227 1) \u2227 B) \u2228 ((1 \u2227 1) \u2227 1))\n((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 ((1 \u2227 1) \u2227 1)\n((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 ((1 \u2227 1) \u2227 (1 \u2228 B))\n((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 (B \u2228 1))\n((B \u2228 B) \u2228 (1 \u2228 1)) \u2228 ((1 \u2227 1) \u2227 (B \u2228 1))\n(((1 \u2228 1) \u2228 B) \u2228 B) \u2228 ((1 \u2227 1) \u2227 (B \u2228 1))\n(1 \u2228 (1 \u2228 (B \u2228 B))) \u2228 ((1 \u2227 1) \u2227 (B \u2228 1))\n((1 \u2228 1) \u2228 B) \u2228 ((1 \u2227 1) \u2227 (B \u2228 1))\n(1 \u2228 (B \u2228 B)) \u2228 ((1 \u2227 1) \u2227 (B \u2228 1))\nChosen: (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n\nOptions:\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1)) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1))\n((((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 (B \u2228 B))) \u2228 ((((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (B \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((B \u2228 1) \u2228 ((1 \u2228 1) \u2228 (B \u2228 B)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 B) \u2228 1)\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1)\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2228 B))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (((B \u2228 B) \u2228 (1 \u2228 1)) \u2228 (B \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((((1 \u2228 1) \u2228 B) \u2228 B) \u2228 (B \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 (1 \u2228 (B \u2228 B))) \u2228 (B \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (((1 \u2228 1) \u2228 B) \u2228 (B \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n((1 \u2227 1) \u2228 ((1 \u2228 1) \u2228 (B \u2228 B))) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (1 \u2227 1))) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n((((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1)) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n(((B \u2228 B) \u2228 (1 \u2228 1)) \u2228 (1 \u2227 1)) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n((((1 \u2228 1) \u2228 B) \u2228 B) \u2228 (1 \u2227 1)) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n((1 \u2228 (1 \u2228 (B \u2228 B))) \u2228 (1 \u2227 1)) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n(((1 \u2228 1) \u2228 B) \u2228 (1 \u2227 1)) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n((1 \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\nChosen: (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n\nOptions:\n((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1))) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1))\n((((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 1)) \u2228 ((((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((B \u2228 B) \u2228 (B \u2228 1)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (((B \u2228 B) \u2228 (B \u2228 1)) \u2228 (1 \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1))))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 1) \u2228 (B \u2228 B)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 (((B \u2228 B) \u2228 B) \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 (B \u2228 (B \u2228 (B \u2228 1))))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (1 \u2228 B)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 (B \u2228 (B \u2228 1)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n((1 \u2227 1) \u2228 ((1 \u2228 1) \u2228 (B \u2228 B))) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (1 \u2227 1))) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n((((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1)) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n(((B \u2228 B) \u2228 (1 \u2228 1)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n((((1 \u2228 1) \u2228 B) \u2228 B) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n((1 \u2228 (1 \u2228 (B \u2228 B))) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n(((1 \u2228 1) \u2228 B) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n((1 \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\nChosen: (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n\nOptions:\n(1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1))) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1))\n((((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 1) \u2228 ((((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((B \u2228 B) \u2228 (B \u2228 1)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 1\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (((B \u2228 B) \u2228 (B \u2228 1)) \u2228 1)\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 (B \u2228 B)) \u2228 (B \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 ((B \u2228 1) \u2228 (B \u2228 B)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 (((B \u2228 B) \u2228 B) \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 (B \u2228 (B \u2228 (B \u2228 1))))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 ((B \u2228 B) \u2228 1))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (1 \u2228 B)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 (B \u2228 (B \u2228 1)))\n((1 \u2227 1) \u2228 ((1 \u2228 1) \u2228 (B \u2228 B))) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (1 \u2227 1))) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n((((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1)) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n(((B \u2228 B) \u2228 (1 \u2228 1)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n((((1 \u2228 1) \u2228 B) \u2228 B) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n((1 \u2228 (1 \u2228 (B \u2228 B))) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n(((1 \u2228 1) \u2228 B) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\n((1 \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 ((B \u2228 B) \u2228 (B \u2228 1)))\nChosen: (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 1\n\nOptions:\n((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)\n1 \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 (1 \u2227 1))\n((1 \u2227 1) \u2228 ((1 \u2228 1) \u2228 (B \u2228 B))) \u2227 1\n((1 \u2228 1) \u2228 ((B \u2228 B) \u2228 (1 \u2227 1))) \u2227 1\n((((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1) \u2227 (((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1)) \u2227 1\n(((1 \u2228 1) \u2228 (B \u2228 B)) \u2228 1) \u2227 1\n(((B \u2228 B) \u2228 (1 \u2228 1)) \u2228 (1 \u2227 1)) \u2227 1\n((((1 \u2228 1) \u2228 B) \u2228 B) \u2228 (1 \u2227 1)) \u2227 1\n((1 \u2228 (1 \u2228 (B \u2228 B))) \u2228 (1 \u2227 1)) \u2227 1\n(((1 \u2228 1) \u2228 B) \u2228 (1 \u2227 1)) \u2227 1\n((1 \u2228 (B \u2228 B)) \u2228 (1 \u2227 1)) \u2227 1\nChosen: (((1 \u2228 1) \u2228 B) \u2228 (1 \u2227 1)) \u2227 1", "id": 176}, {"char_len": 581, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 32, 12264, 101, 445, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 32, 12264, 101, 445, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 320, 32, 12264, 101, 445, 1192, 83193, 1209, 32, 12264, 101, 445, 8, 75078, 220, 16, 340, 83193, 1209, 43, 12264, 101, 362, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 97265, 1209, 43, 12264, 101, 362, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 43, 12264, 101, 362, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 320, 43, 12264, 101, 362, 1192, 83193, 1209, 43, 12264, 101, 362, 8, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 1209, 83193, 15, 8, 75078, 320, 43, 12264, 101, 362, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 7, 43, 12264, 101, 362, 1192, 83193, 6774, 83193, 15, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 362, 1192, 83193, 1209, 83193, 15, 8, 75078, 320, 32, 12264, 101, 445, 1192, 83193, 7, 16, 75078, 320, 43, 12264, 101, 362, 1192, 1163, 8477, 25, 97265, 7, 16, 75078, 320, 43, 12264, 101, 362, 4489, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 43, 12264, 101, 362, 1192, 83193, 7, 43, 12264, 101, 362, 340, 83193, 1209, 43, 12264, 101, 362, 8, 75078, 220, 16, 340, 83193, 1209, 16, 75078, 445, 8, 12264, 101, 320, 16, 75078, 362, 1192, 83193, 7, 16, 75078, 320, 32, 12264, 101, 445, 1192, 1163, 8477, 25, 97265, 7, 43, 12264, 101, 362, 696, 3883, 512, 7, 83193, 43, 8, 75078, 320, 83193, 32, 340, 83193, 7, 32, 12264, 101, 445, 340, 1163, 8477, 25, 97265, 7, 32, 12264, 101, 445, 8], "tokenizer": "cl100k_base", "tokens_len": 319, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((A \u2228 L) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac(A \u2228 L)) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac0) \u2227 (A \u2228 L))\n\u00ac((A \u2228 L) \u2227 1)\n\u00ac((L \u2228 A) \u2227 (\u00ac0))\nChosen: \u00ac((L \u2228 A) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac(L \u2228 A)) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac0) \u2227 (L \u2228 A))\n\u00ac((L \u2228 A) \u2227 1)\nChosen: \u00ac((\u00ac0) \u2227 (L \u2228 A))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (\u00ac(L \u2228 A))\n\u00ac(((\u00ac0) \u2227 L) \u2228 ((\u00ac0) \u2227 A))\n\u00ac((\u00ac0) \u2227 (A \u2228 L))\n\u00ac(1 \u2227 (L \u2228 A))\nChosen: \u00ac(1 \u2227 (L \u2228 A))\n\nOptions:\n(\u00ac1) \u2228 (\u00ac(L \u2228 A))\n\u00ac(L \u2228 A)\n\u00ac((L \u2228 A) \u2227 1)\n\u00ac((1 \u2227 L) \u2228 (1 \u2227 A))\n\u00ac(1 \u2227 (A \u2228 L))\nChosen: \u00ac(L \u2228 A)\n\nOptions:\n(\u00acL) \u2227 (\u00acA)\n\u00ac(A \u2228 L)\nChosen: \u00ac(A \u2228 L)", "id": 177}, {"char_len": 2004, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 1192, 6774, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 39, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 11861, 16, 75078, 220, 15, 8, 12264, 101, 473, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 39, 75078, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 6774, 83193, 16, 8, 75078, 473, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 473, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 7, 15, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 473, 4489, 3883, 512, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 473, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 1192, 6774, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 473, 340, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 473, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 11861, 16, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 473, 340, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1209, 39, 75078, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 473, 1192, 6774, 83193, 16, 8, 75078, 473, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1209, 83193, 16, 8, 75078, 473, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1209, 83193, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 473, 1192, 7, 15, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 473, 4489, 3883, 512, 7, 15, 12264, 101, 320, 16, 12264, 101, 473, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 1192, 6774, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 473, 340, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 473, 340, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 473, 8, 12264, 101, 220, 15, 340, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 473, 340, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 39, 75078, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 473, 1192, 6774, 83193, 16, 8, 75078, 473, 8, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1209, 83193, 16, 8, 75078, 473, 8, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1209, 83193, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 473, 1192, 7, 15, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 696, 3883, 512, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 1192, 6774, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 198, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1209, 39, 75078, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 6774, 83193, 16, 8, 75078, 473, 8, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 75078, 473, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 15, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 39, 75078, 220, 16, 1192, 1209, 39, 75078, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 6774, 83193, 16, 8, 75078, 473, 8, 75078, 220, 16, 8, 12264, 101, 220, 16, 198, 1209, 83193, 16, 8, 75078, 473, 8, 12264, 101, 220, 16, 198, 1209, 83193, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 220, 16, 198, 7, 15, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1343, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac1) \u2227 (H \u2227 1)) \u2228 ((1 \u2227 0) \u2228 (H \u2228 1))\n\nOptions:\n((1 \u2227 0) \u2228 (H \u2228 1)) \u2228 ((\u00ac1) \u2227 (H \u2227 1))\n(((\u00ac1) \u2227 (H \u2227 1)) \u2228 (1 \u2227 0)) \u2228 (H \u2228 1)\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 ((H \u2228 1) \u2228 (1 \u2227 0))\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 (((1 \u2227 0) \u2228 H) \u2228 1)\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 ((1 \u2227 0) \u2228 1)\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 ((1 \u2227 0) \u2228 (1 \u2228 H))\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 (0 \u2228 (H \u2228 1))\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 ((0 \u2227 1) \u2228 (H \u2228 1))\n((H \u2227 1) \u2227 (\u00ac1)) \u2228 ((1 \u2227 0) \u2228 (H \u2228 1))\n(((\u00ac1) \u2227 H) \u2227 1) \u2228 ((1 \u2227 0) \u2228 (H \u2228 1))\n((\u00ac1) \u2227 H) \u2228 ((1 \u2227 0) \u2228 (H \u2228 1))\n((\u00ac1) \u2227 (1 \u2227 H)) \u2228 ((1 \u2227 0) \u2228 (H \u2228 1))\n(0 \u2227 (H \u2227 1)) \u2228 ((1 \u2227 0) \u2228 (H \u2228 1))\nChosen: ((\u00ac1) \u2227 (H \u2227 1)) \u2228 ((1 \u2227 0) \u2228 (1 \u2228 H))\n\nOptions:\n((1 \u2227 0) \u2228 (1 \u2228 H)) \u2228 ((\u00ac1) \u2227 (H \u2227 1))\n(((\u00ac1) \u2227 (H \u2227 1)) \u2228 (1 \u2227 0)) \u2228 (1 \u2228 H)\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 ((1 \u2228 H) \u2228 (1 \u2227 0))\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 (((1 \u2227 0) \u2228 1) \u2228 H)\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 ((1 \u2227 0) \u2228 1)\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 (0 \u2228 (1 \u2228 H))\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 ((0 \u2227 1) \u2228 (1 \u2228 H))\n((H \u2227 1) \u2227 (\u00ac1)) \u2228 ((1 \u2227 0) \u2228 (1 \u2228 H))\n(((\u00ac1) \u2227 H) \u2227 1) \u2228 ((1 \u2227 0) \u2228 (1 \u2228 H))\n((\u00ac1) \u2227 H) \u2228 ((1 \u2227 0) \u2228 (1 \u2228 H))\n((\u00ac1) \u2227 (1 \u2227 H)) \u2228 ((1 \u2227 0) \u2228 (1 \u2228 H))\n(0 \u2227 (H \u2227 1)) \u2228 ((1 \u2227 0) \u2228 (1 \u2228 H))\nChosen: ((\u00ac1) \u2227 (H \u2227 1)) \u2228 (0 \u2228 (1 \u2228 H))\n\nOptions:\n(0 \u2228 (1 \u2228 H)) \u2228 ((\u00ac1) \u2227 (H \u2227 1))\n(((\u00ac1) \u2227 (H \u2227 1)) \u2228 0) \u2228 (1 \u2228 H)\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 (1 \u2228 H)\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 ((1 \u2228 H) \u2228 0)\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 ((0 \u2228 1) \u2228 H)\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 (0 \u2228 1)\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 (0 \u2228 (H \u2228 1))\n((H \u2227 1) \u2227 (\u00ac1)) \u2228 (0 \u2228 (1 \u2228 H))\n(((\u00ac1) \u2227 H) \u2227 1) \u2228 (0 \u2228 (1 \u2228 H))\n((\u00ac1) \u2227 H) \u2228 (0 \u2228 (1 \u2228 H))\n((\u00ac1) \u2227 (1 \u2227 H)) \u2228 (0 \u2228 (1 \u2228 H))\n(0 \u2227 (H \u2227 1)) \u2228 (0 \u2228 (1 \u2228 H))\nChosen: ((\u00ac1) \u2227 (H \u2227 1)) \u2228 (0 \u2228 1)\n\nOptions:\n(0 \u2228 1) \u2228 ((\u00ac1) \u2227 (H \u2227 1))\n(((\u00ac1) \u2227 (H \u2227 1)) \u2228 0) \u2228 1\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 1\n((\u00ac1) \u2227 (H \u2227 1)) \u2228 (1 \u2228 0)\n((H \u2227 1) \u2227 (\u00ac1)) \u2228 (0 \u2228 1)\n(((\u00ac1) \u2227 H) \u2227 1) \u2228 (0 \u2228 1)\n((\u00ac1) \u2227 H) \u2228 (0 \u2228 1)\n((\u00ac1) \u2227 (1 \u2227 H)) \u2228 (0 \u2228 1)\n(0 \u2227 (H \u2227 1)) \u2228 (0 \u2228 1)\nChosen: ((\u00ac1) \u2227 (H \u2227 1)) \u2228 1\n\nOptions:\n1\n1 \u2228 ((\u00ac1) \u2227 (H \u2227 1))\n((H \u2227 1) \u2227 (\u00ac1)) \u2228 1\n(((\u00ac1) \u2227 H) \u2227 1) \u2228 1\n((\u00ac1) \u2227 H) \u2228 1\n((\u00ac1) \u2227 (1 \u2227 H)) \u2228 1\n(0 \u2227 (H \u2227 1)) \u2228 1\nChosen: 1", "id": 178}, {"char_len": 409, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 15, 12264, 101, 423, 8, 12264, 101, 320, 83193, 35, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 423, 595, 75078, 320, 83193, 7, 83193, 35, 1192, 83193, 1209, 83193, 35, 8, 12264, 101, 320, 15, 12264, 101, 423, 1192, 83193, 7, 15, 12264, 101, 320, 35, 12264, 101, 320, 83193, 35, 6054, 83193, 7, 35, 12264, 101, 320, 83193, 35, 1192, 83193, 1209, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 35, 1192, 1163, 8477, 25, 97265, 7, 35, 12264, 101, 320, 83193, 35, 4489, 3883, 512, 7, 83193, 35, 8, 75078, 320, 83193, 7, 83193, 35, 1192, 83193, 16, 198, 83193, 1209, 83193, 35, 8, 12264, 101, 423, 340, 1163, 8477, 25, 320, 83193, 35, 8, 75078, 320, 83193, 7, 83193, 35, 4489, 3883, 512, 15, 198, 7, 83193, 7, 83193, 35, 595, 75078, 320, 83193, 35, 340, 7, 83193, 35, 8, 75078, 423, 198, 1163, 8477, 25, 320, 83193, 35, 8, 75078, 423, 271, 3883, 512, 15, 198, 35, 75078, 320, 83193, 35, 340, 1163, 8477, 25, 423, 75078, 320, 83193, 35, 696, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 208, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((0 \u2228 D) \u2228 (\u00acD))\n\nOptions:\n(\u00ac(0 \u2228 D)) \u2227 (\u00ac(\u00acD))\n\u00ac((\u00acD) \u2228 (0 \u2228 D))\n\u00ac(0 \u2228 (D \u2228 (\u00acD)))\n\u00ac(D \u2228 (\u00acD))\n\u00ac((D \u2228 0) \u2228 (\u00acD))\nChosen: \u00ac(D \u2228 (\u00acD))\n\nOptions:\n(\u00acD) \u2227 (\u00ac(\u00acD))\n\u00ac1\n\u00ac((\u00acD) \u2228 D)\nChosen: (\u00acD) \u2227 (\u00ac(\u00acD))\n\nOptions:\n0\n(\u00ac(\u00acD)) \u2227 (\u00acD)\n(\u00acD) \u2227 D\nChosen: (\u00acD) \u2227 D\n\nOptions:\n0\nD \u2227 (\u00acD)\nChosen: D \u2227 (\u00acD)\n\nOptions:\n0\nChosen: 0", "id": 179}, {"char_len": 3110, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 44, 75078, 386, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 4489, 3883, 512, 1209, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 595, 75078, 1819, 44, 75078, 386, 8, 75078, 320, 83193, 16, 1192, 3269, 75078, 386, 8, 75078, 1819, 83193, 16, 8, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 6054, 6774, 44, 75078, 386, 8, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 11861, 44, 75078, 386, 8, 75078, 320, 83193, 16, 595, 75078, 320, 44, 75078, 220, 15, 1192, 1209, 44, 75078, 386, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 42, 12264, 101, 735, 1192, 1209, 44, 75078, 386, 8, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 320, 42, 12264, 101, 320, 44, 75078, 220, 15, 6054, 1209, 44, 75078, 386, 8, 75078, 320, 83193, 16, 595, 75078, 11861, 42, 12264, 101, 735, 8, 12264, 101, 386, 8, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 1192, 1209, 44, 75078, 386, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 1209, 44, 75078, 386, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 15, 75078, 386, 1192, 1209, 44, 75078, 386, 8, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 320, 44, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 44, 75078, 386, 595, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 3269, 75078, 320, 44, 75078, 320, 83193, 16, 7861, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 1209, 44, 75078, 386, 8, 75078, 220, 15, 8, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 3269, 75078, 320, 83193, 16, 595, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 44, 75078, 320, 83193, 16, 595, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 4489, 3883, 512, 1209, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 595, 75078, 320, 44, 75078, 320, 83193, 16, 1192, 44, 75078, 1819, 83193, 16, 8, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 6054, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 44, 75078, 220, 15, 1192, 3269, 75078, 320, 83193, 16, 595, 75078, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 42, 12264, 101, 735, 1192, 3269, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 320, 42, 12264, 101, 320, 44, 75078, 220, 15, 6054, 3269, 75078, 320, 83193, 16, 595, 75078, 11861, 42, 12264, 101, 735, 8, 12264, 101, 386, 8, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 1192, 3269, 75078, 320, 83193, 16, 595, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 3269, 75078, 320, 83193, 16, 595, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 15, 75078, 386, 1192, 3269, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 320, 44, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 386, 8, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 3269, 75078, 220, 15, 8, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 44, 75078, 320, 83193, 16, 595, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 15, 75078, 386, 4489, 3883, 512, 1209, 42, 12264, 101, 735, 8, 12264, 101, 320, 15, 75078, 386, 595, 75078, 320, 44, 75078, 320, 83193, 16, 1192, 44, 75078, 1819, 83193, 16, 8, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 15, 75078, 386, 6054, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 3269, 75078, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 386, 8, 12264, 101, 320, 42, 12264, 101, 735, 1192, 3269, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 320, 42, 12264, 101, 320, 15, 75078, 386, 6054, 3269, 75078, 320, 83193, 16, 595, 75078, 11861, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 8, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 386, 1192, 3269, 75078, 320, 83193, 16, 595, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 3269, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 320, 15, 75078, 386, 1192, 1209, 83193, 16, 8, 75078, 386, 8, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 15, 75078, 386, 1192, 3269, 75078, 220, 15, 8, 75078, 1819, 42, 12264, 101, 735, 8, 12264, 101, 320, 15, 75078, 386, 1192, 1163, 8477, 25, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 4489, 3883, 512, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 1192, 6774, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 320, 44, 75078, 320, 83193, 16, 7861, 75078, 11861, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 320, 15, 75078, 386, 1192, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 15, 75078, 386, 8, 75078, 320, 44, 75078, 320, 83193, 16, 6054, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 11861, 44, 75078, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 386, 340, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 320, 44, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 386, 6054, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 220, 15, 340, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 44, 75078, 220, 15, 1192, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 386, 8, 75078, 320, 15, 75078, 386, 1192, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 15, 75078, 386, 1192, 1209, 42, 12264, 101, 735, 8, 75078, 320, 44, 75078, 320, 83193, 16, 7861, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 3269, 75078, 1819, 83193, 16, 8, 75078, 320, 42, 12264, 101, 735, 7861, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 6774, 44, 75078, 320, 83193, 16, 595, 75078, 735, 8, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 735, 8, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 6774, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 1209, 44, 75078, 220, 15, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 1163, 8477, 25, 11861, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 4489, 3883, 512, 1209, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 1192, 67944, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 320, 44, 75078, 320, 83193, 16, 7861, 75078, 52200, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 320, 15, 75078, 386, 1192, 6774, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 15, 75078, 386, 8, 75078, 320, 44, 75078, 320, 83193, 16, 6054, 6774, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 11861, 44, 75078, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 386, 340, 6774, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 320, 44, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 386, 6054, 6774, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 220, 15, 340, 6774, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 44, 75078, 220, 15, 1192, 6774, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 386, 8, 75078, 320, 15, 75078, 386, 1192, 6774, 83193, 16, 8, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 15, 75078, 386, 1192, 1209, 42, 12264, 101, 735, 8, 75078, 1819, 83193, 16, 8, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 1209, 83193, 16, 8, 75078, 320, 44, 75078, 320, 42, 12264, 101, 735, 7861, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 67944, 83193, 16, 8, 75078, 386, 8, 75078, 735, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 386, 8, 75078, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 6774, 83193, 16, 8, 75078, 386, 8, 75078, 735, 8, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 1209, 15, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 1192, 1163, 8477, 25, 1819, 15, 75078, 386, 8, 75078, 320, 42, 12264, 101, 735, 595, 12264, 101, 1819, 44, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 386, 595], "tokenizer": "cl100k_base", "tokens_len": 1854, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((M \u2227 M) \u2227 (\u00ac1)) \u2227 ((K \u2228 K) \u2228 (M \u2227 0))\n\nOptions:\n((K \u2228 K) \u2228 (M \u2227 0)) \u2227 ((M \u2227 M) \u2227 (\u00ac1))\n(M \u2227 M) \u2227 ((\u00ac1) \u2227 ((K \u2228 K) \u2228 (M \u2227 0)))\n(((M \u2227 M) \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 (((M \u2227 M) \u2227 (\u00ac1)) \u2227 (M \u2227 0))\n((M \u2227 M) \u2227 (\u00ac1)) \u2227 ((M \u2227 0) \u2228 (K \u2228 K))\n((M \u2227 M) \u2227 (\u00ac1)) \u2227 (K \u2228 (K \u2228 (M \u2227 0)))\n((M \u2227 M) \u2227 (\u00ac1)) \u2227 (((K \u2228 K) \u2228 M) \u2227 ((K \u2228 K) \u2228 0))\n((M \u2227 M) \u2227 (\u00ac1)) \u2227 ((K \u2228 K) \u2228 0)\n((M \u2227 M) \u2227 (\u00ac1)) \u2227 ((K \u2228 K) \u2228 (0 \u2227 M))\n((M \u2227 M) \u2227 (\u00ac1)) \u2227 (K \u2228 (M \u2227 0))\n((\u00ac1) \u2227 (M \u2227 M)) \u2227 ((K \u2228 K) \u2228 (M \u2227 0))\n(M \u2227 (M \u2227 (\u00ac1))) \u2227 ((K \u2228 K) \u2228 (M \u2227 0))\n((M \u2227 M) \u2227 0) \u2227 ((K \u2228 K) \u2228 (M \u2227 0))\n(M \u2227 (\u00ac1)) \u2227 ((K \u2228 K) \u2228 (M \u2227 0))\nChosen: (M \u2227 (\u00ac1)) \u2227 ((K \u2228 K) \u2228 (M \u2227 0))\n\nOptions:\n((K \u2228 K) \u2228 (M \u2227 0)) \u2227 (M \u2227 (\u00ac1))\nM \u2227 ((\u00ac1) \u2227 ((K \u2228 K) \u2228 (M \u2227 0)))\n((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (M \u2227 0))\n(M \u2227 (\u00ac1)) \u2227 ((M \u2227 0) \u2228 (K \u2228 K))\n(M \u2227 (\u00ac1)) \u2227 (K \u2228 (K \u2228 (M \u2227 0)))\n(M \u2227 (\u00ac1)) \u2227 (((K \u2228 K) \u2228 M) \u2227 ((K \u2228 K) \u2228 0))\n(M \u2227 (\u00ac1)) \u2227 ((K \u2228 K) \u2228 0)\n(M \u2227 (\u00ac1)) \u2227 ((K \u2228 K) \u2228 (0 \u2227 M))\n(M \u2227 (\u00ac1)) \u2227 (K \u2228 (M \u2227 0))\n((\u00ac1) \u2227 M) \u2227 ((K \u2228 K) \u2228 (M \u2227 0))\n(M \u2227 0) \u2227 ((K \u2228 K) \u2228 (M \u2227 0))\nChosen: (M \u2227 (\u00ac1)) \u2227 ((K \u2228 K) \u2228 (0 \u2227 M))\n\nOptions:\n((K \u2228 K) \u2228 (0 \u2227 M)) \u2227 (M \u2227 (\u00ac1))\nM \u2227 ((\u00ac1) \u2227 ((K \u2228 K) \u2228 (0 \u2227 M)))\n((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n(M \u2227 (\u00ac1)) \u2227 ((0 \u2227 M) \u2228 (K \u2228 K))\n(M \u2227 (\u00ac1)) \u2227 (K \u2228 (K \u2228 (0 \u2227 M)))\n(M \u2227 (\u00ac1)) \u2227 (((K \u2228 K) \u2228 0) \u2227 ((K \u2228 K) \u2228 M))\n(M \u2227 (\u00ac1)) \u2227 ((K \u2228 K) \u2228 0)\n(M \u2227 (\u00ac1)) \u2227 (K \u2228 (0 \u2227 M))\n((\u00ac1) \u2227 M) \u2227 ((K \u2228 K) \u2228 (0 \u2227 M))\n(M \u2227 0) \u2227 ((K \u2228 K) \u2228 (0 \u2227 M))\nChosen: ((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n\nOptions:\n((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (K \u2228 K))\n(((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 (M \u2227 (\u00ac1))) \u2227 (((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 (0 \u2227 M))\n((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 ((0 \u2227 M) \u2227 (M \u2227 (\u00ac1)))\n((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 (((M \u2227 (\u00ac1)) \u2227 0) \u2227 M)\n((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 (M \u2227 ((\u00ac1) \u2227 (0 \u2227 M)))\n((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 0)\n((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (M \u2227 0))\n((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 (((\u00ac1) \u2227 M) \u2227 (0 \u2227 M))\n((M \u2227 (\u00ac1)) \u2227 (K \u2228 K)) \u2228 ((M \u2227 0) \u2227 (0 \u2227 M))\n((K \u2228 K) \u2227 (M \u2227 (\u00ac1))) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n(M \u2227 ((\u00ac1) \u2227 (K \u2228 K))) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n(((M \u2227 (\u00ac1)) \u2227 K) \u2228 ((M \u2227 (\u00ac1)) \u2227 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n((M \u2227 (\u00ac1)) \u2227 K) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n(((\u00ac1) \u2227 M) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n((M \u2227 0) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\nChosen: (((\u00ac1) \u2227 M) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n\nOptions:\n((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M)) \u2228 (((\u00ac1) \u2227 M) \u2227 (K \u2228 K))\n((((\u00ac1) \u2227 M) \u2227 (K \u2228 K)) \u2228 (M \u2227 (\u00ac1))) \u2227 ((((\u00ac1) \u2227 M) \u2227 (K \u2228 K)) \u2228 (0 \u2227 M))\n(((\u00ac1) \u2227 M) \u2227 (K \u2228 K)) \u2228 ((0 \u2227 M) \u2227 (M \u2227 (\u00ac1)))\n(((\u00ac1) \u2227 M) \u2227 (K \u2228 K)) \u2228 (((M \u2227 (\u00ac1)) \u2227 0) \u2227 M)\n(((\u00ac1) \u2227 M) \u2227 (K \u2228 K)) \u2228 (M \u2227 ((\u00ac1) \u2227 (0 \u2227 M)))\n(((\u00ac1) \u2227 M) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 0)\n(((\u00ac1) \u2227 M) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (M \u2227 0))\n(((\u00ac1) \u2227 M) \u2227 (K \u2228 K)) \u2228 (((\u00ac1) \u2227 M) \u2227 (0 \u2227 M))\n(((\u00ac1) \u2227 M) \u2227 (K \u2228 K)) \u2228 ((M \u2227 0) \u2227 (0 \u2227 M))\n((K \u2228 K) \u2227 ((\u00ac1) \u2227 M)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n((\u00ac1) \u2227 (M \u2227 (K \u2228 K))) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n((((\u00ac1) \u2227 M) \u2227 K) \u2228 (((\u00ac1) \u2227 M) \u2227 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n(((\u00ac1) \u2227 M) \u2227 K) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\n((0 \u2227 M) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))\nChosen: ((0 \u2227 M) \u2227 (K \u2228 K)) \u2228 ((M \u2227 (\u00ac1)) \u2227 (0 \u2227 M))", "id": 180}, {"char_len": 1610, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 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101, 220, 16, 8, 75078, 1819, 47, 12264, 101, 393, 8, 12264, 101, 220, 16, 340, 5417, 12264, 101, 393, 8, 12264, 101, 220, 16, 198, 47, 12264, 101, 320, 16, 75078, 220, 16, 340, 1163, 8477, 25, 393, 12264, 101, 320, 16, 75078, 220, 16, 696, 3883, 512, 7, 16, 75078, 220, 16, 8, 12264, 101, 393, 198, 5417, 12264, 101, 220, 16, 8, 75078, 320, 47, 12264, 101, 220, 16, 340, 47, 12264, 101, 220, 16, 198, 1163, 8477, 25, 393, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1058, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 U) \u2228 (1 \u2228 U))\n\nOptions:\n((1 \u2228 U) \u2228 (1 \u2228 U)) \u2227 ((P \u2228 P) \u2228 (1 \u2227 1))\n(((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 U)) \u2228 (((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 U))\n((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 (((1 \u2228 U) \u2228 1) \u2228 U)\n((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 (U \u2228 (1 \u2228 U)))\n((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 U) \u2228 1)\n((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 U) \u2228 (U \u2228 1))\n((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 (1 \u2228 U))\n((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 ((U \u2228 1) \u2228 (1 \u2228 U))\n((1 \u2227 1) \u2228 (P \u2228 P)) \u2227 ((1 \u2228 U) \u2228 (1 \u2228 U))\n(P \u2228 (P \u2228 (1 \u2227 1))) \u2227 ((1 \u2228 U) \u2228 (1 \u2228 U))\n(((P \u2228 P) \u2228 1) \u2227 ((P \u2228 P) \u2228 1)) \u2227 ((1 \u2228 U) \u2228 (1 \u2228 U))\n((P \u2228 P) \u2228 1) \u2227 ((1 \u2228 U) \u2228 (1 \u2228 U))\n(P \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 U) \u2228 (1 \u2228 U))\nChosen: ((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 (1 \u2228 U))\n\nOptions:\n(1 \u2228 (1 \u2228 U)) \u2227 ((P \u2228 P) \u2228 (1 \u2227 1))\n(((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 1) \u2228 (((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 U))\n((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 1\n((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 U) \u2228 1)\n((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 1) \u2228 U)\n((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 1)\n((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 (U \u2228 1))\n((1 \u2227 1) \u2228 (P \u2228 P)) \u2227 (1 \u2228 (1 \u2228 U))\n(P \u2228 (P \u2228 (1 \u2227 1))) \u2227 (1 \u2228 (1 \u2228 U))\n(((P \u2228 P) \u2228 1) \u2227 ((P \u2228 P) \u2228 1)) \u2227 (1 \u2228 (1 \u2228 U))\n((P \u2228 P) \u2228 1) \u2227 (1 \u2228 (1 \u2228 U))\n(P \u2228 (1 \u2227 1)) \u2227 (1 \u2228 (1 \u2228 U))\nChosen: ((P \u2228 P) \u2228 (1 \u2227 1)) \u2227 1\n\nOptions:\n(P \u2228 P) \u2228 (1 \u2227 1)\n1 \u2227 ((P \u2228 P) \u2228 (1 \u2227 1))\n((1 \u2227 1) \u2228 (P \u2228 P)) \u2227 1\n(P \u2228 (P \u2228 (1 \u2227 1))) \u2227 1\n(((P \u2228 P) \u2228 1) \u2227 ((P \u2228 P) \u2228 1)) \u2227 1\n((P \u2228 P) \u2228 1) \u2227 1\n(P \u2228 (1 \u2227 1)) \u2227 1\nChosen: (P \u2228 P) \u2228 (1 \u2227 1)\n\nOptions:\n(1 \u2227 1) \u2228 (P \u2228 P)\nP \u2228 (P \u2228 (1 \u2227 1))\n((P \u2228 P) \u2228 1) \u2227 ((P \u2228 P) \u2228 1)\n(P \u2228 P) \u2228 1\nP \u2228 (1 \u2227 1)\nChosen: P \u2228 (1 \u2227 1)\n\nOptions:\n(1 \u2227 1) \u2228 P\n(P \u2228 1) \u2227 (P \u2228 1)\nP \u2228 1\nChosen: P \u2228 1", "id": 181}, {"char_len": 1175, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 4489, 3883, 512, 1209, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 6774, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 55, 595, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 55, 75078, 1229, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 55, 75078, 1229, 8, 12264, 101, 320, 83193, 55, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 55, 8, 12264, 101, 1630, 8, 75078, 1819, 83193, 55, 8, 12264, 101, 1229, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 48, 75078, 1630, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 1192, 6774, 83193, 48, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 1192, 1209, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 1192, 1163, 8477, 25, 1819, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 4489, 3883, 512, 1209, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 220, 16, 340, 6774, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 55, 595, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 320, 55, 75078, 1229, 1192, 1209, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 1819, 55, 75078, 1229, 8, 12264, 101, 320, 83193, 55, 1192, 1209, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 11861, 83193, 55, 8, 12264, 101, 1630, 8, 75078, 1819, 83193, 55, 8, 12264, 101, 1229, 1192, 1209, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 48, 75078, 1630, 1192, 16, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 1192, 7, 16, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 1192, 1163, 8477, 25, 220, 16, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 4489, 3883, 512, 7, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 340, 1209, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 595, 75078, 220, 16, 198, 7, 16, 75078, 320, 83193, 55, 595, 12264, 101, 320, 16, 75078, 320, 55, 75078, 1229, 1192, 16, 75078, 1819, 55, 75078, 1229, 8, 12264, 101, 320, 83193, 55, 1192, 16, 75078, 11861, 83193, 55, 8, 12264, 101, 1630, 8, 75078, 1819, 83193, 55, 8, 12264, 101, 1229, 1192, 16, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 48, 75078, 1630, 1192, 1163, 8477, 25, 1819, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 595, 75078, 220, 16, 271, 3883, 512, 7, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 340, 1209, 55, 75078, 1229, 8, 12264, 101, 320, 83193, 55, 595, 75078, 220, 16, 198, 6774, 83193, 55, 8, 12264, 101, 1630, 8, 75078, 1819, 83193, 55, 8, 12264, 101, 1229, 595, 75078, 220, 16, 198, 1209, 83193, 55, 8, 12264, 101, 320, 48, 75078, 1630, 595, 75078, 220, 16, 198, 1163, 8477, 25, 320, 83193, 55, 8, 12264, 101, 320, 55, 75078, 1229, 696, 3883, 512, 7799, 75078, 1229, 8, 12264, 101, 320, 83193, 55, 340, 1209, 83193, 55, 8, 12264, 101, 1630, 8, 75078, 1819, 83193, 55, 8, 12264, 101, 1229, 340, 7, 83193, 55, 8, 12264, 101, 320, 48, 75078, 1630, 340, 1163, 8477, 25, 320, 83193, 55, 8, 12264, 101, 320, 48, 75078, 1630, 8], "tokenizer": "cl100k_base", "tokens_len": 724, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acQ) \u2228 (1 \u2228 0)) \u2227 ((\u00acX) \u2228 (X \u2227 Q))\n\nOptions:\n((\u00acX) \u2228 (X \u2227 Q)) \u2227 ((\u00acQ) \u2228 (1 \u2228 0))\n(((\u00acQ) \u2228 (1 \u2228 0)) \u2227 (\u00acX)) \u2228 (((\u00acQ) \u2228 (1 \u2228 0)) \u2227 (X \u2227 Q))\n((\u00acQ) \u2228 (1 \u2228 0)) \u2227 ((X \u2227 Q) \u2228 (\u00acX))\n((\u00acQ) \u2228 (1 \u2228 0)) \u2227 (((\u00acX) \u2228 X) \u2227 ((\u00acX) \u2228 Q))\n((\u00acQ) \u2228 (1 \u2228 0)) \u2227 ((\u00acX) \u2228 (Q \u2227 X))\n((1 \u2228 0) \u2228 (\u00acQ)) \u2227 ((\u00acX) \u2228 (X \u2227 Q))\n(((\u00acQ) \u2228 1) \u2228 0) \u2227 ((\u00acX) \u2228 (X \u2227 Q))\n((\u00acQ) \u2228 1) \u2227 ((\u00acX) \u2228 (X \u2227 Q))\n((\u00acQ) \u2228 (0 \u2228 1)) \u2227 ((\u00acX) \u2228 (X \u2227 Q))\nChosen: ((\u00acQ) \u2228 1) \u2227 ((\u00acX) \u2228 (X \u2227 Q))\n\nOptions:\n((\u00acX) \u2228 (X \u2227 Q)) \u2227 ((\u00acQ) \u2228 1)\n(((\u00acQ) \u2228 1) \u2227 (\u00acX)) \u2228 (((\u00acQ) \u2228 1) \u2227 (X \u2227 Q))\n((\u00acQ) \u2228 1) \u2227 ((X \u2227 Q) \u2228 (\u00acX))\n((\u00acQ) \u2228 1) \u2227 (((\u00acX) \u2228 X) \u2227 ((\u00acX) \u2228 Q))\n((\u00acQ) \u2228 1) \u2227 ((\u00acX) \u2228 (Q \u2227 X))\n1 \u2227 ((\u00acX) \u2228 (X \u2227 Q))\n(1 \u2228 (\u00acQ)) \u2227 ((\u00acX) \u2228 (X \u2227 Q))\nChosen: 1 \u2227 ((\u00acX) \u2228 (X \u2227 Q))\n\nOptions:\n(\u00acX) \u2228 (X \u2227 Q)\n((\u00acX) \u2228 (X \u2227 Q)) \u2227 1\n(1 \u2227 (\u00acX)) \u2228 (1 \u2227 (X \u2227 Q))\n1 \u2227 ((X \u2227 Q) \u2228 (\u00acX))\n1 \u2227 (((\u00acX) \u2228 X) \u2227 ((\u00acX) \u2228 Q))\n1 \u2227 ((\u00acX) \u2228 (Q \u2227 X))\nChosen: ((\u00acX) \u2228 (X \u2227 Q)) \u2227 1\n\nOptions:\n(\u00acX) \u2228 (X \u2227 Q)\n((X \u2227 Q) \u2228 (\u00acX)) \u2227 1\n(((\u00acX) \u2228 X) \u2227 ((\u00acX) \u2228 Q)) \u2227 1\n((\u00acX) \u2228 (Q \u2227 X)) \u2227 1\nChosen: (\u00acX) \u2228 (X \u2227 Q)\n\nOptions:\n(X \u2227 Q) \u2228 (\u00acX)\n((\u00acX) \u2228 X) \u2227 ((\u00acX) \u2228 Q)\n(\u00acX) \u2228 (Q \u2227 X)\nChosen: (\u00acX) \u2228 (Q \u2227 X)", "id": 182}, {"char_len": 1739, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 15, 8, 75078, 320, 83193, 57, 595, 12264, 101, 320, 83193, 7, 57, 75078, 445, 4489, 3883, 512, 7, 83193, 7, 57, 75078, 445, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 57, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 57, 595, 12264, 101, 1819, 83193, 57, 8, 12264, 101, 320, 83193, 43, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 57, 595, 12264, 101, 320, 83193, 7, 43, 75078, 1901, 1192, 1209, 83193, 57, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 57, 75078, 445, 1192, 7, 16, 75078, 320, 83193, 57, 595, 12264, 101, 320, 83193, 7, 57, 75078, 445, 1192, 1163, 8477, 25, 320, 83193, 7, 57, 75078, 445, 595, 12264, 101, 1819, 83193, 15, 8, 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12264, 101, 320, 83193, 15, 595, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 1192, 1209, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 1819, 83193, 57, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 16, 75078, 320, 83193, 57, 1192, 1209, 83193, 43, 8, 12264, 101, 320, 83193, 57, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 57, 1192, 1163, 8477, 25, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 15, 595, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 4489, 3883, 512, 6774, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 595, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 15, 1192, 67944, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 57, 8, 12264, 101, 320, 83193, 43, 7861, 12264, 101, 52200, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 57, 1192, 6774, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 57, 8, 12264, 101, 1819, 83193, 57, 8, 12264, 101, 320, 83193, 43, 6054, 6774, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 57, 8, 12264, 101, 1819, 83193, 43, 8, 12264, 101, 320, 83193, 57, 6054, 6774, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 15, 595, 75078, 11861, 83193, 43, 8, 12264, 101, 320, 83193, 57, 595, 12264, 101, 320, 83193, 57, 1192, 1209, 83193, 15, 8, 12264, 101, 1819, 83193, 57, 8, 12264, 101, 320, 83193, 43, 7861, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 1192, 1209, 83193, 57, 8, 12264, 101, 1819, 83193, 43, 8, 12264, 101, 320, 83193, 15, 7861, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 1192, 6774, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 220, 16, 8, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 1192, 6774, 83193, 43, 8, 12264, 101, 320, 83193, 57, 595, 12264, 101, 320, 83193, 15, 595, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 1192, 1163, 8477, 25, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 220, 16, 8, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 4489, 3883, 512, 6774, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 595, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 220, 16, 340, 67944, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 57, 8, 12264, 101, 320, 83193, 43, 7861, 12264, 101, 52200, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 1192, 6774, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 57, 8, 12264, 101, 1819, 83193, 57, 8, 12264, 101, 320, 83193, 43, 6054, 6774, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 57, 8, 12264, 101, 1819, 83193, 43, 8, 12264, 101, 320, 83193, 57, 6054, 6774, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 220, 16, 8, 75078, 11861, 83193, 43, 8, 12264, 101, 320, 83193, 57, 595, 12264, 101, 320, 83193, 57, 1192, 16, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 1192, 7, 16, 12264, 101, 1819, 83193, 57, 8, 12264, 101, 320, 83193, 43, 7861, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 1192, 1209, 83193, 57, 8, 12264, 101, 1819, 83193, 43, 8, 12264, 101, 220, 16, 595, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 1192, 6774, 83193, 43, 8, 12264, 101, 320, 83193, 57, 595, 12264, 101, 220, 16, 8, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 1192, 1163, 8477, 25, 220, 16, 75078, 11861, 83193, 57, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 57, 595], "tokenizer": "cl100k_base", "tokens_len": 1113, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac0) \u2227 (\u00acZ)) \u2228 (\u00ac(Z \u2227 L))\n\nOptions:\n(\u00ac(Z \u2227 L)) \u2228 ((\u00ac0) \u2227 (\u00acZ))\n((\u00ac0) \u2227 (\u00acZ)) \u2228 ((\u00acZ) \u2228 (\u00acL))\n((\u00ac0) \u2227 (\u00acZ)) \u2228 (\u00ac(L \u2227 Z))\n((\u00acZ) \u2227 (\u00ac0)) \u2228 (\u00ac(Z \u2227 L))\n(1 \u2227 (\u00acZ)) \u2228 (\u00ac(Z \u2227 L))\nChosen: (\u00ac(Z \u2227 L)) \u2228 ((\u00ac0) \u2227 (\u00acZ))\n\nOptions:\n((\u00ac(Z \u2227 L)) \u2228 (\u00ac0)) \u2227 ((\u00ac(Z \u2227 L)) \u2228 (\u00acZ))\n(\u00ac(Z \u2227 L)) \u2228 ((\u00acZ) \u2227 (\u00ac0))\n(\u00ac(Z \u2227 L)) \u2228 (1 \u2227 (\u00acZ))\n((\u00acZ) \u2228 (\u00acL)) \u2228 ((\u00ac0) \u2227 (\u00acZ))\n(\u00ac(L \u2227 Z)) \u2228 ((\u00ac0) \u2227 (\u00acZ))\nChosen: ((\u00acZ) \u2228 (\u00acL)) \u2228 ((\u00ac0) \u2227 (\u00acZ))\n\nOptions:\n((\u00ac0) \u2227 (\u00acZ)) \u2228 ((\u00acZ) \u2228 (\u00acL))\n(\u00acZ) \u2228 ((\u00acL) \u2228 ((\u00ac0) \u2227 (\u00acZ)))\n(((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00ac0)) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))\n((\u00acZ) \u2228 (\u00acL)) \u2228 ((\u00acZ) \u2227 (\u00ac0))\n((\u00acZ) \u2228 (\u00acL)) \u2228 (1 \u2227 (\u00acZ))\n((\u00acL) \u2228 (\u00acZ)) \u2228 ((\u00ac0) \u2227 (\u00acZ))\nChosen: (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00ac0)) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))\n\nOptions:\n(((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ)) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00ac0))\n((((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00ac0)) \u2227 ((\u00acZ) \u2228 (\u00acL))) \u2228 ((((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00ac0)) \u2227 (\u00acZ))\n(((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00ac0)) \u2227 ((\u00acZ) \u2228 ((\u00acZ) \u2228 (\u00acL)))\n(((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00ac0)) \u2227 ((\u00acZ) \u2228 ((\u00acL) \u2228 (\u00acZ)))\n(((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00ac0)) \u2227 (((\u00acL) \u2228 (\u00acZ)) \u2228 (\u00acZ))\n((\u00ac0) \u2228 ((\u00acZ) \u2228 (\u00acL))) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))\n((\u00acZ) \u2228 ((\u00acL) \u2228 (\u00ac0))) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))\n(((\u00acZ) \u2228 (\u00acL)) \u2228 1) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))\n(((\u00acL) \u2228 (\u00acZ)) \u2228 (\u00ac0)) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))\nChosen: (((\u00acZ) \u2228 (\u00acL)) \u2228 1) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))\n\nOptions:\n(((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ)) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 1)\n((((\u00acZ) \u2228 (\u00acL)) \u2228 1) \u2227 ((\u00acZ) \u2228 (\u00acL))) \u2228 ((((\u00acZ) \u2228 (\u00acL)) \u2228 1) \u2227 (\u00acZ))\n(((\u00acZ) \u2228 (\u00acL)) \u2228 1) \u2227 ((\u00acZ) \u2228 ((\u00acZ) \u2228 (\u00acL)))\n(((\u00acZ) \u2228 (\u00acL)) \u2228 1) \u2227 ((\u00acZ) \u2228 ((\u00acL) \u2228 (\u00acZ)))\n(((\u00acZ) \u2228 (\u00acL)) \u2228 1) \u2227 (((\u00acL) \u2228 (\u00acZ)) \u2228 (\u00acZ))\n1 \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))\n(1 \u2228 ((\u00acZ) \u2228 (\u00acL))) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))\n((\u00acZ) \u2228 ((\u00acL) \u2228 1)) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))\n(((\u00acL) \u2228 (\u00acZ)) \u2228 1) \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))\nChosen: 1 \u2227 (((\u00acZ) \u2228 (\u00acL)) \u2228 (\u00acZ))", "id": 183}, {"char_len": 701, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 32, 75078, 362, 595, 75078, 320, 83193, 7, 32, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 32, 75078, 220, 16, 595, 75078, 320, 83193, 7, 32, 75078, 362, 1192, 7, 83193, 7, 32, 75078, 362, 595, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 32, 75078, 362, 595, 75078, 320, 83193, 32, 340, 7, 83193, 7, 32, 75078, 362, 595, 75078, 320, 83193, 7, 16, 75078, 362, 1192, 1209, 83193, 32, 8, 12264, 101, 320, 83193, 32, 595, 75078, 320, 83193, 7, 32, 75078, 220, 16, 1192, 7, 83193, 32, 8, 75078, 320, 83193, 7, 32, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 32, 8, 12264, 101, 320, 83193, 32, 595, 75078, 320, 83193, 7, 32, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 32, 75078, 220, 16, 595, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 83193, 32, 1192, 1209, 83193, 32, 8, 12264, 101, 320, 83193, 32, 595, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 32, 8, 12264, 101, 320, 83193, 32, 595, 75078, 320, 83193, 32, 340, 1209, 83193, 32, 8, 12264, 101, 320, 83193, 32, 595, 75078, 320, 83193, 7, 16, 75078, 362, 1192, 1163, 8477, 25, 1819, 83193, 32, 8, 12264, 101, 320, 83193, 32, 595, 75078, 320, 83193, 32, 696, 3883, 512, 7, 83193, 32, 8, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 83193, 32, 1192, 1163, 8477, 25, 320, 83193, 32, 8, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 83193, 32, 4489, 3883, 512, 1209, 83193, 32, 8, 75078, 320, 83193, 32, 595, 12264, 101, 1819, 83193, 32, 8, 75078, 320, 83193, 32, 1192, 1163, 8477, 25, 1819, 83193, 32, 8, 75078, 320, 83193, 32, 595, 12264, 101, 1819, 83193, 32, 8, 75078, 320, 83193, 32, 4489, 3883, 512, 6774, 83193, 32, 8, 75078, 320, 83193, 32, 595, 12264, 101, 320, 83193, 32, 595, 75078, 11861, 83193, 32, 8, 75078, 320, 83193, 32, 595, 12264, 101, 320, 83193, 32, 1192, 1163, 8477, 25, 11861, 83193, 32, 8, 75078, 320, 83193, 32, 595, 12264, 101, 320, 83193, 32, 595, 75078, 11861, 83193, 32, 8, 75078, 320, 83193, 32, 595, 12264, 101, 320, 83193, 32, 595], "tokenizer": "cl100k_base", "tokens_len": 391, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(A \u2227 A)) \u2227 (\u00ac(A \u2227 1))\n\nOptions:\n(\u00ac(A \u2227 1)) \u2227 (\u00ac(A \u2227 A))\n(\u00ac(A \u2227 A)) \u2227 ((\u00acA) \u2228 (\u00ac1))\n(\u00ac(A \u2227 A)) \u2227 (\u00acA)\n(\u00ac(A \u2227 A)) \u2227 (\u00ac(1 \u2227 A))\n((\u00acA) \u2228 (\u00acA)) \u2227 (\u00ac(A \u2227 1))\n(\u00acA) \u2227 (\u00ac(A \u2227 1))\nChosen: ((\u00acA) \u2228 (\u00acA)) \u2227 (\u00ac(A \u2227 1))\n\nOptions:\n(\u00ac(A \u2227 1)) \u2227 ((\u00acA) \u2228 (\u00acA))\n((\u00acA) \u2228 (\u00acA)) \u2227 ((\u00acA) \u2228 (\u00ac1))\n((\u00acA) \u2228 (\u00acA)) \u2227 (\u00acA)\n((\u00acA) \u2228 (\u00acA)) \u2227 (\u00ac(1 \u2227 A))\nChosen: ((\u00acA) \u2228 (\u00acA)) \u2227 (\u00acA)\n\nOptions:\n(\u00acA) \u2227 ((\u00acA) \u2228 (\u00acA))\nChosen: (\u00acA) \u2227 ((\u00acA) \u2228 (\u00acA))\n\nOptions:\n((\u00acA) \u2227 (\u00acA)) \u2228 ((\u00acA) \u2227 (\u00acA))\nChosen: ((\u00acA) \u2227 (\u00acA)) \u2228 ((\u00acA) \u2227 (\u00acA))\n\nOptions:\n(((\u00acA) \u2227 (\u00acA)) \u2228 (\u00acA)) \u2227 (((\u00acA) \u2227 (\u00acA)) \u2228 (\u00acA))\nChosen: (((\u00acA) \u2227 (\u00acA)) \u2228 (\u00acA)) \u2227 (((\u00acA) \u2227 (\u00acA)) \u2228 (\u00acA))", "id": 184}, {"char_len": 45, "tokens": [35, 25296, 279, 445, 10190, 271, 19, 674, 220, 23, 674, 220, 23, 674, 220, 605, 198, 791, 445, 10190, 25, 220, 1272], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n4 # 8 # 8 # 10\nThe LCM: 40", "id": 185}, {"char_len": 133, "tokens": [791, 445, 10190, 320, 82916, 7874, 29911, 8, 374, 279, 25655, 1396, 8649, 1855, 315, 279, 2768, 5219, 439, 3512, 42314, 13, 35813, 25, 220, 3971, 11, 220, 806, 198, 8724, 44, 25, 220, 20460], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 51, 11\nLCM: 561", "id": 186}, {"char_len": 24, "tokens": [3990, 279, 87179, 21, 220, 1591, 198, 75, 6358, 25, 220, 5833], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm6 28\nlcm: 84", "id": 187}, {"char_len": 83, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 605, 11, 220, 717, 11, 220, 18, 271, 16533, 25, 220, 1399], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n10, 12, 3\n\nAnswer: 60", "id": 188}, {"char_len": 31, "tokens": [10086, 279, 445, 10190, 25, 220, 23, 11, 220, 22, 11, 220, 806, 198, 8724, 44, 25, 220, 21379], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 8, 7, 11\nLCM: 616", "id": 189}, {"char_len": 40, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 1419, 674, 220, 845, 674, 220, 17, 198, 75, 6358, 25, 220, 19057], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 23 # 16 # 2\nlcm: 368", "id": 190}, {"char_len": 85, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 806, 220, 1419, 220, 2970, 271, 16533, 25, 220, 10465, 5728], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n11 23 58\n\nAnswer: 14674", "id": 191}, {"char_len": 67, "tokens": [35, 25296, 279, 87179, 25, 220, 605, 91, 2148, 91, 19, 91, 21, 91, 17, 91, 1419, 91, 1806, 198, 82916, 4279, 5361, 271, 11286, 17361, 15], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 10|31|4|6|2|23|37\nLeast common multiple\n\n1582860", "id": 192}, {"char_len": 32, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 1032, 220, 18, 198, 75, 6358, 25, 220, 2137], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 13 3\nlcm: 39", "id": 193}, {"char_len": 43, "tokens": [2397, 765, 220, 2970, 765, 220, 2491, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 10336, 20785], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "65 | 58 | 49\n These numbers' LCM is: 184730", "id": 194}, {"char_len": 40, "tokens": [35, 25296, 279, 445, 10190, 271, 2970, 3929, 220, 20, 198, 791, 445, 10190, 25, 220, 13754], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n58 --> 5\nThe LCM: 290", "id": 195}, {"char_len": 32, "tokens": [777, 11, 220, 1187, 11, 220, 24, 11, 220, 1544, 198, 50828, 445, 10190, 374, 25, 220, 14487, 19], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "19, 24, 9, 27\ntheir LCM is: 4104", "id": 196}, {"char_len": 33, "tokens": [2983, 11, 1927, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 12326], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "42,36\n These numbers' LCM is: 252", "id": 197}, {"char_len": 77, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 23, 11, 220, 17, 271, 16533, 25, 220, 23], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n8, 2\n\nAnswer: 8", "id": 198}, {"char_len": 26, "tokens": [3990, 279, 87179, 1114, 11, 868, 198, 75, 6358, 25, 220, 3192], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm17,15\nlcm: 255", "id": 199}, {"char_len": 80, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 1682, 3929, 220, 18, 1432, 8724, 44, 25, 4044], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n29 --> 3\n\n\nLCM:87", "id": 200}, {"char_len": 75, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 21, 405, 18, 1432, 8724, 44, 25, 21], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n6->3\n\n\nLCM:6", "id": 201}, {"char_len": 93, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 868, 11, 914, 11, 1691, 11, 843, 11, 21, 11, 22, 11, 966, 1432, 8724, 44, 25, 8953, 410], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n15,25,21,32,6,7,30\n\n\nLCM:16800", "id": 202}, {"char_len": 22, "tokens": [717, 11, 220, 19, 198, 50828, 445, 10190, 374, 25, 220, 717], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "12, 4\ntheir LCM is: 12", "id": 203}, {"char_len": 87, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 1806, 91, 18, 91, 1627, 91, 1544, 271, 16533, 25, 220, 15537, 5728], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n37|3|26|27\n\nAnswer: 25974", "id": 204}, {"char_len": 37, "tokens": [868, 3929, 220, 1627, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 15515], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "15 --> 26\n These numbers' LCM is: 390", "id": 205}, {"char_len": 36, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 21, 220, 220, 17, 220, 220, 1927, 198, 75, 6358, 25, 220, 1927], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 6  2  36\nlcm: 36", "id": 206}, {"char_len": 54, "tokens": [35, 25296, 279, 87179, 25, 220, 605, 11, 22, 11, 1114, 198, 82916, 4279, 5361, 271, 9079, 15], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 10,7,17\nLeast common multiple\n\n1190", "id": 207}, {"char_len": 53, "tokens": [35, 25296, 279, 87179, 25, 220, 21, 11, 1114, 11, 975, 198, 82916, 4279, 5361, 271, 23193], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 6,17,14\nLeast common multiple\n\n714", "id": 208}, {"char_len": 38, "tokens": [6849, 765, 220, 20, 765, 220, 5547, 765, 220, 2131, 198, 50828, 445, 10190, 374, 25, 220, 19746, 18485], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "104 | 5 | 61 | 55\ntheir LCM is: 348920", "id": 209}, {"char_len": 30, "tokens": [28336, 25, 220, 7028, 674, 220, 4218, 674, 220, 14022, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 190 # 86 # 253\nGCD: 1", "id": 210}, {"char_len": 86, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 1135, 220, 11515, 220, 1927, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n50 167 36\n\n\nGCD:1", "id": 211}, {"char_len": 23, "tokens": [806, 765, 220, 6365, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "11 | 93\ntheir GCD is: 1", "id": 212}, {"char_len": 41, "tokens": [35, 25296, 279, 480, 6620, 271, 17058, 405, 2031, 405, 5932, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n284->70->81\nThe GCD: 1", "id": 213}, {"char_len": 56, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 12338, 220, 972, 198, 38, 11423, 4279, 48012, 271, 17], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 232 18\nGreatest common denominator\n\n2", "id": 214}, {"char_len": 26, "tokens": [28336, 25, 220, 6083, 405, 3080, 405, 5495, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 92->67->63\nGCD: 1", "id": 215}, {"char_len": 30, "tokens": [10086, 279, 480, 6620, 25, 220, 11515, 1174, 220, 4364, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 167 , 120\nGCD: 1", "id": 216}, {"char_len": 163, "tokens": [791, 480, 6620, 320, 38, 11423, 7874, 9973, 31306, 8, 374, 279, 7928, 1396, 430, 374, 264, 50209, 315, 264, 1160, 315, 5219, 13, 1789, 3187, 11, 369, 279, 2768, 8668, 25, 220, 6365, 220, 8878, 220, 6086, 198, 791, 480, 6620, 374, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 45, "data_type": "factorization", "kind": "GCD", "txt": "The GCD (Greatest Common Denominator) is the largest number that is a divisor of a list of numbers. For example, for the following sequence: 93 135 82\nThe GCD is 1", "id": 217}, {"char_len": 74, "tokens": [28336, 25, 220, 717, 765, 220, 2096, 765, 220, 9079, 765, 220, 806, 765, 220, 4218, 765, 220, 806, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 12 | 44 | 119 | 11 | 86 | 11\nGreatest Common Denominator (GCD): 1", "id": 218}, {"char_len": 33, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 12245, 197, 6365, 198, 38, 6620, 25, 220, 18], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 231\t93\nGCD: 3", "id": 219}, {"char_len": 35, "tokens": [10086, 279, 480, 6620, 25, 220, 1987, 271, 1272, 271, 4103, 271, 777, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 38\n\n40\n\n52\n\n19\nGCD: 1", "id": 220}, {"char_len": 99, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 6086, 197, 2031, 197, 1419, 197, 19, 197, 9690, 197, 1691, 197, 1313, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n82\t70\t23\t4\t151\t21\t22\n\nAnswer: 1", "id": 221}, {"char_len": 41, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 14057, 674, 220, 5728, 674, 220, 10895, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 226 # 74 # 157\nGCD: 1", "id": 222}, {"char_len": 94, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 24307, 198, 5547, 198, 966, 198, 6365, 198, 2491, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n634\n61\n30\n93\n49\n\nAnswer: 1", "id": 223}, {"char_len": 161, "tokens": [791, 480, 6620, 320, 38, 11423, 7874, 9973, 31306, 8, 374, 279, 7928, 1396, 430, 374, 264, 50209, 315, 264, 1160, 315, 5219, 13, 1789, 3187, 11, 369, 279, 2768, 8668, 25, 220, 5932, 674, 220, 3391, 198, 791, 480, 6620, 374, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "factorization", "kind": "GCD", "txt": "The GCD (Greatest Common Denominator) is the largest number that is a divisor of a list of numbers. For example, for the following sequence: 81 # 43\nThe GCD is 1", "id": 224}, {"char_len": 49, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 11286, 220, 220, 1591, 220, 220, 12422, 220, 220, 19867, 220, 220, 12754, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 158  28  235  379  242\nGCD: 1", "id": 225}, {"char_len": 30, "tokens": [19, 91, 1419, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "GCD", "txt": "4|23\n These numbers' GCD is: 1", "id": 226}, {"char_len": 22, "tokens": [9795, 198, 1758, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "GCD", "txt": "136\n35\ntheir GCD is: 1", "id": 227}, {"char_len": 21, "tokens": [28336, 25, 220, 1227, 220, 2397, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 64 65\nGCD: 1", "id": 228}, {"char_len": 84, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 5728, 11, 220, 9565, 1432, 38, 6620, 25, 17], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n74, 134\n\n\nGCD:2", "id": 229}, {"char_len": 35, "tokens": [12171, 11, 220, 6330, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 845], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "208, 160\n These numbers' GCD is: 16", "id": 230}, {"char_len": 85, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 19, 262, 220, 14057, 1432, 38, 6620, 25, 17], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n4    226\n\n\nGCD:2", "id": 231}, {"char_len": 40, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 1399, 201, 11128, 201, 3391, 201, 21, 201, 24, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 60\r179\r43\r6\r9\nGCD: 1", "id": 232}, {"char_len": 32, "tokens": [20, 1174, 220, 1272, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 20], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "5 , 40\n These numbers' GCD is: 5", "id": 233}, {"char_len": 60, "tokens": [28336, 25, 220, 1627, 11, 220, 972, 11, 220, 972, 11, 220, 5538, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 26, 18, 18, 62\nGreatest Common Denominator (GCD): 2", "id": 234}]