[{"char_len": 138, "answer_start_char": 120, "answer_char_len": 7, "tokens": [14924, 271, 50, 37141, 1047, 220, 23, 75391, 372, 1941, 13, 3005, 3952, 389, 220, 10290, 24996, 15, 810, 13, 2650, 1690, 75391, 372, 1941, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 10290, 24996, 23, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nSullivan had 8 cucumbers. She took on 1430820 more. How many cucumbers does she have now?\nAnswer\n\nShe now has 1430828 cucumbers.", "id": 0}, {"char_len": 135, "answer_start_char": 118, "answer_char_len": 8, "tokens": [334, 14924, 96618, 23844, 1047, 220, 13341, 19416, 8330, 14380, 13, 1283, 2751, 220, 25862, 18415, 4331, 13, 2650, 1690, 8330, 14380, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 22440, 24599, 3971, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Knight had 241998 squashes. He got 86852553. How many squashes does he have now?\n**Answer**: He now has 87094551 of them.", "id": 1}, {"char_len": 112, "answer_start_char": 96, "answer_char_len": 6, "tokens": [14924, 271, 89552, 404, 1047, 220, 17521, 15999, 14155, 11966, 13, 1283, 2751, 220, 13384, 20, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 24876, 19631, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nTamir had 768266 pumpkins. He got 3125. How many does he have now?\nAnswer\n\nHe now has 771391 pumpkins.", "id": 2}, {"char_len": 97, "answer_start_char": 84, "answer_char_len": 2, "tokens": [14924, 25, 8683, 1047, 220, 16, 66032, 13, 1283, 2751, 220, 868, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 845, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 30, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Alex had 1 cucumber. He got 15. How many does he have now?\nAnswer: He has 16 cucumbers.", "id": 3}, {"char_len": 131, "answer_start_char": 113, "answer_char_len": 8, "tokens": [14924, 198, 26368, 64, 1047, 220, 9423, 2983, 14155, 11966, 13, 3005, 18661, 220, 21379, 24646, 5538, 810, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 220, 21379, 13762, 2371, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nPaula had 13342 pumpkins. She gained 61608562 more. How many pumpkins does she have now?\nAnswer\nShe has 61621904 pumpkins.", "id": 4}, {"char_len": 196, "answer_start_char": 183, "answer_char_len": 4, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 35, 1247, 10946, 1047, 220, 22801, 22, 63494, 13, 1283, 2751, 220, 4370, 810, 13, 2650, 1690, 63494, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 24239, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 51, "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\nDeklan had 6237 berries. He got 54 more. How many berries does he have now?\nYour response: He now has 6291 of them.", "id": 5}, {"char_len": 101, "answer_start_char": 89, "answer_char_len": 3, "tokens": [14924, 198, 26479, 61343, 1047, 220, 806, 41613, 13, 3005, 2751, 220, 20062, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 220, 19838, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 30, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nCamryn had 11 tomatoes. She got 387. How many does she have now?\nAnswer\nShe has 398 of them.", "id": 6}, {"char_len": 95, "answer_start_char": 81, "answer_char_len": 5, "tokens": [48, 25, 362, 2727, 268, 1047, 220, 16, 1716, 13, 1283, 18661, 220, 4278, 1419, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 220, 4278, 1187, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Ameen had 1 child. He gained 10223 more. How many does he have now?\nA: He has 10224 of them.", "id": 7}, {"char_len": 134, "answer_start_char": 121, "answer_char_len": 4, "tokens": [334, 14924, 96618, 18276, 1055, 1047, 220, 9892, 16, 11012, 13, 3005, 7319, 279, 3392, 555, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 9892, 17, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Hayven had 1631 plants. She increased the amount by 1. How many does she have now?\n**Answer**: She now has 1632 of them.", "id": 8}, {"char_len": 138, "answer_start_char": 126, "answer_char_len": 3, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 9027, 1126, 1047, 220, 20936, 514, 24483, 13, 1283, 3779, 220, 9565, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 20744, 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\nCalder had 522 lemons. He added 134. How many does he have now?\nAnswer: He now has 656 of them.", "id": 9}, {"char_len": 113, "answer_start_char": 101, "answer_char_len": 3, "tokens": [334, 14924, 96618, 42409, 1047, 220, 1691, 63494, 13, 1283, 33356, 291, 220, 1987, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 482, 1114, 63494, 13], "tokenizer": "cl100k_base", "tokens_len": 31, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Duncan had 21 berries. He subtracted 38. How many does he have now?\n**Answer**: He has -17 berries.", "id": 10}, {"char_len": 135, "answer_start_char": 118, "answer_char_len": 7, "tokens": [334, 14924, 96618, 59646, 1047, 220, 15574, 24456, 15, 2911, 13, 1283, 33356, 291, 220, 1644, 13, 2650, 1690, 2911, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 220, 15574, 23644, 22, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Shepherd had 2577560 children. He subtracted 33. How many children does he have now?\n**Answer**: He has 2577527 children.", "id": 11}, {"char_len": 120, "answer_start_char": 105, "answer_char_len": 3, "tokens": [334, 14924, 96618, 22195, 1047, 220, 16, 78182, 13, 3005, 23415, 3201, 220, 1041, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 706, 482, 1484, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Jane had 1 pineapple. She handed away 100. How many does she have now?\n**Answer**: She has -99 pineapples.", "id": 12}, {"char_len": 122, "answer_start_char": 109, "answer_char_len": 5, "tokens": [334, 14924, 96618, 4829, 404, 1047, 220, 10125, 2437, 41776, 13, 1283, 23415, 3201, 220, 17, 13, 2650, 1690, 41776, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 220, 10125, 410, 41776, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Demir had 13902 apples. He handed away 2. How many apples does he have now?\n**Answer**: He has 13900 apples.", "id": 13}, {"char_len": 142, "answer_start_char": 128, "answer_char_len": 5, "tokens": [14924, 25, 82747, 1047, 220, 15666, 2318, 52252, 1658, 12059, 13, 3005, 555, 3621, 1333, 5675, 220, 15602, 18, 13, 2650, 1690, 52252, 1658, 12059, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 14087, 2721, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Ellison had 26308 grapefruits. She by happenstance lost 2613. How many grapefruits does she have now?\nAnswer: She has 23695 of them.", "id": 14}, {"char_len": 110, "answer_start_char": 98, "answer_char_len": 3, "tokens": [14924, 25, 16870, 278, 485, 1047, 220, 9591, 8492, 1924, 13, 3005, 2163, 4920, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 8929, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Rosalind had 145 olives. She left behind 1. How many does she have now?\nAnswer: She has 144 of them.", "id": 15}, {"char_len": 145, "answer_start_char": 133, "answer_char_len": 3, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 53, 18599, 31204, 1047, 220, 18670, 75391, 372, 1941, 13, 1283, 2163, 4920, 220, 4513, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 22039, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nVladimir had 860 cucumbers. He left behind 123. How many does he have now?\nAnswer: He has 737 of them.", "id": 16}, {"char_len": 187, "answer_start_char": 175, "answer_char_len": 4, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 791, 55836, 1047, 220, 16723, 21, 41776, 13, 1283, 6688, 3201, 220, 21, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 16723, 15, 41776, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "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\nTheoden had 3246 apples. He gave away 6. How many does he have now?\nYour response: He now has 3240 apples.", "id": 17}, {"char_len": 114, "answer_start_char": 103, "answer_char_len": 2, "tokens": [14924, 271, 6219, 16618, 1494, 1047, 220, 2166, 4237, 82, 13, 3005, 23415, 3201, 220, 1987, 13, 2650, 1690, 4237, 82, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 605, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nAmiyah had 48 figs. She handed away 38. How many figs does she have now?\nAnswer\n\nShe now has 10 of them.", "id": 18}, {"char_len": 132, "answer_start_char": 118, "answer_char_len": 5, "tokens": [16533, 279, 2768, 1473, 54, 1466, 1047, 220, 717, 14155, 11966, 13, 1283, 5675, 220, 24865, 20, 13, 2650, 1690, 14155, 11966, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 482, 24289, 18, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nWren had 12 pumpkins. He lost 7335. How many pumpkins does he have now?\n\nResponse:\n\nHe now has -7323 of them.", "id": 19}, {"char_len": 157, "answer_start_char": 144, "answer_char_len": 5, "tokens": [12885, 53528, 15425, 41, 5676, 95780, 1047, 220, 10697, 22467, 10804, 2439, 13, 5112, 1364, 3952, 389, 220, 2031, 13, 5112, 1364, 2163, 4920, 220, 6330, 24758, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 24495, 5313, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nJaniyah had 224534 melons. Then she took on 70. Then she left behind 160719. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 63885 melons.", "id": 20}, {"char_len": 172, "answer_start_char": 155, "answer_char_len": 8, "tokens": [14924, 271, 57, 1631, 404, 1047, 220, 6849, 13895, 19057, 2911, 13, 5112, 568, 3952, 389, 220, 16, 810, 13, 1283, 2163, 4920, 220, 12378, 23545, 4578, 13, 1283, 3779, 220, 16371, 20, 13, 2650, 1690, 2911, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 23736, 18265, 2075, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 53, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nZymir had 104238368 children. Then he took on 1 more. He left behind 40905189. He added 4295. How many children does he have now?\nAnswer\n\nHe has 63337475 of them.", "id": 21}, {"char_len": 141, "answer_start_char": 125, "answer_char_len": 6, "tokens": [16533, 279, 2768, 1473, 41, 710, 12021, 1047, 220, 17690, 11227, 8330, 14380, 13, 1283, 6688, 3201, 220, 26114, 15, 13, 2650, 1690, 8330, 14380, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 15287, 20224, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nJaxsen had 298212 squashes. He gave away 9610. How many squashes does he have now?\n\nResponse:\n\nHe has 288602 squashes.", "id": 22}, {"char_len": 179, "answer_start_char": 167, "answer_char_len": 4, "tokens": [334, 14924, 96618, 11730, 3444, 1047, 220, 5932, 11012, 13, 5112, 1364, 3952, 389, 220, 7028, 25808, 19, 810, 13, 5112, 1364, 2163, 4920, 220, 7028, 24876, 18, 13, 3005, 3952, 389, 220, 9716, 23, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 3192, 15, 11012, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Solana had 81 plants. Then she took on 1907954 more. Then she left behind 1907713. She took on 2228. How many does she have now?\n**Answer**: She now has 2550 plants.", "id": 23}, {"char_len": 164, "answer_start_char": 147, "answer_char_len": 8, "tokens": [14924, 271, 36, 747, 354, 1047, 220, 18517, 4237, 82, 13, 5112, 568, 18661, 220, 16739, 810, 13, 5112, 568, 3779, 220, 11128, 17451, 5313, 810, 13, 1283, 2751, 220, 508, 810, 13, 2650, 1690, 4237, 82, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 11128, 17228, 5547, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 53, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nEliot had 424 figs. Then he gained 432 more. Then he added 17934485 more. He got 20 more. How many figs does he have now?\nAnswer\n\nHe has 17935361 of them.", "id": 24}, {"char_len": 188, "answer_start_char": 177, "answer_char_len": 2, "tokens": [334, 14924, 96618, 362, 352, 598, 71, 1047, 220, 9591, 9863, 315, 5684, 13, 5112, 568, 7319, 279, 3392, 555, 220, 22, 810, 13, 5112, 568, 2163, 4920, 220, 5932, 13, 2650, 1690, 9863, 315, 5684, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 6028, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 52, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Aayansh had 145 pieces of paper. Then he increased the amount by 7 more. Then he left behind 81. How many pieces of paper does he have now?\n**Answer**: He now has 71 of them.", "id": 25}, {"char_len": 176, "answer_start_char": 163, "answer_char_len": 4, "tokens": [16533, 279, 2768, 1473, 40, 15605, 1047, 220, 26051, 272, 533, 72, 13, 5112, 1364, 3779, 220, 12754, 15, 13, 3005, 6688, 3201, 220, 10967, 21, 13, 3005, 7319, 279, 3392, 555, 220, 18, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 9756, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 52, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nIsha had 863 cacti. Then she added 2420. She gave away 1766. She increased the amount by 3. How many does she have now?\n\nResponse:\n\nShe has 1520 of them.", "id": 26}, {"char_len": 105, "answer_start_char": 94, "answer_char_len": 2, "tokens": [14924, 198, 87575, 318, 88, 1047, 220, 1544, 85138, 13, 5112, 1364, 2751, 220, 17, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 1457, 706, 220, 1682, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nYeimy had 27 oranges. Then she got 2. How many does she have now?\nAnswer\nShe now has 29 of them.", "id": 27}, {"char_len": 198, "answer_start_char": 176, "answer_char_len": 10, "tokens": [12885, 53528, 15425, 73262, 982, 68, 1047, 220, 17313, 19288, 25513, 20, 34697, 680, 645, 13, 5112, 1364, 33356, 291, 220, 23428, 22094, 25962, 13, 5112, 1364, 6688, 3201, 220, 20899, 17168, 4044, 13, 2650, 1690, 34697, 680, 645, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 11057, 24347, 22039, 19, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 60, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nRhylee had 2934136745 pineapples. Then she subtracted 594459884. Then she gave away 80329487. How many pineapples does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 2259347374 pineapples.", "id": 28}, {"char_len": 140, "answer_start_char": 124, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 3617, 20141, 1047, 220, 12226, 52252, 1658, 12059, 13, 5112, 1364, 6688, 3201, 220, 2495, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 12338, 52252, 1658, 12059, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nPrincess had 310 grapefruits. Then she gave away 78. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 232 grapefruits.", "id": 29}, {"char_len": 148, "answer_start_char": 134, "answer_char_len": 5, "tokens": [16533, 279, 2768, 1473, 45, 1609, 58329, 1047, 220, 15189, 6069, 11012, 13, 5112, 568, 5675, 220, 11256, 4218, 13, 5112, 568, 5675, 220, 11483, 22, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 7322, 1490, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nNiklaus had 31583 plants. Then he lost 17886. Then he lost 2117. How many does he have now?\n\nResponse:\n\nHe has 11580 of them.", "id": 30}, {"char_len": 141, "answer_start_char": 130, "answer_char_len": 2, "tokens": [334, 14924, 96618, 735, 6015, 5676, 1047, 220, 777, 85138, 13, 3005, 7319, 279, 3392, 555, 220, 16, 810, 13, 2650, 1690, 85138, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 706, 220, 508, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Kaelani had 19 oranges. She increased the amount by 1 more. How many oranges does she have now?\n**Answer**: She has 20 oranges.", "id": 31}, {"char_len": 129, "answer_start_char": 115, "answer_char_len": 6, "tokens": [12885, 53528, 15425, 34955, 17696, 1047, 220, 15134, 22744, 10804, 2439, 13, 3005, 3952, 389, 220, 18, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 15134, 21982, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nCampbell had 311715 melons. She took on 3 more. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 311718 melons.", "id": 32}, {"char_len": 113, "answer_start_char": 103, "answer_char_len": 1, "tokens": [14924, 271, 791, 78, 1047, 220, 16, 78182, 13, 5112, 568, 18661, 220, 16, 13, 2650, 1690, 34697, 680, 645, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 17, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nTheo had 1 pineapple. Then he gained 1. How many pineapples does he have now?\nAnswer\n\nHe has 2 of them.", "id": 33}, {"char_len": 102, "answer_start_char": 90, "answer_char_len": 3, "tokens": [48, 25, 3842, 1047, 220, 16408, 52252, 1658, 12059, 13, 5112, 568, 3952, 389, 220, 4578, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 1457, 706, 220, 22054, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: John had 405 grapefruits. Then he took on 89. How many does he have now?\nA: He now has 494 of them.", "id": 34}, {"char_len": 209, "answer_start_char": 188, "answer_char_len": 4, "tokens": [14924, 198, 1305, 84, 1047, 220, 9367, 9863, 315, 5684, 13, 5112, 568, 3952, 389, 220, 12375, 21, 810, 13, 5112, 568, 7319, 279, 3392, 555, 220, 11247, 810, 13, 5112, 568, 3952, 389, 220, 23, 810, 13, 2650, 1690, 9863, 315, 5684, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 706, 220, 13754, 23, 9863, 315, 5684, 13], "tokenizer": "cl100k_base", "tokens_len": 59, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nTru had 188 pieces of paper. Then he took on 2546 more. Then he increased the amount by 166 more. Then he took on 8 more. How many pieces of paper does he have now?\nAnswer\nHe has 2908 pieces of paper.", "id": 35}, {"char_len": 97, "answer_start_char": 87, "answer_char_len": 1, "tokens": [14924, 25, 88168, 1047, 220, 16, 86188, 13, 3005, 3779, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 17, 63494, 13], "tokenizer": "cl100k_base", "tokens_len": 28, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Fallon had 1 berry. She added 1. How many does she have now?\nAnswer: She has 2 berries.", "id": 36}, {"char_len": 140, "answer_start_char": 18, "answer_char_len": 1, "tokens": [14924, 271, 49, 361, 1047, 220, 16, 19151, 21494, 13, 3005, 23415, 3201, 220, 16, 13, 5112, 1364, 3779, 220, 16, 810, 13, 2650, 1690, 19151, 64805, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nRue had 1 eggplant. She handed away 1. Then she added 1 more. How many eggplants does she have now?\nAnswer\n\nShe now has 1 of them.", "id": 37}, {"char_len": 191, "answer_start_char": 177, "answer_char_len": 4, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 23307, 276, 1047, 220, 12652, 18, 2911, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 22, 13, 5112, 1364, 33356, 291, 220, 7699, 21, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 4278, 19, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nJoan had 2093 children. Then she increased the amount by 7. Then she subtracted 1076. How many does she have now?\nAnswer: She now has 1024 children.", "id": 38}, {"char_len": 210, "answer_start_char": 196, "answer_char_len": 5, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 84259, 6015, 1047, 220, 25505, 2437, 63494, 13, 5112, 568, 2163, 4920, 220, 21856, 5313, 13, 5112, 568, 18661, 220, 8929, 810, 13, 1283, 23415, 3201, 220, 24394, 20, 13, 2650, 1690, 63494, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 9378, 2705, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 56, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nMisael had 85602 berries. Then he left behind 59885. Then he gained 144 more. He handed away 6955. How many berries does he have now?\nAnswer: He now has 18906 of them.", "id": 39}, {"char_len": 128, "answer_start_char": 113, "answer_char_len": 6, "tokens": [16533, 279, 2768, 1473, 77604, 942, 1047, 220, 23215, 11209, 11012, 13, 5112, 568, 3779, 220, 1032, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 23215, 17313, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nWatson had 547280 plants. Then he added 13. How many does he have now?\n\nResponse:\n\nHe has 547293 of them.", "id": 40}, {"char_len": 142, "answer_start_char": 131, "answer_char_len": 2, "tokens": [14924, 198, 19847, 4010, 277, 1047, 220, 1691, 11012, 13, 5112, 1364, 3952, 389, 220, 16, 810, 13, 3005, 3952, 389, 220, 868, 13, 5112, 1364, 2751, 220, 20, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 220, 2983, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 46, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nSkylar had 21 plants. Then she took on 1 more. She took on 15. Then she got 5. How many does she have now?\nAnswer\nShe has 42 of them.", "id": 41}, {"char_len": 134, "answer_start_char": 120, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 84583, 7304, 1047, 220, 18, 75391, 372, 1941, 13, 3005, 3779, 220, 25809, 13, 2650, 1690, 75391, 372, 1941, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 25560, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nAleena had 3 cucumbers. She added 739. How many cucumbers does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 742 cucumbers.", "id": 42}, {"char_len": 145, "answer_start_char": 133, "answer_char_len": 3, "tokens": [48, 25, 7671, 10126, 1047, 220, 16, 66032, 13, 5112, 1364, 33356, 291, 220, 15, 13, 3005, 18661, 220, 16443, 810, 13, 5112, 1364, 23415, 3201, 220, 1114, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 706, 220, 16660, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Aviva had 1 cucumber. Then she subtracted 0. She gained 292 more. Then she handed away 17. How many does she have now?\nA: She has 276 of them.", "id": 43}, {"char_len": 190, "answer_start_char": 168, "answer_char_len": 5, "tokens": [14924, 25, 44637, 5241, 1047, 220, 20, 9863, 315, 5684, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 20, 13, 3005, 3779, 220, 22869, 1419, 13, 3005, 3779, 220, 21, 810, 13, 2650, 1690, 9863, 315, 5684, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 22869, 1682, 9863, 315, 5684, 13], "tokenizer": "cl100k_base", "tokens_len": 53, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Maddox had 5 pieces of paper. Then she by happenstance lost 5. She added 85523. She added 6 more. How many pieces of paper does she have now?\nAnswer: She has 85529 pieces of paper.", "id": 44}, {"char_len": 33, "rule": "8*x+0", "tokens": [791, 6037, 25, 220, 23, 18988, 10, 15, 271, 15, 11, 220, 23, 11, 220, 845, 11, 220, 1187, 11, 220, 843], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: 8*x+0\n\n0, 8, 16, 24, 32", "id": 45}, {"char_len": 67, "rule": "4*4^x+0", "tokens": [791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 15, 271, 19, 201, 845, 201, 1227, 201, 4146, 201, 4278, 19, 201, 12378, 21, 201, 9892, 5833, 201, 15573, 1927, 201, 14274, 8929, 201, 6849, 20907, 21], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The rule: 4*4^x+0\n\n4\r16\r64\r256\r1024\r4096\r16384\r65536\r262144\r1048576", "id": 46}, {"char_len": 55, "rule": "48*(x+8)", "tokens": [791, 6037, 25, 220, 2166, 6737, 87, 10, 23, 696, 12910, 11, 16739, 11, 11738, 11, 21458, 11, 20758, 11, 23000, 11, 22768, 11, 13104, 11, 17521], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The rule: 48*(x+8)\n\n384,432,480,528,576,624,672,720,768", "id": 47}, {"char_len": 44, "rule": "19*(x+0)", "tokens": [791, 6037, 25, 220, 777, 6737, 87, 10, 15, 696, 15, 220, 777, 220, 1987, 220, 3226, 220, 4767, 220, 2721, 220, 8011, 220, 9423], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The rule: 19*(x+0)\n\n0 19 38 57 76 95 114 133", "id": 48}, {"char_len": 67, "rule": "x+87+32", "tokens": [791, 6037, 25, 865, 10, 4044, 10, 843, 271, 9079, 405, 4364, 405, 7994, 405, 8259, 405, 4513, 405, 8874, 405, 6549, 405, 9390, 405, 6804, 405, 4386], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "The rule: x+87+32\n\n119->120->121->122->123->124->125->126->127->128", "id": 49}, {"char_len": 42, "rule": "40*x+0", "tokens": [791, 6037, 25, 220, 1272, 18988, 10, 15, 271, 15, 271, 1272, 271, 1490, 271, 4364, 271, 6330, 271, 1049], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "arithmetic_sequence", "txt": "The rule: 40*x+0\n\n0\n\n40\n\n80\n\n120\n\n160\n\n200", "id": 50}, {"char_len": 40, "rule": "x+0+18", "tokens": [791, 6037, 25, 865, 10, 15, 10, 972, 271, 972, 11, 220, 777, 11, 220, 508, 11, 220, 1691, 11, 220, 1313, 11, 220, 1419], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The rule: x+0+18\n\n18, 19, 20, 21, 22, 23", "id": 51}, {"char_len": 61, "rule": "4*4^x+46", "tokens": [791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 2790, 271, 1135, 765, 220, 5538, 765, 220, 5120, 765, 220, 13121, 765, 220, 7699, 15, 765, 220, 17448, 17, 765, 220, 10513, 966], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "The rule: 4*4^x+46\n\n50 | 62 | 110 | 302 | 1070 | 4142 | 16430", "id": 52}, {"char_len": 76, "rule": "3*x+38", "tokens": [791, 6037, 25, 220, 18, 18988, 10, 1987, 271, 1987, 3929, 220, 3174, 3929, 220, 2096, 3929, 220, 2618, 3929, 220, 1135, 3929, 220, 4331, 3929, 220, 3487, 3929, 220, 2946, 3929, 220, 5538], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "The rule: 3*x+38\n\n38 --> 41 --> 44 --> 47 --> 50 --> 53 --> 56 --> 59 --> 62", "id": 53}, {"char_len": 96, "rule": "4^(x+4)+0", "tokens": [791, 6037, 25, 220, 19, 13571, 87, 10, 19, 7405, 15, 271, 4146, 11, 220, 4278, 19, 11, 220, 12378, 21, 11, 220, 9892, 5833, 11, 220, 15573, 1927, 11, 220, 14274, 8929, 11, 220, 6849, 20907, 21, 11, 220, 19391, 14245, 19, 11, 220, 11515, 23624, 845, 11, 220, 23403, 25620, 1227], "tokenizer": "cl100k_base", "tokens_len": 53, "data_type": "arithmetic_sequence", "txt": "The rule: 4^(x+4)+0\n\n256, 1024, 4096, 16384, 65536, 262144, 1048576, 4194304, 16777216, 67108864", "id": 54}, {"char_len": 77, "rule": "3^(x+2)+33", "tokens": [2983, 11, 220, 1399, 11, 220, 8011, 11, 220, 16660, 11, 220, 24376, 11, 220, 9716, 15, 11, 220, 25090, 19, 11, 220, 4468, 845, 11, 220, 20615, 6086, 11, 220, 11242, 5245, 791, 6037, 25, 220, 18, 13571, 87, 10, 17, 7405, 1644, 271], "tokenizer": "cl100k_base", "tokens_len": 45, "data_type": "arithmetic_sequence", "txt": "42, 60, 114, 276, 762, 2220, 6594, 19716, 59082, 177180The rule: 3^(x+2)+33\n\n", "id": 55}, {"char_len": 38, "rule": "4*2^x", "tokens": [19, 405, 23, 405, 845, 405, 843, 405, 1227, 405, 4386, 791, 6037, 25, 220, 19, 9, 17, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "arithmetic_sequence", "txt": "4->8->16->32->64->128The rule: 4*2^x\n\n", "id": 56}, {"char_len": 52, "rule": "3*2^x", "tokens": [18, 220, 220, 21, 220, 220, 717, 220, 220, 1187, 220, 220, 2166, 220, 220, 4161, 220, 220, 5926, 220, 220, 12910, 220, 220, 17521, 791, 6037, 25, 220, 18, 9, 17, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "3 6 12 24 48 96 192 384 768The rule: 3*2^x\n\n", "id": 57}, {"char_len": 78, "rule": "17*x+0", "tokens": [15, 3929, 220, 1114, 3929, 220, 1958, 3929, 220, 3971, 3929, 220, 2614, 3929, 220, 5313, 3929, 220, 4278, 3929, 220, 9079, 3929, 220, 9795, 791, 6037, 25, 220, 1114, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "0 --> 17 --> 34 --> 51 --> 68 --> 85 --> 102 --> 119 --> 136The rule: 17*x+0\n\n", "id": 58}, {"char_len": 47, "rule": "x+89*42", "tokens": [18017, 23, 271, 18017, 24, 271, 18265, 15, 271, 18265, 16, 271, 18265, 17, 791, 6037, 25, 865, 10, 4578, 9, 2983, 271], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "3738\n\n3739\n\n3740\n\n3741\n\n3742The rule: x+89*42\n\n", "id": 59}, {"char_len": 47, "rule": "3*2^x", "tokens": [18, 11, 220, 21, 11, 220, 717, 11, 220, 1187, 11, 220, 2166, 11, 220, 4161, 11, 220, 5926, 11, 220, 12910, 791, 6037, 25, 220, 18, 9, 17, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "3, 6, 12, 24, 48, 96, 192, 384The rule: 3*2^x\n\n", "id": 60}, {"char_len": 72, "rule": "x+0*7", "tokens": [15, 3929, 220, 16, 3929, 220, 17, 3929, 220, 18, 3929, 220, 19, 3929, 220, 20, 3929, 220, 21, 3929, 220, 22, 3929, 220, 23, 3929, 220, 24, 791, 6037, 25, 865, 10, 15, 9, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "0 --> 1 --> 2 --> 3 --> 4 --> 5 --> 6 --> 7 --> 8 --> 9The rule: x+0*7\n\n", "id": 61}, {"char_len": 59, "rule": "4^x+0", "tokens": [16, 91, 19, 91, 845, 91, 1227, 91, 4146, 91, 4278, 19, 91, 12378, 21, 91, 9892, 5833, 91, 15573, 1927, 91, 14274, 8929, 791, 6037, 25, 220, 19, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "1|4|16|64|256|1024|4096|16384|65536|262144The rule: 4^x+0\n\n", "id": 62}, {"char_len": 51, "rule": "x^4+0", "tokens": [15, 11, 220, 16, 11, 220, 845, 11, 220, 5932, 11, 220, 4146, 11, 220, 15894, 11, 220, 9748, 21, 11, 220, 8273, 16, 791, 6037, 25, 865, 61, 19, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 33, "data_type": "arithmetic_sequence", "txt": "0, 1, 16, 81, 256, 625, 1296, 2401The rule: x^4+0\n\n", "id": 63}, {"char_len": 62, "rule": "11*(x+9)", "tokens": [1484, 405, 5120, 405, 7994, 405, 9413, 405, 10290, 405, 10559, 405, 10680, 405, 10967, 405, 9674, 791, 6037, 25, 220, 806, 6737, 87, 10, 24, 696], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "99->110->121->132->143->154->165->176->187The rule: 11*(x+9)\n\n", "id": 64}, {"char_len": 126, "rule": "x+21+49", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 1691, 10, 2491, 271, 2031, 271, 6028, 271, 5332, 271, 5958, 271, 5728, 271, 2075], "tokenizer": "cl100k_base", "tokens_len": 36, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+21+49\n\n70\n\n71\n\n72\n\n73\n\n74\n\n75", "id": 65}, {"char_len": 155, "rule": "2^x+0", "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, 15, 271, 16, 765, 220, 17, 765, 220, 19, 765, 220, 23, 765, 220, 845, 765, 220, 843, 765, 220, 1227, 765, 220, 4386, 765, 220, 4146, 765, 220, 8358, 765, 220, 4278, 19], "tokenizer": "cl100k_base", "tokens_len": 58, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 2^x+0\n\n1 | 2 | 4 | 8 | 16 | 32 | 64 | 128 | 256 | 512 | 1024", "id": 66}, {"char_len": 178, "rule": "2^(x+3)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 17, 13571, 87, 10, 18, 7405, 15, 271, 23, 262, 220, 845, 262, 220, 843, 262, 220, 1227, 262, 220, 4386, 262, 220, 4146, 262, 220, 8358, 262, 220, 4278, 19, 262, 220, 7854, 23, 262, 220, 12378, 21, 262, 220, 18831, 17], "tokenizer": "cl100k_base", "tokens_len": 63, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 2^(x+3)+0\n\n8 16 32 64 128 256 512 1024 2048 4096 8192", "id": 67}, {"char_len": 137, "rule": "x+32*19", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 843, 9, 777, 271, 19944, 220, 220, 21138, 220, 220, 17608, 220, 220, 20973, 220, 220, 21018, 220, 220, 22922, 220, 220, 22638], "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: x+32*19\n\n608 609 610 611 612 613 614", "id": 68}, {"char_len": 209, "rule": "4^(x+2)+0", "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, 17, 7405, 15, 271, 845, 3929, 220, 1227, 3929, 220, 4146, 3929, 220, 4278, 19, 3929, 220, 12378, 21, 3929, 220, 9892, 5833, 3929, 220, 15573, 1927, 3929, 220, 14274, 8929, 3929, 220, 6849, 20907, 21, 3929, 220, 19391, 14245, 19, 3929, 220, 11515, 23624, 845], "tokenizer": "cl100k_base", "tokens_len": 70, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4^(x+2)+0\n\n16 --> 64 --> 256 --> 1024 --> 4096 --> 16384 --> 65536 --> 262144 --> 1048576 --> 4194304 --> 16777216", "id": 69}, {"char_len": 121, "rule": "3*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 9, 17, 61, 87, 271, 18, 11, 21, 11, 717, 11, 1187, 11, 2166, 11, 4161, 11, 5926], "tokenizer": "cl100k_base", "tokens_len": 39, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3*2^x\n\n3,6,12,24,48,96,192", "id": 70}, {"char_len": 147, "rule": "x+0+22", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 10, 1313, 271, 1313, 262, 220, 1419, 262, 220, 1187, 262, 220, 914, 262, 220, 1627, 262, 220, 1544, 262, 220, 1591, 262, 220, 1682], "tokenizer": "cl100k_base", "tokens_len": 47, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+0+22\n\n22 23 24 25 26 27 28 29", "id": 71}, {"char_len": 156, "rule": "x+78*32", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 2495, 9, 843, 271, 14735, 21, 11, 220, 14735, 22, 11, 220, 14735, 23, 11, 220, 14735, 24, 11, 220, 5154, 15, 11, 220, 5154, 16, 11, 220, 5154, 17, 11, 220, 5154, 18, 11, 220, 5154, 19], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+78*32\n\n2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504", "id": 72}, {"char_len": 176, "rule": "x^3+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 18, 10, 15, 271, 15, 262, 220, 16, 262, 220, 23, 262, 220, 1544, 262, 220, 1227, 262, 220, 6549, 262, 220, 12463, 262, 220, 16522, 262, 220, 8358, 262, 220, 22194, 262, 220, 1041, 15, 262, 220, 9423, 16], "tokenizer": "cl100k_base", "tokens_len": 61, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x^3+0\n\n0 1 8 27 64 125 216 343 512 729 1000 1331", "id": 73}, {"char_len": 131, "rule": "2^(x+4)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 17, 13571, 87, 10, 19, 7405, 15, 271, 845, 91, 843, 91, 1227, 91, 4386, 91, 4146, 91, 8358, 91, 4278, 19], "tokenizer": "cl100k_base", "tokens_len": 42, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 2^(x+4)+0\n\n16|32|64|128|256|512|1024", "id": 74}, {"char_len": 155, "rule": "x+58*17", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 27468, 765, 220, 22207, 765, 220, 24538, 765, 220, 25350, 765, 220, 19146, 765, 220, 24606, 765, 220, 22992, 765, 220, 24242, 765, 220, 22897, 791, 6037, 25, 865, 10, 2970, 9, 1114, 271], "tokenizer": "cl100k_base", "tokens_len": 50, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n986 | 987 | 988 | 989 | 990 | 991 | 992 | 993 | 994The rule: x+58*17\n\n", "id": 75}, {"char_len": 163, "rule": "4^x+27", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1591, 198, 2148, 198, 3391, 198, 5925, 198, 16085, 198, 6550, 16, 198, 17574, 18, 198, 10513, 806, 198, 15573, 5495, 198, 14274, 11123, 198, 6849, 18670, 18, 198, 19391, 20153, 16, 791, 6037, 25, 220, 19, 61, 87, 10, 1544, 271], "tokenizer": "cl100k_base", "tokens_len": 58, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n28\n31\n43\n91\n283\n1051\n4123\n16411\n65563\n262171\n1048603\n4194331The rule: 4^x+27\n\n", "id": 76}, {"char_len": 140, "rule": "x+0*41", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 765, 220, 16, 765, 220, 17, 765, 220, 18, 765, 220, 19, 765, 220, 20, 765, 220, 21, 765, 220, 22, 765, 220, 23, 765, 220, 24, 791, 6037, 25, 865, 10, 15, 9, 3174, 271], "tokenizer": "cl100k_base", "tokens_len": 53, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9The rule: x+0*41\n\n", "id": 77}, {"char_len": 143, "rule": "x+55*37", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 9639, 20, 674, 220, 9639, 21, 674, 220, 9639, 22, 674, 220, 9639, 23, 674, 220, 9639, 24, 674, 220, 7854, 15, 791, 6037, 25, 865, 10, 2131, 9, 1806, 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\n2035 # 2036 # 2037 # 2038 # 2039 # 2040The rule: x+55*37\n\n", "id": 78}, {"char_len": 142, "rule": "4^x+37", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1987, 11, 220, 3174, 11, 220, 4331, 11, 220, 4645, 11, 220, 17313, 11, 220, 7461, 16, 11, 220, 19288, 18, 11, 220, 10513, 1691, 791, 6037, 25, 220, 19, 61, 87, 10, 1806, 271], "tokenizer": "cl100k_base", "tokens_len": 51, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n38, 41, 53, 101, 293, 1061, 4133, 16421The rule: 4^x+37\n\n", "id": 79}, {"char_len": 124, "rule": "x^4+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 11, 220, 16, 11, 220, 845, 11, 220, 5932, 11, 220, 4146, 11, 220, 15894, 791, 6037, 25, 865, 61, 19, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0, 1, 16, 81, 256, 625The rule: x^4+0\n\n", "id": 80}, {"char_len": 119, "rule": "3*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 18, 91, 24, 91, 1544, 91, 5932, 91, 14052, 91, 22194, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n3|9|27|81|243|729The rule: 3*3^x\n\n", "id": 81}, {"char_len": 142, "rule": "2^x+77", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2495, 220, 4643, 220, 5932, 220, 5313, 220, 6365, 220, 7743, 220, 9335, 220, 10866, 220, 8765, 220, 22905, 220, 5120, 16, 791, 6037, 25, 220, 17, 61, 87, 10, 2813, 271], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n78 79 81 85 93 109 141 205 333 589 1101The rule: 2^x+77\n\n", "id": 82}, {"char_len": 124, "rule": "3*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 11, 18, 11, 21, 11, 24, 11, 717, 11, 868, 11, 972, 11, 1691, 11, 1187, 791, 6037, 25, 220, 18, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 42, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0,3,6,9,12,15,18,21,24The rule: 3*x+0\n\n", "id": 83}, {"char_len": 131, "rule": "2*4^x+20", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1313, 198, 1591, 198, 4103, 198, 10410, 198, 20711, 198, 11056, 23, 198, 23282, 17, 791, 6037, 25, 220, 17, 9, 19, 61, 87, 10, 508, 271], "tokenizer": "cl100k_base", "tokens_len": 43, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n22\n28\n52\n148\n532\n2068\n8212The rule: 2*4^x+20\n\n", "id": 84}, {"char_len": 124, "rule": "39*(x+3)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 8546, 91, 10132, 91, 6280, 91, 11727, 91, 15451, 91, 13384, 91, 18113, 91, 15515, 91, 16371, 91, 20304], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n117|156|195|234|273|312|351|390|429|468", "id": 85}, {"char_len": 105, "rule": "3*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 18, 271, 21, 271, 717, 271, 1187, 271, 2166, 271, 4161], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n3\n\n6\n\n12\n\n24\n\n48\n\n96", "id": 86}, {"char_len": 150, "rule": "x+0+41", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 3174, 3929, 220, 2983, 3929, 220, 3391, 3929, 220, 2096, 3929, 220, 1774, 3929, 220, 2790, 3929, 220, 2618, 3929, 220, 2166, 3929, 220, 2491, 3929, 220, 1135], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n41 --> 42 --> 43 --> 44 --> 45 --> 46 --> 47 --> 48 --> 49 --> 50", "id": 87}, {"char_len": 109, "rule": "2^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 220, 17, 220, 19, 220, 23, 220, 845, 220, 843, 220, 1227, 220, 4386, 220, 4146], "tokenizer": "cl100k_base", "tokens_len": 33, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1 2 4 8 16 32 64 128 256", "id": 88}, {"char_len": 115, "rule": "22*(x+2)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2096, 11, 220, 2287, 11, 220, 2421, 11, 220, 5120, 11, 220, 9413, 11, 220, 10559, 11, 220, 10967], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n44, 66, 88, 110, 132, 154, 176", "id": 89}, {"char_len": 116, "rule": "26*(x+6)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 10132, 198, 10828, 198, 12171, 198, 11727, 198, 11387, 198, 17361, 198, 13384, 198, 18633], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n156\n182\n208\n234\n260\n286\n312\n338", "id": 90}, {"char_len": 143, "rule": "x+83*22", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 10828, 21, 271, 10828, 22, 271, 10828, 23, 271, 10828, 24, 271, 10750, 15, 271, 10750, 16, 271, 10750, 17, 271, 10750, 18, 271, 10750, 19, 271, 10750, 20], "tokenizer": "cl100k_base", "tokens_len": 45, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1826\n\n1827\n\n1828\n\n1829\n\n1830\n\n1831\n\n1832\n\n1833\n\n1834\n\n1835", "id": 91}, {"char_len": 112, "rule": "2^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 11, 220, 17, 11, 220, 19, 11, 220, 23, 11, 220, 845, 11, 220, 843, 11, 220, 1227, 11, 220, 4386], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1, 2, 4, 8, 16, 32, 64, 128", "id": 92}, {"char_len": 105, "rule": "2^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 220, 17, 220, 19, 220, 23, 220, 845, 220, 843, 220, 1227, 220, 4386], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1 2 4 8 16 32 64 128", "id": 93}, {"char_len": 108, "rule": "x+65+27", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 6083, 220, 6365, 220, 6281, 220, 2721, 220, 4161, 220, 3534, 220, 3264, 220, 1484], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n92 93 94 95 96 97 98 99", "id": 94}, {"char_len": 295, "tokens": [17690, 22642, 489, 220, 975, 1432, 220, 931, 4119, 15, 198, 220, 220, 17690, 22642, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 931, 931, 15, 1432, 220, 931, 4119, 15, 198, 220, 220, 17690, 22642, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 931, 11030, 15, 1432, 220, 931, 4119, 15, 198, 220, 220, 17690, 22642, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 931, 23835, 15, 1432, 220, 931, 4119, 15, 198, 220, 220, 17690, 22642, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 931, 22455, 15, 1432, 220, 931, 4119, 15, 198, 220, 220, 17690, 22642, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 13858, 22455, 15, 1432, 220, 931, 4119, 15, 198, 220, 220, 17690, 22642, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 23273, 22455, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "298646 + 14\n\n\n 0000010\n 298646\n 000014\n+ ------\n 0000000\n\n\n 0000010\n 298646\n 000014\n+ ------\n 0000060\n\n\n 0000010\n 298646\n 000014\n+ ------\n 0000660\n\n\n 0000010\n 298646\n 000014\n+ ------\n 0008660\n\n\n 0000010\n 298646\n 000014\n+ ------\n 0098660\n\n\n 0000010\n 298646\n 000014\n+ ------\n 0298660\n\n", "id": 95}, {"char_len": 63, "tokens": [975, 489, 220, 605, 1432, 220, 931, 198, 220, 220, 975, 198, 220, 220, 605, 198, 10, 40614, 220, 8759, 1432, 220, 931, 198, 220, 220, 975, 198, 220, 220, 605, 198, 10, 40614, 220, 19592, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "14 + 10\n\n\n 000\n 14\n 10\n+ --\n 004\n\n\n 000\n 14\n 10\n+ --\n 024\n\n", "id": 96}, {"char_len": 296, "tokens": [19146, 11128, 489, 220, 20615, 1432, 220, 931, 931, 15, 198, 220, 220, 19146, 11128, 198, 220, 220, 931, 20615, 198, 10, 11556, 7233, 220, 931, 931, 24, 1432, 220, 931, 7755, 15, 198, 220, 220, 19146, 11128, 198, 220, 220, 931, 20615, 198, 10, 11556, 7233, 220, 931, 11030, 24, 1432, 220, 931, 7755, 15, 198, 220, 220, 19146, 11128, 198, 220, 220, 931, 20615, 198, 10, 11556, 7233, 220, 931, 26247, 24, 1432, 220, 931, 7755, 15, 198, 220, 220, 19146, 11128, 198, 220, 220, 931, 20615, 198, 10, 11556, 7233, 220, 931, 26247, 24, 1432, 220, 931, 7755, 15, 198, 220, 220, 19146, 11128, 198, 220, 220, 931, 20615, 198, 10, 11556, 7233, 220, 13858, 26247, 24, 1432, 220, 931, 7755, 15, 198, 220, 220, 19146, 11128, 198, 220, 220, 931, 20615, 198, 10, 11556, 7233, 220, 26513, 26247, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "990179 + 590\n\n\n 0000000\n 990179\n 000590\n+ ------\n 0000009\n\n\n 0000100\n 990179\n 000590\n+ ------\n 0000069\n\n\n 0000100\n 990179\n 000590\n+ ------\n 0000769\n\n\n 0000100\n 990179\n 000590\n+ ------\n 0000769\n\n\n 0000100\n 990179\n 000590\n+ ------\n 0090769\n\n\n 0000100\n 990179\n 000590\n+ ------\n 0990769\n\n", "id": 97}, {"char_len": 63, "tokens": [1691, 489, 220, 868, 1432, 220, 931, 198, 220, 220, 1691, 198, 220, 220, 868, 198, 10, 40614, 220, 11030, 1432, 220, 931, 198, 220, 220, 1691, 198, 220, 220, 868, 198, 10, 40614, 220, 23110, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "21 + 15\n\n\n 000\n 21\n 15\n+ --\n 006\n\n\n 000\n 21\n 15\n+ --\n 036\n\n", "id": 98}, {"char_len": 378, "tokens": [845, 489, 220, 10866, 23644, 22, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 4119, 21, 198, 220, 220, 10866, 23644, 22, 198, 10, 39707, 220, 931, 931, 2839, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 4119, 21, 198, 220, 220, 10866, 23644, 22, 198, 10, 39707, 220, 931, 931, 3391, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 4119, 21, 198, 220, 220, 10866, 23644, 22, 198, 10, 39707, 220, 931, 8504, 3391, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 4119, 21, 198, 220, 220, 10866, 23644, 22, 198, 10, 39707, 220, 931, 22679, 3391, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 4119, 21, 198, 220, 220, 10866, 23644, 22, 198, 10, 39707, 220, 931, 21228, 3391, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 4119, 21, 198, 220, 220, 10866, 23644, 22, 198, 10, 39707, 220, 931, 21228, 3391, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 4119, 21, 198, 220, 220, 10866, 23644, 22, 198, 10, 39707, 220, 11139, 21228, 3391, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "16 + 2057527\n\n\n 00000010\n 0000016\n 2057527\n+ -------\n 00000003\n\n\n 00000010\n 0000016\n 2057527\n+ -------\n 00000043\n\n\n 00000010\n 0000016\n 2057527\n+ -------\n 00000543\n\n\n 00000010\n 0000016\n 2057527\n+ -------\n 00007543\n\n\n 00000010\n 0000016\n 2057527\n+ -------\n 00057543\n\n\n 00000010\n 0000016\n 2057527\n+ -------\n 00057543\n\n\n 00000010\n 0000016\n 2057527\n+ -------\n 02057543\n\n", "id": 99}, {"char_len": 688, "tokens": [24763, 9588, 13384, 23, 489, 220, 4364, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 24763, 9588, 13384, 23, 198, 220, 220, 931, 931, 11531, 15, 198, 10, 31423, 220, 931, 931, 931, 2318, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 24763, 9588, 13384, 23, 198, 220, 220, 931, 931, 11531, 15, 198, 10, 31423, 220, 931, 931, 931, 2166, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 24763, 9588, 13384, 23, 198, 220, 220, 931, 931, 11531, 15, 198, 10, 31423, 220, 931, 931, 6726, 2166, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 24763, 9588, 13384, 23, 198, 220, 220, 931, 931, 11531, 15, 198, 10, 31423, 220, 931, 931, 21040, 2166, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 24763, 9588, 13384, 23, 198, 220, 220, 931, 931, 11531, 15, 198, 10, 31423, 220, 931, 931, 21040, 2166, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 24763, 9588, 13384, 23, 198, 220, 220, 931, 931, 11531, 15, 198, 10, 31423, 220, 931, 6726, 21040, 2166, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 24763, 9588, 13384, 23, 198, 220, 220, 931, 931, 11531, 15, 198, 10, 31423, 220, 931, 21040, 21040, 2166, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 24763, 9588, 13384, 23, 198, 220, 220, 931, 931, 11531, 15, 198, 10, 31423, 220, 931, 12338, 21040, 2166, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 24763, 9588, 13384, 23, 198, 220, 220, 931, 931, 11531, 15, 198, 10, 31423, 220, 13858, 12338, 21040, 2166, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 24763, 9588, 13384, 23, 198, 220, 220, 931, 931, 11531, 15, 198, 10, 31423, 220, 27407, 12338, 21040, 2166, 271], "tokenizer": "cl100k_base", "tokens_len": 288, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "7923203128 + 120\n\n\n 00000000000\n 7923203128\n 0000000120\n+ ----------\n 00000000008\n\n\n 00000000000\n 7923203128\n 0000000120\n+ ----------\n 00000000048\n\n\n 00000000000\n 7923203128\n 0000000120\n+ ----------\n 00000000248\n\n\n 00000000000\n 7923203128\n 0000000120\n+ ----------\n 00000003248\n\n\n 00000000000\n 7923203128\n 0000000120\n+ ----------\n 00000003248\n\n\n 00000000000\n 7923203128\n 0000000120\n+ ----------\n 00000203248\n\n\n 00000000000\n 7923203128\n 0000000120\n+ ----------\n 00003203248\n\n\n 00000000000\n 7923203128\n 0000000120\n+ ----------\n 00023203248\n\n\n 00000000000\n 7923203128\n 0000000120\n+ ----------\n 00923203248\n\n\n 00000000000\n 7923203128\n 0000000120\n+ ----------\n 07923203248\n\n", "id": 100}, {"char_len": 223, "tokens": [19838, 489, 220, 10465, 2148, 1432, 220, 931, 931, 198, 220, 220, 6268, 3264, 198, 220, 220, 10465, 2148, 198, 10, 81049, 220, 931, 13858, 1432, 220, 931, 1041, 198, 220, 220, 6268, 3264, 198, 220, 220, 10465, 2148, 198, 10, 81049, 220, 931, 23273, 1432, 220, 4119, 1041, 198, 220, 220, 6268, 3264, 198, 220, 220, 10465, 2148, 198, 10, 81049, 220, 931, 23273, 1432, 220, 4119, 1041, 198, 220, 220, 6268, 3264, 198, 220, 220, 10465, 2148, 198, 10, 81049, 220, 8504, 23273, 1432, 220, 4119, 1041, 198, 220, 220, 6268, 3264, 198, 220, 220, 10465, 2148, 198, 10, 81049, 220, 16037, 23273, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "398 + 14631\n\n\n 000000\n 00398\n 14631\n+ -----\n 000009\n\n\n 000100\n 00398\n 14631\n+ -----\n 000029\n\n\n 001100\n 00398\n 14631\n+ -----\n 000029\n\n\n 001100\n 00398\n 14631\n+ -----\n 005029\n\n\n 001100\n 00398\n 14631\n+ -----\n 015029\n\n", "id": 101}, {"char_len": 106, "tokens": [605, 489, 220, 6393, 1432, 220, 931, 15, 198, 220, 220, 7755, 198, 220, 220, 6393, 198, 10, 55023, 220, 931, 19, 1432, 220, 7755, 15, 198, 220, 220, 7755, 198, 220, 220, 6393, 198, 10, 55023, 220, 931, 19, 1432, 220, 7755, 15, 198, 220, 220, 7755, 198, 220, 220, 6393, 198, 10, 55023, 220, 11139, 19, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "10 + 194\n\n\n 0000\n 010\n 194\n+ ---\n 0004\n\n\n 0100\n 010\n 194\n+ ---\n 0004\n\n\n 0100\n 010\n 194\n+ ---\n 0204\n\n", "id": 102}, {"char_len": 106, "tokens": [21757, 489, 220, 3971, 1432, 220, 931, 15, 198, 220, 220, 21757, 198, 220, 220, 23545, 198, 10, 55023, 220, 931, 18, 1432, 220, 7755, 15, 198, 220, 220, 21757, 198, 220, 220, 23545, 198, 10, 55023, 220, 6726, 18, 1432, 220, 7755, 15, 198, 220, 220, 21757, 198, 220, 220, 23545, 198, 10, 55023, 220, 24130, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "472 + 51\n\n\n 0000\n 472\n 051\n+ ---\n 0003\n\n\n 0100\n 472\n 051\n+ ---\n 0023\n\n\n 0100\n 472\n 051\n+ ---\n 0523\n\n", "id": 103}, {"char_len": 107, "tokens": [10125, 489, 220, 10861, 1432, 220, 4119, 15, 198, 220, 220, 10125, 198, 220, 220, 10861, 198, 10, 55023, 220, 931, 16, 1432, 220, 10731, 15, 198, 220, 220, 10125, 198, 220, 220, 10861, 198, 10, 55023, 220, 4119, 16, 1432, 220, 10731, 15, 198, 220, 220, 10125, 198, 220, 220, 10861, 198, 10, 55023, 220, 18887, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "139 + 172\n\n\n 0010\n 139\n 172\n+ ---\n 0001\n\n\n 0110\n 139\n 172\n+ ---\n 0011\n\n\n 0110\n 139\n 172\n+ ---\n 0311\n\n", "id": 104}, {"char_len": 106, "tokens": [17592, 489, 220, 1682, 1432, 220, 4119, 15, 198, 220, 220, 17592, 198, 220, 220, 23273, 198, 10, 55023, 220, 931, 22, 1432, 220, 4119, 15, 198, 220, 220, 17592, 198, 220, 220, 23273, 198, 10, 55023, 220, 8759, 22, 1432, 220, 4119, 15, 198, 220, 220, 17592, 198, 220, 220, 23273, 198, 10, 55023, 220, 22379, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "318 + 29\n\n\n 0010\n 318\n 029\n+ ---\n 0007\n\n\n 0010\n 318\n 029\n+ ---\n 0047\n\n\n 0010\n 318\n 029\n+ ---\n 0347\n\n", "id": 105}, {"char_len": 160, "tokens": [11056, 22, 489, 220, 8011, 1432, 220, 931, 605, 198, 220, 220, 11056, 22, 198, 220, 220, 10731, 19, 198, 10, 11556, 198, 220, 931, 1721, 1432, 220, 931, 605, 198, 220, 220, 11056, 22, 198, 220, 220, 10731, 19, 198, 10, 11556, 198, 220, 931, 5932, 1432, 220, 931, 605, 198, 220, 220, 11056, 22, 198, 220, 220, 10731, 19, 198, 10, 11556, 198, 220, 4119, 5932, 1432, 220, 931, 605, 198, 220, 220, 11056, 22, 198, 220, 220, 10731, 19, 198, 10, 11556, 198, 220, 11592, 5932, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2067 + 114\n\n\n 00010\n 2067\n 0114\n+ ----\n 00001\n\n\n 00010\n 2067\n 0114\n+ ----\n 00081\n\n\n 00010\n 2067\n 0114\n+ ----\n 00181\n\n\n 00010\n 2067\n 0114\n+ ----\n 02181\n\n", "id": 106}, {"char_len": 106, "tokens": [845, 489, 220, 21123, 1432, 220, 931, 15, 198, 220, 220, 15794, 198, 220, 220, 21123, 198, 10, 55023, 220, 931, 24, 1432, 220, 931, 15, 198, 220, 220, 15794, 198, 220, 220, 21123, 198, 10, 55023, 220, 6268, 24, 1432, 220, 931, 15, 198, 220, 220, 15794, 198, 220, 220, 21123, 198, 10, 55023, 220, 25210, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "16 + 523\n\n\n 0000\n 016\n 523\n+ ---\n 0009\n\n\n 0000\n 016\n 523\n+ ---\n 0039\n\n\n 0000\n 016\n 523\n+ ---\n 0539\n\n", "id": 107}, {"char_len": 106, "tokens": [2148, 489, 220, 9674, 1432, 220, 931, 15, 198, 220, 220, 18887, 198, 220, 220, 9674, 198, 10, 55023, 220, 931, 23, 1432, 220, 7755, 15, 198, 220, 220, 18887, 198, 220, 220, 9674, 198, 10, 55023, 220, 4119, 23, 1432, 220, 7755, 15, 198, 220, 220, 18887, 198, 220, 220, 9674, 198, 10, 55023, 220, 11592, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "31 + 187\n\n\n 0000\n 031\n 187\n+ ---\n 0008\n\n\n 0100\n 031\n 187\n+ ---\n 0018\n\n\n 0100\n 031\n 187\n+ ---\n 0218\n\n", "id": 108}, {"char_len": 63, "tokens": [2075, 489, 220, 508, 1432, 220, 931, 198, 220, 220, 2075, 198, 220, 220, 508, 198, 10, 40614, 220, 8504, 1432, 220, 931, 198, 220, 220, 2075, 198, 220, 220, 508, 198, 10, 40614, 220, 26421, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "75 + 20\n\n\n 000\n 75\n 20\n+ --\n 005\n\n\n 000\n 75\n 20\n+ --\n 095\n\n", "id": 109}, {"char_len": 297, "tokens": [13897, 17, 489, 220, 10005, 16590, 1432, 220, 931, 931, 15, 198, 220, 220, 6268, 13135, 198, 220, 220, 10005, 16590, 198, 10, 11556, 7233, 220, 931, 931, 21, 1432, 220, 931, 931, 15, 198, 220, 220, 6268, 13135, 198, 220, 220, 10005, 16590, 198, 10, 11556, 7233, 220, 931, 11194, 21, 1432, 220, 931, 1041, 15, 198, 220, 220, 6268, 13135, 198, 220, 220, 10005, 16590, 198, 10, 11556, 7233, 220, 931, 11194, 21, 1432, 220, 931, 1041, 15, 198, 220, 220, 6268, 13135, 198, 220, 220, 10005, 16590, 198, 10, 11556, 7233, 220, 931, 23505, 21, 1432, 220, 931, 1041, 15, 198, 220, 220, 6268, 13135, 198, 220, 220, 10005, 16590, 198, 10, 11556, 7233, 220, 11194, 23505, 21, 1432, 220, 931, 1041, 15, 198, 220, 220, 6268, 13135, 198, 220, 220, 10005, 16590, 198, 10, 11556, 7233, 220, 17248, 23505, 21, 271], "tokenizer": "cl100k_base", "tokens_len": 145, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3802 + 175274\n\n\n 0000000\n 003802\n 175274\n+ ------\n 0000006\n\n\n 0000000\n 003802\n 175274\n+ ------\n 0000076\n\n\n 0001000\n 003802\n 175274\n+ ------\n 0000076\n\n\n 0001000\n 003802\n 175274\n+ ------\n 0009076\n\n\n 0001000\n 003802\n 175274\n+ ------\n 0079076\n\n\n 0001000\n 003802\n 175274\n+ ------\n 0179076\n\n", "id": 110}, {"char_len": 106, "tokens": [7529, 489, 220, 717, 1432, 220, 931, 15, 198, 220, 220, 7529, 198, 220, 220, 11531, 198, 10, 55023, 220, 931, 18, 1432, 220, 7755, 15, 198, 220, 220, 7529, 198, 220, 220, 11531, 198, 10, 55023, 220, 931, 18, 1432, 220, 7755, 15, 198, 220, 220, 7529, 198, 220, 220, 11531, 198, 10, 55023, 220, 11139, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "191 + 12\n\n\n 0000\n 191\n 012\n+ ---\n 0003\n\n\n 0100\n 191\n 012\n+ ---\n 0003\n\n\n 0100\n 191\n 012\n+ ---\n 0203\n\n", "id": 111}, {"char_len": 223, "tokens": [19799, 2287, 489, 220, 1049, 1432, 220, 931, 931, 198, 220, 220, 19799, 2287, 198, 220, 220, 6726, 410, 198, 10, 81049, 220, 931, 11030, 1432, 220, 931, 931, 198, 220, 220, 19799, 2287, 198, 220, 220, 6726, 410, 198, 10, 81049, 220, 931, 23835, 1432, 220, 931, 931, 198, 220, 220, 19799, 2287, 198, 220, 220, 6726, 410, 198, 10, 81049, 220, 931, 25358, 1432, 220, 931, 931, 198, 220, 220, 19799, 2287, 198, 220, 220, 6726, 410, 198, 10, 81049, 220, 11194, 25358, 1432, 220, 931, 931, 198, 220, 220, 19799, 2287, 198, 220, 220, 6726, 410, 198, 10, 81049, 220, 24970, 25358, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "47566 + 200\n\n\n 000000\n 47566\n 00200\n+ -----\n 000006\n\n\n 000000\n 47566\n 00200\n+ -----\n 000066\n\n\n 000000\n 47566\n 00200\n+ -----\n 000766\n\n\n 000000\n 47566\n 00200\n+ -----\n 007766\n\n\n 000000\n 47566\n 00200\n+ -----\n 047766\n\n", "id": 112}, {"char_len": 223, "tokens": [15451, 1032, 489, 220, 13860, 1432, 220, 931, 931, 198, 220, 220, 15451, 1032, 198, 220, 220, 6726, 3971, 198, 10, 81049, 220, 931, 8759, 1432, 220, 931, 931, 198, 220, 220, 15451, 1032, 198, 220, 220, 6726, 3971, 198, 10, 81049, 220, 931, 20478, 1432, 220, 931, 931, 198, 220, 220, 15451, 1032, 198, 220, 220, 6726, 3971, 198, 10, 81049, 220, 931, 22210, 1432, 220, 931, 931, 198, 220, 220, 15451, 1032, 198, 220, 220, 6726, 3971, 198, 10, 81049, 220, 11194, 22210, 1432, 220, 931, 931, 198, 220, 220, 15451, 1032, 198, 220, 220, 6726, 3971, 198, 10, 81049, 220, 21360, 22210, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "27313 + 251\n\n\n 000000\n 27313\n 00251\n+ -----\n 000004\n\n\n 000000\n 27313\n 00251\n+ -----\n 000064\n\n\n 000000\n 27313\n 00251\n+ -----\n 000564\n\n\n 000000\n 27313\n 00251\n+ -----\n 007564\n\n\n 000000\n 27313\n 00251\n+ -----\n 027564\n\n", "id": 113}, {"char_len": 379, "tokens": [25498, 22424, 23, 489, 220, 18017, 1432, 220, 931, 931, 605, 198, 220, 220, 25498, 22424, 23, 198, 220, 220, 931, 23587, 18, 198, 10, 39707, 220, 931, 931, 1721, 1432, 220, 931, 4119, 605, 198, 220, 220, 25498, 22424, 23, 198, 220, 220, 931, 23587, 18, 198, 10, 39707, 220, 931, 931, 6028, 1432, 220, 931, 4119, 605, 198, 220, 220, 25498, 22424, 23, 198, 220, 220, 931, 23587, 18, 198, 10, 39707, 220, 931, 13858, 6028, 1432, 220, 931, 4119, 605, 198, 220, 220, 25498, 22424, 23, 198, 220, 220, 931, 23587, 18, 198, 10, 39707, 220, 931, 27033, 6028, 1432, 220, 931, 4119, 605, 198, 220, 220, 25498, 22424, 23, 198, 220, 220, 931, 23587, 18, 198, 10, 39707, 220, 931, 22094, 6028, 1432, 220, 931, 4119, 605, 198, 220, 220, 25498, 22424, 23, 198, 220, 220, 931, 23587, 18, 198, 10, 39707, 220, 4119, 22094, 6028, 1432, 220, 931, 4119, 605, 198, 220, 220, 25498, 22424, 23, 198, 220, 220, 931, 23587, 18, 198, 10, 39707, 220, 22534, 22094, 6028, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "8145598 + 373\n\n\n 00000010\n 8145598\n 0000373\n+ -------\n 00000001\n\n\n 00000110\n 8145598\n 0000373\n+ -------\n 00000071\n\n\n 00000110\n 8145598\n 0000373\n+ -------\n 00000971\n\n\n 00000110\n 8145598\n 0000373\n+ -------\n 00005971\n\n\n 00000110\n 8145598\n 0000373\n+ -------\n 00045971\n\n\n 00000110\n 8145598\n 0000373\n+ -------\n 00145971\n\n\n 00000110\n 8145598\n 0000373\n+ -------\n 08145971\n\n", "id": 114}, {"char_len": 159, "tokens": [1135, 489, 220, 16718, 19, 1432, 220, 931, 410, 198, 220, 220, 8504, 15, 198, 220, 220, 16718, 19, 198, 10, 11556, 198, 220, 931, 2371, 1432, 220, 4119, 410, 198, 220, 220, 8504, 15, 198, 220, 220, 16718, 19, 198, 10, 11556, 198, 220, 931, 1187, 1432, 220, 4119, 410, 198, 220, 220, 8504, 15, 198, 220, 220, 16718, 19, 198, 10, 11556, 198, 220, 6726, 1187, 1432, 220, 4119, 410, 198, 220, 220, 8504, 15, 198, 220, 220, 16718, 19, 198, 10, 11556, 198, 220, 21040, 1187, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "50 + 3174\n\n\n 00000\n 0050\n 3174\n+ ----\n 00004\n\n\n 00100\n 0050\n 3174\n+ ----\n 00024\n\n\n 00100\n 0050\n 3174\n+ ----\n 00224\n\n\n 00100\n 0050\n 3174\n+ ----\n 03224\n\n", "id": 115}, {"char_len": 106, "tokens": [6549, 489, 220, 4331, 1432, 220, 931, 15, 198, 220, 220, 6549, 198, 220, 220, 25210, 198, 10, 55023, 220, 931, 23, 1432, 220, 931, 15, 198, 220, 220, 6549, 198, 220, 220, 25210, 198, 10, 55023, 220, 11194, 23, 1432, 220, 931, 15, 198, 220, 220, 6549, 198, 220, 220, 25210, 198, 10, 55023, 220, 17248, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "125 + 53\n\n\n 0000\n 125\n 053\n+ ---\n 0008\n\n\n 0000\n 125\n 053\n+ ---\n 0078\n\n\n 0000\n 125\n 053\n+ ---\n 0178\n\n", "id": 116}, {"char_len": 474, "tokens": [25399, 21006, 5958, 489, 220, 5120, 972, 1432, 220, 931, 931, 7755, 198, 220, 220, 25399, 21006, 5958, 198, 220, 220, 931, 5120, 972, 198, 10, 90238, 220, 931, 931, 4119, 1432, 220, 931, 931, 7755, 198, 220, 220, 25399, 21006, 5958, 198, 220, 220, 931, 5120, 972, 198, 10, 90238, 220, 931, 931, 24443, 1432, 220, 931, 931, 7755, 198, 220, 220, 25399, 21006, 5958, 198, 220, 220, 931, 5120, 972, 198, 10, 90238, 220, 931, 931, 19631, 1432, 220, 931, 931, 7755, 198, 220, 220, 25399, 21006, 5958, 198, 220, 220, 931, 5120, 972, 198, 10, 90238, 220, 931, 4119, 19631, 1432, 220, 931, 931, 7755, 198, 220, 220, 25399, 21006, 5958, 198, 220, 220, 931, 5120, 972, 198, 10, 90238, 220, 931, 24508, 19631, 1432, 220, 931, 931, 7755, 198, 220, 220, 25399, 21006, 5958, 198, 220, 220, 931, 5120, 972, 198, 10, 90238, 220, 931, 23403, 19631, 1432, 220, 931, 931, 7755, 198, 220, 220, 25399, 21006, 5958, 198, 220, 220, 931, 5120, 972, 198, 10, 90238, 220, 11436, 23403, 19631, 1432, 220, 931, 931, 7755, 198, 220, 220, 25399, 21006, 5958, 198, 220, 220, 931, 5120, 972, 198, 10, 90238, 220, 25620, 23403, 19631, 271], "tokenizer": "cl100k_base", "tokens_len": 200, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "88660373 + 11018\n\n\n 000000010\n 88660373\n 00011018\n+ --------\n 000000001\n\n\n 000000010\n 88660373\n 00011018\n+ --------\n 000000091\n\n\n 000000010\n 88660373\n 00011018\n+ --------\n 000000391\n\n\n 000000010\n 88660373\n 00011018\n+ --------\n 000001391\n\n\n 000000010\n 88660373\n 00011018\n+ --------\n 000071391\n\n\n 000000010\n 88660373\n 00011018\n+ --------\n 000671391\n\n\n 000000010\n 88660373\n 00011018\n+ --------\n 008671391\n\n\n 000000010\n 88660373\n 00011018\n+ --------\n 088671391\n\n", "id": 117}, {"char_len": 63, "tokens": [5958, 489, 220, 4370, 1432, 220, 931, 198, 220, 220, 5958, 198, 220, 220, 4370, 198, 10, 40614, 220, 11194, 1432, 220, 1041, 198, 220, 220, 5958, 198, 220, 220, 4370, 198, 10, 40614, 220, 21360, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "73 + 54\n\n\n 000\n 73\n 54\n+ --\n 007\n\n\n 100\n 73\n 54\n+ --\n 027\n\n", "id": 118}, {"char_len": 222, "tokens": [17058, 1032, 489, 220, 5538, 1432, 220, 931, 931, 198, 220, 220, 17058, 1032, 198, 220, 220, 931, 5538, 198, 10, 81049, 220, 931, 8504, 1432, 220, 931, 931, 198, 220, 220, 17058, 1032, 198, 220, 220, 931, 5538, 198, 10, 81049, 220, 931, 22679, 1432, 220, 931, 931, 198, 220, 220, 17058, 1032, 198, 220, 220, 931, 5538, 198, 10, 81049, 220, 931, 19799, 1432, 220, 931, 931, 198, 220, 220, 17058, 1032, 198, 220, 220, 931, 5538, 198, 10, 81049, 220, 11436, 19799, 1432, 220, 931, 931, 198, 220, 220, 17058, 1032, 198, 220, 220, 931, 5538, 198, 10, 81049, 220, 22000, 19799, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "28413 + 62\n\n\n 000000\n 28413\n 00062\n+ -----\n 000005\n\n\n 000000\n 28413\n 00062\n+ -----\n 000075\n\n\n 000000\n 28413\n 00062\n+ -----\n 000475\n\n\n 000000\n 28413\n 00062\n+ -----\n 008475\n\n\n 000000\n 28413\n 00062\n+ -----\n 028475\n\n", "id": 119}, {"char_len": 191, "tokens": [20617, 23, 482, 220, 2495, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 20617, 23, 198, 220, 220, 11194, 23, 198, 12, 11556, 198, 220, 220, 931, 15, 271, 931, 15, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 20617, 23, 198, 220, 220, 11194, 23, 198, 12, 11556, 198, 220, 220, 8759, 15, 271, 8759, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20617, 23, 198, 220, 220, 11194, 23, 198, 12, 11556, 198, 220, 220, 20478, 15, 271, 20478, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20617, 23, 198, 220, 220, 11194, 23, 198, 12, 11556, 198, 220, 220, 21033, 15, 271, 21033, 15, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "4718 - 78\n\n\nBorrow: 0\n 4718\n 0078\n- ----\n 0000\n\n0000\n\nBorrow: 1\n 4718\n 0078\n- ----\n 0040\n\n0040\n\nBorrow: 0\n 4718\n 0078\n- ----\n 0640\n\n0640\n\nBorrow: 0\n 4718\n 0078\n- ----\n 4640\n\n4640\n", "id": 120}, {"char_len": 263, "tokens": [7261, 2397, 482, 220, 9079, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 7261, 2397, 198, 220, 220, 4119, 777, 198, 12, 81049, 220, 220, 931, 2705, 271, 931, 2705, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7261, 2397, 198, 220, 220, 4119, 777, 198, 12, 81049, 220, 220, 931, 2790, 271, 931, 2790, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7261, 2397, 198, 220, 220, 4119, 777, 198, 12, 81049, 220, 220, 4119, 2790, 271, 4119, 2790, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7261, 2397, 198, 220, 220, 4119, 777, 198, 12, 81049, 220, 220, 10731, 2790, 271, 10731, 2790, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7261, 2397, 198, 220, 220, 4119, 777, 198, 12, 81049, 220, 220, 5037, 2790, 271, 5037, 2790, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "11265 - 119\n\n\nBorrow: 1\n 11265\n 00119\n- -----\n 00006\n\n00006\n\nBorrow: 0\n 11265\n 00119\n- -----\n 00046\n\n00046\n\nBorrow: 0\n 11265\n 00119\n- -----\n 00146\n\n00146\n\nBorrow: 0\n 11265\n 00119\n- -----\n 01146\n\n01146\n\nBorrow: 0\n 11265\n 00119\n- -----\n 11146\n\n11146\n", "id": 121}, {"char_len": 263, "tokens": [8190, 3264, 482, 220, 19272, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 8190, 3264, 198, 220, 220, 11436, 1490, 198, 12, 81049, 220, 220, 931, 2318, 271, 931, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8190, 3264, 198, 220, 220, 11436, 1490, 198, 12, 81049, 220, 220, 931, 972, 271, 931, 972, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 8190, 3264, 198, 220, 220, 11436, 1490, 198, 12, 81049, 220, 220, 8504, 972, 271, 8504, 972, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8190, 3264, 198, 220, 220, 11436, 1490, 198, 12, 81049, 220, 220, 8504, 972, 271, 8504, 972, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8190, 3264, 198, 220, 220, 11436, 1490, 198, 12, 81049, 220, 220, 6550, 972, 271, 6550, 972, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "11398 - 880\n\n\nBorrow: 0\n 11398\n 00880\n- -----\n 00008\n\n00008\n\nBorrow: 0\n 11398\n 00880\n- -----\n 00018\n\n00018\n\nBorrow: 1\n 11398\n 00880\n- -----\n 00518\n\n00518\n\nBorrow: 0\n 11398\n 00880\n- -----\n 00518\n\n00518\n\nBorrow: 0\n 11398\n 00880\n- -----\n 10518\n\n10518\n", "id": 122}, {"char_len": 130, "tokens": [15726, 482, 220, 914, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 15726, 198, 220, 220, 18070, 198, 12, 55023, 220, 220, 11436, 271, 11436, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 15726, 198, 220, 220, 18070, 198, 12, 55023, 220, 220, 26983, 271, 26983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15726, 198, 220, 220, 18070, 198, 12, 55023, 220, 220, 17690, 271, 17690, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "323 - 25\n\n\nBorrow: 1\n 323\n 025\n- ---\n 008\n\n008\n\nBorrow: 1\n 323\n 025\n- ---\n 098\n\n098\n\nBorrow: 0\n 323\n 025\n- ---\n 298\n\n298\n", "id": 123}, {"char_len": 650, "tokens": [9716, 3965, 21944, 482, 220, 22922, 23505, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 9716, 3965, 21944, 198, 220, 220, 931, 22922, 23505, 198, 12, 220, 29547, 220, 220, 931, 931, 6726, 271, 931, 931, 6726, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9716, 3965, 21944, 198, 220, 220, 931, 22922, 23505, 198, 12, 220, 29547, 220, 220, 931, 931, 25221, 271, 931, 931, 25221, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 9716, 3965, 21944, 198, 220, 220, 931, 22922, 23505, 198, 12, 220, 29547, 220, 220, 931, 931, 25073, 271, 931, 931, 25073, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 9716, 3965, 21944, 198, 220, 220, 931, 22922, 23505, 198, 12, 220, 29547, 220, 220, 931, 11030, 25073, 271, 931, 11030, 25073, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9716, 3965, 21944, 198, 220, 220, 931, 22922, 23505, 198, 12, 220, 29547, 220, 220, 931, 23110, 25073, 271, 931, 23110, 25073, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 9716, 3965, 21944, 198, 220, 220, 931, 22922, 23505, 198, 12, 220, 29547, 220, 220, 931, 21600, 25073, 271, 931, 21600, 25073, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9716, 3965, 21944, 198, 220, 220, 931, 22922, 23505, 198, 12, 220, 29547, 220, 220, 4119, 21600, 25073, 271, 4119, 21600, 25073, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9716, 3965, 21944, 198, 220, 220, 931, 22922, 23505, 198, 12, 220, 29547, 220, 220, 11592, 21600, 25073, 271, 11592, 21600, 25073, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9716, 3965, 21944, 198, 220, 220, 931, 22922, 23505, 198, 12, 220, 29547, 220, 220, 12425, 21600, 25073, 271, 12425, 21600, 25073, 198], "tokenizer": "cl100k_base", "tokens_len": 287, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "222150599 - 613907\n\n\nBorrow: 0\n 222150599\n 000613907\n- ---------\n 000000002\n\n000000002\n\nBorrow: 0\n 222150599\n 000613907\n- ---------\n 000000092\n\n000000092\n\nBorrow: 1\n 222150599\n 000613907\n- ---------\n 000000692\n\n000000692\n\nBorrow: 1\n 222150599\n 000613907\n- ---------\n 000006692\n\n000006692\n\nBorrow: 0\n 222150599\n 000613907\n- ---------\n 000036692\n\n000036692\n\nBorrow: 1\n 222150599\n 000613907\n- ---------\n 000536692\n\n000536692\n\nBorrow: 0\n 222150599\n 000613907\n- ---------\n 001536692\n\n001536692\n\nBorrow: 0\n 222150599\n 000613907\n- ---------\n 021536692\n\n021536692\n\nBorrow: 0\n 222150599\n 000613907\n- ---------\n 221536692\n\n221536692\n", "id": 124}, {"char_len": 192, "tokens": [10410, 17, 482, 220, 13895, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 10410, 17, 198, 220, 220, 20063, 23, 198, 12, 11556, 198, 220, 220, 931, 19, 271, 931, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10410, 17, 198, 220, 220, 20063, 23, 198, 12, 11556, 198, 220, 220, 8759, 19, 271, 8759, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10410, 17, 198, 220, 220, 20063, 23, 198, 12, 11556, 198, 220, 220, 19592, 19, 271, 19592, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10410, 17, 198, 220, 220, 20063, 23, 198, 12, 11556, 198, 220, 220, 8874, 19, 271, 8874, 19, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1482 - 238\n\n\nBorrow: 1\n 1482\n 0238\n- ----\n 0004\n\n0004\n\nBorrow: 0\n 1482\n 0238\n- ----\n 0044\n\n0044\n\nBorrow: 0\n 1482\n 0238\n- ----\n 0244\n\n0244\n\nBorrow: 0\n 1482\n 0238\n- ----\n 1244\n\n1244\n", "id": 125}, {"char_len": 263, "tokens": [22455, 5538, 482, 220, 22926, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 22455, 5538, 198, 220, 220, 11030, 1774, 198, 12, 81049, 220, 220, 931, 2589, 271, 931, 2589, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22455, 5538, 198, 220, 220, 11030, 1774, 198, 12, 81049, 220, 220, 931, 1114, 271, 931, 1114, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22455, 5538, 198, 220, 220, 11030, 1774, 198, 12, 81049, 220, 220, 931, 1114, 271, 931, 1114, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22455, 5538, 198, 220, 220, 11030, 1774, 198, 12, 81049, 220, 220, 15101, 1114, 271, 15101, 1114, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22455, 5538, 198, 220, 220, 11030, 1774, 198, 12, 81049, 220, 220, 18670, 1114, 271, 18670, 1114, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "86662 - 645\n\n\nBorrow: 1\n 86662\n 00645\n- -----\n 00007\n\n00007\n\nBorrow: 0\n 86662\n 00645\n- -----\n 00017\n\n00017\n\nBorrow: 0\n 86662\n 00645\n- -----\n 00017\n\n00017\n\nBorrow: 0\n 86662\n 00645\n- -----\n 06017\n\n06017\n\nBorrow: 0\n 86662\n 00645\n- -----\n 86017\n\n86017\n", "id": 126}, {"char_len": 130, "tokens": [10750, 482, 220, 3080, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 10750, 198, 220, 220, 27309, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10750, 198, 220, 220, 27309, 198, 12, 55023, 220, 220, 15794, 271, 15794, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10750, 198, 220, 220, 27309, 198, 12, 55023, 220, 220, 8027, 271, 8027, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "183 - 67\n\n\nBorrow: 1\n 183\n 067\n- ---\n 006\n\n006\n\nBorrow: 0\n 183\n 067\n- ---\n 016\n\n016\n\nBorrow: 0\n 183\n 067\n- ---\n 116\n\n116\n", "id": 127}, {"char_len": 79, "tokens": [2397, 482, 220, 914, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 2397, 198, 220, 220, 914, 198, 12, 40614, 220, 220, 410, 271, 410, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 2397, 198, 220, 220, 914, 198, 12, 40614, 220, 220, 1272, 271, 1272, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "65 - 25\n\n\nBorrow: 0\n 65\n 25\n- --\n 00\n\n00\n\nBorrow: 0\n 65\n 25\n- --\n 40\n\n40\n", "id": 128}, {"char_len": 345, "tokens": [9800, 5500, 482, 220, 18216, 19, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 9800, 5500, 198, 220, 220, 8504, 20417, 198, 12, 11556, 7233, 220, 220, 931, 8504, 271, 931, 8504, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9800, 5500, 198, 220, 220, 8504, 20417, 198, 12, 11556, 7233, 220, 220, 931, 26421, 271, 931, 26421, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9800, 5500, 198, 220, 220, 8504, 20417, 198, 12, 11556, 7233, 220, 220, 931, 6280, 271, 931, 6280, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 9800, 5500, 198, 220, 220, 8504, 20417, 198, 12, 11556, 7233, 220, 220, 11436, 6280, 271, 11436, 6280, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9800, 5500, 198, 220, 220, 8504, 20417, 198, 12, 11556, 7233, 220, 220, 23904, 6280, 271, 23904, 6280, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9800, 5500, 198, 220, 220, 8504, 20417, 198, 12, 11556, 7233, 220, 220, 10410, 6280, 271, 10410, 6280, 198], "tokenizer": "cl100k_base", "tokens_len": 169, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "153999 - 5804\n\n\nBorrow: 0\n 153999\n 005804\n- ------\n 000005\n\n000005\n\nBorrow: 0\n 153999\n 005804\n- ------\n 000095\n\n000095\n\nBorrow: 0\n 153999\n 005804\n- ------\n 000195\n\n000195\n\nBorrow: 1\n 153999\n 005804\n- ------\n 008195\n\n008195\n\nBorrow: 0\n 153999\n 005804\n- ------\n 048195\n\n048195\n\nBorrow: 0\n 153999\n 005804\n- ------\n 148195\n\n148195\n", "id": 129}, {"char_len": 435, "tokens": [8011, 22455, 23, 482, 220, 19230, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 22455, 23, 198, 220, 220, 931, 24462, 18, 198, 12, 39707, 220, 220, 931, 931, 20, 271, 931, 931, 20, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 8011, 22455, 23, 198, 220, 220, 931, 24462, 18, 198, 12, 39707, 220, 220, 931, 11436, 20, 271, 931, 11436, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 22455, 23, 198, 220, 220, 931, 24462, 18, 198, 12, 39707, 220, 220, 931, 22000, 20, 271, 931, 22000, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 22455, 23, 198, 220, 220, 931, 24462, 18, 198, 12, 39707, 220, 220, 931, 22716, 20, 271, 931, 22716, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 22455, 23, 198, 220, 220, 931, 24462, 18, 198, 12, 39707, 220, 220, 8759, 22716, 20, 271, 8759, 22716, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 22455, 23, 198, 220, 220, 931, 24462, 18, 198, 12, 39707, 220, 220, 15901, 22716, 20, 271, 15901, 22716, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 22455, 23, 198, 220, 220, 931, 24462, 18, 198, 12, 39707, 220, 220, 8011, 22716, 20, 271, 8011, 22716, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 217, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1148668 - 383\n\n\nBorrow: 0\n 1148668\n 0000383\n- -------\n 0000005\n\n0000005\n\nBorrow: 1\n 1148668\n 0000383\n- -------\n 0000085\n\n0000085\n\nBorrow: 0\n 1148668\n 0000383\n- -------\n 0000285\n\n0000285\n\nBorrow: 0\n 1148668\n 0000383\n- -------\n 0008285\n\n0008285\n\nBorrow: 0\n 1148668\n 0000383\n- -------\n 0048285\n\n0048285\n\nBorrow: 0\n 1148668\n 0000383\n- -------\n 0148285\n\n0148285\n\nBorrow: 0\n 1148668\n 0000383\n- -------\n 1148285\n\n1148285\n", "id": 130}, {"char_len": 79, "tokens": [1682, 482, 220, 1691, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 1682, 198, 220, 220, 1691, 198, 12, 40614, 220, 220, 2318, 271, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1682, 198, 220, 220, 1691, 198, 12, 40614, 220, 220, 2318, 271, 2318, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "29 - 21\n\n\nBorrow: 0\n 29\n 21\n- --\n 08\n\n08\n\nBorrow: 0\n 29\n 21\n- --\n 08\n\n08\n", "id": 131}, {"char_len": 131, "tokens": [25875, 482, 220, 12338, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 25875, 198, 220, 220, 12338, 198, 12, 55023, 220, 220, 6268, 271, 6268, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25875, 198, 220, 220, 12338, 198, 12, 55023, 220, 220, 20063, 271, 20063, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25875, 198, 220, 220, 12338, 198, 12, 55023, 220, 220, 24388, 271, 24388, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "955 - 232\n\n\nBorrow: 0\n 955\n 232\n- ---\n 003\n\n003\n\nBorrow: 0\n 955\n 232\n- ---\n 023\n\n023\n\nBorrow: 0\n 955\n 232\n- ---\n 723\n\n723\n", "id": 132}, {"char_len": 437, "tokens": [17690, 12326, 21, 482, 220, 12819, 3076, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 17690, 12326, 21, 198, 220, 220, 8759, 11056, 24, 198, 12, 39707, 220, 220, 931, 931, 22, 271, 931, 931, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 17690, 12326, 21, 198, 220, 220, 8759, 11056, 24, 198, 12, 39707, 220, 220, 931, 8504, 22, 271, 931, 8504, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17690, 12326, 21, 198, 220, 220, 8759, 11056, 24, 198, 12, 39707, 220, 220, 931, 23785, 22, 271, 931, 23785, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17690, 12326, 21, 198, 220, 220, 8759, 11056, 24, 198, 12, 39707, 220, 220, 931, 23785, 22, 271, 931, 23785, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17690, 12326, 21, 198, 220, 220, 8759, 11056, 24, 198, 12, 39707, 220, 220, 8759, 23785, 22, 271, 8759, 23785, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17690, 12326, 21, 198, 220, 220, 8759, 11056, 24, 198, 12, 39707, 220, 220, 26195, 23785, 22, 271, 26195, 23785, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17690, 12326, 21, 198, 220, 220, 8759, 11056, 24, 198, 12, 39707, 220, 220, 17168, 23785, 22, 271, 17168, 23785, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2982526 - 42069\n\n\nBorrow: 1\n 2982526\n 0042069\n- -------\n 0000007\n\n0000007\n\nBorrow: 1\n 2982526\n 0042069\n- -------\n 0000057\n\n0000057\n\nBorrow: 0\n 2982526\n 0042069\n- -------\n 0000457\n\n0000457\n\nBorrow: 0\n 2982526\n 0042069\n- -------\n 0000457\n\n0000457\n\nBorrow: 0\n 2982526\n 0042069\n- -------\n 0040457\n\n0040457\n\nBorrow: 0\n 2982526\n 0042069\n- -------\n 0940457\n\n0940457\n\nBorrow: 0\n 2982526\n 0042069\n- -------\n 2940457\n\n2940457\n", "id": 133}, {"char_len": 434, "tokens": [9756, 18633, 20, 482, 220, 845, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 9756, 18633, 20, 198, 220, 220, 931, 4119, 21, 198, 12, 39707, 220, 220, 931, 931, 24, 271, 931, 931, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9756, 18633, 20, 198, 220, 220, 931, 4119, 21, 198, 12, 39707, 220, 220, 931, 11030, 24, 271, 931, 11030, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9756, 18633, 20, 198, 220, 220, 931, 4119, 21, 198, 12, 39707, 220, 220, 931, 23110, 24, 271, 931, 23110, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9756, 18633, 20, 198, 220, 220, 931, 4119, 21, 198, 12, 39707, 220, 220, 931, 17014, 24, 271, 931, 17014, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9756, 18633, 20, 198, 220, 220, 931, 4119, 21, 198, 12, 39707, 220, 220, 6726, 17014, 24, 271, 6726, 17014, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9756, 18633, 20, 198, 220, 220, 931, 4119, 21, 198, 12, 39707, 220, 220, 24130, 17014, 24, 271, 24130, 17014, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9756, 18633, 20, 198, 220, 220, 931, 4119, 21, 198, 12, 39707, 220, 220, 9756, 17014, 24, 271, 9756, 17014, 24, 198], "tokenizer": "cl100k_base", "tokens_len": 217, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1523385 - 16\n\n\nBorrow: 1\n 1523385\n 0000016\n- -------\n 0000009\n\n0000009\n\nBorrow: 0\n 1523385\n 0000016\n- -------\n 0000069\n\n0000069\n\nBorrow: 0\n 1523385\n 0000016\n- -------\n 0000369\n\n0000369\n\nBorrow: 0\n 1523385\n 0000016\n- -------\n 0003369\n\n0003369\n\nBorrow: 0\n 1523385\n 0000016\n- -------\n 0023369\n\n0023369\n\nBorrow: 0\n 1523385\n 0000016\n- -------\n 0523369\n\n0523369\n\nBorrow: 0\n 1523385\n 0000016\n- -------\n 1523369\n\n1523369\n", "id": 134}, {"char_len": 130, "tokens": [25513, 482, 220, 975, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 25513, 198, 220, 220, 15901, 198, 12, 55023, 220, 220, 931, 271, 931, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25513, 198, 220, 220, 15901, 198, 12, 55023, 220, 220, 15101, 271, 15101, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25513, 198, 220, 220, 15901, 198, 12, 55023, 220, 220, 19274, 271, 19274, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "674 - 14\n\n\nBorrow: 0\n 674\n 014\n- ---\n 000\n\n000\n\nBorrow: 0\n 674\n 014\n- ---\n 060\n\n060\n\nBorrow: 0\n 674\n 014\n- ---\n 660\n\n660\n", "id": 135}, {"char_len": 191, "tokens": [10559, 24, 482, 220, 1313, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10559, 24, 198, 220, 220, 6726, 17, 198, 12, 11556, 198, 220, 220, 931, 22, 271, 931, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10559, 24, 198, 220, 220, 6726, 17, 198, 12, 11556, 198, 220, 220, 6726, 22, 271, 6726, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10559, 24, 198, 220, 220, 6726, 17, 198, 12, 11556, 198, 220, 220, 24130, 22, 271, 24130, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10559, 24, 198, 220, 220, 6726, 17, 198, 12, 11556, 198, 220, 220, 9756, 22, 271, 9756, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1549 - 22\n\n\nBorrow: 0\n 1549\n 0022\n- ----\n 0007\n\n0007\n\nBorrow: 0\n 1549\n 0022\n- ----\n 0027\n\n0027\n\nBorrow: 0\n 1549\n 0022\n- ----\n 0527\n\n0527\n\nBorrow: 0\n 1549\n 0022\n- ----\n 1527\n\n1527\n", "id": 136}, {"char_len": 191, "tokens": [26439, 20, 482, 220, 2031, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 26439, 20, 198, 220, 220, 11194, 15, 198, 12, 11556, 198, 220, 220, 931, 20, 271, 931, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26439, 20, 198, 220, 220, 11194, 15, 198, 12, 11556, 198, 220, 220, 6726, 20, 271, 6726, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26439, 20, 198, 220, 220, 11194, 15, 198, 12, 11556, 198, 220, 220, 24130, 20, 271, 24130, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26439, 20, 198, 220, 220, 11194, 15, 198, 12, 11556, 198, 220, 220, 23644, 20, 271, 23644, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "7595 - 70\n\n\nBorrow: 0\n 7595\n 0070\n- ----\n 0005\n\n0005\n\nBorrow: 0\n 7595\n 0070\n- ----\n 0025\n\n0025\n\nBorrow: 0\n 7595\n 0070\n- ----\n 0525\n\n0525\n\nBorrow: 0\n 7595\n 0070\n- ----\n 7525\n\n7525\n", "id": 137}, {"char_len": 79, "tokens": [1591, 482, 220, 868, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 1591, 198, 220, 220, 868, 198, 12, 40614, 220, 220, 2839, 271, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1591, 198, 220, 220, 868, 198, 12, 40614, 220, 220, 1032, 271, 1032, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "28 - 15\n\n\nBorrow: 0\n 28\n 15\n- --\n 03\n\n03\n\nBorrow: 0\n 28\n 15\n- --\n 13\n\n13\n", "id": 138}, {"char_len": 130, "tokens": [25388, 482, 220, 5547, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 25388, 198, 220, 220, 23324, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25388, 198, 220, 220, 23324, 198, 12, 55023, 220, 220, 23110, 271, 23110, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25388, 198, 220, 220, 23324, 198, 12, 55023, 220, 220, 22422, 271, 22422, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "697 - 61\n\n\nBorrow: 0\n 697\n 061\n- ---\n 006\n\n006\n\nBorrow: 0\n 697\n 061\n- ---\n 036\n\n036\n\nBorrow: 0\n 697\n 061\n- ---\n 636\n\n636\n", "id": 139}, {"char_len": 130, "tokens": [25110, 482, 220, 605, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 25110, 198, 220, 220, 7755, 198, 12, 55023, 220, 220, 4119, 271, 4119, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25110, 198, 220, 220, 7755, 198, 12, 55023, 220, 220, 23545, 271, 23545, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25110, 198, 220, 220, 7755, 198, 12, 55023, 220, 220, 23986, 271, 23986, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "761 - 10\n\n\nBorrow: 0\n 761\n 010\n- ---\n 001\n\n001\n\nBorrow: 0\n 761\n 010\n- ---\n 051\n\n051\n\nBorrow: 0\n 761\n 010\n- ---\n 751\n\n751\n", "id": 140}, {"char_len": 79, "tokens": [4103, 482, 220, 2166, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 4103, 198, 220, 220, 2166, 198, 12, 40614, 220, 220, 2371, 271, 2371, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4103, 198, 220, 220, 2166, 198, 12, 40614, 220, 220, 2371, 271, 2371, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "52 - 48\n\n\nBorrow: 1\n 52\n 48\n- --\n 04\n\n04\n\nBorrow: 0\n 52\n 48\n- --\n 04\n\n04\n", "id": 141}, {"char_len": 436, "tokens": [8027, 13817, 21, 482, 220, 13104, 17, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 8027, 13817, 21, 198, 220, 220, 931, 13104, 17, 198, 12, 39707, 220, 220, 931, 931, 19, 271, 931, 931, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8027, 13817, 21, 198, 220, 220, 931, 13104, 17, 198, 12, 39707, 220, 220, 931, 11194, 19, 271, 931, 11194, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8027, 13817, 21, 198, 220, 220, 931, 13104, 17, 198, 12, 39707, 220, 220, 931, 11194, 19, 271, 931, 11194, 19, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 8027, 13817, 21, 198, 220, 220, 931, 13104, 17, 198, 12, 39707, 220, 220, 931, 21996, 19, 271, 931, 21996, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8027, 13817, 21, 198, 220, 220, 931, 13104, 17, 198, 12, 39707, 220, 220, 8504, 21996, 19, 271, 8504, 21996, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8027, 13817, 21, 198, 220, 220, 931, 13104, 17, 198, 12, 39707, 220, 220, 16037, 21996, 19, 271, 16037, 21996, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8027, 13817, 21, 198, 220, 220, 931, 13104, 17, 198, 12, 39707, 220, 220, 7322, 21996, 19, 271, 7322, 21996, 19, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1163276 - 7202\n\n\nBorrow: 0\n 1163276\n 0007202\n- -------\n 0000004\n\n0000004\n\nBorrow: 0\n 1163276\n 0007202\n- -------\n 0000074\n\n0000074\n\nBorrow: 0\n 1163276\n 0007202\n- -------\n 0000074\n\n0000074\n\nBorrow: 1\n 1163276\n 0007202\n- -------\n 0006074\n\n0006074\n\nBorrow: 0\n 1163276\n 0007202\n- -------\n 0056074\n\n0056074\n\nBorrow: 0\n 1163276\n 0007202\n- -------\n 0156074\n\n0156074\n\nBorrow: 0\n 1163276\n 0007202\n- -------\n 1156074\n\n1156074\n", "id": 142}, {"char_len": 343, "tokens": [25354, 22266, 482, 220, 2148, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 25354, 22266, 198, 220, 220, 931, 18887, 198, 12, 11556, 7233, 220, 220, 931, 4119, 271, 931, 4119, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25354, 22266, 198, 220, 220, 931, 18887, 198, 12, 11556, 7233, 220, 220, 931, 10731, 271, 931, 10731, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25354, 22266, 198, 220, 220, 931, 18887, 198, 12, 11556, 7233, 220, 220, 931, 20973, 271, 931, 20973, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25354, 22266, 198, 220, 220, 931, 18887, 198, 12, 11556, 7233, 220, 220, 13858, 20973, 271, 13858, 20973, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25354, 22266, 198, 220, 220, 931, 18887, 198, 12, 11556, 7233, 220, 220, 25867, 20973, 271, 25867, 20973, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25354, 22266, 198, 220, 220, 931, 18887, 198, 12, 11556, 7233, 220, 220, 25354, 20973, 271, 25354, 20973, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "889642 - 31\n\n\nBorrow: 0\n 889642\n 000031\n- ------\n 000001\n\n000001\n\nBorrow: 0\n 889642\n 000031\n- ------\n 000011\n\n000011\n\nBorrow: 0\n 889642\n 000031\n- ------\n 000611\n\n000611\n\nBorrow: 0\n 889642\n 000031\n- ------\n 009611\n\n009611\n\nBorrow: 0\n 889642\n 000031\n- ------\n 089611\n\n089611\n\nBorrow: 0\n 889642\n 000031\n- ------\n 889611\n\n889611\n", "id": 143}, {"char_len": 130, "tokens": [23996, 482, 220, 2148, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 23996, 198, 220, 220, 18887, 198, 12, 55023, 220, 220, 6726, 271, 6726, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23996, 198, 220, 220, 18887, 198, 12, 55023, 220, 220, 11531, 271, 11531, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23996, 198, 220, 220, 18887, 198, 12, 55023, 220, 220, 19270, 271, 19270, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "843 - 31\n\n\nBorrow: 0\n 843\n 031\n- ---\n 002\n\n002\n\nBorrow: 0\n 843\n 031\n- ---\n 012\n\n012\n\nBorrow: 0\n 843\n 031\n- ---\n 812\n\n812\n", "id": 144}, {"char_len": 949, "tokens": [18902, 25, 1819, 83193, 15, 8, 75078, 320, 55, 12264, 101, 358, 595, 75078, 320, 83193, 7, 16, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 12264, 101, 358, 1192, 7, 83193, 15, 8, 75078, 1819, 55, 12264, 101, 358, 8, 75078, 320, 83193, 7, 16, 75078, 220, 16, 6054, 1209, 83193, 15, 8, 75078, 320, 55, 12264, 101, 358, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 55, 12264, 101, 358, 595, 75078, 320, 83193, 16, 340, 1209, 55, 12264, 101, 358, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 16, 1192, 6774, 83193, 15, 8, 75078, 1630, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 358, 595, 75078, 320, 83193, 7, 16, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 40, 12264, 101, 1630, 595, 75078, 320, 83193, 7, 16, 75078, 220, 16, 1192, 7, 16, 75078, 320, 55, 12264, 101, 358, 595, 75078, 320, 83193, 7, 16, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 40, 12264, 101, 1630, 595, 75078, 320, 83193, 7, 16, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 12264, 101, 1630, 1192, 7, 83193, 15, 8, 75078, 1819, 40, 12264, 101, 1630, 8, 75078, 320, 83193, 7, 16, 75078, 220, 16, 6054, 1209, 83193, 15, 8, 75078, 320, 40, 12264, 101, 1630, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 40, 12264, 101, 1630, 595, 75078, 320, 83193, 16, 340, 1209, 40, 12264, 101, 1630, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 16, 1192, 6774, 83193, 15, 8, 75078, 358, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 1630, 595, 75078, 320, 83193, 7, 16, 75078, 220, 16, 1192, 7, 16, 75078, 320, 40, 12264, 101, 1630, 595, 75078, 320, 83193, 7, 16, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 40, 12264, 101, 1630, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 12264, 101, 1630, 1192, 7, 83193, 15, 8, 75078, 1819, 40, 12264, 101, 1630, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 40, 12264, 101, 1630, 595, 75078, 220, 15, 198, 1209, 40, 12264, 101, 1630, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 16, 340, 6774, 83193, 15, 8, 75078, 358, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 1630, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 15, 8, 75078, 320, 55, 12264, 101, 358, 595, 75078, 320, 83193, 16, 340, 7, 16, 75078, 320, 40, 12264, 101, 1630, 595, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 40, 12264, 101, 1630, 595, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 12264, 101, 1630, 1192, 7, 83193, 15, 8, 75078, 1819, 40, 12264, 101, 1630, 8, 75078, 220, 15, 340, 1209, 40, 12264, 101, 1630, 8, 75078, 320, 83193, 15, 595, 75078, 220, 15, 198, 6774, 83193, 15, 8, 75078, 358, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 1630, 595, 75078, 220, 15, 198, 1209, 83193, 15, 8, 75078, 320, 55, 12264, 101, 358, 595, 75078, 220, 15, 198, 7, 16, 75078, 320, 40, 12264, 101, 1630, 595, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 604, "data_type": "boolean", "txt": "Original: ((\u00ac0) \u2227 (X \u2228 I)) \u2227 (\u00ac(1 \u2227 1))\n\nOptions:\n(\u00ac(1 \u2227 1)) \u2227 ((\u00ac0) \u2227 (X \u2228 I))\n(\u00ac0) \u2227 ((X \u2228 I) \u2227 (\u00ac(1 \u2227 1)))\n((\u00ac0) \u2227 (X \u2228 I)) \u2227 ((\u00ac1) \u2228 (\u00ac1))\n((\u00ac0) \u2227 (X \u2228 I)) \u2227 (\u00ac1)\n((X \u2228 I) \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2227 1))\n(((\u00ac0) \u2227 X) \u2228 ((\u00ac0) \u2227 I)) \u2227 (\u00ac(1 \u2227 1))\n((\u00ac0) \u2227 (I \u2228 X)) \u2227 (\u00ac(1 \u2227 1))\n(1 \u2227 (X \u2228 I)) \u2227 (\u00ac(1 \u2227 1))\nChosen: ((\u00ac0) \u2227 (I \u2228 X)) \u2227 (\u00ac(1 \u2227 1))\n\nOptions:\n(\u00ac(1 \u2227 1)) \u2227 ((\u00ac0) \u2227 (I \u2228 X))\n(\u00ac0) \u2227 ((I \u2228 X) \u2227 (\u00ac(1 \u2227 1)))\n((\u00ac0) \u2227 (I \u2228 X)) \u2227 ((\u00ac1) \u2228 (\u00ac1))\n((\u00ac0) \u2227 (I \u2228 X)) \u2227 (\u00ac1)\n((I \u2228 X) \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2227 1))\n(((\u00ac0) \u2227 I) \u2228 ((\u00ac0) \u2227 X)) \u2227 (\u00ac(1 \u2227 1))\n(1 \u2227 (I \u2228 X)) \u2227 (\u00ac(1 \u2227 1))\nChosen: ((\u00ac0) \u2227 (I \u2228 X)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((\u00ac0) \u2227 (I \u2228 X))\n(\u00ac0) \u2227 ((I \u2228 X) \u2227 (\u00ac1))\n((\u00ac0) \u2227 (I \u2228 X)) \u2227 0\n((I \u2228 X) \u2227 (\u00ac0)) \u2227 (\u00ac1)\n(((\u00ac0) \u2227 I) \u2228 ((\u00ac0) \u2227 X)) \u2227 (\u00ac1)\n((\u00ac0) \u2227 (X \u2228 I)) \u2227 (\u00ac1)\n(1 \u2227 (I \u2228 X)) \u2227 (\u00ac1)\nChosen: ((\u00ac0) \u2227 (I \u2228 X)) \u2227 0\n\nOptions:\n0\n0 \u2227 ((\u00ac0) \u2227 (I \u2228 X))\n(\u00ac0) \u2227 ((I \u2228 X) \u2227 0)\n((I \u2228 X) \u2227 (\u00ac0)) \u2227 0\n(((\u00ac0) \u2227 I) \u2228 ((\u00ac0) \u2227 X)) \u2227 0\n((\u00ac0) \u2227 (X \u2228 I)) \u2227 0\n(1 \u2227 (I \u2228 X)) \u2227 0\nChosen: 0", "id": 145}, {"char_len": 2193, "tokens": [18902, 25, 1819, 52, 12264, 101, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 4489, 3883, 512, 1209, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 595, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 12597, 12264, 101, 1901, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 6054, 6774, 52, 12264, 101, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 57, 12264, 101, 549, 595, 75078, 11861, 52, 12264, 101, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 15, 12264, 101, 1901, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 15, 12264, 101, 1901, 8, 75078, 320, 57, 12264, 101, 549, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 11861, 57, 12264, 101, 549, 8, 75078, 220, 15, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 1901, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 1901, 340, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 57, 12264, 101, 220, 15, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 52, 12264, 101, 1901, 595, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 12597, 12264, 101, 320, 57, 12264, 101, 320, 16, 75078, 220, 15, 7861, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 6774, 52, 12264, 101, 1901, 8, 12264, 101, 220, 16, 8, 75078, 1819, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 595, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 1209, 57, 12264, 101, 549, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 1163, 8477, 25, 1819, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 4489, 3883, 512, 1209, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 595, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 340, 12597, 12264, 101, 1901, 8, 12264, 101, 320, 15, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 6054, 6774, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 12264, 101, 549, 595, 75078, 11861, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 1901, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 1901, 8, 75078, 320, 57, 12264, 101, 549, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 57, 12264, 101, 549, 8, 75078, 220, 15, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 1901, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 1901, 340, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 57, 12264, 101, 220, 15, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 12597, 12264, 101, 1901, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 7, 15, 12264, 101, 320, 52, 12264, 101, 1901, 595, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 12597, 12264, 101, 320, 57, 12264, 101, 220, 15, 595, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 1209, 57, 12264, 101, 549, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 1163, 8477, 25, 1819, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 1901, 696, 3883, 512, 1209, 57, 12264, 101, 549, 8, 75078, 1901, 8, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 340, 12597, 12264, 101, 1901, 8, 12264, 101, 320, 15, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 1901, 1192, 6774, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 12264, 101, 549, 595, 75078, 11861, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1901, 340, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 75078, 320, 57, 12264, 101, 549, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 75078, 1901, 340, 12597, 12264, 101, 1901, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 1901, 340, 7, 15, 12264, 101, 320, 52, 12264, 101, 1901, 595, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 1901, 340, 12597, 12264, 101, 320, 57, 12264, 101, 220, 15, 595, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 1901, 340, 1209, 57, 12264, 101, 549, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 57, 12264, 101, 549, 8, 75078, 1901, 340, 1163, 8477, 25, 1819, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 75078, 1901, 696, 3883, 512, 1209, 52, 12264, 101, 1901, 8, 75078, 1901, 8, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 340, 12597, 12264, 101, 1901, 8, 12264, 101, 320, 15, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 75078, 1901, 1192, 6774, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 52, 12264, 101, 1901, 595, 75078, 11861, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1901, 340, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 75078, 320, 52, 12264, 101, 1901, 1192, 12597, 12264, 101, 1901, 8, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 75078, 1901, 340, 7, 15, 12264, 101, 320, 52, 12264, 101, 1901, 595, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 75078, 1901, 340, 12597, 12264, 101, 320, 57, 12264, 101, 220, 15, 595, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 75078, 1901, 340, 1209, 57, 12264, 101, 549, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 75078, 1901, 340, 1163, 8477, 25, 1819, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 75078, 320, 52, 12264, 101, 1901, 4489, 3883, 512, 28955, 75078, 320, 52, 12264, 101, 1901, 595, 12264, 101, 1819, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 340, 12597, 12264, 101, 1901, 8, 12264, 101, 320, 15, 12264, 101, 320, 57, 75078, 320, 52, 12264, 101, 1901, 6054, 6774, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1901, 8, 75078, 11861, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 52, 12264, 101, 1901, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 57, 75078, 549, 8, 12264, 101, 320, 57, 75078, 1901, 1192, 1209, 52, 12264, 101, 1901, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 75078, 320, 57, 12264, 101, 549, 1192, 12597, 12264, 101, 1901, 8, 12264, 101, 320, 57, 75078, 320, 52, 12264, 101, 1901, 1192, 7, 15, 12264, 101, 320, 52, 12264, 101, 1901, 595, 12264, 101, 320, 57, 75078, 320, 52, 12264, 101, 1901, 1192, 12597, 12264, 101, 320, 57, 12264, 101, 220, 15, 595, 12264, 101, 320, 57, 75078, 320, 52, 12264, 101, 1901, 1192, 1209, 57, 12264, 101, 549, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 75078, 320, 52, 12264, 101, 1901, 1192, 1163, 8477, 25, 1819, 57, 12264, 101, 549, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 75078, 320, 52, 12264, 101, 1901, 595], "tokenizer": "cl100k_base", "tokens_len": 1504, "data_type": "boolean", "txt": "Original: ((U \u2228 Z) \u2228 (1 \u2227 0)) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\n\nOptions:\n((Z \u2228 U) \u2227 (0 \u2228 Z)) \u2228 ((U \u2228 Z) \u2228 (1 \u2227 0))\n(U \u2228 Z) \u2228 ((1 \u2227 0) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z)))\n(((U \u2228 Z) \u2228 (1 \u2227 0)) \u2228 (Z \u2228 U)) \u2227 (((U \u2228 Z) \u2228 (1 \u2227 0)) \u2228 (0 \u2228 Z))\n((U \u2228 Z) \u2228 (1 \u2227 0)) \u2228 ((0 \u2228 Z) \u2227 (Z \u2228 U))\n((U \u2228 Z) \u2228 (1 \u2227 0)) \u2228 (((Z \u2228 U) \u2227 0) \u2228 ((Z \u2228 U) \u2227 Z))\n((U \u2228 Z) \u2228 (1 \u2227 0)) \u2228 ((Z \u2228 U) \u2227 Z)\n((U \u2228 Z) \u2228 (1 \u2227 0)) \u2228 ((Z \u2228 U) \u2227 (Z \u2228 0))\n((U \u2228 Z) \u2228 (1 \u2227 0)) \u2228 ((U \u2228 Z) \u2227 (0 \u2228 Z))\n((1 \u2227 0) \u2228 (U \u2228 Z)) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\n(U \u2228 (Z \u2228 (1 \u2227 0))) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\n(((U \u2228 Z) \u2228 1) \u2227 ((U \u2228 Z) \u2228 0)) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\n((U \u2228 Z) \u2228 0) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\n((U \u2228 Z) \u2228 (0 \u2227 1)) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\n((Z \u2228 U) \u2228 (1 \u2227 0)) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\nChosen: ((U \u2228 Z) \u2228 0) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\n\nOptions:\n((Z \u2228 U) \u2227 (0 \u2228 Z)) \u2228 ((U \u2228 Z) \u2228 0)\n(U \u2228 Z) \u2228 (0 \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z)))\n(((U \u2228 Z) \u2228 0) \u2228 (Z \u2228 U)) \u2227 (((U \u2228 Z) \u2228 0) \u2228 (0 \u2228 Z))\n((U \u2228 Z) \u2228 0) \u2228 ((0 \u2228 Z) \u2227 (Z \u2228 U))\n((U \u2228 Z) \u2228 0) \u2228 (((Z \u2228 U) \u2227 0) \u2228 ((Z \u2228 U) \u2227 Z))\n((U \u2228 Z) \u2228 0) \u2228 ((Z \u2228 U) \u2227 Z)\n((U \u2228 Z) \u2228 0) \u2228 ((Z \u2228 U) \u2227 (Z \u2228 0))\n((U \u2228 Z) \u2228 0) \u2228 ((U \u2228 Z) \u2227 (0 \u2228 Z))\n(U \u2228 Z) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\n(0 \u2228 (U \u2228 Z)) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\n(U \u2228 (Z \u2228 0)) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\n((Z \u2228 U) \u2228 0) \u2228 ((Z \u2228 U) \u2227 (0 \u2228 Z))\nChosen: ((U \u2228 Z) \u2228 0) \u2228 ((Z \u2228 U) \u2227 Z)\n\nOptions:\n((Z \u2228 U) \u2227 Z) \u2228 ((U \u2228 Z) \u2228 0)\n(U \u2228 Z) \u2228 (0 \u2228 ((Z \u2228 U) \u2227 Z))\n(((U \u2228 Z) \u2228 0) \u2228 (Z \u2228 U)) \u2227 (((U \u2228 Z) \u2228 0) \u2228 Z)\n((U \u2228 Z) \u2228 0) \u2228 (Z \u2227 (Z \u2228 U))\n((U \u2228 Z) \u2228 0) \u2228 ((U \u2228 Z) \u2227 Z)\n(U \u2228 Z) \u2228 ((Z \u2228 U) \u2227 Z)\n(0 \u2228 (U \u2228 Z)) \u2228 ((Z \u2228 U) \u2227 Z)\n(U \u2228 (Z \u2228 0)) \u2228 ((Z \u2228 U) \u2227 Z)\n((Z \u2228 U) \u2228 0) \u2228 ((Z \u2228 U) \u2227 Z)\nChosen: ((U \u2228 Z) \u2228 0) \u2228 ((U \u2228 Z) \u2227 Z)\n\nOptions:\n((U \u2228 Z) \u2227 Z) \u2228 ((U \u2228 Z) \u2228 0)\n(U \u2228 Z) \u2228 (0 \u2228 ((U \u2228 Z) \u2227 Z))\n(((U \u2228 Z) \u2228 0) \u2228 (U \u2228 Z)) \u2227 (((U \u2228 Z) \u2228 0) \u2228 Z)\n((U \u2228 Z) \u2228 0) \u2228 (Z \u2227 (U \u2228 Z))\n(U \u2228 Z) \u2228 ((U \u2228 Z) \u2227 Z)\n(0 \u2228 (U \u2228 Z)) \u2228 ((U \u2228 Z) \u2227 Z)\n(U \u2228 (Z \u2228 0)) \u2228 ((U \u2228 Z) \u2227 Z)\n((Z \u2228 U) \u2228 0) \u2228 ((U \u2228 Z) \u2227 Z)\nChosen: ((U \u2228 Z) \u2228 0) \u2228 (Z \u2227 (U \u2228 Z))\n\nOptions:\n(Z \u2227 (U \u2228 Z)) \u2228 ((U \u2228 Z) \u2228 0)\n(U \u2228 Z) \u2228 (0 \u2228 (Z \u2227 (U \u2228 Z)))\n(((U \u2228 Z) \u2228 0) \u2228 Z) \u2227 (((U \u2228 Z) \u2228 0) \u2228 (U \u2228 Z))\n((U \u2228 Z) \u2228 0) \u2228 ((Z \u2227 U) \u2228 (Z \u2227 Z))\n((U \u2228 Z) \u2228 0) \u2228 (Z \u2227 (Z \u2228 U))\n(U \u2228 Z) \u2228 (Z \u2227 (U \u2228 Z))\n(0 \u2228 (U \u2228 Z)) \u2228 (Z \u2227 (U \u2228 Z))\n(U \u2228 (Z \u2228 0)) \u2228 (Z \u2227 (U \u2228 Z))\n((Z \u2228 U) \u2228 0) \u2228 (Z \u2227 (U \u2228 Z))\nChosen: ((Z \u2228 U) \u2228 0) \u2228 (Z \u2227 (U \u2228 Z))", "id": 146}, {"char_len": 1242, "tokens": [18902, 25, 1819, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 595, 75078, 1819, 39, 12264, 101, 220, 15, 8, 75078, 320, 83193, 53, 4489, 3883, 512, 1209, 39, 12264, 101, 220, 15, 8, 75078, 320, 83193, 53, 595, 75078, 1819, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 1192, 6774, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 595, 75078, 320, 39, 12264, 101, 220, 15, 595, 75078, 320, 83193, 53, 340, 1209, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 595, 75078, 1819, 83193, 53, 8, 75078, 320, 39, 12264, 101, 220, 15, 1192, 1209, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 595, 75078, 320, 39, 75078, 320, 83193, 53, 1192, 1209, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 595, 75078, 1819, 15, 12264, 101, 473, 8, 75078, 320, 83193, 53, 1192, 1209, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 595, 75078, 1819, 39, 12264, 101, 220, 15, 8, 75078, 320, 83193, 53, 1192, 11135, 12264, 101, 320, 53, 12264, 101, 320, 83193, 39, 7861, 75078, 1819, 39, 12264, 101, 220, 15, 8, 75078, 320, 83193, 53, 1192, 1209, 53, 12264, 101, 473, 8, 12264, 101, 320, 83193, 39, 595, 75078, 1819, 39, 12264, 101, 220, 15, 8, 75078, 320, 83193, 53, 1192, 1163, 8477, 25, 1819, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 595, 75078, 320, 39, 75078, 320, 83193, 53, 4489, 3883, 512, 11135, 75078, 320, 83193, 53, 595, 75078, 1819, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 1192, 6774, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 595, 75078, 473, 8, 75078, 320, 83193, 53, 340, 1209, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 595, 75078, 1819, 83193, 53, 8, 75078, 473, 340, 1209, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 595, 75078, 320, 39, 75078, 320, 83193, 53, 1192, 11135, 12264, 101, 320, 53, 12264, 101, 320, 83193, 39, 7861, 75078, 320, 39, 75078, 320, 83193, 53, 1192, 1209, 53, 12264, 101, 473, 8, 12264, 101, 320, 83193, 39, 595, 75078, 320, 39, 75078, 320, 83193, 53, 1192, 1163, 8477, 25, 1819, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 595, 75078, 320, 39, 75078, 320, 83193, 53, 4489, 3883, 512, 11135, 75078, 320, 83193, 53, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 1192, 6774, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 595, 75078, 473, 8, 75078, 320, 83193, 53, 340, 1209, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 595, 75078, 1819, 83193, 53, 8, 75078, 473, 340, 6774, 83193, 39, 8, 12264, 101, 473, 8, 12264, 101, 650, 8, 75078, 320, 39, 75078, 320, 83193, 53, 1192, 1209, 83193, 39, 8, 12264, 101, 320, 53, 12264, 101, 473, 595, 75078, 320, 39, 75078, 320, 83193, 53, 1192, 1163, 8477, 25, 1819, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 595, 75078, 1819, 83193, 53, 8, 75078, 473, 696, 3883, 512, 1209, 83193, 53, 8, 75078, 473, 8, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 1192, 6774, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 595, 75078, 320, 83193, 53, 595, 75078, 473, 198, 1209, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 595, 75078, 1819, 83193, 53, 8, 75078, 473, 340, 6774, 83193, 39, 8, 12264, 101, 473, 8, 12264, 101, 650, 8, 75078, 1819, 83193, 53, 8, 75078, 473, 340, 1209, 83193, 39, 8, 12264, 101, 320, 53, 12264, 101, 473, 595, 75078, 1819, 83193, 53, 8, 75078, 473, 340, 1163, 8477, 25, 1819, 83193, 53, 8, 75078, 473, 8, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 4489, 3883, 512, 7, 83193, 53, 8, 75078, 320, 39, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 6054, 6774, 83193, 53, 8, 75078, 473, 8, 75078, 320, 83193, 39, 595, 12264, 101, 11861, 83193, 53, 8, 75078, 473, 8, 75078, 320, 39, 12264, 101, 650, 1192, 1209, 83193, 53, 8, 75078, 473, 8, 75078, 1819, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 39, 1192, 1209, 83193, 53, 8, 75078, 473, 8, 75078, 11861, 83193, 39, 8, 12264, 101, 473, 8, 12264, 101, 650, 340, 1209, 83193, 53, 8, 75078, 473, 8, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 53, 12264, 101, 473, 1192, 11135, 75078, 320, 83193, 53, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 1192, 1163, 8477, 25, 320, 39, 75078, 320, 83193, 53, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 12264, 101, 650, 595], "tokenizer": "cl100k_base", "tokens_len": 789, "data_type": "boolean", "txt": "Original: ((H \u2228 V) \u2228 (\u00acH)) \u2227 ((H \u2228 0) \u2227 (\u00acV))\n\nOptions:\n((H \u2228 0) \u2227 (\u00acV)) \u2227 ((H \u2228 V) \u2228 (\u00acH))\n(((H \u2228 V) \u2228 (\u00acH)) \u2227 (H \u2228 0)) \u2227 (\u00acV)\n((H \u2228 V) \u2228 (\u00acH)) \u2227 ((\u00acV) \u2227 (H \u2228 0))\n((H \u2228 V) \u2228 (\u00acH)) \u2227 (H \u2227 (\u00acV))\n((H \u2228 V) \u2228 (\u00acH)) \u2227 ((0 \u2228 H) \u2227 (\u00acV))\n((\u00acH) \u2228 (H \u2228 V)) \u2227 ((H \u2228 0) \u2227 (\u00acV))\n(H \u2228 (V \u2228 (\u00acH))) \u2227 ((H \u2228 0) \u2227 (\u00acV))\n((V \u2228 H) \u2228 (\u00acH)) \u2227 ((H \u2228 0) \u2227 (\u00acV))\nChosen: ((H \u2228 V) \u2228 (\u00acH)) \u2227 (H \u2227 (\u00acV))\n\nOptions:\n(H \u2227 (\u00acV)) \u2227 ((H \u2228 V) \u2228 (\u00acH))\n(((H \u2228 V) \u2228 (\u00acH)) \u2227 H) \u2227 (\u00acV)\n((H \u2228 V) \u2228 (\u00acH)) \u2227 ((\u00acV) \u2227 H)\n((\u00acH) \u2228 (H \u2228 V)) \u2227 (H \u2227 (\u00acV))\n(H \u2228 (V \u2228 (\u00acH))) \u2227 (H \u2227 (\u00acV))\n((V \u2228 H) \u2228 (\u00acH)) \u2227 (H \u2227 (\u00acV))\nChosen: ((\u00acH) \u2228 (H \u2228 V)) \u2227 (H \u2227 (\u00acV))\n\nOptions:\n(H \u2227 (\u00acV)) \u2227 ((\u00acH) \u2228 (H \u2228 V))\n(((\u00acH) \u2228 (H \u2228 V)) \u2227 H) \u2227 (\u00acV)\n((\u00acH) \u2228 (H \u2228 V)) \u2227 ((\u00acV) \u2227 H)\n(((\u00acH) \u2228 H) \u2228 V) \u2227 (H \u2227 (\u00acV))\n((\u00acH) \u2228 (V \u2228 H)) \u2227 (H \u2227 (\u00acV))\nChosen: ((\u00acH) \u2228 (H \u2228 V)) \u2227 ((\u00acV) \u2227 H)\n\nOptions:\n((\u00acV) \u2227 H) \u2227 ((\u00acH) \u2228 (H \u2228 V))\n(((\u00acH) \u2228 (H \u2228 V)) \u2227 (\u00acV)) \u2227 H\n((H \u2228 V) \u2228 (\u00acH)) \u2227 ((\u00acV) \u2227 H)\n(((\u00acH) \u2228 H) \u2228 V) \u2227 ((\u00acV) \u2227 H)\n((\u00acH) \u2228 (V \u2228 H)) \u2227 ((\u00acV) \u2227 H)\nChosen: ((\u00acV) \u2227 H) \u2227 ((\u00acH) \u2228 (H \u2228 V))\n\nOptions:\n(\u00acV) \u2227 (H \u2227 ((\u00acH) \u2228 (H \u2228 V)))\n(((\u00acV) \u2227 H) \u2227 (\u00acH)) \u2228 (((\u00acV) \u2227 H) \u2227 (H \u2228 V))\n((\u00acV) \u2227 H) \u2227 ((H \u2228 V) \u2228 (\u00acH))\n((\u00acV) \u2227 H) \u2227 (((\u00acH) \u2228 H) \u2228 V)\n((\u00acV) \u2227 H) \u2227 ((\u00acH) \u2228 (V \u2228 H))\n(H \u2227 (\u00acV)) \u2227 ((\u00acH) \u2228 (H \u2228 V))\nChosen: (H \u2227 (\u00acV)) \u2227 ((\u00acH) \u2228 (H \u2228 V))", "id": 147}, {"char_len": 453, "tokens": [18902, 25, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 48, 595, 75078, 320, 83193, 7, 83193, 48, 4489, 3883, 512, 7, 83193, 7, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 48, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1229, 198, 1163, 8477, 25, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1229, 271, 3883, 512, 48, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 48, 1192, 1163, 8477, 25, 1229, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 48, 4489, 3883, 512, 6386, 75078, 320, 83193, 48, 595, 12264, 101, 320, 48, 75078, 320, 83193, 48, 1192, 1163, 8477, 25, 320, 48, 75078, 320, 83193, 48, 595, 12264, 101, 320, 48, 75078, 320, 83193, 48, 4489, 3883, 512, 1209, 48, 75078, 320, 83193, 48, 595, 12264, 101, 1229, 8, 75078, 1819, 48, 75078, 320, 83193, 48, 595, 12264, 101, 320, 83193, 48, 1192, 6386, 75078, 320, 83193, 48, 595, 12264, 101, 220, 15, 198, 6386, 75078, 320, 83193, 48, 595, 12264, 101, 1819, 83193, 48, 8, 75078, 1229, 340, 15, 12264, 101, 320, 48, 75078, 320, 83193, 48, 1192, 1209, 83193, 48, 8, 75078, 1229, 8, 12264, 101, 320, 48, 75078, 320, 83193, 48, 1192, 1163, 8477, 25, 320, 48, 75078, 320, 83193, 48, 595, 12264, 101, 220, 15, 271, 3883, 512, 48, 75078, 320, 83193, 48, 340, 15, 12264, 101, 320, 48, 75078, 320, 83193, 48, 1192, 15, 12264, 101, 220, 15, 198, 1209, 83193, 48, 8, 75078, 1229, 8, 12264, 101, 220, 15, 198, 1163, 8477, 25, 1229, 75078, 320, 83193, 48, 8], "tokenizer": "cl100k_base", "tokens_len": 271, "data_type": "boolean", "txt": "Original: ((\u00acQ) \u2228 (\u00acQ)) \u2227 (\u00ac(\u00acQ))\n\nOptions:\n(\u00ac(\u00acQ)) \u2227 ((\u00acQ) \u2228 (\u00acQ))\n((\u00acQ) \u2228 (\u00acQ)) \u2227 Q\nChosen: ((\u00acQ) \u2228 (\u00acQ)) \u2227 Q\n\nOptions:\nQ \u2227 ((\u00acQ) \u2228 (\u00acQ))\nChosen: Q \u2227 ((\u00acQ) \u2228 (\u00acQ))\n\nOptions:\n(Q \u2227 (\u00acQ)) \u2228 (Q \u2227 (\u00acQ))\nChosen: (Q \u2227 (\u00acQ)) \u2228 (Q \u2227 (\u00acQ))\n\nOptions:\n((Q \u2227 (\u00acQ)) \u2228 Q) \u2227 ((Q \u2227 (\u00acQ)) \u2228 (\u00acQ))\n(Q \u2227 (\u00acQ)) \u2228 0\n(Q \u2227 (\u00acQ)) \u2228 ((\u00acQ) \u2227 Q)\n0 \u2228 (Q \u2227 (\u00acQ))\n((\u00acQ) \u2227 Q) \u2228 (Q \u2227 (\u00acQ))\nChosen: (Q \u2227 (\u00acQ)) \u2228 0\n\nOptions:\nQ \u2227 (\u00acQ)\n0 \u2228 (Q \u2227 (\u00acQ))\n0 \u2228 0\n((\u00acQ) \u2227 Q) \u2228 0\nChosen: Q \u2227 (\u00acQ)", "id": 148}, {"char_len": 879, "tokens": [18902, 25, 320, 83193, 7, 83193, 51, 595, 75078, 1819, 51, 12264, 101, 469, 8, 75078, 320, 15, 75078, 220, 15, 4489, 3883, 512, 1209, 51, 12264, 101, 469, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 83193, 51, 1192, 1209, 83193, 7, 83193, 51, 595, 75078, 320, 51, 12264, 101, 469, 595, 75078, 320, 15, 75078, 220, 15, 340, 7, 83193, 7, 83193, 51, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 51, 12264, 101, 469, 1192, 7, 83193, 7, 83193, 51, 595, 75078, 11861, 51, 12264, 101, 469, 8, 75078, 220, 15, 8, 75078, 220, 15, 340, 7, 83193, 7, 83193, 51, 595, 75078, 1819, 51, 12264, 101, 469, 8, 75078, 220, 15, 340, 7, 83193, 7, 83193, 51, 595, 75078, 1819, 36, 12264, 101, 350, 8, 75078, 320, 15, 75078, 220, 15, 1192, 51, 75078, 1819, 51, 12264, 101, 469, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 350, 75078, 1819, 51, 12264, 101, 469, 8, 75078, 320, 15, 75078, 220, 15, 4489, 3883, 512, 1209, 51, 12264, 101, 469, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 350, 198, 4233, 75078, 320, 51, 12264, 101, 469, 595, 75078, 320, 15, 75078, 220, 15, 340, 51, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 51, 12264, 101, 469, 1192, 51, 75078, 11861, 51, 12264, 101, 469, 8, 75078, 220, 15, 8, 75078, 220, 15, 340, 51, 75078, 1819, 51, 12264, 101, 469, 8, 75078, 220, 15, 340, 51, 75078, 1819, 36, 12264, 101, 350, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 51, 12264, 101, 469, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 350, 271, 3883, 512, 4233, 12264, 101, 469, 8, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 350, 340, 1209, 15, 75078, 220, 15, 8, 75078, 320, 51, 12264, 101, 469, 595, 75078, 350, 198, 6774, 51, 12264, 101, 469, 8, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 350, 198, 1209, 51, 12264, 101, 469, 8, 75078, 220, 15, 8, 75078, 350, 198, 1209, 36, 12264, 101, 350, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 350, 198, 1163, 8477, 25, 320, 51, 12264, 101, 469, 8, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 350, 696, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 350, 8, 75078, 320, 51, 12264, 101, 469, 340, 4233, 12264, 101, 469, 8, 75078, 320, 51, 75078, 320, 15, 75078, 220, 15, 1192, 4233, 12264, 101, 469, 8, 75078, 320, 15, 75078, 320, 15, 75078, 350, 1192, 4233, 12264, 101, 469, 8, 75078, 320, 15, 75078, 350, 340, 10953, 12264, 101, 350, 8, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 350, 340, 1163, 8477, 25, 320, 51, 12264, 101, 469, 8, 75078, 320, 15, 75078, 350, 696, 3883, 512, 7, 15, 75078, 350, 8, 75078, 320, 51, 12264, 101, 469, 340, 1209, 51, 12264, 101, 469, 8, 75078, 220, 15, 8, 75078, 350, 198, 4233, 12264, 101, 469, 8, 75078, 220, 15, 198, 4233, 12264, 101, 469, 8, 75078, 320, 51, 75078, 220, 15, 340, 10953, 12264, 101, 350, 8, 75078, 320, 15, 75078, 350, 340, 1163, 8477, 25, 320, 51, 12264, 101, 469, 8, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 542, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acT)) \u2227 ((T \u2228 E) \u2227 (0 \u2227 0))\n\nOptions:\n((T \u2228 E) \u2227 (0 \u2227 0)) \u2227 (\u00ac(\u00acT))\n((\u00ac(\u00acT)) \u2227 (T \u2228 E)) \u2227 (0 \u2227 0)\n(\u00ac(\u00acT)) \u2227 ((0 \u2227 0) \u2227 (T \u2228 E))\n(\u00ac(\u00acT)) \u2227 (((T \u2228 E) \u2227 0) \u2227 0)\n(\u00ac(\u00acT)) \u2227 ((T \u2228 E) \u2227 0)\n(\u00ac(\u00acT)) \u2227 ((E \u2228 T) \u2227 (0 \u2227 0))\nT \u2227 ((T \u2228 E) \u2227 (0 \u2227 0))\nChosen: T \u2227 ((T \u2228 E) \u2227 (0 \u2227 0))\n\nOptions:\n((T \u2228 E) \u2227 (0 \u2227 0)) \u2227 T\n(T \u2227 (T \u2228 E)) \u2227 (0 \u2227 0)\nT \u2227 ((0 \u2227 0) \u2227 (T \u2228 E))\nT \u2227 (((T \u2228 E) \u2227 0) \u2227 0)\nT \u2227 ((T \u2228 E) \u2227 0)\nT \u2227 ((E \u2228 T) \u2227 (0 \u2227 0))\nChosen: ((T \u2228 E) \u2227 (0 \u2227 0)) \u2227 T\n\nOptions:\n(T \u2228 E) \u2227 ((0 \u2227 0) \u2227 T)\n((0 \u2227 0) \u2227 (T \u2228 E)) \u2227 T\n(((T \u2228 E) \u2227 0) \u2227 0) \u2227 T\n((T \u2228 E) \u2227 0) \u2227 T\n((E \u2228 T) \u2227 (0 \u2227 0)) \u2227 T\nChosen: (T \u2228 E) \u2227 ((0 \u2227 0) \u2227 T)\n\nOptions:\n((0 \u2227 0) \u2227 T) \u2227 (T \u2228 E)\n(T \u2228 E) \u2227 (T \u2227 (0 \u2227 0))\n(T \u2228 E) \u2227 (0 \u2227 (0 \u2227 T))\n(T \u2228 E) \u2227 (0 \u2227 T)\n(E \u2228 T) \u2227 ((0 \u2227 0) \u2227 T)\nChosen: (T \u2228 E) \u2227 (0 \u2227 T)\n\nOptions:\n(0 \u2227 T) \u2227 (T \u2228 E)\n((T \u2228 E) \u2227 0) \u2227 T\n(T \u2228 E) \u2227 0\n(T \u2228 E) \u2227 (T \u2227 0)\n(E \u2228 T) \u2227 (0 \u2227 T)\nChosen: (T \u2228 E) \u2227 0", "id": 149}, {"char_len": 456, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 83193, 7, 15, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 507, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 46, 595, 75078, 320, 83193, 7, 15, 75078, 220, 15, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 7, 15, 75078, 220, 15, 1192, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 507, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 220, 16, 198, 1209, 83193, 16, 8, 75078, 320, 83193, 46, 595, 75078, 320, 83193, 15, 340, 7, 83193, 16, 8, 75078, 320, 83193, 15, 340, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 220, 16, 198, 15, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 220, 16, 271, 3883, 512, 83193, 16, 198, 15, 198, 16, 75078, 320, 83193, 16, 340, 15, 75078, 220, 16, 198, 1163, 8477, 25, 220, 16, 75078, 320, 83193, 16, 696, 3883, 512, 83193, 16, 198, 15, 198, 16, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 292, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 O)) \u2227 (\u00ac(0 \u2227 0))\n\nOptions:\n(\u00ac(0 \u2227 0)) \u2227 (\u00ac(1 \u2228 O))\n(\u00ac(1 \u2228 O)) \u2227 ((\u00ac0) \u2228 (\u00ac0))\n(\u00ac(1 \u2228 O)) \u2227 (\u00ac0)\n((\u00ac1) \u2227 (\u00acO)) \u2227 (\u00ac(0 \u2227 0))\n(\u00ac1) \u2227 (\u00ac(0 \u2227 0))\n(\u00ac(O \u2228 1)) \u2227 (\u00ac(0 \u2227 0))\nChosen: (\u00ac(1 \u2228 O)) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(1 \u2228 O))\n(\u00ac(1 \u2228 O)) \u2227 1\n((\u00ac1) \u2227 (\u00acO)) \u2227 (\u00ac0)\n(\u00ac1) \u2227 (\u00ac0)\n(\u00ac(O \u2228 1)) \u2227 (\u00ac0)\nChosen: (\u00ac1) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 (\u00ac1)\n(\u00ac1) \u2227 1\n0 \u2227 (\u00ac0)\nChosen: (\u00ac1) \u2227 1\n\nOptions:\n\u00ac1\n0\n1 \u2227 (\u00ac1)\n0 \u2227 1\nChosen: 1 \u2227 (\u00ac1)\n\nOptions:\n\u00ac1\n0\n1 \u2227 0\nChosen: 0", "id": 150}, {"char_len": 1336, "tokens": [18902, 25, 1819, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 48, 75078, 393, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 48, 75078, 393, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 1192, 6774, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 320, 48, 75078, 393, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 48, 75078, 393, 1192, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 11861, 48, 75078, 393, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 48, 75078, 393, 8, 12264, 101, 220, 16, 340, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 48, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 47, 75078, 1229, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 47, 8, 75078, 320, 47, 75078, 220, 16, 595, 12264, 101, 1819, 48, 75078, 393, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 5417, 75078, 320, 16, 75078, 320, 83193, 47, 7861, 12264, 101, 1819, 48, 75078, 393, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 5417, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 48, 75078, 393, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 393, 8, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 48, 75078, 393, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 11861, 48, 75078, 393, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 696, 3883, 512, 6774, 48, 75078, 393, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 1192, 6774, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 48, 75078, 393, 8, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 48, 75078, 393, 8, 12264, 101, 220, 16, 340, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 320, 15, 12264, 101, 1819, 48, 75078, 393, 8, 12264, 101, 220, 16, 1192, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 16, 12264, 101, 320, 48, 75078, 393, 595, 12264, 101, 220, 15, 340, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 11861, 47, 75078, 1229, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 83193, 47, 8, 75078, 320, 47, 75078, 220, 16, 595, 12264, 101, 11861, 48, 75078, 393, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 5417, 75078, 320, 16, 75078, 320, 83193, 47, 7861, 12264, 101, 11861, 48, 75078, 393, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 5417, 75078, 320, 83193, 47, 595, 12264, 101, 11861, 48, 75078, 393, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 16, 75078, 393, 8, 75078, 320, 83193, 47, 595, 12264, 101, 11861, 48, 75078, 393, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 696, 3883, 512, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 1819, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 1192, 6774, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 198, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 220, 16, 198, 1209, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1209, 83193, 47, 8, 75078, 320, 47, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 5417, 75078, 320, 16, 75078, 320, 83193, 47, 7861, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 5417, 75078, 320, 83193, 47, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1209, 16, 75078, 393, 8, 75078, 320, 83193, 47, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 1819, 47, 75078, 220, 16, 8, 75078, 320, 83193, 47, 1192, 1209, 83193, 47, 8, 75078, 320, 47, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 5417, 75078, 320, 16, 75078, 320, 83193, 47, 7861, 12264, 101, 220, 16, 198, 5417, 75078, 320, 83193, 47, 595, 12264, 101, 220, 16, 198, 1209, 16, 75078, 393, 8, 75078, 320, 83193, 47, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 907, "data_type": "boolean", "txt": "Original: ((P \u2227 1) \u2227 (\u00acP)) \u2228 ((Q \u2227 P) \u2228 (1 \u2228 0))\n\nOptions:\n((Q \u2227 P) \u2228 (1 \u2228 0)) \u2228 ((P \u2227 1) \u2227 (\u00acP))\n(((P \u2227 1) \u2227 (\u00acP)) \u2228 (Q \u2227 P)) \u2228 (1 \u2228 0)\n((P \u2227 1) \u2227 (\u00acP)) \u2228 ((1 \u2228 0) \u2228 (Q \u2227 P))\n((P \u2227 1) \u2227 (\u00acP)) \u2228 (((Q \u2227 P) \u2228 1) \u2228 0)\n((P \u2227 1) \u2227 (\u00acP)) \u2228 ((Q \u2227 P) \u2228 1)\n((P \u2227 1) \u2227 (\u00acP)) \u2228 ((Q \u2227 P) \u2228 (0 \u2228 1))\n((P \u2227 1) \u2227 (\u00acP)) \u2228 ((P \u2227 Q) \u2228 (1 \u2228 0))\n((\u00acP) \u2227 (P \u2227 1)) \u2228 ((Q \u2227 P) \u2228 (1 \u2228 0))\n(P \u2227 (1 \u2227 (\u00acP))) \u2228 ((Q \u2227 P) \u2228 (1 \u2228 0))\n(P \u2227 (\u00acP)) \u2228 ((Q \u2227 P) \u2228 (1 \u2228 0))\n((1 \u2227 P) \u2227 (\u00acP)) \u2228 ((Q \u2227 P) \u2228 (1 \u2228 0))\nChosen: ((P \u2227 1) \u2227 (\u00acP)) \u2228 (((Q \u2227 P) \u2228 1) \u2228 0)\n\nOptions:\n(((Q \u2227 P) \u2228 1) \u2228 0) \u2228 ((P \u2227 1) \u2227 (\u00acP))\n(((P \u2227 1) \u2227 (\u00acP)) \u2228 ((Q \u2227 P) \u2228 1)) \u2228 0\n((P \u2227 1) \u2227 (\u00acP)) \u2228 ((Q \u2227 P) \u2228 1)\n((P \u2227 1) \u2227 (\u00acP)) \u2228 (0 \u2228 ((Q \u2227 P) \u2228 1))\n((P \u2227 1) \u2227 (\u00acP)) \u2228 (1 \u2228 0)\n((P \u2227 1) \u2227 (\u00acP)) \u2228 ((1 \u2228 (Q \u2227 P)) \u2228 0)\n((P \u2227 1) \u2227 (\u00acP)) \u2228 (((P \u2227 Q) \u2228 1) \u2228 0)\n((\u00acP) \u2227 (P \u2227 1)) \u2228 (((Q \u2227 P) \u2228 1) \u2228 0)\n(P \u2227 (1 \u2227 (\u00acP))) \u2228 (((Q \u2227 P) \u2228 1) \u2228 0)\n(P \u2227 (\u00acP)) \u2228 (((Q \u2227 P) \u2228 1) \u2228 0)\n((1 \u2227 P) \u2227 (\u00acP)) \u2228 (((Q \u2227 P) \u2228 1) \u2228 0)\nChosen: ((P \u2227 1) \u2227 (\u00acP)) \u2228 (1 \u2228 0)\n\nOptions:\n(1 \u2228 0) \u2228 ((P \u2227 1) \u2227 (\u00acP))\n(((P \u2227 1) \u2227 (\u00acP)) \u2228 1) \u2228 0\n((P \u2227 1) \u2227 (\u00acP)) \u2228 1\n((P \u2227 1) \u2227 (\u00acP)) \u2228 (0 \u2228 1)\n((\u00acP) \u2227 (P \u2227 1)) \u2228 (1 \u2228 0)\n(P \u2227 (1 \u2227 (\u00acP))) \u2228 (1 \u2228 0)\n(P \u2227 (\u00acP)) \u2228 (1 \u2228 0)\n((1 \u2227 P) \u2227 (\u00acP)) \u2228 (1 \u2228 0)\nChosen: ((P \u2227 1) \u2227 (\u00acP)) \u2228 1\n\nOptions:\n1\n1 \u2228 ((P \u2227 1) \u2227 (\u00acP))\n((\u00acP) \u2227 (P \u2227 1)) \u2228 1\n(P \u2227 (1 \u2227 (\u00acP))) \u2228 1\n(P \u2227 (\u00acP)) \u2228 1\n((1 \u2227 P) \u2227 (\u00acP)) \u2228 1\nChosen: 1", "id": 151}, {"char_len": 1344, "tokens": [18902, 25, 1819, 16, 12264, 101, 435, 8, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 16, 12264, 101, 435, 8, 12264, 101, 320, 83193, 38, 1192, 6774, 16, 12264, 101, 435, 8, 12264, 101, 320, 83193, 38, 595, 75078, 320, 83193, 37, 595, 12264, 101, 11861, 16, 12264, 101, 435, 8, 12264, 101, 320, 83193, 38, 595, 75078, 320, 16, 75078, 220, 16, 1192, 1209, 16, 12264, 101, 435, 8, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 1192, 1209, 16, 12264, 101, 435, 8, 12264, 101, 320, 83193, 38, 595, 75078, 11861, 83193, 37, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 37, 8, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 435, 8, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 220, 16, 340, 1209, 83193, 38, 8, 12264, 101, 320, 16, 12264, 101, 435, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 7, 16, 12264, 101, 320, 37, 12264, 101, 320, 83193, 38, 7861, 75078, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 7, 16, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1209, 37, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 83193, 38, 1192, 1209, 16, 12264, 101, 320, 83193, 38, 595, 75078, 320, 83193, 37, 595, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 38, 595, 75078, 320, 16, 75078, 220, 16, 1192, 7, 16, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 1192, 7, 16, 12264, 101, 320, 83193, 38, 595, 75078, 11861, 83193, 37, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 37, 8, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 220, 16, 340, 16, 75078, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1209, 83193, 38, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 83193, 38, 4489, 3883, 512, 6774, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 38, 1192, 1209, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 220, 16, 198, 1209, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 83193, 38, 8, 12264, 101, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 75078, 320, 16, 12264, 101, 320, 83193, 38, 1192, 6774, 83193, 37, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 37, 8, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 83193, 38, 1192, 1209, 83193, 37, 8, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 320, 83193, 38, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 75078, 320, 16, 12264, 101, 320, 83193, 38, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 75078, 220, 16, 8, 12264, 101, 11861, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 75078, 320, 83193, 38, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 75078, 220, 16, 198, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 75078, 1819, 83193, 38, 8, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 320, 83193, 37, 595, 75078, 320, 16, 12264, 101, 320, 83193, 38, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 75078, 1819, 83193, 38, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 83193, 38, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 75078, 320, 83193, 38, 595, 12264, 101, 11861, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 75078, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 75078, 220, 16, 198, 1209, 83193, 37, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 83193, 38, 8, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 320, 83193, 37, 595, 75078, 1819, 83193, 38, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 909, "data_type": "boolean", "txt": "Original: ((1 \u2228 F) \u2228 (\u00acG)) \u2227 ((\u00acF) \u2228 (1 \u2227 1))\n\nOptions:\n((\u00acF) \u2228 (1 \u2227 1)) \u2227 ((1 \u2228 F) \u2228 (\u00acG))\n(((1 \u2228 F) \u2228 (\u00acG)) \u2227 (\u00acF)) \u2228 (((1 \u2228 F) \u2228 (\u00acG)) \u2227 (1 \u2227 1))\n((1 \u2228 F) \u2228 (\u00acG)) \u2227 ((1 \u2227 1) \u2228 (\u00acF))\n((1 \u2228 F) \u2228 (\u00acG)) \u2227 (((\u00acF) \u2228 1) \u2227 ((\u00acF) \u2228 1))\n((1 \u2228 F) \u2228 (\u00acG)) \u2227 ((\u00acF) \u2228 1)\n((\u00acG) \u2228 (1 \u2228 F)) \u2227 ((\u00acF) \u2228 (1 \u2227 1))\n(1 \u2228 (F \u2228 (\u00acG))) \u2227 ((\u00acF) \u2228 (1 \u2227 1))\n(1 \u2228 (\u00acG)) \u2227 ((\u00acF) \u2228 (1 \u2227 1))\n((F \u2228 1) \u2228 (\u00acG)) \u2227 ((\u00acF) \u2228 (1 \u2227 1))\nChosen: (1 \u2228 (\u00acG)) \u2227 ((\u00acF) \u2228 (1 \u2227 1))\n\nOptions:\n((\u00acF) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 (\u00acG))\n((1 \u2228 (\u00acG)) \u2227 (\u00acF)) \u2228 ((1 \u2228 (\u00acG)) \u2227 (1 \u2227 1))\n(1 \u2228 (\u00acG)) \u2227 ((1 \u2227 1) \u2228 (\u00acF))\n(1 \u2228 (\u00acG)) \u2227 (((\u00acF) \u2228 1) \u2227 ((\u00acF) \u2228 1))\n(1 \u2228 (\u00acG)) \u2227 ((\u00acF) \u2228 1)\n1 \u2227 ((\u00acF) \u2228 (1 \u2227 1))\n((\u00acG) \u2228 1) \u2227 ((\u00acF) \u2228 (1 \u2227 1))\nChosen: ((\u00acF) \u2228 (1 \u2227 1)) \u2227 (1 \u2228 (\u00acG))\n\nOptions:\n(((\u00acF) \u2228 (1 \u2227 1)) \u2227 1) \u2228 (((\u00acF) \u2228 (1 \u2227 1)) \u2227 (\u00acG))\n((\u00acF) \u2228 (1 \u2227 1)) \u2227 1\n((\u00acF) \u2228 (1 \u2227 1)) \u2227 ((\u00acG) \u2228 1)\n((1 \u2227 1) \u2228 (\u00acF)) \u2227 (1 \u2228 (\u00acG))\n(((\u00acF) \u2228 1) \u2227 ((\u00acF) \u2228 1)) \u2227 (1 \u2228 (\u00acG))\n((\u00acF) \u2228 1) \u2227 (1 \u2228 (\u00acG))\nChosen: ((1 \u2227 1) \u2228 (\u00acF)) \u2227 (1 \u2228 (\u00acG))\n\nOptions:\n(1 \u2228 (\u00acG)) \u2227 ((1 \u2227 1) \u2228 (\u00acF))\n(((1 \u2227 1) \u2228 (\u00acF)) \u2227 1) \u2228 (((1 \u2227 1) \u2228 (\u00acF)) \u2227 (\u00acG))\n((1 \u2227 1) \u2228 (\u00acF)) \u2227 1\n((1 \u2227 1) \u2228 (\u00acF)) \u2227 ((\u00acG) \u2228 1)\n(1 \u2228 (\u00acF)) \u2227 (1 \u2228 (\u00acG))\nChosen: ((1 \u2227 1) \u2228 (\u00acF)) \u2227 ((\u00acG) \u2228 1)\n\nOptions:\n((\u00acG) \u2228 1) \u2227 ((1 \u2227 1) \u2228 (\u00acF))\n(((1 \u2227 1) \u2228 (\u00acF)) \u2227 (\u00acG)) \u2228 (((1 \u2227 1) \u2228 (\u00acF)) \u2227 1)\n((1 \u2227 1) \u2228 (\u00acF)) \u2227 1\n((\u00acF) \u2228 (1 \u2227 1)) \u2227 ((\u00acG) \u2228 1)\n(1 \u2228 (\u00acF)) \u2227 ((\u00acG) \u2228 1)\nChosen: ((1 \u2227 1) \u2228 (\u00acF)) \u2227 1", "id": 152}, {"char_len": 1305, "tokens": [18902, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 1209, 16, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 7, 16, 75078, 320, 15, 75078, 320, 57, 12264, 101, 220, 16, 7861, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 6774, 16, 75078, 220, 15, 8, 75078, 1901, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 1901, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 7, 15, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 16, 340, 7, 16, 75078, 320, 15, 75078, 320, 57, 12264, 101, 220, 16, 7861, 12264, 101, 320, 83193, 16, 340, 6774, 16, 75078, 220, 15, 8, 75078, 1901, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 16, 75078, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 1901, 595, 12264, 101, 320, 83193, 16, 340, 7, 15, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 271, 3883, 512, 7, 16, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 16, 340, 15, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 16, 1192, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 15, 75078, 320, 57, 12264, 101, 220, 16, 7861, 12264, 101, 220, 15, 198, 6774, 16, 75078, 220, 15, 8, 75078, 1901, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 220, 16, 595, 12264, 101, 220, 15, 198, 1209, 16, 75078, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 220, 15, 198, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 1901, 595, 12264, 101, 220, 15, 198, 7, 15, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 1209, 15, 75078, 220, 16, 8, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 320, 16, 75078, 320, 15, 75078, 320, 57, 12264, 101, 220, 16, 7861, 12264, 101, 220, 15, 271, 3883, 512, 16, 75078, 320, 15, 75078, 320, 57, 12264, 101, 220, 16, 1192, 15, 12264, 101, 320, 16, 75078, 320, 15, 75078, 320, 57, 12264, 101, 220, 16, 6054, 7, 15, 75078, 320, 57, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 1209, 15, 75078, 320, 57, 12264, 101, 220, 16, 595, 75078, 220, 16, 8, 12264, 101, 220, 15, 198, 7, 16, 75078, 220, 15, 8, 12264, 101, 220, 15, 198, 7, 16, 75078, 1819, 57, 12264, 101, 220, 16, 8, 75078, 220, 15, 595, 12264, 101, 220, 15, 198, 7, 16, 75078, 1819, 15, 75078, 1901, 8, 12264, 101, 320, 15, 75078, 220, 16, 7861, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 15, 75078, 320, 16, 12264, 101, 1901, 7861, 12264, 101, 220, 15, 198, 1163, 8477, 25, 220, 16, 75078, 320, 15, 75078, 320, 57, 12264, 101, 220, 16, 4489, 3883, 512, 15, 75078, 320, 57, 12264, 101, 220, 16, 340, 7, 15, 75078, 320, 57, 12264, 101, 220, 16, 595, 75078, 220, 16, 198, 7, 16, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 16, 340, 16, 75078, 220, 15, 198, 16, 75078, 1819, 57, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 16, 75078, 1819, 15, 75078, 1901, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 16, 75078, 320, 15, 75078, 220, 16, 340, 16, 75078, 320, 15, 75078, 320, 16, 12264, 101, 1901, 1192, 1163, 8477, 25, 220, 16, 75078, 1819, 15, 75078, 1901, 8, 12264, 101, 320, 15, 75078, 220, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 917, "data_type": "boolean", "txt": "Original: ((1 \u2227 0) \u2227 (Z \u2228 1)) \u2228 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 ((1 \u2227 0) \u2227 (Z \u2228 1))\n((1 \u2227 0) \u2227 (Z \u2228 1)) \u2228 0\n((1 \u2227 0) \u2227 (Z \u2228 1)) \u2228 (\u00ac1)\n((Z \u2228 1) \u2227 (1 \u2227 0)) \u2228 (\u00ac(\u00ac0))\n(1 \u2227 (0 \u2227 (Z \u2228 1))) \u2228 (\u00ac(\u00ac0))\n(((1 \u2227 0) \u2227 Z) \u2228 ((1 \u2227 0) \u2227 1)) \u2228 (\u00ac(\u00ac0))\n((1 \u2227 0) \u2227 1) \u2228 (\u00ac(\u00ac0))\n((1 \u2227 0) \u2227 (1 \u2228 Z)) \u2228 (\u00ac(\u00ac0))\n(0 \u2227 (Z \u2228 1)) \u2228 (\u00ac(\u00ac0))\n((0 \u2227 1) \u2227 (Z \u2228 1)) \u2228 (\u00ac(\u00ac0))\nChosen: ((1 \u2227 0) \u2227 (Z \u2228 1)) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 ((1 \u2227 0) \u2227 (Z \u2228 1))\n((1 \u2227 0) \u2227 (Z \u2228 1)) \u2228 0\n((Z \u2228 1) \u2227 (1 \u2227 0)) \u2228 (\u00ac1)\n(1 \u2227 (0 \u2227 (Z \u2228 1))) \u2228 (\u00ac1)\n(((1 \u2227 0) \u2227 Z) \u2228 ((1 \u2227 0) \u2227 1)) \u2228 (\u00ac1)\n((1 \u2227 0) \u2227 1) \u2228 (\u00ac1)\n((1 \u2227 0) \u2227 (1 \u2228 Z)) \u2228 (\u00ac1)\n(0 \u2227 (Z \u2228 1)) \u2228 (\u00ac1)\n((0 \u2227 1) \u2227 (Z \u2228 1)) \u2228 (\u00ac1)\nChosen: ((1 \u2227 0) \u2227 (Z \u2228 1)) \u2228 0\n\nOptions:\n(1 \u2227 0) \u2227 (Z \u2228 1)\n0 \u2228 ((1 \u2227 0) \u2227 (Z \u2228 1))\n((Z \u2228 1) \u2227 (1 \u2227 0)) \u2228 0\n(1 \u2227 (0 \u2227 (Z \u2228 1))) \u2228 0\n(((1 \u2227 0) \u2227 Z) \u2228 ((1 \u2227 0) \u2227 1)) \u2228 0\n((1 \u2227 0) \u2227 1) \u2228 0\n((1 \u2227 0) \u2227 (1 \u2228 Z)) \u2228 0\n(0 \u2227 (Z \u2228 1)) \u2228 0\n((0 \u2227 1) \u2227 (Z \u2228 1)) \u2228 0\nChosen: (1 \u2227 (0 \u2227 (Z \u2228 1))) \u2228 0\n\nOptions:\n1 \u2227 (0 \u2227 (Z \u2228 1))\n0 \u2228 (1 \u2227 (0 \u2227 (Z \u2228 1)))\n(0 \u2227 (Z \u2228 1)) \u2228 0\n((0 \u2227 (Z \u2228 1)) \u2227 1) \u2228 0\n(1 \u2227 0) \u2228 0\n(1 \u2227 ((Z \u2228 1) \u2227 0)) \u2228 0\n(1 \u2227 ((0 \u2227 Z) \u2228 (0 \u2227 1))) \u2228 0\n(1 \u2227 (0 \u2227 1)) \u2228 0\n(1 \u2227 (0 \u2227 (1 \u2228 Z))) \u2228 0\nChosen: 1 \u2227 (0 \u2227 (Z \u2228 1))\n\nOptions:\n0 \u2227 (Z \u2228 1)\n(0 \u2227 (Z \u2228 1)) \u2227 1\n(1 \u2227 0) \u2227 (Z \u2228 1)\n1 \u2227 0\n1 \u2227 ((Z \u2228 1) \u2227 0)\n1 \u2227 ((0 \u2227 Z) \u2228 (0 \u2227 1))\n1 \u2227 (0 \u2227 1)\n1 \u2227 (0 \u2227 (1 \u2228 Z))\nChosen: 1 \u2227 ((0 \u2227 Z) \u2228 (0 \u2227 1))", "id": 153}, {"char_len": 42, "tokens": [18902, 25, 97265, 7, 83193, 7, 83193, 37, 4489, 3883, 512, 83193, 37, 198, 1163, 8477, 25, 97265, 37], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(\u00acF))\n\nOptions:\n\u00acF\nChosen: \u00acF", "id": 154}, {"char_len": 2025, "tokens": [18902, 25, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 549, 595, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 4489, 3883, 512, 1209, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 549, 1192, 6774, 15, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 549, 595, 12264, 101, 320, 50, 75078, 549, 595, 12264, 101, 320, 83193, 52, 340, 7, 15, 75078, 220, 16, 8, 12264, 101, 1819, 50, 12264, 101, 549, 8, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 6054, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 549, 595, 12264, 101, 1819, 83193, 52, 8, 12264, 101, 320, 50, 75078, 549, 1192, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 549, 595, 12264, 101, 1819, 52, 75078, 328, 8, 12264, 101, 320, 83193, 52, 1192, 1209, 50, 12264, 101, 549, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 1192, 6774, 15, 75078, 220, 16, 8, 12264, 101, 328, 8, 12264, 101, 549, 8, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 1192, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 52, 12264, 101, 328, 595, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 1192, 7, 15, 12264, 101, 320, 50, 12264, 101, 549, 595, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 1192, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 50, 12264, 101, 549, 595, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 1192, 1163, 8477, 25, 320, 15, 75078, 220, 16, 8, 12264, 101, 1819, 50, 12264, 101, 549, 8, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 19789, 3883, 512, 1209, 50, 12264, 101, 549, 8, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 7861, 12264, 101, 320, 15, 75078, 220, 16, 340, 7, 15, 75078, 220, 16, 8, 12264, 101, 11861, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 595, 12264, 101, 320, 50, 12264, 101, 549, 1192, 7, 15, 75078, 220, 16, 8, 12264, 101, 11861, 50, 12264, 101, 549, 8, 12264, 101, 320, 50, 75078, 549, 595, 12264, 101, 320, 83193, 52, 1192, 7, 15, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 23631, 7, 15, 75078, 220, 16, 8, 12264, 101, 1819, 50, 12264, 101, 549, 8, 12264, 101, 1819, 83193, 52, 8, 12264, 101, 320, 50, 75078, 549, 6054, 7, 15, 75078, 220, 16, 8, 12264, 101, 1819, 50, 12264, 101, 549, 8, 12264, 101, 1819, 52, 75078, 328, 8, 12264, 101, 320, 83193, 52, 6054, 7, 15, 75078, 220, 16, 8, 12264, 101, 1819, 52, 12264, 101, 328, 8, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 6054, 15, 12264, 101, 1819, 50, 12264, 101, 549, 8, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 6054, 7, 16, 75078, 220, 15, 8, 12264, 101, 1819, 50, 12264, 101, 549, 8, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 6054, 1163, 8477, 25, 320, 15, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 58670, 3883, 512, 3844, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 26843, 12264, 101, 320, 15, 75078, 220, 16, 340, 1209, 15, 75078, 220, 16, 8, 12264, 101, 328, 8, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 6054, 7, 15, 75078, 220, 16, 8, 12264, 101, 1819, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 7861, 12264, 101, 328, 340, 7, 15, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 11861, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 595, 12264, 101, 549, 1192, 7, 15, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 1819, 52, 12264, 101, 320, 50, 75078, 549, 595, 12264, 101, 320, 83193, 52, 6054, 7, 15, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 83193, 52, 8, 12264, 101, 320, 50, 75078, 549, 23631, 7, 15, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 52, 75078, 328, 8, 12264, 101, 320, 83193, 52, 23631, 15, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 23631, 7, 16, 75078, 220, 15, 8, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 23631, 1163, 8477, 25, 320, 16, 75078, 220, 15, 8, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 58670, 3883, 512, 3844, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 26843, 12264, 101, 320, 16, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 12264, 101, 328, 8, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 6054, 7, 16, 75078, 220, 15, 8, 12264, 101, 1819, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 7861, 12264, 101, 328, 340, 7, 16, 75078, 220, 15, 8, 12264, 101, 1819, 50, 12264, 101, 549, 8, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 6054, 7, 16, 75078, 220, 15, 8, 12264, 101, 320, 50, 12264, 101, 11861, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 595, 12264, 101, 549, 1192, 7, 16, 75078, 220, 15, 8, 12264, 101, 320, 50, 12264, 101, 1819, 52, 12264, 101, 320, 50, 75078, 549, 595, 12264, 101, 320, 83193, 52, 6054, 7, 16, 75078, 220, 15, 8, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 83193, 52, 8, 12264, 101, 320, 50, 75078, 549, 23631, 7, 16, 75078, 220, 15, 8, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 52, 75078, 328, 8, 12264, 101, 320, 83193, 52, 23631, 15, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 23631, 1163, 8477, 25, 220, 15, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 58670, 3883, 512, 50, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 6054, 3844, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 26843, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 328, 8, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 6054, 15, 12264, 101, 1819, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 7861, 12264, 101, 328, 340, 15, 12264, 101, 1819, 50, 12264, 101, 549, 8, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 6054, 15, 12264, 101, 320, 50, 12264, 101, 11861, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 595, 12264, 101, 549, 1192, 15, 12264, 101, 320, 50, 12264, 101, 1819, 52, 12264, 101, 320, 50, 75078, 549, 595, 12264, 101, 320, 83193, 52, 6054, 15, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 83193, 52, 8, 12264, 101, 320, 50, 75078, 549, 23631, 15, 12264, 101, 320, 50, 12264, 101, 320, 52, 12264, 101, 1819, 52, 75078, 328, 8, 12264, 101, 320, 83193, 52, 23631, 1163, 8477, 25, 328, 12264, 101, 320, 52, 12264, 101, 1819, 50, 75078, 549, 8, 12264, 101, 320, 83193, 52, 7861], "tokenizer": "cl100k_base", "tokens_len": 1350, "data_type": "boolean", "txt": "Original: ((0 \u2227 1) \u2228 (S \u2228 U)) \u2228 ((S \u2227 U) \u2228 (\u00acU))\n\nOptions:\n((S \u2227 U) \u2228 (\u00acU)) \u2228 ((0 \u2227 1) \u2228 (S \u2228 U))\n(((0 \u2227 1) \u2228 (S \u2228 U)) \u2228 (S \u2227 U)) \u2228 (\u00acU)\n(0 \u2227 1) \u2228 ((S \u2228 U) \u2228 ((S \u2227 U) \u2228 (\u00acU)))\n((0 \u2227 1) \u2228 (S \u2228 U)) \u2228 ((\u00acU) \u2228 (S \u2227 U))\n((0 \u2227 1) \u2228 (S \u2228 U)) \u2228 ((U \u2227 S) \u2228 (\u00acU))\n((S \u2228 U) \u2228 (0 \u2227 1)) \u2228 ((S \u2227 U) \u2228 (\u00acU))\n(((0 \u2227 1) \u2228 S) \u2228 U) \u2228 ((S \u2227 U) \u2228 (\u00acU))\n((0 \u2227 1) \u2228 (U \u2228 S)) \u2228 ((S \u2227 U) \u2228 (\u00acU))\n(0 \u2228 (S \u2228 U)) \u2228 ((S \u2227 U) \u2228 (\u00acU))\n((1 \u2227 0) \u2228 (S \u2228 U)) \u2228 ((S \u2227 U) \u2228 (\u00acU))\nChosen: (0 \u2227 1) \u2228 ((S \u2228 U) \u2228 ((S \u2227 U) \u2228 (\u00acU)))\n\nOptions:\n((S \u2228 U) \u2228 ((S \u2227 U) \u2228 (\u00acU))) \u2228 (0 \u2227 1)\n(0 \u2227 1) \u2228 (((S \u2227 U) \u2228 (\u00acU)) \u2228 (S \u2228 U))\n(0 \u2227 1) \u2228 (((S \u2228 U) \u2228 (S \u2227 U)) \u2228 (\u00acU))\n(0 \u2227 1) \u2228 (S \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU))))\n(0 \u2227 1) \u2228 ((S \u2228 U) \u2228 ((\u00acU) \u2228 (S \u2227 U)))\n(0 \u2227 1) \u2228 ((S \u2228 U) \u2228 ((U \u2227 S) \u2228 (\u00acU)))\n(0 \u2227 1) \u2228 ((U \u2228 S) \u2228 ((S \u2227 U) \u2228 (\u00acU)))\n0 \u2228 ((S \u2228 U) \u2228 ((S \u2227 U) \u2228 (\u00acU)))\n(1 \u2227 0) \u2228 ((S \u2228 U) \u2228 ((S \u2227 U) \u2228 (\u00acU)))\nChosen: (0 \u2227 1) \u2228 (S \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU))))\n\nOptions:\n(S \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU)))) \u2228 (0 \u2227 1)\n((0 \u2227 1) \u2228 S) \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU)))\n(0 \u2227 1) \u2228 ((U \u2228 ((S \u2227 U) \u2228 (\u00acU))) \u2228 S)\n(0 \u2227 1) \u2228 (S \u2228 (((S \u2227 U) \u2228 (\u00acU)) \u2228 U))\n(0 \u2227 1) \u2228 (S \u2228 ((U \u2228 (S \u2227 U)) \u2228 (\u00acU)))\n(0 \u2227 1) \u2228 (S \u2228 (U \u2228 ((\u00acU) \u2228 (S \u2227 U))))\n(0 \u2227 1) \u2228 (S \u2228 (U \u2228 ((U \u2227 S) \u2228 (\u00acU))))\n0 \u2228 (S \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU))))\n(1 \u2227 0) \u2228 (S \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU))))\nChosen: (1 \u2227 0) \u2228 (S \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU))))\n\nOptions:\n(S \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU)))) \u2228 (1 \u2227 0)\n((1 \u2227 0) \u2228 S) \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU)))\n(1 \u2227 0) \u2228 ((U \u2228 ((S \u2227 U) \u2228 (\u00acU))) \u2228 S)\n(1 \u2227 0) \u2228 ((S \u2228 U) \u2228 ((S \u2227 U) \u2228 (\u00acU)))\n(1 \u2227 0) \u2228 (S \u2228 (((S \u2227 U) \u2228 (\u00acU)) \u2228 U))\n(1 \u2227 0) \u2228 (S \u2228 ((U \u2228 (S \u2227 U)) \u2228 (\u00acU)))\n(1 \u2227 0) \u2228 (S \u2228 (U \u2228 ((\u00acU) \u2228 (S \u2227 U))))\n(1 \u2227 0) \u2228 (S \u2228 (U \u2228 ((U \u2227 S) \u2228 (\u00acU))))\n0 \u2228 (S \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU))))\nChosen: 0 \u2228 (S \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU))))\n\nOptions:\nS \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU)))\n(S \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU)))) \u2228 0\n(0 \u2228 S) \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU)))\n0 \u2228 ((U \u2228 ((S \u2227 U) \u2228 (\u00acU))) \u2228 S)\n0 \u2228 ((S \u2228 U) \u2228 ((S \u2227 U) \u2228 (\u00acU)))\n0 \u2228 (S \u2228 (((S \u2227 U) \u2228 (\u00acU)) \u2228 U))\n0 \u2228 (S \u2228 ((U \u2228 (S \u2227 U)) \u2228 (\u00acU)))\n0 \u2228 (S \u2228 (U \u2228 ((\u00acU) \u2228 (S \u2227 U))))\n0 \u2228 (S \u2228 (U \u2228 ((U \u2227 S) \u2228 (\u00acU))))\nChosen: S \u2228 (U \u2228 ((S \u2227 U) \u2228 (\u00acU)))", "id": 155}, {"char_len": 1454, "tokens": [18902, 25, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 6054, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 11861, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 11861, 16, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 7861, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 7, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 15, 696, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 15, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 11861, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 15, 198, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 15, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 1209, 83193, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 7861, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 7, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 15, 271, 3883, 512, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 340, 15, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 15, 340, 1209, 83193, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 7861, 12264, 101, 220, 15, 198, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 198, 7, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 15, 198, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 320, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 15, 271, 3883, 512, 16, 12264, 101, 320, 83193, 15, 340, 15, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 1192, 16, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 15, 340, 16, 12264, 101, 220, 15, 198, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 198, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 198, 1163, 8477, 25, 220, 16, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 15, 696, 3883, 512, 16, 198, 1209, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 198, 16, 12264, 101, 320, 83193, 15, 340, 16, 12264, 101, 220, 16, 198, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 1192, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1163, 8477, 25, 220, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 1092, "data_type": "boolean", "txt": "Original: ((0 \u2228 1) \u2228 (\u00ac0)) \u2228 ((1 \u2228 0) \u2227 (1 \u2227 0))\n\nOptions:\n((1 \u2228 0) \u2227 (1 \u2227 0)) \u2228 ((0 \u2228 1) \u2228 (\u00ac0))\n(0 \u2228 1) \u2228 ((\u00ac0) \u2228 ((1 \u2228 0) \u2227 (1 \u2227 0)))\n(((0 \u2228 1) \u2228 (\u00ac0)) \u2228 (1 \u2228 0)) \u2227 (((0 \u2228 1) \u2228 (\u00ac0)) \u2228 (1 \u2227 0))\n((0 \u2228 1) \u2228 (\u00ac0)) \u2228 ((1 \u2227 0) \u2227 (1 \u2228 0))\n((0 \u2228 1) \u2228 (\u00ac0)) \u2228 (((1 \u2228 0) \u2227 1) \u2227 0)\n((0 \u2228 1) \u2228 (\u00ac0)) \u2228 ((1 \u2228 0) \u2227 0)\n((0 \u2228 1) \u2228 (\u00ac0)) \u2228 ((1 \u2228 0) \u2227 (0 \u2227 1))\n((0 \u2228 1) \u2228 (\u00ac0)) \u2228 (1 \u2227 (1 \u2227 0))\n((0 \u2228 1) \u2228 (\u00ac0)) \u2228 ((0 \u2228 1) \u2227 (1 \u2227 0))\n((\u00ac0) \u2228 (0 \u2228 1)) \u2228 ((1 \u2228 0) \u2227 (1 \u2227 0))\n(0 \u2228 (1 \u2228 (\u00ac0))) \u2228 ((1 \u2228 0) \u2227 (1 \u2227 0))\n((0 \u2228 1) \u2228 1) \u2228 ((1 \u2228 0) \u2227 (1 \u2227 0))\n(1 \u2228 (\u00ac0)) \u2228 ((1 \u2228 0) \u2227 (1 \u2227 0))\n((1 \u2228 0) \u2228 (\u00ac0)) \u2228 ((1 \u2228 0) \u2227 (1 \u2227 0))\nChosen: ((0 \u2228 1) \u2228 (\u00ac0)) \u2228 ((1 \u2228 0) \u2227 0)\n\nOptions:\n((1 \u2228 0) \u2227 0) \u2228 ((0 \u2228 1) \u2228 (\u00ac0))\n(0 \u2228 1) \u2228 ((\u00ac0) \u2228 ((1 \u2228 0) \u2227 0))\n(((0 \u2228 1) \u2228 (\u00ac0)) \u2228 (1 \u2228 0)) \u2227 (((0 \u2228 1) \u2228 (\u00ac0)) \u2228 0)\n((0 \u2228 1) \u2228 (\u00ac0)) \u2228 0\n((0 \u2228 1) \u2228 (\u00ac0)) \u2228 (0 \u2227 (1 \u2228 0))\n((0 \u2228 1) \u2228 (\u00ac0)) \u2228 (1 \u2227 0)\n((0 \u2228 1) \u2228 (\u00ac0)) \u2228 ((0 \u2228 1) \u2227 0)\n((\u00ac0) \u2228 (0 \u2228 1)) \u2228 ((1 \u2228 0) \u2227 0)\n(0 \u2228 (1 \u2228 (\u00ac0))) \u2228 ((1 \u2228 0) \u2227 0)\n((0 \u2228 1) \u2228 1) \u2228 ((1 \u2228 0) \u2227 0)\n(1 \u2228 (\u00ac0)) \u2228 ((1 \u2228 0) \u2227 0)\n((1 \u2228 0) \u2228 (\u00ac0)) \u2228 ((1 \u2228 0) \u2227 0)\nChosen: ((0 \u2228 1) \u2228 (\u00ac0)) \u2228 0\n\nOptions:\n(0 \u2228 1) \u2228 (\u00ac0)\n0 \u2228 ((0 \u2228 1) \u2228 (\u00ac0))\n(0 \u2228 1) \u2228 ((\u00ac0) \u2228 0)\n((\u00ac0) \u2228 (0 \u2228 1)) \u2228 0\n(0 \u2228 (1 \u2228 (\u00ac0))) \u2228 0\n((0 \u2228 1) \u2228 1) \u2228 0\n(1 \u2228 (\u00ac0)) \u2228 0\n((1 \u2228 0) \u2228 (\u00ac0)) \u2228 0\nChosen: (1 \u2228 (\u00ac0)) \u2228 0\n\nOptions:\n1 \u2228 (\u00ac0)\n0 \u2228 (1 \u2228 (\u00ac0))\n1 \u2228 ((\u00ac0) \u2228 0)\n1 \u2228 0\n((\u00ac0) \u2228 1) \u2228 0\n(1 \u2228 1) \u2228 0\nChosen: 1 \u2228 ((\u00ac0) \u2228 0)\n\nOptions:\n1\n((\u00ac0) \u2228 0) \u2228 1\n1 \u2228 (\u00ac0)\n1 \u2228 1\n1 \u2228 (0 \u2228 (\u00ac0))\n1 \u2228 (1 \u2228 0)\nChosen: 1 \u2228 (1 \u2228 0)", "id": 156}, {"char_len": 714, "tokens": [18902, 25, 320, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 7, 15, 75078, 473, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 473, 595, 75078, 320, 83193, 7, 83193, 39, 1192, 7, 83193, 7, 83193, 39, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 39, 1192, 7, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 15, 340, 7, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 7, 39, 75078, 220, 15, 1192, 39, 75078, 320, 83193, 7, 15, 75078, 473, 1192, 1163, 8477, 25, 473, 75078, 320, 83193, 7, 15, 75078, 473, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 473, 595, 75078, 473, 198, 39, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 39, 1192, 39, 75078, 320, 83193, 15, 340, 39, 75078, 320, 83193, 7, 39, 75078, 220, 15, 1192, 1163, 8477, 25, 473, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 39, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 39, 595, 75078, 473, 198, 11135, 75078, 320, 83193, 15, 595, 12264, 101, 320, 39, 75078, 320, 83193, 39, 1192, 39, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 83193, 15, 1192, 39, 75078, 320, 16, 12264, 101, 320, 83193, 39, 1192, 1163, 8477, 25, 320, 39, 75078, 320, 83193, 15, 595, 12264, 101, 320, 39, 75078, 320, 83193, 39, 4489, 3883, 512, 11135, 75078, 320, 83193, 39, 595, 12264, 101, 320, 39, 75078, 320, 83193, 15, 1192, 1209, 39, 75078, 320, 83193, 15, 595, 12264, 101, 473, 8, 75078, 1819, 39, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 39, 1192, 11135, 75078, 320, 83193, 15, 595, 12264, 101, 220, 15, 198, 11135, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 39, 8, 75078, 473, 340, 1209, 83193, 15, 8, 75078, 473, 8, 12264, 101, 320, 39, 75078, 320, 83193, 39, 1192, 11135, 75078, 220, 16, 8, 12264, 101, 320, 39, 75078, 320, 83193, 39, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 473, 8, 12264, 101, 320, 39, 75078, 320, 83193, 39, 4489, 3883, 512, 11135, 75078, 320, 83193, 39, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 473, 340, 6774, 83193, 15, 8, 75078, 473, 8, 12264, 101, 473, 8, 75078, 11861, 83193, 15, 8, 75078, 473, 8, 12264, 101, 320, 83193, 39, 1192, 1209, 83193, 15, 8, 75078, 473, 8, 12264, 101, 220, 15, 198, 1209, 83193, 15, 8, 75078, 473, 8, 12264, 101, 1819, 83193, 39, 8, 75078, 473, 340, 7, 16, 75078, 473, 8, 12264, 101, 320, 39, 75078, 320, 83193, 39, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 473, 8, 12264, 101, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 437, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acH)) \u2227 (\u00ac(0 \u2227 H))\n\nOptions:\n(\u00ac(0 \u2227 H)) \u2227 (\u00ac(\u00acH))\n(\u00ac(\u00acH)) \u2227 ((\u00ac0) \u2228 (\u00acH))\n(\u00ac(\u00acH)) \u2227 (\u00ac0)\n(\u00ac(\u00acH)) \u2227 (\u00ac(H \u2227 0))\nH \u2227 (\u00ac(0 \u2227 H))\nChosen: H \u2227 (\u00ac(0 \u2227 H))\n\nOptions:\n(\u00ac(0 \u2227 H)) \u2227 H\nH \u2227 ((\u00ac0) \u2228 (\u00acH))\nH \u2227 (\u00ac0)\nH \u2227 (\u00ac(H \u2227 0))\nChosen: H \u2227 ((\u00ac0) \u2228 (\u00acH))\n\nOptions:\n((\u00ac0) \u2228 (\u00acH)) \u2227 H\n(H \u2227 (\u00ac0)) \u2228 (H \u2227 (\u00acH))\nH \u2227 ((\u00acH) \u2228 (\u00ac0))\nH \u2227 (1 \u2228 (\u00acH))\nChosen: (H \u2227 (\u00ac0)) \u2228 (H \u2227 (\u00acH))\n\nOptions:\n(H \u2227 (\u00acH)) \u2228 (H \u2227 (\u00ac0))\n((H \u2227 (\u00ac0)) \u2228 H) \u2227 ((H \u2227 (\u00ac0)) \u2228 (\u00acH))\n(H \u2227 (\u00ac0)) \u2228 0\n(H \u2227 (\u00ac0)) \u2228 ((\u00acH) \u2227 H)\n((\u00ac0) \u2227 H) \u2228 (H \u2227 (\u00acH))\n(H \u2227 1) \u2228 (H \u2227 (\u00acH))\nChosen: ((\u00ac0) \u2227 H) \u2228 (H \u2227 (\u00acH))\n\nOptions:\n(H \u2227 (\u00acH)) \u2228 ((\u00ac0) \u2227 H)\n(((\u00ac0) \u2227 H) \u2228 H) \u2227 (((\u00ac0) \u2227 H) \u2228 (\u00acH))\n((\u00ac0) \u2227 H) \u2228 0\n((\u00ac0) \u2227 H) \u2228 ((\u00acH) \u2227 H)\n(1 \u2227 H) \u2228 (H \u2227 (\u00acH))\nChosen: ((\u00ac0) \u2227 H) \u2228 0", "id": 157}, {"char_len": 346, "tokens": [18902, 25, 97265, 1209, 83193, 40, 8, 12264, 101, 320, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 40, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 83193, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 40, 1192, 83193, 6774, 83193, 40, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 40, 8, 12264, 101, 220, 16, 1192, 83193, 1209, 83193, 40, 8, 12264, 101, 220, 15, 340, 83193, 1209, 83193, 40, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 83193, 40, 8, 12264, 101, 320, 16, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 40, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 83193, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 40, 1192, 83193, 6774, 83193, 40, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 40, 8, 12264, 101, 220, 15, 1192, 83193, 1209, 83193, 40, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 1209, 83193, 40, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 83193, 40, 595, 75078, 320, 83193, 15, 340, 83193, 7, 83193, 40, 340, 83193, 7, 15, 12264, 101, 320, 83193, 40, 1192, 1163, 8477, 25, 97265, 7, 83193, 40, 696, 3883, 512, 40, 198, 1163, 8477, 25, 358], "tokenizer": "cl100k_base", "tokens_len": 220, "data_type": "boolean", "txt": "Original: \u00ac((\u00acI) \u2228 (0 \u2227 1))\n\nOptions:\n(\u00ac(\u00acI)) \u2227 (\u00ac(0 \u2227 1))\n\u00ac((0 \u2227 1) \u2228 (\u00acI))\n\u00ac(((\u00acI) \u2228 0) \u2227 ((\u00acI) \u2228 1))\n\u00ac((\u00acI) \u2228 0)\n\u00ac((\u00acI) \u2228 (1 \u2227 0))\nChosen: \u00ac((\u00acI) \u2228 (1 \u2227 0))\n\nOptions:\n(\u00ac(\u00acI)) \u2227 (\u00ac(1 \u2227 0))\n\u00ac((1 \u2227 0) \u2228 (\u00acI))\n\u00ac(((\u00acI) \u2228 1) \u2227 ((\u00acI) \u2228 0))\n\u00ac((\u00acI) \u2228 0)\nChosen: \u00ac((\u00acI) \u2228 0)\n\nOptions:\n(\u00ac(\u00acI)) \u2227 (\u00ac0)\n\u00ac(\u00acI)\n\u00ac(0 \u2228 (\u00acI))\nChosen: \u00ac(\u00acI)\n\nOptions:\nI\nChosen: I", "id": 158}, {"char_len": 181, "tokens": [18902, 25, 320, 83193, 7, 83193, 42, 595, 75078, 320, 83193, 7, 83193, 42, 4489, 3883, 512, 7, 83193, 7, 83193, 42, 595, 75078, 735, 198, 42, 75078, 320, 83193, 7, 83193, 42, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 42, 595, 75078, 735, 271, 3883, 512, 42, 75078, 320, 83193, 7, 83193, 42, 1192, 42, 75078, 735, 198, 1163, 8477, 25, 735, 75078, 320, 83193, 7, 83193, 42, 4489, 3883, 512, 42, 75078, 735, 198, 1163, 8477, 25, 735, 75078, 735, 271, 3883, 512, 42, 198, 1163, 8477, 25, 735], "tokenizer": "cl100k_base", "tokens_len": 92, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acK)) \u2227 (\u00ac(\u00acK))\n\nOptions:\n(\u00ac(\u00acK)) \u2227 K\nK \u2227 (\u00ac(\u00acK))\nChosen: (\u00ac(\u00acK)) \u2227 K\n\nOptions:\nK \u2227 (\u00ac(\u00acK))\nK \u2227 K\nChosen: K \u2227 (\u00ac(\u00acK))\n\nOptions:\nK \u2227 K\nChosen: K \u2227 K\n\nOptions:\nK\nChosen: K", "id": 159}, {"char_len": 112, "tokens": [18902, 25, 97265, 7, 83193, 7, 16, 12264, 101, 549, 4489, 3883, 512, 16, 12264, 101, 549, 198, 83193, 1209, 83193, 16, 8, 75078, 320, 83193, 52, 1192, 83193, 7, 83193, 16, 340, 83193, 7, 83193, 7, 52, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 549, 271, 3883, 512, 16, 198, 52, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 67, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(1 \u2228 U))\n\nOptions:\n1 \u2228 U\n\u00ac((\u00ac1) \u2227 (\u00acU))\n\u00ac(\u00ac1)\n\u00ac(\u00ac(U \u2228 1))\nChosen: 1 \u2228 U\n\nOptions:\n1\nU \u2228 1\nChosen: 1", "id": 160}, {"char_len": 606, "tokens": [18902, 25, 320, 83193, 7, 33, 75078, 426, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 7, 33, 75078, 426, 1192, 1209, 83193, 7, 33, 75078, 426, 595, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 7, 33, 75078, 426, 595, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 33, 75078, 426, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 33, 75078, 426, 595, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 33, 8, 12264, 101, 320, 83193, 33, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 33, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 7, 33, 75078, 426, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 33, 8, 12264, 101, 320, 83193, 33, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 33, 340, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 33, 75078, 426, 1192, 7, 16, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 7, 33, 75078, 426, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 33, 696, 3883, 512, 7, 83193, 33, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 33, 340, 7, 16, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 33, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 33, 696, 3883, 512, 7, 83193, 33, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 340, 16, 75078, 320, 83193, 33, 340, 7, 16, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 33, 340, 7, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 33, 340, 1163, 8477, 25, 220, 16, 75078, 320, 83193, 33, 696, 3883, 512, 83193, 33, 198, 7, 83193, 33, 8, 75078, 220, 16, 198, 1163, 8477, 25, 320, 83193, 33, 8, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 386, "data_type": "boolean", "txt": "Original: (\u00ac(B \u2227 B)) \u2227 ((\u00ac0) \u2228 (\u00ac0))\n\nOptions:\n((\u00ac0) \u2228 (\u00ac0)) \u2227 (\u00ac(B \u2227 B))\n((\u00ac(B \u2227 B)) \u2227 (\u00ac0)) \u2228 ((\u00ac(B \u2227 B)) \u2227 (\u00ac0))\n(\u00ac(B \u2227 B)) \u2227 ((\u00ac0) \u2228 1)\n(\u00ac(B \u2227 B)) \u2227 (1 \u2228 (\u00ac0))\n((\u00acB) \u2228 (\u00acB)) \u2227 ((\u00ac0) \u2228 (\u00ac0))\n(\u00acB) \u2227 ((\u00ac0) \u2228 (\u00ac0))\nChosen: ((\u00ac0) \u2228 (\u00ac0)) \u2227 (\u00ac(B \u2227 B))\n\nOptions:\n((\u00ac0) \u2228 (\u00ac0)) \u2227 ((\u00acB) \u2228 (\u00acB))\n((\u00ac0) \u2228 (\u00ac0)) \u2227 (\u00acB)\n((\u00ac0) \u2228 1) \u2227 (\u00ac(B \u2227 B))\n(1 \u2228 (\u00ac0)) \u2227 (\u00ac(B \u2227 B))\nChosen: ((\u00ac0) \u2228 (\u00ac0)) \u2227 (\u00acB)\n\nOptions:\n(\u00acB) \u2227 ((\u00ac0) \u2228 (\u00ac0))\n((\u00ac0) \u2228 1) \u2227 (\u00acB)\n(1 \u2228 (\u00ac0)) \u2227 (\u00acB)\nChosen: ((\u00ac0) \u2228 1) \u2227 (\u00acB)\n\nOptions:\n(\u00acB) \u2227 ((\u00ac0) \u2228 1)\n1 \u2227 (\u00acB)\n(1 \u2228 (\u00ac0)) \u2227 (\u00acB)\n(1 \u2228 1) \u2227 (\u00acB)\nChosen: 1 \u2227 (\u00acB)\n\nOptions:\n\u00acB\n(\u00acB) \u2227 1\nChosen: (\u00acB) \u2227 1", "id": 161}, {"char_len": 906, "tokens": [18902, 25, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 320, 83193, 7, 42, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 42, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 45, 1192, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 1819, 83193, 42, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 320, 83193, 42, 340, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 320, 83193, 7, 15, 12264, 101, 735, 1192, 1209, 83193, 45, 8, 12264, 101, 320, 83193, 42, 595, 75078, 320, 83193, 7, 42, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 1819, 83193, 42, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 42, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 45, 1192, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 320, 83193, 42, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 1819, 83193, 42, 8, 75078, 220, 16, 340, 1209, 83193, 45, 8, 12264, 101, 320, 83193, 42, 595, 75078, 1819, 83193, 42, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 42, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 83193, 42, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 45, 1192, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 42, 340, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 320, 16, 75078, 320, 83193, 42, 1192, 1209, 83193, 45, 8, 12264, 101, 320, 83193, 42, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 42, 1192, 1163, 8477, 25, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 42, 696, 3883, 512, 7, 83193, 42, 8, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 320, 83193, 15, 1192, 1209, 83193, 15, 8, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 45, 7861, 75078, 320, 83193, 42, 340, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 45, 595, 75078, 220, 16, 8, 75078, 320, 83193, 42, 340, 6774, 83193, 45, 8, 12264, 101, 320, 83193, 42, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 42, 340, 1163, 8477, 25, 11861, 83193, 45, 8, 12264, 101, 320, 83193, 42, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 42, 696, 3883, 512, 7, 83193, 42, 8, 75078, 11861, 83193, 45, 8, 12264, 101, 320, 83193, 42, 595, 75078, 320, 83193, 15, 1192, 1209, 83193, 45, 8, 12264, 101, 320, 83193, 42, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 42, 1192, 1209, 83193, 15, 8, 75078, 1819, 83193, 45, 8, 12264, 101, 320, 83193, 42, 7861, 75078, 320, 83193, 42, 340, 6774, 83193, 45, 8, 12264, 101, 320, 83193, 42, 595, 75078, 220, 16, 8, 75078, 320, 83193, 42, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 1819, 83193, 45, 8, 12264, 101, 320, 83193, 42, 7861, 75078, 320, 83193, 42, 8], "tokenizer": "cl100k_base", "tokens_len": 576, "data_type": "boolean", "txt": "Original: ((\u00acK) \u2228 (\u00acN)) \u2227 (\u00ac(K \u2228 0))\n\nOptions:\n(\u00ac(K \u2228 0)) \u2227 ((\u00acK) \u2228 (\u00acN))\n((\u00acK) \u2228 (\u00acN)) \u2227 ((\u00acK) \u2227 (\u00ac0))\n((\u00acK) \u2228 (\u00acN)) \u2227 (\u00acK)\n((\u00acK) \u2228 (\u00acN)) \u2227 (\u00ac(0 \u2228 K))\n((\u00acN) \u2228 (\u00acK)) \u2227 (\u00ac(K \u2228 0))\nChosen: ((\u00acK) \u2228 (\u00acN)) \u2227 ((\u00acK) \u2227 (\u00ac0))\n\nOptions:\n((\u00acK) \u2227 (\u00ac0)) \u2227 ((\u00acK) \u2228 (\u00acN))\n(((\u00acK) \u2228 (\u00acN)) \u2227 (\u00acK)) \u2227 (\u00ac0)\n((\u00acK) \u2228 (\u00acN)) \u2227 ((\u00ac0) \u2227 (\u00acK))\n((\u00acK) \u2228 (\u00acN)) \u2227 ((\u00acK) \u2227 1)\n((\u00acN) \u2228 (\u00acK)) \u2227 ((\u00acK) \u2227 (\u00ac0))\nChosen: ((\u00acK) \u2228 (\u00acN)) \u2227 ((\u00ac0) \u2227 (\u00acK))\n\nOptions:\n((\u00ac0) \u2227 (\u00acK)) \u2227 ((\u00acK) \u2228 (\u00acN))\n(((\u00acK) \u2228 (\u00acN)) \u2227 (\u00ac0)) \u2227 (\u00acK)\n((\u00acK) \u2228 (\u00acN)) \u2227 (1 \u2227 (\u00acK))\n((\u00acN) \u2228 (\u00acK)) \u2227 ((\u00ac0) \u2227 (\u00acK))\nChosen: (((\u00acK) \u2228 (\u00acN)) \u2227 (\u00ac0)) \u2227 (\u00acK)\n\nOptions:\n(\u00acK) \u2227 (((\u00acK) \u2228 (\u00acN)) \u2227 (\u00ac0))\n((\u00ac0) \u2227 ((\u00acK) \u2228 (\u00acN))) \u2227 (\u00acK)\n(((\u00acK) \u2228 (\u00acN)) \u2227 1) \u2227 (\u00acK)\n(((\u00acN) \u2228 (\u00acK)) \u2227 (\u00ac0)) \u2227 (\u00acK)\nChosen: (((\u00acN) \u2228 (\u00acK)) \u2227 (\u00ac0)) \u2227 (\u00acK)\n\nOptions:\n(\u00acK) \u2227 (((\u00acN) \u2228 (\u00acK)) \u2227 (\u00ac0))\n((\u00acN) \u2228 (\u00acK)) \u2227 ((\u00ac0) \u2227 (\u00acK))\n((\u00ac0) \u2227 ((\u00acN) \u2228 (\u00acK))) \u2227 (\u00acK)\n(((\u00acN) \u2228 (\u00acK)) \u2227 1) \u2227 (\u00acK)\nChosen: ((\u00ac0) \u2227 ((\u00acN) \u2228 (\u00acK))) \u2227 (\u00acK)", "id": 162}, {"char_len": 232, "tokens": [18902, 25, 97265, 1209, 83193, 44, 8, 12264, 101, 320, 83193, 44, 4489, 3883, 512, 7, 83193, 7, 83193, 44, 595, 75078, 320, 83193, 7, 83193, 44, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 44, 595, 75078, 320, 83193, 7, 83193, 44, 4489, 3883, 512, 7, 83193, 7, 83193, 44, 595, 75078, 386, 198, 44, 75078, 320, 83193, 7, 83193, 44, 1192, 1163, 8477, 25, 386, 75078, 320, 83193, 7, 83193, 44, 4489, 3883, 512, 7, 83193, 7, 83193, 44, 595, 75078, 386, 198, 44, 75078, 386, 198, 1163, 8477, 25, 320, 83193, 7, 83193, 44, 595, 75078, 386, 271, 3883, 512, 44, 75078, 386, 198, 1163, 8477, 25, 386, 75078, 386, 271, 3883, 512, 44, 198, 1163, 8477, 25, 386], "tokenizer": "cl100k_base", "tokens_len": 122, "data_type": "boolean", "txt": "Original: \u00ac((\u00acM) \u2228 (\u00acM))\n\nOptions:\n(\u00ac(\u00acM)) \u2227 (\u00ac(\u00acM))\nChosen: (\u00ac(\u00acM)) \u2227 (\u00ac(\u00acM))\n\nOptions:\n(\u00ac(\u00acM)) \u2227 M\nM \u2227 (\u00ac(\u00acM))\nChosen: M \u2227 (\u00ac(\u00acM))\n\nOptions:\n(\u00ac(\u00acM)) \u2227 M\nM \u2227 M\nChosen: (\u00ac(\u00acM)) \u2227 M\n\nOptions:\nM \u2227 M\nChosen: M \u2227 M\n\nOptions:\nM\nChosen: M", "id": 163}, {"char_len": 1885, "tokens": [18902, 25, 1819, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 1192, 6774, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 7, 83193, 40, 8, 12264, 101, 1819, 40, 75078, 480, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 6054, 1209, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 16, 340, 1209, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 1209, 40, 75078, 480, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 6774, 83193, 40, 8, 12264, 101, 358, 8, 75078, 1819, 83193, 40, 8, 12264, 101, 480, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 40, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 11861, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 696, 3883, 512, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 11861, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 15, 1192, 67944, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 6774, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 16, 198, 1209, 83193, 15, 8, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 7861, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 1209, 83193, 40, 8, 12264, 101, 1819, 40, 75078, 480, 8, 12264, 101, 320, 83193, 15, 7861, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 6774, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 6774, 40, 75078, 480, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 67944, 83193, 40, 8, 12264, 101, 358, 8, 75078, 1819, 83193, 40, 8, 12264, 101, 480, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 6774, 83193, 40, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 1163, 8477, 25, 11861, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 696, 3883, 512, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 11861, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 340, 67944, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 1209, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 6774, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 16, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 7861, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 1209, 83193, 40, 8, 12264, 101, 1819, 40, 75078, 480, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 6774, 40, 75078, 480, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 67944, 83193, 40, 8, 12264, 101, 358, 8, 75078, 1819, 83193, 40, 8, 12264, 101, 480, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 6774, 83193, 40, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 1163, 8477, 25, 52200, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 52200, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 16, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 11861, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 198, 6774, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 1209, 16, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 7861, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 6774, 83193, 40, 8, 12264, 101, 1819, 40, 75078, 480, 8, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 67944, 40, 75078, 480, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 1209, 6774, 83193, 40, 8, 12264, 101, 358, 8, 75078, 1819, 83193, 40, 8, 12264, 101, 480, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 67944, 83193, 40, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16, 12264, 101, 52200, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 696, 3883, 512, 16, 198, 7, 16, 12264, 101, 11861, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 198, 16, 12264, 101, 220, 16, 198, 16, 12264, 101, 320, 16, 12264, 101, 11861, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 1192, 16, 12264, 101, 11861, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 16, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 16, 12264, 101, 1819, 16, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 7861, 12264, 101, 220, 16, 340, 16, 12264, 101, 11861, 83193, 40, 8, 12264, 101, 1819, 40, 75078, 480, 8, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 340, 16, 12264, 101, 52200, 40, 75078, 480, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 16, 12264, 101, 11861, 1209, 83193, 40, 8, 12264, 101, 358, 8, 75078, 1819, 83193, 40, 8, 12264, 101, 480, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 16, 12264, 101, 52200, 83193, 40, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 16, 12264, 101, 11861, 83193, 40, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 220, 16, 595, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1357, "data_type": "boolean", "txt": "Original: ((\u00acI) \u2228 (I \u2227 G)) \u2228 ((\u00ac0) \u2228 (1 \u2228 1))\n\nOptions:\n((\u00ac0) \u2228 (1 \u2228 1)) \u2228 ((\u00acI) \u2228 (I \u2227 G))\n(((\u00acI) \u2228 (I \u2227 G)) \u2228 (\u00ac0)) \u2228 (1 \u2228 1)\n(\u00acI) \u2228 ((I \u2227 G) \u2228 ((\u00ac0) \u2228 (1 \u2228 1)))\n((\u00acI) \u2228 (I \u2227 G)) \u2228 ((1 \u2228 1) \u2228 (\u00ac0))\n((\u00acI) \u2228 (I \u2227 G)) \u2228 (((\u00ac0) \u2228 1) \u2228 1)\n((\u00acI) \u2228 (I \u2227 G)) \u2228 ((\u00ac0) \u2228 1)\n((\u00acI) \u2228 (I \u2227 G)) \u2228 (1 \u2228 (1 \u2228 1))\n((I \u2227 G) \u2228 (\u00acI)) \u2228 ((\u00ac0) \u2228 (1 \u2228 1))\n(((\u00acI) \u2228 I) \u2227 ((\u00acI) \u2228 G)) \u2228 ((\u00ac0) \u2228 (1 \u2228 1))\n((\u00acI) \u2228 (G \u2227 I)) \u2228 ((\u00ac0) \u2228 (1 \u2228 1))\nChosen: (((\u00acI) \u2228 (I \u2227 G)) \u2228 (\u00ac0)) \u2228 (1 \u2228 1)\n\nOptions:\n(1 \u2228 1) \u2228 (((\u00acI) \u2228 (I \u2227 G)) \u2228 (\u00ac0))\n((((\u00acI) \u2228 (I \u2227 G)) \u2228 (\u00ac0)) \u2228 1) \u2228 1\n(((\u00acI) \u2228 (I \u2227 G)) \u2228 (\u00ac0)) \u2228 1\n((\u00ac0) \u2228 ((\u00acI) \u2228 (I \u2227 G))) \u2228 (1 \u2228 1)\n((\u00acI) \u2228 ((I \u2227 G) \u2228 (\u00ac0))) \u2228 (1 \u2228 1)\n(((\u00acI) \u2228 (I \u2227 G)) \u2228 1) \u2228 (1 \u2228 1)\n(((I \u2227 G) \u2228 (\u00acI)) \u2228 (\u00ac0)) \u2228 (1 \u2228 1)\n((((\u00acI) \u2228 I) \u2227 ((\u00acI) \u2228 G)) \u2228 (\u00ac0)) \u2228 (1 \u2228 1)\n(((\u00acI) \u2228 (G \u2227 I)) \u2228 (\u00ac0)) \u2228 (1 \u2228 1)\nChosen: (((\u00acI) \u2228 (I \u2227 G)) \u2228 1) \u2228 (1 \u2228 1)\n\nOptions:\n(1 \u2228 1) \u2228 (((\u00acI) \u2228 (I \u2227 G)) \u2228 1)\n((((\u00acI) \u2228 (I \u2227 G)) \u2228 1) \u2228 1) \u2228 1\n((\u00acI) \u2228 (I \u2227 G)) \u2228 (1 \u2228 (1 \u2228 1))\n(((\u00acI) \u2228 (I \u2227 G)) \u2228 1) \u2228 1\n1 \u2228 (1 \u2228 1)\n(1 \u2228 ((\u00acI) \u2228 (I \u2227 G))) \u2228 (1 \u2228 1)\n((\u00acI) \u2228 ((I \u2227 G) \u2228 1)) \u2228 (1 \u2228 1)\n(((I \u2227 G) \u2228 (\u00acI)) \u2228 1) \u2228 (1 \u2228 1)\n((((\u00acI) \u2228 I) \u2227 ((\u00acI) \u2228 G)) \u2228 1) \u2228 (1 \u2228 1)\n(((\u00acI) \u2228 (G \u2227 I)) \u2228 1) \u2228 (1 \u2228 1)\nChosen: ((((\u00acI) \u2228 (I \u2227 G)) \u2228 1) \u2228 1) \u2228 1\n\nOptions:\n1\n1 \u2228 ((((\u00acI) \u2228 (I \u2227 G)) \u2228 1) \u2228 1)\n1 \u2228 1\n(1 \u2228 (((\u00acI) \u2228 (I \u2227 G)) \u2228 1)) \u2228 1\n(((\u00acI) \u2228 (I \u2227 G)) \u2228 (1 \u2228 1)) \u2228 1\n(1 \u2228 1) \u2228 1\n((1 \u2228 ((\u00acI) \u2228 (I \u2227 G))) \u2228 1) \u2228 1\n(((\u00acI) \u2228 ((I \u2227 G) \u2228 1)) \u2228 1) \u2228 1\n((((I \u2227 G) \u2228 (\u00acI)) \u2228 1) \u2228 1) \u2228 1\n(((((\u00acI) \u2228 I) \u2227 ((\u00acI) \u2228 G)) \u2228 1) \u2228 1) \u2228 1\n((((\u00acI) \u2228 (G \u2227 I)) \u2228 1) \u2228 1) \u2228 1\nChosen: 1 \u2228 ((((\u00acI) \u2228 (I \u2227 G)) \u2228 1) \u2228 1)\n\nOptions:\n1\n(1 \u2228 (((\u00acI) \u2228 (I \u2227 G)) \u2228 1)) \u2228 1\n1 \u2228 1\n1 \u2228 (1 \u2228 (((\u00acI) \u2228 (I \u2227 G)) \u2228 1))\n1 \u2228 (((\u00acI) \u2228 (I \u2227 G)) \u2228 (1 \u2228 1))\n1 \u2228 (1 \u2228 1)\n1 \u2228 ((1 \u2228 ((\u00acI) \u2228 (I \u2227 G))) \u2228 1)\n1 \u2228 (((\u00acI) \u2228 ((I \u2227 G) \u2228 1)) \u2228 1)\n1 \u2228 ((((I \u2227 G) \u2228 (\u00acI)) \u2228 1) \u2228 1)\n1 \u2228 (((((\u00acI) \u2228 I) \u2227 ((\u00acI) \u2228 G)) \u2228 1) \u2228 1)\n1 \u2228 ((((\u00acI) \u2228 (G \u2227 I)) \u2228 1) \u2228 1)\nChosen: (1 \u2228 (((\u00acI) \u2228 (I \u2227 G)) \u2228 1)) \u2228 1", "id": 164}, {"char_len": 626, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 41, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 480, 4489, 3883, 512, 7, 83193, 7, 41, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 480, 1192, 83193, 1209, 15, 75078, 480, 8, 75078, 320, 41, 12264, 101, 220, 15, 1192, 83193, 6774, 41, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 75078, 480, 340, 83193, 1209, 41, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 83193, 1209, 41, 12264, 101, 220, 15, 8, 75078, 320, 38, 75078, 220, 15, 1192, 83193, 7, 41, 75078, 320, 15, 75078, 480, 1192, 83193, 1209, 15, 12264, 101, 622, 8, 75078, 320, 15, 75078, 480, 1192, 1163, 8477, 25, 97265, 1209, 41, 12264, 101, 220, 15, 8, 75078, 220, 15, 696, 3883, 512, 7, 83193, 7, 41, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 15, 75078, 320, 41, 12264, 101, 220, 15, 1192, 83193, 7, 41, 75078, 220, 15, 340, 83193, 1209, 15, 12264, 101, 622, 8, 75078, 220, 15, 340, 1163, 8477, 25, 97265, 7, 15, 75078, 320, 41, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 41, 12264, 101, 220, 15, 1192, 83193, 15, 198, 83193, 1209, 15, 75078, 622, 8, 12264, 101, 320, 15, 75078, 220, 15, 1192, 83193, 7, 15, 75078, 622, 340, 83193, 7, 15, 75078, 320, 15, 12264, 101, 622, 1192, 1163, 8477, 25, 97265, 7, 15, 75078, 320, 15, 12264, 101, 622, 4489, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 622, 1192, 83193, 15, 198, 83193, 1209, 15, 12264, 101, 622, 8, 75078, 220, 15, 340, 83193, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 622, 1192, 83193, 7, 15, 75078, 622, 340, 1163, 8477, 25, 97265, 7, 15, 75078, 622, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 41, 340, 83193, 15, 198, 83193, 7, 41, 75078, 220, 15, 340, 1163, 8477, 25, 97265, 7, 41, 75078, 220, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 362, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((J \u2228 0) \u2227 (0 \u2227 G))\n\nOptions:\n(\u00ac(J \u2228 0)) \u2228 (\u00ac(0 \u2227 G))\n\u00ac((0 \u2227 G) \u2227 (J \u2228 0))\n\u00ac(((J \u2228 0) \u2227 0) \u2227 G)\n\u00ac((J \u2228 0) \u2227 0)\n\u00ac((J \u2228 0) \u2227 (G \u2227 0))\n\u00ac(J \u2227 (0 \u2227 G))\n\u00ac((0 \u2228 J) \u2227 (0 \u2227 G))\nChosen: \u00ac((J \u2228 0) \u2227 0)\n\nOptions:\n(\u00ac(J \u2228 0)) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(0 \u2227 (J \u2228 0))\n\u00ac(J \u2227 0)\n\u00ac((0 \u2228 J) \u2227 0)\nChosen: \u00ac(0 \u2227 (J \u2228 0))\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(J \u2228 0))\n\u00ac0\n\u00ac((0 \u2227 J) \u2228 (0 \u2227 0))\n\u00ac(0 \u2227 J)\n\u00ac(0 \u2227 (0 \u2228 J))\nChosen: \u00ac(0 \u2227 (0 \u2228 J))\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(0 \u2228 J))\n\u00ac0\n\u00ac((0 \u2228 J) \u2227 0)\n\u00ac((0 \u2227 0) \u2228 (0 \u2227 J))\n\u00ac(0 \u2227 J)\nChosen: \u00ac(0 \u2227 J)\n\nOptions:\n(\u00ac0) \u2228 (\u00acJ)\n\u00ac0\n\u00ac(J \u2227 0)\nChosen: \u00ac(J \u2227 0)", "id": 165}, {"char_len": 1310, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 15, 75078, 220, 16, 595, 75078, 1819, 43, 75078, 445, 8, 12264, 101, 320, 47, 75078, 393, 4489, 3883, 512, 1209, 43, 75078, 445, 8, 12264, 101, 320, 47, 75078, 393, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1209, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 43, 75078, 445, 595, 12264, 101, 1819, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 47, 75078, 393, 1192, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 1819, 47, 75078, 393, 8, 12264, 101, 320, 43, 75078, 445, 1192, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 11861, 43, 75078, 445, 8, 12264, 101, 393, 8, 75078, 1819, 43, 75078, 445, 8, 12264, 101, 393, 1192, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 1819, 43, 75078, 445, 8, 12264, 101, 393, 340, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 43, 12264, 101, 320, 47, 75078, 393, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 43, 75078, 445, 8, 12264, 101, 320, 47, 75078, 393, 1192, 7, 83193, 15, 8, 75078, 1819, 43, 75078, 445, 8, 12264, 101, 320, 47, 75078, 393, 1192, 7, 83193, 7, 16, 75078, 220, 15, 595, 75078, 1819, 43, 75078, 445, 8, 12264, 101, 320, 47, 75078, 393, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 43, 12264, 101, 320, 47, 75078, 393, 4489, 3883, 512, 5063, 12264, 101, 320, 47, 75078, 393, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1209, 83193, 7, 15, 75078, 220, 16, 595, 75078, 445, 8, 12264, 101, 1819, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 47, 75078, 393, 1192, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 1819, 47, 75078, 393, 8, 12264, 101, 445, 340, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 1819, 43, 12264, 101, 393, 8, 75078, 320, 43, 12264, 101, 393, 1192, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 43, 12264, 101, 393, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 43, 12264, 101, 320, 47, 75078, 393, 1192, 7, 83193, 15, 8, 75078, 320, 43, 12264, 101, 320, 47, 75078, 393, 1192, 7, 83193, 7, 16, 75078, 220, 15, 595, 75078, 320, 43, 12264, 101, 320, 47, 75078, 393, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 43, 12264, 101, 393, 696, 3883, 512, 5063, 12264, 101, 393, 8, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1209, 83193, 7, 15, 75078, 220, 16, 595, 75078, 445, 8, 12264, 101, 1819, 83193, 7, 15, 75078, 220, 16, 595, 75078, 393, 340, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 47, 12264, 101, 445, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 43, 12264, 101, 393, 340, 7, 83193, 15, 8, 75078, 320, 43, 12264, 101, 393, 340, 7, 83193, 7, 16, 75078, 220, 15, 595, 75078, 320, 43, 12264, 101, 393, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 43, 12264, 101, 393, 696, 3883, 512, 5063, 12264, 101, 393, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 445, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 393, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 47, 12264, 101, 445, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 43, 12264, 101, 393, 340, 1209, 83193, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 43, 12264, 101, 393, 340, 7, 16, 12264, 101, 320, 83193, 16, 595, 75078, 320, 43, 12264, 101, 393, 340, 1163, 8477, 25, 320, 16, 12264, 101, 320, 83193, 16, 595, 75078, 320, 43, 12264, 101, 393, 696, 3883, 512, 5063, 12264, 101, 393, 8, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 320, 83193, 16, 595, 75078, 445, 8, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 16, 595, 75078, 393, 340, 7, 16, 12264, 101, 320, 83193, 16, 595, 75078, 320, 47, 12264, 101, 445, 340, 16, 75078, 320, 43, 12264, 101, 393, 340, 1209, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 43, 12264, 101, 393, 340, 7, 16, 12264, 101, 220, 15, 8, 75078, 320, 43, 12264, 101, 393, 340, 1163, 8477, 25, 1819, 16, 12264, 101, 320, 83193, 16, 595, 75078, 445, 8, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 16, 595, 75078, 393, 8], "tokenizer": "cl100k_base", "tokens_len": 797, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(0 \u2227 1)) \u2227 ((L \u2227 L) \u2228 (P \u2227 P))\n\nOptions:\n((L \u2227 L) \u2228 (P \u2227 P)) \u2227 (\u00ac(0 \u2227 1))\n((\u00ac(0 \u2227 1)) \u2227 (L \u2227 L)) \u2228 ((\u00ac(0 \u2227 1)) \u2227 (P \u2227 P))\n(\u00ac(0 \u2227 1)) \u2227 ((P \u2227 P) \u2228 (L \u2227 L))\n(\u00ac(0 \u2227 1)) \u2227 (((L \u2227 L) \u2228 P) \u2227 ((L \u2227 L) \u2228 P))\n(\u00ac(0 \u2227 1)) \u2227 ((L \u2227 L) \u2228 P)\n(\u00ac(0 \u2227 1)) \u2227 (L \u2228 (P \u2227 P))\n((\u00ac0) \u2228 (\u00ac1)) \u2227 ((L \u2227 L) \u2228 (P \u2227 P))\n(\u00ac0) \u2227 ((L \u2227 L) \u2228 (P \u2227 P))\n(\u00ac(1 \u2227 0)) \u2227 ((L \u2227 L) \u2228 (P \u2227 P))\nChosen: (\u00ac(0 \u2227 1)) \u2227 (L \u2228 (P \u2227 P))\n\nOptions:\n(L \u2228 (P \u2227 P)) \u2227 (\u00ac(0 \u2227 1))\n((\u00ac(0 \u2227 1)) \u2227 L) \u2228 ((\u00ac(0 \u2227 1)) \u2227 (P \u2227 P))\n(\u00ac(0 \u2227 1)) \u2227 ((P \u2227 P) \u2228 L)\n(\u00ac(0 \u2227 1)) \u2227 ((L \u2228 P) \u2227 (L \u2228 P))\n(\u00ac(0 \u2227 1)) \u2227 (L \u2228 P)\n((\u00ac0) \u2228 (\u00ac1)) \u2227 (L \u2228 (P \u2227 P))\n(\u00ac0) \u2227 (L \u2228 (P \u2227 P))\n(\u00ac(1 \u2227 0)) \u2227 (L \u2228 (P \u2227 P))\nChosen: (\u00ac(0 \u2227 1)) \u2227 (L \u2228 P)\n\nOptions:\n(L \u2228 P) \u2227 (\u00ac(0 \u2227 1))\n((\u00ac(0 \u2227 1)) \u2227 L) \u2228 ((\u00ac(0 \u2227 1)) \u2227 P)\n(\u00ac(0 \u2227 1)) \u2227 (P \u2228 L)\n((\u00ac0) \u2228 (\u00ac1)) \u2227 (L \u2228 P)\n(\u00ac0) \u2227 (L \u2228 P)\n(\u00ac(1 \u2227 0)) \u2227 (L \u2228 P)\nChosen: ((\u00ac0) \u2228 (\u00ac1)) \u2227 (L \u2228 P)\n\nOptions:\n(L \u2228 P) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(((\u00ac0) \u2228 (\u00ac1)) \u2227 L) \u2228 (((\u00ac0) \u2228 (\u00ac1)) \u2227 P)\n((\u00ac0) \u2228 (\u00ac1)) \u2227 (P \u2228 L)\n((\u00ac1) \u2228 (\u00ac0)) \u2227 (L \u2228 P)\n((\u00ac0) \u2228 0) \u2227 (L \u2228 P)\n(1 \u2228 (\u00ac1)) \u2227 (L \u2228 P)\nChosen: (1 \u2228 (\u00ac1)) \u2227 (L \u2228 P)\n\nOptions:\n(L \u2228 P) \u2227 (1 \u2228 (\u00ac1))\n((1 \u2228 (\u00ac1)) \u2227 L) \u2228 ((1 \u2228 (\u00ac1)) \u2227 P)\n(1 \u2228 (\u00ac1)) \u2227 (P \u2228 L)\n1 \u2227 (L \u2228 P)\n((\u00ac1) \u2228 1) \u2227 (L \u2228 P)\n(1 \u2228 0) \u2227 (L \u2228 P)\nChosen: ((1 \u2228 (\u00ac1)) \u2227 L) \u2228 ((1 \u2228 (\u00ac1)) \u2227 P)", "id": 166}, {"char_len": 1751, "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, 83193, 38, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 480, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 480, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 38, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 38, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 480, 6054, 6774, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 320, 83193, 15, 595, 12264, 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101, 320, 83193, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 480, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 38, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 38, 8, 75078, 1819, 16, 12264, 101, 480, 8, 12264, 101, 320, 83193, 15, 6054, 6774, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 320, 16, 12264, 101, 480, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 320, 83193, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 320, 16, 12264, 101, 320, 38, 12264, 101, 320, 83193, 15, 6054, 1209, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 1819, 16, 12264, 101, 480, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 1819, 38, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 38, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 480, 8, 12264, 101, 320, 83193, 15, 1192, 7, 15, 75078, 320, 83193, 38, 595, 75078, 1819, 16, 12264, 101, 480, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 320, 16, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 38, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 38, 8, 75078, 320, 16, 12264, 101, 320, 83193, 15, 6054, 6774, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 320, 83193, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 220, 16, 198, 1209, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 38, 595, 75078, 320, 16, 12264, 101, 220, 16, 340, 1209, 83193, 38, 8, 75078, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 7, 15, 75078, 320, 83193, 38, 595, 75078, 320, 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75078, 320, 83193, 15, 6054, 15, 75078, 11861, 83193, 38, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 15, 6054, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 1819, 83193, 38, 8, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 15, 7861], "tokenizer": "cl100k_base", "tokens_len": 1088, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac1) \u2227 (\u00acG)) \u2227 ((\u00ac0) \u2228 (1 \u2228 G))\n\nOptions:\n((\u00ac0) \u2228 (1 \u2228 G)) \u2227 ((\u00ac1) \u2227 (\u00acG))\n(\u00ac1) \u2227 ((\u00acG) \u2227 ((\u00ac0) \u2228 (1 \u2228 G)))\n(((\u00ac1) \u2227 (\u00acG)) \u2227 (\u00ac0)) \u2228 (((\u00ac1) \u2227 (\u00acG)) \u2227 (1 \u2228 G))\n((\u00ac1) \u2227 (\u00acG)) \u2227 ((1 \u2228 G) \u2228 (\u00ac0))\n((\u00ac1) \u2227 (\u00acG)) \u2227 (((\u00ac0) \u2228 1) \u2228 G)\n((\u00ac1) \u2227 (\u00acG)) \u2227 ((\u00ac0) \u2228 1)\n((\u00ac1) \u2227 (\u00acG)) \u2227 ((\u00ac0) \u2228 (G \u2228 1))\n((\u00ac1) \u2227 (\u00acG)) \u2227 (1 \u2228 (1 \u2228 G))\n((\u00acG) \u2227 (\u00ac1)) \u2227 ((\u00ac0) \u2228 (1 \u2228 G))\n(0 \u2227 (\u00acG)) \u2227 ((\u00ac0) \u2228 (1 \u2228 G))\nChosen: ((\u00ac1) \u2227 (\u00acG)) \u2227 ((1 \u2228 G) \u2228 (\u00ac0))\n\nOptions:\n((1 \u2228 G) \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2227 (\u00acG))\n(\u00ac1) \u2227 ((\u00acG) \u2227 ((1 \u2228 G) \u2228 (\u00ac0)))\n(((\u00ac1) \u2227 (\u00acG)) \u2227 (1 \u2228 G)) \u2228 (((\u00ac1) \u2227 (\u00acG)) \u2227 (\u00ac0))\n((\u00ac1) \u2227 (\u00acG)) \u2227 (1 \u2228 (G \u2228 (\u00ac0)))\n((\u00ac1) \u2227 (\u00acG)) \u2227 ((1 \u2228 G) \u2228 1)\n((\u00ac1) \u2227 (\u00acG)) \u2227 (1 \u2228 (\u00ac0))\n((\u00ac1) \u2227 (\u00acG)) \u2227 ((G \u2228 1) \u2228 (\u00ac0))\n((\u00acG) \u2227 (\u00ac1)) \u2227 ((1 \u2228 G) \u2228 (\u00ac0))\n(0 \u2227 (\u00acG)) \u2227 ((1 \u2228 G) \u2228 (\u00ac0))\nChosen: ((\u00ac1) \u2227 (\u00acG)) \u2227 (1 \u2228 (\u00ac0))\n\nOptions:\n(1 \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2227 (\u00acG))\n(\u00ac1) \u2227 ((\u00acG) \u2227 (1 \u2228 (\u00ac0)))\n(((\u00ac1) \u2227 (\u00acG)) \u2227 1) \u2228 (((\u00ac1) \u2227 (\u00acG)) \u2227 (\u00ac0))\n((\u00ac1) \u2227 (\u00acG)) \u2227 1\n((\u00ac1) \u2227 (\u00acG)) \u2227 ((\u00ac0) \u2228 1)\n((\u00ac1) \u2227 (\u00acG)) \u2227 (1 \u2228 1)\n((\u00acG) \u2227 (\u00ac1)) \u2227 (1 \u2228 (\u00ac0))\n(0 \u2227 (\u00acG)) \u2227 (1 \u2228 (\u00ac0))\nChosen: (\u00ac1) \u2227 ((\u00acG) \u2227 (1 \u2228 (\u00ac0)))\n\nOptions:\n((\u00acG) \u2227 (1 \u2228 (\u00ac0))) \u2227 (\u00ac1)\n(\u00ac1) \u2227 ((1 \u2228 (\u00ac0)) \u2227 (\u00acG))\n(\u00ac1) \u2227 (((\u00acG) \u2227 1) \u2228 ((\u00acG) \u2227 (\u00ac0)))\n(\u00ac1) \u2227 ((\u00acG) \u2227 1)\n(\u00ac1) \u2227 ((\u00acG) \u2227 ((\u00ac0) \u2228 1))\n(\u00ac1) \u2227 ((\u00acG) \u2227 (1 \u2228 1))\n0 \u2227 ((\u00acG) \u2227 (1 \u2228 (\u00ac0)))\nChosen: (\u00ac1) \u2227 (((\u00acG) \u2227 1) \u2228 ((\u00acG) \u2227 (\u00ac0)))\n\nOptions:\n(((\u00acG) \u2227 1) \u2228 ((\u00acG) \u2227 (\u00ac0))) \u2227 (\u00ac1)\n((\u00ac1) \u2227 ((\u00acG) \u2227 1)) \u2228 ((\u00ac1) \u2227 ((\u00acG) \u2227 (\u00ac0)))\n(\u00ac1) \u2227 (((\u00acG) \u2227 (\u00ac0)) \u2228 ((\u00acG) \u2227 1))\n(\u00ac1) \u2227 ((((\u00acG) \u2227 1) \u2228 (\u00acG)) \u2227 (((\u00acG) \u2227 1) \u2228 (\u00ac0)))\n(\u00ac1) \u2227 (((\u00acG) \u2227 1) \u2228 ((\u00ac0) \u2227 (\u00acG)))\n(\u00ac1) \u2227 (((\u00acG) \u2227 1) \u2228 ((\u00acG) \u2227 1))\n(\u00ac1) \u2227 ((\u00acG) \u2228 ((\u00acG) \u2227 (\u00ac0)))\n(\u00ac1) \u2227 ((1 \u2227 (\u00acG)) \u2228 ((\u00acG) \u2227 (\u00ac0)))\n0 \u2227 (((\u00acG) \u2227 1) \u2228 ((\u00acG) \u2227 (\u00ac0)))\nChosen: (\u00ac1) \u2227 ((\u00acG) \u2228 ((\u00acG) \u2227 (\u00ac0)))", "id": 167}, {"char_len": 1868, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 15, 12264, 101, 1630, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 1192, 6774, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 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12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 1192, 6774, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 320, 15, 12264, 101, 1630, 595, 75078, 11861, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 220, 16, 340, 1209, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 320, 15, 12264, 101, 1630, 340, 1209, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 320, 16, 75078, 320, 15, 12264, 101, 1630, 1192, 1209, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 320, 55, 75078, 220, 16, 340, 1209, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 1819, 55, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 1209, 55, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 452, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 16, 340, 6774, 15, 12264, 101, 452, 8, 75078, 1630, 8, 75078, 1630, 8, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 16, 340, 1209, 15, 12264, 101, 452, 8, 75078, 1630, 8, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 16, 340, 8368, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 16, 340, 1209, 45, 12264, 101, 220, 15, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 320, 15, 12264, 101, 1630, 696, 3883, 512, 7, 15, 12264, 101, 1630, 8, 12264, 101, 1819, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 1192, 6774, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 220, 15, 8, 12264, 101, 1630, 198, 1209, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 1630, 198, 1209, 15, 12264, 101, 452, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 320, 55, 12264, 101, 220, 15, 340, 1209, 55, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 452, 595, 12264, 101, 320, 15, 12264, 101, 1630, 340, 6774, 15, 12264, 101, 452, 8, 75078, 1630, 8, 75078, 1630, 8, 12264, 101, 320, 15, 12264, 101, 1630, 340, 1209, 15, 12264, 101, 452, 8, 75078, 1630, 8, 12264, 101, 320, 15, 12264, 101, 1630, 340, 8368, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 320, 15, 12264, 101, 1630, 340, 1209, 45, 12264, 101, 220, 15, 8, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 320, 15, 12264, 101, 1630, 340, 1163, 8477, 25, 320, 45, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 320, 15, 12264, 101, 1630, 696, 3883, 512, 7, 15, 12264, 101, 1630, 8, 12264, 101, 320, 45, 75078, 320, 55, 75078, 1630, 1192, 1209, 45, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 220, 15, 8, 12264, 101, 1630, 198, 8368, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 1630, 198, 8368, 75078, 320, 55, 75078, 1630, 595, 12264, 101, 320, 55, 12264, 101, 220, 15, 340, 1209, 55, 75078, 1630, 8, 75078, 452, 8, 12264, 101, 320, 15, 12264, 101, 1630, 340, 1209, 45, 75078, 1630, 8, 75078, 1630, 8, 12264, 101, 320, 15, 12264, 101, 1630, 340, 8368, 75078, 1630, 8, 12264, 101, 320, 15, 12264, 101, 1630, 340, 1163, 8477, 25, 1819, 45, 75078, 1630, 8, 75078, 1630, 8, 12264, 101, 320, 15, 12264, 101, 1630, 696, 3883, 512, 7, 15, 12264, 101, 1630, 8, 12264, 101, 1819, 45, 75078, 1630, 8, 75078, 1630, 340, 6774, 45, 75078, 1630, 8, 75078, 1630, 8, 12264, 101, 220, 15, 8, 12264, 101, 1630, 198, 1209, 45, 75078, 1630, 8, 75078, 1630, 8, 12264, 101, 1630, 198, 1209, 45, 75078, 1630, 8, 75078, 1630, 8, 12264, 101, 320, 55, 12264, 101, 220, 15, 340, 7799, 75078, 320, 45, 75078, 1630, 595, 12264, 101, 320, 15, 12264, 101, 1630, 340, 1209, 55, 75078, 452, 8, 75078, 1630, 8, 12264, 101, 320, 15, 12264, 101, 1630, 340, 1163, 8477, 25, 320, 55, 75078, 320, 45, 75078, 1630, 595, 12264, 101, 320, 15, 12264, 101, 1630, 8], "tokenizer": "cl100k_base", "tokens_len": 1166, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 ((0 \u2228 X) \u2227 (0 \u2228 1))\n\nOptions:\n((0 \u2228 X) \u2227 (0 \u2228 1)) \u2228 ((0 \u2228 N) \u2227 (X \u2227 X))\n(((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 (0 \u2228 X)) \u2227 (((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 (0 \u2228 1))\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 ((0 \u2228 1) \u2227 (0 \u2228 X))\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 (((0 \u2228 X) \u2227 0) \u2228 ((0 \u2228 X) \u2227 1))\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 ((0 \u2228 X) \u2227 1)\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 ((0 \u2228 X) \u2227 (1 \u2228 0))\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 (X \u2227 (0 \u2228 1))\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 ((X \u2228 0) \u2227 (0 \u2228 1))\n((X \u2227 X) \u2227 (0 \u2228 N)) \u2228 ((0 \u2228 X) \u2227 (0 \u2228 1))\n(((0 \u2228 N) \u2227 X) \u2227 X) \u2228 ((0 \u2228 X) \u2227 (0 \u2228 1))\n((0 \u2228 N) \u2227 X) \u2228 ((0 \u2228 X) \u2227 (0 \u2228 1))\n(N \u2227 (X \u2227 X)) \u2228 ((0 \u2228 X) \u2227 (0 \u2228 1))\n((N \u2228 0) \u2227 (X \u2227 X)) \u2228 ((0 \u2228 X) \u2227 (0 \u2228 1))\nChosen: ((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 ((0 \u2228 X) \u2227 1)\n\nOptions:\n((0 \u2228 X) \u2227 1) \u2228 ((0 \u2228 N) \u2227 (X \u2227 X))\n(((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 (0 \u2228 X)) \u2227 (((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 1)\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 (0 \u2228 X)\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 (1 \u2227 (0 \u2228 X))\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 (X \u2227 1)\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 ((X \u2228 0) \u2227 1)\n((X \u2227 X) \u2227 (0 \u2228 N)) \u2228 ((0 \u2228 X) \u2227 1)\n(((0 \u2228 N) \u2227 X) \u2227 X) \u2228 ((0 \u2228 X) \u2227 1)\n((0 \u2228 N) \u2227 X) \u2228 ((0 \u2228 X) \u2227 1)\n(N \u2227 (X \u2227 X)) \u2228 ((0 \u2228 X) \u2227 1)\n((N \u2228 0) \u2227 (X \u2227 X)) \u2228 ((0 \u2228 X) \u2227 1)\nChosen: ((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 (0 \u2228 X)\n\nOptions:\n(0 \u2228 X) \u2228 ((0 \u2228 N) \u2227 (X \u2227 X))\n(((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 0) \u2228 X\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 X\n((0 \u2228 N) \u2227 (X \u2227 X)) \u2228 (X \u2228 0)\n((X \u2227 X) \u2227 (0 \u2228 N)) \u2228 (0 \u2228 X)\n(((0 \u2228 N) \u2227 X) \u2227 X) \u2228 (0 \u2228 X)\n((0 \u2228 N) \u2227 X) \u2228 (0 \u2228 X)\n(N \u2227 (X \u2227 X)) \u2228 (0 \u2228 X)\n((N \u2228 0) \u2227 (X \u2227 X)) \u2228 (0 \u2228 X)\nChosen: (N \u2227 (X \u2227 X)) \u2228 (0 \u2228 X)\n\nOptions:\n(0 \u2228 X) \u2228 (N \u2227 (X \u2227 X))\n((N \u2227 (X \u2227 X)) \u2228 0) \u2228 X\n(N \u2227 (X \u2227 X)) \u2228 X\n(N \u2227 (X \u2227 X)) \u2228 (X \u2228 0)\n((X \u2227 X) \u2227 N) \u2228 (0 \u2228 X)\n((N \u2227 X) \u2227 X) \u2228 (0 \u2228 X)\n(N \u2227 X) \u2228 (0 \u2228 X)\nChosen: ((N \u2227 X) \u2227 X) \u2228 (0 \u2228 X)\n\nOptions:\n(0 \u2228 X) \u2228 ((N \u2227 X) \u2227 X)\n(((N \u2227 X) \u2227 X) \u2228 0) \u2228 X\n((N \u2227 X) \u2227 X) \u2228 X\n((N \u2227 X) \u2227 X) \u2228 (X \u2228 0)\n(X \u2227 (N \u2227 X)) \u2228 (0 \u2228 X)\n((X \u2227 N) \u2227 X) \u2228 (0 \u2228 X)\nChosen: (X \u2227 (N \u2227 X)) \u2228 (0 \u2228 X)", "id": 168}, {"char_len": 294, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 16, 75078, 220, 16, 8, 75078, 320, 83193, 40, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 40, 1192, 83193, 1209, 83193, 40, 8, 75078, 320, 16, 75078, 220, 16, 1192, 83193, 7, 16, 75078, 320, 16, 75078, 320, 83193, 40, 6054, 83193, 7, 16, 75078, 320, 83193, 40, 1192, 1163, 8477, 25, 97265, 7, 16, 75078, 320, 83193, 40, 4489, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 83193, 40, 1192, 83193, 7, 83193, 40, 340, 83193, 1209, 83193, 40, 8, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 7, 83193, 40, 696, 3883, 512, 40, 198, 1163, 8477, 25, 358], "tokenizer": "cl100k_base", "tokens_len": 134, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((1 \u2227 1) \u2227 (\u00acI))\n\nOptions:\n(\u00ac(1 \u2227 1)) \u2228 (\u00ac(\u00acI))\n\u00ac((\u00acI) \u2227 (1 \u2227 1))\n\u00ac(1 \u2227 (1 \u2227 (\u00acI)))\n\u00ac(1 \u2227 (\u00acI))\nChosen: \u00ac(1 \u2227 (\u00acI))\n\nOptions:\n(\u00ac1) \u2228 (\u00ac(\u00acI))\n\u00ac(\u00acI)\n\u00ac((\u00acI) \u2227 1)\nChosen: \u00ac(\u00acI)\n\nOptions:\nI\nChosen: I", "id": 169}, {"char_len": 1777, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 1192, 6774, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 39, 12264, 101, 220, 16, 340, 7, 83193, 44, 8, 12264, 101, 1819, 44, 75078, 386, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 6054, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 473, 8, 12264, 101, 220, 16, 340, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 16, 340, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 320, 16, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 44, 75078, 386, 8, 12264, 101, 320, 83193, 44, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 6774, 83193, 44, 8, 12264, 101, 386, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 83193, 44, 8, 12264, 101, 386, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 1192, 6774, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 320, 39, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 44, 8, 12264, 101, 1819, 44, 75078, 386, 8, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 6054, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 320, 39, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 6054, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 1819, 16, 12264, 101, 473, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 44, 75078, 386, 8, 12264, 101, 320, 83193, 44, 595, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 83193, 44, 8, 12264, 101, 386, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 386, 595, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 44, 8, 12264, 101, 386, 8, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 320, 39, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 19789, 3883, 512, 11135, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 7861, 12264, 101, 1819, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 1192, 6774, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 473, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 44, 8, 12264, 101, 1819, 44, 75078, 386, 8, 12264, 101, 320, 39, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 23631, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 473, 340, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 320, 39, 12264, 101, 220, 16, 340, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 320, 39, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 16, 1192, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 320, 39, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 1209, 44, 75078, 386, 8, 12264, 101, 320, 83193, 44, 595, 12264, 101, 320, 39, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 6054, 6774, 83193, 44, 8, 12264, 101, 386, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 386, 595, 12264, 101, 320, 39, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 6054, 1209, 83193, 44, 8, 12264, 101, 386, 8, 12264, 101, 320, 39, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 6054, 1163, 8477, 25, 1819, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 320, 39, 12264, 101, 220, 16, 696, 3883, 512, 11135, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 1192, 6774, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 473, 8, 12264, 101, 220, 16, 198, 7, 83193, 44, 8, 12264, 101, 1819, 44, 75078, 386, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 220, 16, 198, 1209, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 320, 16, 12264, 101, 473, 340, 1209, 44, 75078, 386, 8, 12264, 101, 320, 83193, 44, 595, 12264, 101, 320, 39, 12264, 101, 220, 16, 340, 6774, 83193, 44, 8, 12264, 101, 386, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 386, 595, 12264, 101, 320, 39, 12264, 101, 220, 16, 340, 1209, 83193, 44, 8, 12264, 101, 386, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 1819, 83193, 44, 8, 12264, 101, 320, 44, 75078, 386, 1192, 7, 83193, 44, 8, 12264, 101, 1819, 44, 75078, 386, 8, 12264, 101, 220, 16, 340, 1209, 44, 75078, 386, 8, 12264, 101, 320, 83193, 44, 595, 12264, 101, 220, 16, 198, 6774, 83193, 44, 8, 12264, 101, 386, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 386, 595, 12264, 101, 220, 16, 198, 1209, 83193, 44, 8, 12264, 101, 386, 8, 12264, 101, 220, 16, 198, 1163, 8477, 25, 1819, 83193, 44, 8, 12264, 101, 386, 8, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1192, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acM) \u2228 (M \u2227 M)) \u2228 ((\u00ac0) \u2228 (H \u2228 1))\n\nOptions:\n((\u00ac0) \u2228 (H \u2228 1)) \u2228 ((\u00acM) \u2228 (M \u2227 M))\n(((\u00acM) \u2228 (M \u2227 M)) \u2228 (\u00ac0)) \u2228 (H \u2228 1)\n(\u00acM) \u2228 ((M \u2227 M) \u2228 ((\u00ac0) \u2228 (H \u2228 1)))\n((\u00acM) \u2228 (M \u2227 M)) \u2228 ((H \u2228 1) \u2228 (\u00ac0))\n((\u00acM) \u2228 (M \u2227 M)) \u2228 (((\u00ac0) \u2228 H) \u2228 1)\n((\u00acM) \u2228 (M \u2227 M)) \u2228 ((\u00ac0) \u2228 1)\n((\u00acM) \u2228 (M \u2227 M)) \u2228 ((\u00ac0) \u2228 (1 \u2228 H))\n((\u00acM) \u2228 (M \u2227 M)) \u2228 (1 \u2228 (H \u2228 1))\n((M \u2227 M) \u2228 (\u00acM)) \u2228 ((\u00ac0) \u2228 (H \u2228 1))\n(((\u00acM) \u2228 M) \u2227 ((\u00acM) \u2228 M)) \u2228 ((\u00ac0) \u2228 (H \u2228 1))\n((\u00acM) \u2228 M) \u2228 ((\u00ac0) \u2228 (H \u2228 1))\nChosen: ((\u00acM) \u2228 (M \u2227 M)) \u2228 ((H \u2228 1) \u2228 (\u00ac0))\n\nOptions:\n((H \u2228 1) \u2228 (\u00ac0)) \u2228 ((\u00acM) \u2228 (M \u2227 M))\n(((\u00acM) \u2228 (M \u2227 M)) \u2228 (H \u2228 1)) \u2228 (\u00ac0)\n(\u00acM) \u2228 ((M \u2227 M) \u2228 ((H \u2228 1) \u2228 (\u00ac0)))\n((\u00acM) \u2228 (M \u2227 M)) \u2228 (H \u2228 (1 \u2228 (\u00ac0)))\n((\u00acM) \u2228 (M \u2227 M)) \u2228 ((H \u2228 1) \u2228 1)\n((\u00acM) \u2228 (M \u2227 M)) \u2228 (1 \u2228 (\u00ac0))\n((\u00acM) \u2228 (M \u2227 M)) \u2228 ((1 \u2228 H) \u2228 (\u00ac0))\n((M \u2227 M) \u2228 (\u00acM)) \u2228 ((H \u2228 1) \u2228 (\u00ac0))\n(((\u00acM) \u2228 M) \u2227 ((\u00acM) \u2228 M)) \u2228 ((H \u2228 1) \u2228 (\u00ac0))\n((\u00acM) \u2228 M) \u2228 ((H \u2228 1) \u2228 (\u00ac0))\nChosen: ((\u00acM) \u2228 (M \u2227 M)) \u2228 (H \u2228 (1 \u2228 (\u00ac0)))\n\nOptions:\n(H \u2228 (1 \u2228 (\u00ac0))) \u2228 ((\u00acM) \u2228 (M \u2227 M))\n(((\u00acM) \u2228 (M \u2227 M)) \u2228 H) \u2228 (1 \u2228 (\u00ac0))\n(\u00acM) \u2228 ((M \u2227 M) \u2228 (H \u2228 (1 \u2228 (\u00ac0))))\n((\u00acM) \u2228 (M \u2227 M)) \u2228 ((1 \u2228 (\u00ac0)) \u2228 H)\n((\u00acM) \u2228 (M \u2227 M)) \u2228 (H \u2228 1)\n((\u00acM) \u2228 (M \u2227 M)) \u2228 (H \u2228 ((\u00ac0) \u2228 1))\n((\u00acM) \u2228 (M \u2227 M)) \u2228 (H \u2228 (1 \u2228 1))\n((M \u2227 M) \u2228 (\u00acM)) \u2228 (H \u2228 (1 \u2228 (\u00ac0)))\n(((\u00acM) \u2228 M) \u2227 ((\u00acM) \u2228 M)) \u2228 (H \u2228 (1 \u2228 (\u00ac0)))\n((\u00acM) \u2228 M) \u2228 (H \u2228 (1 \u2228 (\u00ac0)))\nChosen: ((\u00acM) \u2228 (M \u2227 M)) \u2228 (H \u2228 1)\n\nOptions:\n(H \u2228 1) \u2228 ((\u00acM) \u2228 (M \u2227 M))\n(((\u00acM) \u2228 (M \u2227 M)) \u2228 H) \u2228 1\n(\u00acM) \u2228 ((M \u2227 M) \u2228 (H \u2228 1))\n((\u00acM) \u2228 (M \u2227 M)) \u2228 1\n((\u00acM) \u2228 (M \u2227 M)) \u2228 (1 \u2228 H)\n((M \u2227 M) \u2228 (\u00acM)) \u2228 (H \u2228 1)\n(((\u00acM) \u2228 M) \u2227 ((\u00acM) \u2228 M)) \u2228 (H \u2228 1)\n((\u00acM) \u2228 M) \u2228 (H \u2228 1)\nChosen: ((\u00acM) \u2228 (M \u2227 M)) \u2228 1\n\nOptions:\n1\n1 \u2228 ((\u00acM) \u2228 (M \u2227 M))\n(\u00acM) \u2228 ((M \u2227 M) \u2228 1)\n((M \u2227 M) \u2228 (\u00acM)) \u2228 1\n(((\u00acM) \u2228 M) \u2227 ((\u00acM) \u2228 M)) \u2228 1\n((\u00acM) \u2228 M) \u2228 1\nChosen: ((\u00acM) \u2228 M) \u2228 1", "id": 170}, {"char_len": 1505, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 549, 8, 75078, 320, 83193, 51, 4489, 3883, 512, 1209, 16, 12264, 101, 549, 8, 75078, 320, 83193, 51, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 549, 595, 75078, 320, 83193, 51, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 51, 8, 75078, 320, 16, 12264, 101, 549, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 320, 83193, 51, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 52, 12264, 101, 220, 16, 8, 75078, 320, 83193, 51, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 549, 8, 75078, 320, 83193, 51, 1192, 7, 83193, 16, 8, 75078, 1819, 16, 12264, 101, 549, 8, 75078, 320, 83193, 51, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 549, 8, 75078, 320, 83193, 51, 4489, 3883, 512, 1209, 16, 12264, 101, 549, 8, 75078, 320, 83193, 51, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 16, 1192, 6774, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 549, 595, 75078, 320, 83193, 51, 340, 7, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 1819, 16, 12264, 101, 549, 8, 75078, 320, 83193, 51, 6054, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 51, 8, 75078, 320, 16, 12264, 101, 549, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 16, 75078, 320, 83193, 51, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 52, 12264, 101, 220, 16, 8, 75078, 320, 83193, 51, 1192, 1209, 83193, 16, 8, 75078, 220, 15, 8, 75078, 1819, 16, 12264, 101, 549, 8, 75078, 320, 83193, 51, 1192, 7, 15, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 549, 8, 75078, 320, 83193, 51, 1192, 1163, 8477, 25, 11861, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 549, 595, 75078, 320, 83193, 51, 696, 3883, 512, 7, 83193, 51, 8, 75078, 11861, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 549, 1192, 1209, 16, 12264, 101, 549, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 16, 7861, 75078, 320, 83193, 51, 340, 1209, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 16, 12264, 101, 549, 7861, 75078, 320, 83193, 51, 340, 67944, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 549, 595, 75078, 320, 83193, 51, 340, 6774, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 8, 75078, 320, 83193, 51, 340, 6774, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 52, 12264, 101, 220, 16, 595, 75078, 320, 83193, 51, 340, 6774, 83193, 16, 8, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 549, 595, 75078, 320, 83193, 51, 340, 1209, 15, 75078, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 549, 595, 75078, 320, 83193, 51, 340, 1163, 8477, 25, 11861, 83193, 16, 8, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 549, 595, 75078, 320, 83193, 51, 696, 3883, 512, 7, 83193, 51, 8, 75078, 11861, 83193, 16, 8, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 549, 1192, 1209, 83193, 16, 8, 75078, 220, 15, 8, 75078, 1819, 16, 12264, 101, 549, 8, 75078, 320, 83193, 51, 1192, 1209, 16, 12264, 101, 549, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 595, 75078, 320, 83193, 51, 340, 1209, 83193, 16, 8, 75078, 320, 15, 75078, 320, 16, 12264, 101, 549, 7861, 75078, 320, 83193, 51, 340, 67944, 83193, 16, 8, 75078, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 15, 8, 75078, 549, 595, 75078, 320, 83193, 51, 340, 6774, 83193, 16, 8, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 320, 83193, 51, 340, 6774, 83193, 16, 8, 75078, 220, 15, 8, 75078, 320, 52, 12264, 101, 220, 16, 595, 75078, 320, 83193, 51, 340, 7, 15, 75078, 320, 16, 12264, 101, 549, 595, 75078, 320, 83193, 51, 340, 1209, 15, 75078, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 549, 595, 75078, 320, 83193, 51, 340, 1209, 15, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 549, 595, 75078, 320, 83193, 51, 340, 1163, 8477, 25, 320, 15, 75078, 320, 16, 12264, 101, 549, 595, 75078, 320, 83193, 51, 696, 3883, 512, 7, 83193, 51, 8, 75078, 320, 15, 75078, 320, 16, 12264, 101, 549, 1192, 15, 75078, 1819, 16, 12264, 101, 549, 8, 75078, 320, 83193, 51, 1192, 15, 75078, 320, 83193, 51, 340, 1209, 16, 12264, 101, 549, 8, 75078, 220, 15, 8, 75078, 320, 83193, 51, 340, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 549, 595, 75078, 320, 83193, 51, 340, 7, 15, 75078, 220, 16, 8, 75078, 320, 83193, 51, 340, 7, 15, 75078, 320, 52, 12264, 101, 220, 16, 595, 75078, 320, 83193, 51, 340, 1163, 8477, 25, 320, 15, 75078, 220, 16, 8, 75078, 320, 83193, 51, 8], "tokenizer": "cl100k_base", "tokens_len": 916, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(1 \u2228 1)) \u2227 ((1 \u2228 U) \u2227 (\u00acT))\n\nOptions:\n((1 \u2228 U) \u2227 (\u00acT)) \u2227 (\u00ac(1 \u2228 1))\n((\u00ac(1 \u2228 1)) \u2227 (1 \u2228 U)) \u2227 (\u00acT)\n(\u00ac(1 \u2228 1)) \u2227 ((\u00acT) \u2227 (1 \u2228 U))\n(\u00ac(1 \u2228 1)) \u2227 (1 \u2227 (\u00acT))\n(\u00ac(1 \u2228 1)) \u2227 ((U \u2228 1) \u2227 (\u00acT))\n((\u00ac1) \u2227 (\u00ac1)) \u2227 ((1 \u2228 U) \u2227 (\u00acT))\n(\u00ac1) \u2227 ((1 \u2228 U) \u2227 (\u00acT))\nChosen: ((\u00ac1) \u2227 (\u00ac1)) \u2227 ((1 \u2228 U) \u2227 (\u00acT))\n\nOptions:\n((1 \u2228 U) \u2227 (\u00acT)) \u2227 ((\u00ac1) \u2227 (\u00ac1))\n(((\u00ac1) \u2227 (\u00ac1)) \u2227 (1 \u2228 U)) \u2227 (\u00acT)\n(\u00ac1) \u2227 ((\u00ac1) \u2227 ((1 \u2228 U) \u2227 (\u00acT)))\n((\u00ac1) \u2227 (\u00ac1)) \u2227 ((\u00acT) \u2227 (1 \u2228 U))\n((\u00ac1) \u2227 (\u00ac1)) \u2227 (1 \u2227 (\u00acT))\n((\u00ac1) \u2227 (\u00ac1)) \u2227 ((U \u2228 1) \u2227 (\u00acT))\n((\u00ac1) \u2227 0) \u2227 ((1 \u2228 U) \u2227 (\u00acT))\n(0 \u2227 (\u00ac1)) \u2227 ((1 \u2228 U) \u2227 (\u00acT))\nChosen: (((\u00ac1) \u2227 (\u00ac1)) \u2227 (1 \u2228 U)) \u2227 (\u00acT)\n\nOptions:\n(\u00acT) \u2227 (((\u00ac1) \u2227 (\u00ac1)) \u2227 (1 \u2228 U))\n((1 \u2228 U) \u2227 ((\u00ac1) \u2227 (\u00ac1))) \u2227 (\u00acT)\n((\u00ac1) \u2227 ((\u00ac1) \u2227 (1 \u2228 U))) \u2227 (\u00acT)\n((((\u00ac1) \u2227 (\u00ac1)) \u2227 1) \u2228 (((\u00ac1) \u2227 (\u00ac1)) \u2227 U)) \u2227 (\u00acT)\n(((\u00ac1) \u2227 (\u00ac1)) \u2227 1) \u2227 (\u00acT)\n(((\u00ac1) \u2227 (\u00ac1)) \u2227 (U \u2228 1)) \u2227 (\u00acT)\n(((\u00ac1) \u2227 0) \u2227 (1 \u2228 U)) \u2227 (\u00acT)\n((0 \u2227 (\u00ac1)) \u2227 (1 \u2228 U)) \u2227 (\u00acT)\nChosen: (((\u00ac1) \u2227 0) \u2227 (1 \u2228 U)) \u2227 (\u00acT)\n\nOptions:\n(\u00acT) \u2227 (((\u00ac1) \u2227 0) \u2227 (1 \u2228 U))\n((\u00ac1) \u2227 0) \u2227 ((1 \u2228 U) \u2227 (\u00acT))\n((1 \u2228 U) \u2227 ((\u00ac1) \u2227 0)) \u2227 (\u00acT)\n((\u00ac1) \u2227 (0 \u2227 (1 \u2228 U))) \u2227 (\u00acT)\n((((\u00ac1) \u2227 0) \u2227 1) \u2228 (((\u00ac1) \u2227 0) \u2227 U)) \u2227 (\u00acT)\n(((\u00ac1) \u2227 0) \u2227 1) \u2227 (\u00acT)\n(((\u00ac1) \u2227 0) \u2227 (U \u2228 1)) \u2227 (\u00acT)\n(0 \u2227 (1 \u2228 U)) \u2227 (\u00acT)\n((0 \u2227 (\u00ac1)) \u2227 (1 \u2228 U)) \u2227 (\u00acT)\n((0 \u2227 0) \u2227 (1 \u2228 U)) \u2227 (\u00acT)\nChosen: (0 \u2227 (1 \u2228 U)) \u2227 (\u00acT)\n\nOptions:\n(\u00acT) \u2227 (0 \u2227 (1 \u2228 U))\n0 \u2227 ((1 \u2228 U) \u2227 (\u00acT))\n0 \u2227 (\u00acT)\n((1 \u2228 U) \u2227 0) \u2227 (\u00acT)\n((0 \u2227 1) \u2228 (0 \u2227 U)) \u2227 (\u00acT)\n(0 \u2227 1) \u2227 (\u00acT)\n(0 \u2227 (U \u2228 1)) \u2227 (\u00acT)\nChosen: (0 \u2227 1) \u2227 (\u00acT)", "id": 171}, {"char_len": 1316, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 12264, 101, 445, 8, 75078, 320, 45, 12264, 101, 452, 595, 12264, 101, 320, 83193, 7, 16, 75078, 445, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 445, 595, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 320, 45, 12264, 101, 452, 1192, 1209, 15, 12264, 101, 445, 8, 75078, 320, 45, 12264, 101, 452, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 43, 1192, 1209, 15, 12264, 101, 445, 8, 75078, 320, 45, 12264, 101, 452, 595, 12264, 101, 320, 83193, 43, 340, 1209, 15, 12264, 101, 445, 8, 75078, 320, 45, 12264, 101, 452, 595, 12264, 101, 320, 83193, 7, 43, 75078, 220, 16, 1192, 1209, 45, 12264, 101, 452, 8, 75078, 320, 15, 12264, 101, 445, 595, 12264, 101, 320, 83193, 7, 16, 75078, 445, 1192, 6774, 15, 12264, 101, 445, 8, 75078, 452, 8, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 452, 595, 12264, 101, 320, 83193, 7, 16, 75078, 445, 1192, 1209, 15, 12264, 101, 445, 8, 75078, 452, 8, 12264, 101, 320, 83193, 7, 16, 75078, 445, 1192, 5063, 75078, 320, 45, 12264, 101, 452, 595, 12264, 101, 320, 83193, 7, 16, 75078, 445, 1192, 1209, 43, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 12264, 101, 320, 83193, 7, 16, 75078, 445, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 75078, 445, 595, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 320, 45, 12264, 101, 452, 4489, 3883, 512, 1209, 83193, 7, 16, 75078, 445, 595, 12264, 101, 320, 15, 12264, 101, 445, 595, 75078, 1819, 83193, 7, 16, 75078, 445, 595, 12264, 101, 320, 45, 12264, 101, 452, 1192, 7, 83193, 7, 16, 75078, 445, 595, 12264, 101, 1819, 45, 12264, 101, 452, 8, 75078, 320, 15, 12264, 101, 445, 1192, 7, 83193, 7, 16, 75078, 445, 595, 12264, 101, 11861, 15, 12264, 101, 445, 8, 75078, 452, 8, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 452, 1192, 7, 83193, 7, 16, 75078, 445, 595, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 452, 340, 7, 83193, 7, 16, 75078, 445, 595, 12264, 101, 320, 43, 75078, 320, 45, 12264, 101, 452, 1192, 7, 83193, 7, 16, 75078, 445, 595, 12264, 101, 1819, 43, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 320, 45, 12264, 101, 452, 1192, 7, 83193, 43, 8, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 320, 45, 12264, 101, 452, 1192, 7, 83193, 7, 43, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 320, 45, 12264, 101, 452, 1192, 1163, 8477, 25, 320, 83193, 43, 8, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 320, 45, 12264, 101, 452, 4489, 3883, 512, 1209, 15, 12264, 101, 445, 8, 75078, 320, 45, 12264, 101, 452, 595, 12264, 101, 320, 83193, 43, 340, 1209, 83193, 43, 8, 12264, 101, 320, 15, 12264, 101, 445, 595, 75078, 1819, 83193, 43, 8, 12264, 101, 320, 45, 12264, 101, 452, 1192, 7, 83193, 43, 8, 12264, 101, 1819, 45, 12264, 101, 452, 8, 75078, 320, 15, 12264, 101, 445, 1192, 7, 83193, 43, 8, 12264, 101, 11861, 15, 12264, 101, 445, 8, 75078, 452, 8, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 452, 1192, 7, 83193, 43, 8, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 452, 340, 7, 83193, 43, 8, 12264, 101, 320, 43, 75078, 320, 45, 12264, 101, 452, 1192, 7, 83193, 43, 8, 12264, 101, 1819, 43, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 1192, 1163, 8477, 25, 320, 83193, 43, 8, 12264, 101, 320, 43, 75078, 320, 45, 12264, 101, 452, 4489, 3883, 512, 5063, 75078, 320, 45, 12264, 101, 452, 595, 12264, 101, 320, 83193, 43, 340, 1209, 83193, 43, 8, 12264, 101, 445, 8, 75078, 1819, 83193, 43, 8, 12264, 101, 320, 45, 12264, 101, 452, 1192, 7, 83193, 43, 8, 12264, 101, 1819, 45, 12264, 101, 452, 8, 75078, 445, 340, 7, 83193, 43, 8, 12264, 101, 1819, 43, 75078, 452, 8, 12264, 101, 320, 43, 75078, 452, 1192, 7, 83193, 43, 8, 12264, 101, 320, 43, 75078, 452, 340, 1163, 8477, 25, 320, 43, 75078, 320, 45, 12264, 101, 452, 595, 12264, 101, 320, 83193, 43, 696, 3883, 512, 1209, 45, 12264, 101, 452, 8, 75078, 445, 8, 12264, 101, 320, 83193, 43, 340, 1209, 43, 75078, 452, 8, 12264, 101, 320, 43, 75078, 452, 595, 12264, 101, 320, 83193, 43, 340, 5063, 75078, 452, 8, 12264, 101, 320, 83193, 43, 340, 1163, 8477, 25, 320, 43, 75078, 452, 8, 12264, 101, 320, 83193, 43, 8], "tokenizer": "cl100k_base", "tokens_len": 814, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2228 L) \u2227 (N \u2228 N)) \u2228 (\u00ac(1 \u2227 L))\n\nOptions:\n(\u00ac(1 \u2227 L)) \u2228 ((0 \u2228 L) \u2227 (N \u2228 N))\n((0 \u2228 L) \u2227 (N \u2228 N)) \u2228 ((\u00ac1) \u2228 (\u00acL))\n((0 \u2228 L) \u2227 (N \u2228 N)) \u2228 (\u00acL)\n((0 \u2228 L) \u2227 (N \u2228 N)) \u2228 (\u00ac(L \u2227 1))\n((N \u2228 N) \u2227 (0 \u2228 L)) \u2228 (\u00ac(1 \u2227 L))\n(((0 \u2228 L) \u2227 N) \u2228 ((0 \u2228 L) \u2227 N)) \u2228 (\u00ac(1 \u2227 L))\n((0 \u2228 L) \u2227 N) \u2228 (\u00ac(1 \u2227 L))\n(L \u2227 (N \u2228 N)) \u2228 (\u00ac(1 \u2227 L))\n((L \u2228 0) \u2227 (N \u2228 N)) \u2228 (\u00ac(1 \u2227 L))\nChosen: (\u00ac(1 \u2227 L)) \u2228 ((0 \u2228 L) \u2227 (N \u2228 N))\n\nOptions:\n((\u00ac(1 \u2227 L)) \u2228 (0 \u2228 L)) \u2227 ((\u00ac(1 \u2227 L)) \u2228 (N \u2228 N))\n(\u00ac(1 \u2227 L)) \u2228 ((N \u2228 N) \u2227 (0 \u2228 L))\n(\u00ac(1 \u2227 L)) \u2228 (((0 \u2228 L) \u2227 N) \u2228 ((0 \u2228 L) \u2227 N))\n(\u00ac(1 \u2227 L)) \u2228 ((0 \u2228 L) \u2227 N)\n(\u00ac(1 \u2227 L)) \u2228 (L \u2227 (N \u2228 N))\n(\u00ac(1 \u2227 L)) \u2228 ((L \u2228 0) \u2227 (N \u2228 N))\n((\u00ac1) \u2228 (\u00acL)) \u2228 ((0 \u2228 L) \u2227 (N \u2228 N))\n(\u00acL) \u2228 ((0 \u2228 L) \u2227 (N \u2228 N))\n(\u00ac(L \u2227 1)) \u2228 ((0 \u2228 L) \u2227 (N \u2228 N))\nChosen: (\u00acL) \u2228 ((0 \u2228 L) \u2227 (N \u2228 N))\n\nOptions:\n((0 \u2228 L) \u2227 (N \u2228 N)) \u2228 (\u00acL)\n((\u00acL) \u2228 (0 \u2228 L)) \u2227 ((\u00acL) \u2228 (N \u2228 N))\n(\u00acL) \u2228 ((N \u2228 N) \u2227 (0 \u2228 L))\n(\u00acL) \u2228 (((0 \u2228 L) \u2227 N) \u2228 ((0 \u2228 L) \u2227 N))\n(\u00acL) \u2228 ((0 \u2228 L) \u2227 N)\n(\u00acL) \u2228 (L \u2227 (N \u2228 N))\n(\u00acL) \u2228 ((L \u2228 0) \u2227 (N \u2228 N))\nChosen: (\u00acL) \u2228 (L \u2227 (N \u2228 N))\n\nOptions:\n(L \u2227 (N \u2228 N)) \u2228 (\u00acL)\n((\u00acL) \u2228 L) \u2227 ((\u00acL) \u2228 (N \u2228 N))\n(\u00acL) \u2228 ((N \u2228 N) \u2227 L)\n(\u00acL) \u2228 ((L \u2227 N) \u2228 (L \u2227 N))\n(\u00acL) \u2228 (L \u2227 N)\nChosen: (L \u2227 (N \u2228 N)) \u2228 (\u00acL)\n\nOptions:\n((N \u2228 N) \u2227 L) \u2228 (\u00acL)\n((L \u2227 N) \u2228 (L \u2227 N)) \u2228 (\u00acL)\n(L \u2227 N) \u2228 (\u00acL)\nChosen: (L \u2227 N) \u2228 (\u00acL)", "id": 172}, {"char_len": 1754, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 1819, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 1192, 6774, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 320, 35, 75078, 220, 15, 595, 12264, 101, 320, 83193, 16, 340, 1209, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 35, 75078, 220, 15, 1192, 1209, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 1819, 35, 75078, 220, 15, 8, 12264, 101, 220, 15, 340, 1209, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 1819, 15, 75078, 423, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 43, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 595, 12264, 101, 1819, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 16, 12264, 101, 423, 8, 75078, 445, 8, 75078, 423, 8, 12264, 101, 1819, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 423, 8, 75078, 320, 35, 75078, 445, 595, 12264, 101, 1819, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 7, 16, 75078, 320, 43, 75078, 423, 595, 12264, 101, 1819, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 35, 12264, 101, 220, 16, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 1819, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 15, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 1192, 6774, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 340, 1209, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 320, 83193, 16, 340, 1209, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 1209, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 1209, 43, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 6774, 16, 12264, 101, 423, 8, 75078, 445, 8, 75078, 423, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 423, 8, 75078, 320, 35, 75078, 445, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 7, 16, 75078, 320, 43, 75078, 423, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1209, 35, 12264, 101, 220, 16, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 43, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 15, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 43, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 1192, 6774, 43, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 340, 1209, 43, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 595, 12264, 101, 320, 83193, 16, 340, 1209, 43, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 1209, 43, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 5063, 75078, 320, 35, 75078, 320, 16, 12264, 101, 423, 7861, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 6774, 43, 75078, 423, 8, 75078, 220, 16, 8, 12264, 101, 1819, 43, 75078, 423, 8, 75078, 423, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1209, 43, 75078, 423, 8, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1209, 43, 75078, 423, 8, 75078, 320, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1209, 35, 75078, 445, 8, 75078, 320, 16, 12264, 101, 423, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 43, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 595, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 1819, 43, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 1192, 1209, 43, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 595, 12264, 101, 220, 15, 198, 1209, 16, 12264, 101, 423, 8, 75078, 320, 43, 75078, 423, 595, 12264, 101, 320, 83193, 16, 340, 5063, 75078, 320, 35, 75078, 320, 16, 12264, 101, 423, 7861, 12264, 101, 320, 83193, 16, 340, 6774, 43, 75078, 423, 8, 75078, 220, 16, 8, 12264, 101, 1819, 43, 75078, 423, 8, 75078, 423, 595, 12264, 101, 320, 83193, 16, 340, 1209, 43, 75078, 423, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 340, 1209, 43, 75078, 423, 8, 75078, 320, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 35, 75078, 445, 8, 75078, 320, 16, 12264, 101, 423, 595, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 43, 75078, 423, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 1819, 43, 75078, 423, 8, 75078, 220, 16, 340, 1209, 43, 75078, 423, 8, 75078, 220, 16, 8, 12264, 101, 220, 15, 198, 5063, 75078, 423, 8, 12264, 101, 320, 83193, 16, 340, 7, 16, 75078, 320, 43, 75078, 423, 595, 12264, 101, 320, 83193, 16, 340, 5063, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 35, 75078, 445, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 320, 16, 75078, 320, 43, 75078, 423, 595, 12264, 101, 320, 83193, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 1101, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 ((D \u2227 0) \u2228 (\u00ac1))\n\nOptions:\n((D \u2227 0) \u2228 (\u00ac1)) \u2228 ((1 \u2228 D) \u2227 (L \u2227 D))\n(((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 (D \u2227 0)) \u2228 (\u00ac1)\n((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 ((\u00ac1) \u2228 (D \u2227 0))\n((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 ((D \u2227 0) \u2228 0)\n((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 (0 \u2228 (\u00ac1))\n((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 ((0 \u2227 D) \u2228 (\u00ac1))\n((L \u2227 D) \u2227 (1 \u2228 D)) \u2228 ((D \u2227 0) \u2228 (\u00ac1))\n(((1 \u2228 D) \u2227 L) \u2227 D) \u2228 ((D \u2227 0) \u2228 (\u00ac1))\n((1 \u2228 D) \u2227 (D \u2227 L)) \u2228 ((D \u2227 0) \u2228 (\u00ac1))\n(1 \u2227 (L \u2227 D)) \u2228 ((D \u2227 0) \u2228 (\u00ac1))\n((D \u2228 1) \u2227 (L \u2227 D)) \u2228 ((D \u2227 0) \u2228 (\u00ac1))\nChosen: ((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 (0 \u2228 (\u00ac1))\n\nOptions:\n(0 \u2228 (\u00ac1)) \u2228 ((1 \u2228 D) \u2227 (L \u2227 D))\n(((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 0) \u2228 (\u00ac1)\n((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 (\u00ac1)\n((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 ((\u00ac1) \u2228 0)\n((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 (0 \u2228 0)\n((L \u2227 D) \u2227 (1 \u2228 D)) \u2228 (0 \u2228 (\u00ac1))\n(((1 \u2228 D) \u2227 L) \u2227 D) \u2228 (0 \u2228 (\u00ac1))\n((1 \u2228 D) \u2227 (D \u2227 L)) \u2228 (0 \u2228 (\u00ac1))\n(1 \u2227 (L \u2227 D)) \u2228 (0 \u2228 (\u00ac1))\n((D \u2228 1) \u2227 (L \u2227 D)) \u2228 (0 \u2228 (\u00ac1))\nChosen: ((L \u2227 D) \u2227 (1 \u2228 D)) \u2228 (0 \u2228 (\u00ac1))\n\nOptions:\n(0 \u2228 (\u00ac1)) \u2228 ((L \u2227 D) \u2227 (1 \u2228 D))\n(((L \u2227 D) \u2227 (1 \u2228 D)) \u2228 0) \u2228 (\u00ac1)\n((L \u2227 D) \u2227 (1 \u2228 D)) \u2228 (\u00ac1)\n((L \u2227 D) \u2227 (1 \u2228 D)) \u2228 ((\u00ac1) \u2228 0)\n((L \u2227 D) \u2227 (1 \u2228 D)) \u2228 (0 \u2228 0)\n(L \u2227 (D \u2227 (1 \u2228 D))) \u2228 (0 \u2228 (\u00ac1))\n(((L \u2227 D) \u2227 1) \u2228 ((L \u2227 D) \u2227 D)) \u2228 (0 \u2228 (\u00ac1))\n((L \u2227 D) \u2227 1) \u2228 (0 \u2228 (\u00ac1))\n((L \u2227 D) \u2227 (D \u2228 1)) \u2228 (0 \u2228 (\u00ac1))\n((D \u2227 L) \u2227 (1 \u2228 D)) \u2228 (0 \u2228 (\u00ac1))\nChosen: ((L \u2227 D) \u2227 (1 \u2228 D)) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 ((L \u2227 D) \u2227 (1 \u2228 D))\n((L \u2227 D) \u2227 (1 \u2228 D)) \u2228 0\n((1 \u2228 D) \u2227 (L \u2227 D)) \u2228 (\u00ac1)\n(L \u2227 (D \u2227 (1 \u2228 D))) \u2228 (\u00ac1)\n(((L \u2227 D) \u2227 1) \u2228 ((L \u2227 D) \u2227 D)) \u2228 (\u00ac1)\n((L \u2227 D) \u2227 1) \u2228 (\u00ac1)\n((L \u2227 D) \u2227 (D \u2228 1)) \u2228 (\u00ac1)\n((D \u2227 L) \u2227 (1 \u2228 D)) \u2228 (\u00ac1)\nChosen: ((L \u2227 D) \u2227 1) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 ((L \u2227 D) \u2227 1)\n((L \u2227 D) \u2227 1) \u2228 0\n(L \u2227 D) \u2228 (\u00ac1)\n(1 \u2227 (L \u2227 D)) \u2228 (\u00ac1)\n(L \u2227 (D \u2227 1)) \u2228 (\u00ac1)\n((D \u2227 L) \u2227 1) \u2228 (\u00ac1)\nChosen: (1 \u2227 (L \u2227 D)) \u2228 (\u00ac1)", "id": 173}, {"char_len": 165, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 83193, 15, 4489, 3883, 512, 83193, 15, 198, 83193, 7, 83193, 16, 340, 1163, 8477, 25, 97265, 7, 83193, 16, 696, 3883, 512, 16, 198, 83193, 15, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 55, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(\u00ac0))\n\nOptions:\n\u00ac0\n\u00ac(\u00ac1)\nChosen: \u00ac(\u00ac1)\n\nOptions:\n1\n\u00ac0\nChosen: 1", "id": 174}, {"char_len": 159, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 83193, 16, 4489, 3883, 512, 83193, 16, 198, 83193, 7, 83193, 15, 340, 1163, 8477, 25, 97265, 16, 271, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 50, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(\u00ac1))\n\nOptions:\n\u00ac1\n\u00ac(\u00ac0)\nChosen: \u00ac1\n\nOptions:\n0\nChosen: 0", "id": 175}, {"char_len": 1856, "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, 35, 12264, 101, 423, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 423, 1192, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 423, 595, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 35, 12264, 101, 423, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 423, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 423, 595, 12264, 101, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 423, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 423, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 423, 595, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 35, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 423, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 423, 7861, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 35, 12264, 101, 423, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 340, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 5549, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 16, 12264, 101, 423, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 423, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 340, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 220, 16, 198, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 5549, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 16, 12264, 101, 423, 595, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 696, 3883, 512, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 340, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 220, 16, 198, 5549, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 320, 16, 12264, 101, 423, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 16, 4489, 3883, 512, 5549, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 16, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 16, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 423, 340, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 35, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 16, 340, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 1361, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2228 1) \u2228 (D \u2228 D)) \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1))\n\nOptions:\n((1 \u2227 1) \u2228 (0 \u2228 1)) \u2228 ((1 \u2228 1) \u2228 (D \u2228 D))\n(((1 \u2228 1) \u2228 (D \u2228 D)) \u2228 (1 \u2227 1)) \u2228 (0 \u2228 1)\n(1 \u2228 1) \u2228 ((D \u2228 D) \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1)))\n((1 \u2228 1) \u2228 (D \u2228 D)) \u2228 ((0 \u2228 1) \u2228 (1 \u2227 1))\n((1 \u2228 1) \u2228 (D \u2228 D)) \u2228 (((1 \u2227 1) \u2228 0) \u2228 1)\n((1 \u2228 1) \u2228 (D \u2228 D)) \u2228 ((1 \u2227 1) \u2228 1)\n((1 \u2228 1) \u2228 (D \u2228 D)) \u2228 ((1 \u2227 1) \u2228 (1 \u2228 0))\n((1 \u2228 1) \u2228 (D \u2228 D)) \u2228 (1 \u2228 (0 \u2228 1))\n((D \u2228 D) \u2228 (1 \u2228 1)) \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1))\n(((1 \u2228 1) \u2228 D) \u2228 D) \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1))\n(1 \u2228 (1 \u2228 (D \u2228 D))) \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1))\n((1 \u2228 1) \u2228 D) \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1))\n(1 \u2228 (D \u2228 D)) \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1))\nChosen: ((1 \u2228 1) \u2228 D) \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1))\n\nOptions:\n((1 \u2227 1) \u2228 (0 \u2228 1)) \u2228 ((1 \u2228 1) \u2228 D)\n(((1 \u2228 1) \u2228 D) \u2228 (1 \u2227 1)) \u2228 (0 \u2228 1)\n(1 \u2228 1) \u2228 (D \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1)))\n((1 \u2228 1) \u2228 D) \u2228 ((0 \u2228 1) \u2228 (1 \u2227 1))\n((1 \u2228 1) \u2228 D) \u2228 (((1 \u2227 1) \u2228 0) \u2228 1)\n((1 \u2228 1) \u2228 D) \u2228 ((1 \u2227 1) \u2228 1)\n((1 \u2228 1) \u2228 D) \u2228 ((1 \u2227 1) \u2228 (1 \u2228 0))\n((1 \u2228 1) \u2228 D) \u2228 (1 \u2228 (0 \u2228 1))\n(D \u2228 (1 \u2228 1)) \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1))\n(1 \u2228 (1 \u2228 D)) \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1))\n(1 \u2228 D) \u2228 ((1 \u2227 1) \u2228 (0 \u2228 1))\nChosen: ((1 \u2228 1) \u2228 D) \u2228 (1 \u2228 (0 \u2228 1))\n\nOptions:\n(1 \u2228 (0 \u2228 1)) \u2228 ((1 \u2228 1) \u2228 D)\n(((1 \u2228 1) \u2228 D) \u2228 1) \u2228 (0 \u2228 1)\n(1 \u2228 1) \u2228 (D \u2228 (1 \u2228 (0 \u2228 1)))\n((1 \u2228 1) \u2228 D) \u2228 1\n((1 \u2228 1) \u2228 D) \u2228 ((0 \u2228 1) \u2228 1)\n((1 \u2228 1) \u2228 D) \u2228 ((1 \u2228 0) \u2228 1)\n((1 \u2228 1) \u2228 D) \u2228 (1 \u2228 1)\n((1 \u2228 1) \u2228 D) \u2228 (1 \u2228 (1 \u2228 0))\n(D \u2228 (1 \u2228 1)) \u2228 (1 \u2228 (0 \u2228 1))\n(1 \u2228 (1 \u2228 D)) \u2228 (1 \u2228 (0 \u2228 1))\n(1 \u2228 D) \u2228 (1 \u2228 (0 \u2228 1))\nChosen: ((1 \u2228 1) \u2228 D) \u2228 (1 \u2228 1)\n\nOptions:\n(1 \u2228 1) \u2228 ((1 \u2228 1) \u2228 D)\n(((1 \u2228 1) \u2228 D) \u2228 1) \u2228 1\n(1 \u2228 1) \u2228 (D \u2228 (1 \u2228 1))\n((1 \u2228 1) \u2228 D) \u2228 1\n(D \u2228 (1 \u2228 1)) \u2228 (1 \u2228 1)\n(1 \u2228 (1 \u2228 D)) \u2228 (1 \u2228 1)\n(1 \u2228 D) \u2228 (1 \u2228 1)\nChosen: (1 \u2228 1) \u2228 (D \u2228 (1 \u2228 1))\n\nOptions:\n(D \u2228 (1 \u2228 1)) \u2228 (1 \u2228 1)\n1 \u2228 (1 \u2228 (D \u2228 (1 \u2228 1)))\n(1 \u2228 1) \u2228 ((1 \u2228 1) \u2228 D)\n(1 \u2228 1) \u2228 ((D \u2228 1) \u2228 1)\n(1 \u2228 1) \u2228 (D \u2228 1)\n1 \u2228 (D \u2228 (1 \u2228 1))\nChosen: 1 \u2228 (D \u2228 (1 \u2228 1))", "id": 176}, {"char_len": 1289, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 15, 75078, 507, 8, 75078, 320, 42, 75078, 220, 16, 4489, 3883, 512, 1209, 15, 75078, 507, 8, 75078, 320, 42, 75078, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 507, 595, 75078, 320, 42, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 42, 75078, 220, 16, 8, 75078, 320, 15, 75078, 507, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 11861, 15, 75078, 507, 8, 75078, 735, 8, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 46, 75078, 320, 42, 75078, 220, 16, 6054, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 15, 75078, 507, 8, 75078, 735, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 15, 75078, 507, 8, 75078, 320, 16, 75078, 735, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 42, 75078, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 46, 75078, 220, 15, 8, 75078, 320, 42, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 507, 8, 75078, 320, 42, 75078, 220, 16, 1192, 7, 83193, 16, 8, 75078, 1819, 15, 75078, 507, 8, 75078, 320, 42, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 42, 75078, 220, 16, 4489, 3883, 512, 7, 15, 75078, 320, 42, 75078, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 220, 15, 8, 75078, 320, 42, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 42, 75078, 220, 16, 8, 75078, 220, 15, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 15, 75078, 735, 8, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 735, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 16, 75078, 735, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 42, 75078, 220, 16, 1192, 7, 83193, 16, 8, 75078, 320, 15, 75078, 320, 42, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 15, 75078, 320, 42, 75078, 220, 16, 4489, 3883, 512, 7, 15, 75078, 320, 42, 75078, 220, 16, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 220, 15, 8, 75078, 320, 42, 75078, 220, 16, 340, 7, 83193, 16, 8, 75078, 220, 15, 198, 7, 83193, 16, 8, 75078, 1819, 42, 75078, 220, 16, 8, 75078, 220, 15, 340, 7, 83193, 16, 8, 75078, 1819, 15, 75078, 735, 8, 75078, 220, 16, 340, 7, 83193, 16, 8, 75078, 320, 15, 75078, 735, 340, 7, 83193, 16, 8, 75078, 320, 15, 75078, 320, 16, 75078, 735, 1192, 15, 75078, 320, 15, 75078, 320, 42, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 42, 75078, 220, 16, 595, 75078, 320, 83193, 16, 696, 3883, 512, 15, 75078, 1819, 42, 75078, 220, 16, 8, 75078, 320, 83193, 16, 1192, 7, 15, 75078, 320, 42, 75078, 220, 16, 595, 75078, 220, 15, 198, 15, 75078, 320, 83193, 16, 340, 1209, 42, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 83193, 16, 340, 1209, 15, 75078, 735, 8, 75078, 220, 16, 8, 75078, 320, 83193, 16, 340, 7, 15, 75078, 735, 8, 75078, 320, 83193, 16, 340, 7, 15, 75078, 320, 16, 75078, 735, 595, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 42, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 42, 75078, 220, 16, 8, 75078, 220, 15, 340, 17155, 75078, 220, 16, 8, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 1209, 42, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 220, 15, 198, 15, 75078, 320, 83193, 16, 340, 17155, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 16, 340, 17155, 75078, 220, 15, 8, 75078, 320, 83193, 16, 340, 1209, 16, 75078, 735, 8, 75078, 220, 15, 8, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 220, 15, 75078, 320, 83193, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 790, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(1 \u2228 1)) \u2227 ((0 \u2227 O) \u2227 (K \u2227 1))\n\nOptions:\n((0 \u2227 O) \u2227 (K \u2227 1)) \u2227 (\u00ac(1 \u2228 1))\n((\u00ac(1 \u2228 1)) \u2227 (0 \u2227 O)) \u2227 (K \u2227 1)\n(\u00ac(1 \u2228 1)) \u2227 ((K \u2227 1) \u2227 (0 \u2227 O))\n(\u00ac(1 \u2228 1)) \u2227 (((0 \u2227 O) \u2227 K) \u2227 1)\n(\u00ac(1 \u2228 1)) \u2227 (0 \u2227 (O \u2227 (K \u2227 1)))\n(\u00ac(1 \u2228 1)) \u2227 ((0 \u2227 O) \u2227 K)\n(\u00ac(1 \u2228 1)) \u2227 ((0 \u2227 O) \u2227 (1 \u2227 K))\n(\u00ac(1 \u2228 1)) \u2227 (0 \u2227 (K \u2227 1))\n(\u00ac(1 \u2228 1)) \u2227 ((O \u2227 0) \u2227 (K \u2227 1))\n((\u00ac1) \u2227 (\u00ac1)) \u2227 ((0 \u2227 O) \u2227 (K \u2227 1))\n(\u00ac1) \u2227 ((0 \u2227 O) \u2227 (K \u2227 1))\nChosen: (\u00ac(1 \u2228 1)) \u2227 (0 \u2227 (K \u2227 1))\n\nOptions:\n(0 \u2227 (K \u2227 1)) \u2227 (\u00ac(1 \u2228 1))\n((\u00ac(1 \u2228 1)) \u2227 0) \u2227 (K \u2227 1)\n(\u00ac(1 \u2228 1)) \u2227 0\n(\u00ac(1 \u2228 1)) \u2227 ((K \u2227 1) \u2227 0)\n(\u00ac(1 \u2228 1)) \u2227 ((0 \u2227 K) \u2227 1)\n(\u00ac(1 \u2228 1)) \u2227 (0 \u2227 K)\n(\u00ac(1 \u2228 1)) \u2227 (0 \u2227 (1 \u2227 K))\n((\u00ac1) \u2227 (\u00ac1)) \u2227 (0 \u2227 (K \u2227 1))\n(\u00ac1) \u2227 (0 \u2227 (K \u2227 1))\nChosen: (\u00ac1) \u2227 (0 \u2227 (K \u2227 1))\n\nOptions:\n(0 \u2227 (K \u2227 1)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 0) \u2227 (K \u2227 1)\n(\u00ac1) \u2227 0\n(\u00ac1) \u2227 ((K \u2227 1) \u2227 0)\n(\u00ac1) \u2227 ((0 \u2227 K) \u2227 1)\n(\u00ac1) \u2227 (0 \u2227 K)\n(\u00ac1) \u2227 (0 \u2227 (1 \u2227 K))\n0 \u2227 (0 \u2227 (K \u2227 1))\nChosen: (0 \u2227 (K \u2227 1)) \u2227 (\u00ac1)\n\nOptions:\n0 \u2227 ((K \u2227 1) \u2227 (\u00ac1))\n(0 \u2227 (K \u2227 1)) \u2227 0\n0 \u2227 (\u00ac1)\n((K \u2227 1) \u2227 0) \u2227 (\u00ac1)\n((0 \u2227 K) \u2227 1) \u2227 (\u00ac1)\n(0 \u2227 K) \u2227 (\u00ac1)\n(0 \u2227 (1 \u2227 K)) \u2227 (\u00ac1)\nChosen: ((K \u2227 1) \u2227 0) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((K \u2227 1) \u2227 0)\n(K \u2227 1) \u2227 (0 \u2227 (\u00ac1))\n((K \u2227 1) \u2227 0) \u2227 0\n0 \u2227 (\u00ac1)\n(K \u2227 (1 \u2227 0)) \u2227 (\u00ac1)\n(K \u2227 0) \u2227 (\u00ac1)\n((1 \u2227 K) \u2227 0) \u2227 (\u00ac1)\nChosen: 0 \u2227 (\u00ac1)", "id": 177}, {"char_len": 2412, "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, 15, 75078, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 6774, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 15, 12264, 101, 220, 16, 340, 7, 83193, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 6054, 1209, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 320, 16, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 6054, 1209, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 11861, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 1209, 15, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 6774, 83193, 16, 8, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 220, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 7, 15, 75078, 320, 15, 75078, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 4489, 3883, 512, 6774, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 220, 15, 340, 7, 16, 75078, 220, 15, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 6054, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 11861, 83193, 16, 8, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 7, 16, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 7861, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 6774, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 7, 15, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 696, 3883, 512, 1209, 83193, 16, 8, 75078, 220, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 6774, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 595, 75078, 220, 15, 198, 7, 16, 75078, 220, 15, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 7, 16, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 7861, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 6774, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 7, 15, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 15, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 6774, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 220, 15, 8, 75078, 320, 83193, 16, 340, 7, 16, 75078, 220, 15, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 320, 83193, 16, 6054, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 7, 16, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 7861, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 6774, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 7, 15, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 75078, 220, 15, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 220, 15, 198, 7, 16, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 7861, 75078, 220, 15, 198, 6774, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 220, 16, 595, 75078, 220, 15, 198, 1209, 16, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 220, 15, 198, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 220, 15, 198, 7, 15, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 1562, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac1) \u2227 (0 \u2227 0)) \u2227 ((1 \u2227 0) \u2227 (0 \u2228 1))\n\nOptions:\n((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 ((\u00ac1) \u2227 (0 \u2227 0))\n(((\u00ac1) \u2227 (0 \u2227 0)) \u2227 (1 \u2227 0)) \u2227 (0 \u2228 1)\n(\u00ac1) \u2227 ((0 \u2227 0) \u2227 ((1 \u2227 0) \u2227 (0 \u2228 1)))\n((\u00ac1) \u2227 (0 \u2227 0)) \u2227 ((0 \u2228 1) \u2227 (1 \u2227 0))\n((\u00ac1) \u2227 (0 \u2227 0)) \u2227 (1 \u2227 (0 \u2227 (0 \u2228 1)))\n((\u00ac1) \u2227 (0 \u2227 0)) \u2227 (((1 \u2227 0) \u2227 0) \u2228 ((1 \u2227 0) \u2227 1))\n((\u00ac1) \u2227 (0 \u2227 0)) \u2227 ((1 \u2227 0) \u2227 1)\n((\u00ac1) \u2227 (0 \u2227 0)) \u2227 ((1 \u2227 0) \u2227 (1 \u2228 0))\n((\u00ac1) \u2227 (0 \u2227 0)) \u2227 (0 \u2227 (0 \u2228 1))\n((\u00ac1) \u2227 (0 \u2227 0)) \u2227 ((0 \u2227 1) \u2227 (0 \u2228 1))\n((0 \u2227 0) \u2227 (\u00ac1)) \u2227 ((1 \u2227 0) \u2227 (0 \u2228 1))\n(((\u00ac1) \u2227 0) \u2227 0) \u2227 ((1 \u2227 0) \u2227 (0 \u2228 1))\n((\u00ac1) \u2227 0) \u2227 ((1 \u2227 0) \u2227 (0 \u2228 1))\n(0 \u2227 (0 \u2227 0)) \u2227 ((1 \u2227 0) \u2227 (0 \u2228 1))\nChosen: ((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 ((\u00ac1) \u2227 (0 \u2227 0))\n\nOptions:\n(((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 (\u00ac1)) \u2227 (0 \u2227 0)\n(1 \u2227 0) \u2227 ((0 \u2228 1) \u2227 ((\u00ac1) \u2227 (0 \u2227 0)))\n((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 ((0 \u2227 0) \u2227 (\u00ac1))\n((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 (((\u00ac1) \u2227 0) \u2227 0)\n((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 ((\u00ac1) \u2227 0)\n((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 (0 \u2227 (0 \u2227 0))\n((0 \u2228 1) \u2227 (1 \u2227 0)) \u2227 ((\u00ac1) \u2227 (0 \u2227 0))\n(1 \u2227 (0 \u2227 (0 \u2228 1))) \u2227 ((\u00ac1) \u2227 (0 \u2227 0))\n(((1 \u2227 0) \u2227 0) \u2228 ((1 \u2227 0) \u2227 1)) \u2227 ((\u00ac1) \u2227 (0 \u2227 0))\n((1 \u2227 0) \u2227 1) \u2227 ((\u00ac1) \u2227 (0 \u2227 0))\n((1 \u2227 0) \u2227 (1 \u2228 0)) \u2227 ((\u00ac1) \u2227 (0 \u2227 0))\n(0 \u2227 (0 \u2228 1)) \u2227 ((\u00ac1) \u2227 (0 \u2227 0))\n((0 \u2227 1) \u2227 (0 \u2228 1)) \u2227 ((\u00ac1) \u2227 (0 \u2227 0))\nChosen: ((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 ((\u00ac1) \u2227 0)\n\nOptions:\n((\u00ac1) \u2227 0) \u2227 ((1 \u2227 0) \u2227 (0 \u2228 1))\n(((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 (\u00ac1)) \u2227 0\n(1 \u2227 0) \u2227 ((0 \u2228 1) \u2227 ((\u00ac1) \u2227 0))\n((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 0\n((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 (0 \u2227 (\u00ac1))\n((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 (0 \u2227 0)\n((0 \u2228 1) \u2227 (1 \u2227 0)) \u2227 ((\u00ac1) \u2227 0)\n(1 \u2227 (0 \u2227 (0 \u2228 1))) \u2227 ((\u00ac1) \u2227 0)\n(((1 \u2227 0) \u2227 0) \u2228 ((1 \u2227 0) \u2227 1)) \u2227 ((\u00ac1) \u2227 0)\n((1 \u2227 0) \u2227 1) \u2227 ((\u00ac1) \u2227 0)\n((1 \u2227 0) \u2227 (1 \u2228 0)) \u2227 ((\u00ac1) \u2227 0)\n(0 \u2227 (0 \u2228 1)) \u2227 ((\u00ac1) \u2227 0)\n((0 \u2227 1) \u2227 (0 \u2228 1)) \u2227 ((\u00ac1) \u2227 0)\nChosen: ((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 (0 \u2227 (\u00ac1))\n\nOptions:\n(0 \u2227 (\u00ac1)) \u2227 ((1 \u2227 0) \u2227 (0 \u2228 1))\n(((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 0) \u2227 (\u00ac1)\n(1 \u2227 0) \u2227 ((0 \u2228 1) \u2227 (0 \u2227 (\u00ac1)))\n((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 0\n((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 (0 \u2227 0)\n((0 \u2228 1) \u2227 (1 \u2227 0)) \u2227 (0 \u2227 (\u00ac1))\n(1 \u2227 (0 \u2227 (0 \u2228 1))) \u2227 (0 \u2227 (\u00ac1))\n(((1 \u2227 0) \u2227 0) \u2228 ((1 \u2227 0) \u2227 1)) \u2227 (0 \u2227 (\u00ac1))\n((1 \u2227 0) \u2227 1) \u2227 (0 \u2227 (\u00ac1))\n((1 \u2227 0) \u2227 (1 \u2228 0)) \u2227 (0 \u2227 (\u00ac1))\n(0 \u2227 (0 \u2228 1)) \u2227 (0 \u2227 (\u00ac1))\n((0 \u2227 1) \u2227 (0 \u2228 1)) \u2227 (0 \u2227 (\u00ac1))\nChosen: ((1 \u2227 0) \u2227 (0 \u2228 1)) \u2227 0\n\nOptions:\n0\n0 \u2227 ((1 \u2227 0) \u2227 (0 \u2228 1))\n(1 \u2227 0) \u2227 ((0 \u2228 1) \u2227 0)\n((0 \u2228 1) \u2227 (1 \u2227 0)) \u2227 0\n(1 \u2227 (0 \u2227 (0 \u2228 1))) \u2227 0\n(((1 \u2227 0) \u2227 0) \u2228 ((1 \u2227 0) \u2227 1)) \u2227 0\n((1 \u2227 0) \u2227 1) \u2227 0\n((1 \u2227 0) \u2227 (1 \u2228 0)) \u2227 0\n(0 \u2227 (0 \u2228 1)) \u2227 0\n((0 \u2227 1) \u2227 (0 \u2228 1)) \u2227 0\nChosen: 0", "id": 178}, {"char_len": 1311, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 75078, 220, 16, 8, 75078, 320, 55, 12264, 101, 650, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 55, 12264, 101, 650, 1192, 6774, 15, 75078, 220, 16, 8, 75078, 320, 55, 12264, 101, 650, 595, 75078, 320, 83193, 15, 595, 75078, 320, 55, 75078, 220, 16, 340, 7, 15, 75078, 220, 16, 8, 75078, 1819, 55, 12264, 101, 650, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 6054, 1209, 15, 75078, 220, 16, 8, 75078, 320, 55, 12264, 101, 650, 595, 75078, 1819, 55, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 55, 12264, 101, 650, 595, 75078, 11861, 83193, 15, 8, 75078, 1630, 8, 75078, 220, 16, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 55, 12264, 101, 650, 595, 75078, 1819, 83193, 15, 8, 75078, 1630, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 55, 12264, 101, 650, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 1630, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 55, 12264, 101, 650, 595, 75078, 320, 16, 75078, 320, 55, 75078, 220, 16, 1192, 1209, 55, 12264, 101, 650, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 1192, 7, 15, 75078, 320, 16, 75078, 320, 55, 12264, 101, 650, 7861, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 1192, 6774, 15, 75078, 220, 16, 8, 75078, 1630, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 650, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 53, 12264, 101, 1630, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 1192, 7, 15, 75078, 320, 55, 12264, 101, 650, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 55, 12264, 101, 650, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 55, 12264, 101, 650, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 55, 12264, 101, 650, 1192, 1209, 15, 75078, 320, 55, 12264, 101, 650, 595, 75078, 320, 83193, 15, 595, 75078, 320, 55, 75078, 220, 16, 340, 15, 75078, 1819, 55, 12264, 101, 650, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 6054, 7, 15, 75078, 320, 55, 12264, 101, 650, 595, 75078, 1819, 55, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 320, 55, 12264, 101, 650, 595, 75078, 11861, 83193, 15, 8, 75078, 1630, 8, 75078, 220, 16, 340, 7, 15, 75078, 320, 55, 12264, 101, 650, 595, 75078, 1819, 83193, 15, 8, 75078, 1630, 340, 7, 15, 75078, 320, 55, 12264, 101, 650, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 1630, 1192, 7, 15, 75078, 320, 55, 12264, 101, 650, 595, 75078, 320, 16, 75078, 320, 55, 75078, 220, 16, 1192, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 1192, 1209, 55, 12264, 101, 650, 8, 75078, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 1192, 1209, 15, 75078, 1630, 8, 12264, 101, 320, 15, 75078, 650, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 1192, 7, 15, 75078, 320, 53, 12264, 101, 1630, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 1192, 1163, 8477, 25, 220, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 4489, 3883, 512, 15, 198, 1209, 83193, 15, 8, 75078, 320, 55, 75078, 220, 16, 595, 75078, 220, 15, 198, 7, 15, 75078, 320, 83193, 15, 595, 75078, 320, 55, 75078, 220, 16, 340, 15, 75078, 1819, 55, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 15, 75078, 11861, 83193, 15, 8, 75078, 1630, 8, 75078, 220, 16, 340, 15, 75078, 1819, 83193, 15, 8, 75078, 1630, 340, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 1630, 1192, 15, 75078, 320, 16, 75078, 320, 55, 75078, 220, 16, 1192, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 769, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 1) \u2227 (X \u2228 V)) \u2227 ((\u00ac0) \u2227 (X \u2227 1))\n\nOptions:\n((\u00ac0) \u2227 (X \u2227 1)) \u2227 ((0 \u2227 1) \u2227 (X \u2228 V))\n(((0 \u2227 1) \u2227 (X \u2228 V)) \u2227 (\u00ac0)) \u2227 (X \u2227 1)\n(0 \u2227 1) \u2227 ((X \u2228 V) \u2227 ((\u00ac0) \u2227 (X \u2227 1)))\n((0 \u2227 1) \u2227 (X \u2228 V)) \u2227 ((X \u2227 1) \u2227 (\u00ac0))\n((0 \u2227 1) \u2227 (X \u2228 V)) \u2227 (((\u00ac0) \u2227 X) \u2227 1)\n((0 \u2227 1) \u2227 (X \u2228 V)) \u2227 ((\u00ac0) \u2227 X)\n((0 \u2227 1) \u2227 (X \u2228 V)) \u2227 ((\u00ac0) \u2227 (1 \u2227 X))\n((0 \u2227 1) \u2227 (X \u2228 V)) \u2227 (1 \u2227 (X \u2227 1))\n((X \u2228 V) \u2227 (0 \u2227 1)) \u2227 ((\u00ac0) \u2227 (X \u2227 1))\n(0 \u2227 (1 \u2227 (X \u2228 V))) \u2227 ((\u00ac0) \u2227 (X \u2227 1))\n(((0 \u2227 1) \u2227 X) \u2228 ((0 \u2227 1) \u2227 V)) \u2227 ((\u00ac0) \u2227 (X \u2227 1))\n((0 \u2227 1) \u2227 (V \u2228 X)) \u2227 ((\u00ac0) \u2227 (X \u2227 1))\n(0 \u2227 (X \u2228 V)) \u2227 ((\u00ac0) \u2227 (X \u2227 1))\n((1 \u2227 0) \u2227 (X \u2228 V)) \u2227 ((\u00ac0) \u2227 (X \u2227 1))\nChosen: (0 \u2227 (X \u2228 V)) \u2227 ((\u00ac0) \u2227 (X \u2227 1))\n\nOptions:\n((\u00ac0) \u2227 (X \u2227 1)) \u2227 (0 \u2227 (X \u2228 V))\n((0 \u2227 (X \u2228 V)) \u2227 (\u00ac0)) \u2227 (X \u2227 1)\n0 \u2227 ((X \u2228 V) \u2227 ((\u00ac0) \u2227 (X \u2227 1)))\n(0 \u2227 (X \u2228 V)) \u2227 ((X \u2227 1) \u2227 (\u00ac0))\n(0 \u2227 (X \u2228 V)) \u2227 (((\u00ac0) \u2227 X) \u2227 1)\n(0 \u2227 (X \u2228 V)) \u2227 ((\u00ac0) \u2227 X)\n(0 \u2227 (X \u2228 V)) \u2227 ((\u00ac0) \u2227 (1 \u2227 X))\n(0 \u2227 (X \u2228 V)) \u2227 (1 \u2227 (X \u2227 1))\n0 \u2227 ((\u00ac0) \u2227 (X \u2227 1))\n((X \u2228 V) \u2227 0) \u2227 ((\u00ac0) \u2227 (X \u2227 1))\n((0 \u2227 X) \u2228 (0 \u2227 V)) \u2227 ((\u00ac0) \u2227 (X \u2227 1))\n(0 \u2227 (V \u2228 X)) \u2227 ((\u00ac0) \u2227 (X \u2227 1))\nChosen: 0 \u2227 ((\u00ac0) \u2227 (X \u2227 1))\n\nOptions:\n0\n((\u00ac0) \u2227 (X \u2227 1)) \u2227 0\n(0 \u2227 (\u00ac0)) \u2227 (X \u2227 1)\n0 \u2227 ((X \u2227 1) \u2227 (\u00ac0))\n0 \u2227 (((\u00ac0) \u2227 X) \u2227 1)\n0 \u2227 ((\u00ac0) \u2227 X)\n0 \u2227 ((\u00ac0) \u2227 (1 \u2227 X))\n0 \u2227 (1 \u2227 (X \u2227 1))\nChosen: 0", "id": 179}, {"char_len": 1116, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 1819, 53, 12264, 101, 220, 16, 8, 12264, 101, 320, 53, 12264, 101, 423, 4489, 3883, 512, 1209, 53, 12264, 101, 220, 16, 8, 12264, 101, 320, 53, 12264, 101, 423, 595, 12264, 101, 1819, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 1192, 6774, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 320, 53, 12264, 101, 220, 16, 595, 12264, 101, 320, 53, 12264, 101, 423, 340, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 1819, 53, 12264, 101, 423, 8, 12264, 101, 320, 53, 12264, 101, 220, 16, 1192, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 11861, 53, 12264, 101, 220, 16, 8, 12264, 101, 650, 8, 12264, 101, 423, 340, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 320, 53, 12264, 101, 320, 16, 12264, 101, 320, 53, 12264, 101, 423, 6054, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 1819, 53, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 650, 1192, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 320, 16, 12264, 101, 320, 53, 12264, 101, 423, 1192, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 1819, 16, 12264, 101, 650, 8, 12264, 101, 320, 53, 12264, 101, 423, 1192, 1209, 83193, 35, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 53, 12264, 101, 220, 16, 8, 12264, 101, 320, 53, 12264, 101, 423, 1192, 5549, 75078, 320, 16, 75078, 320, 83193, 35, 7861, 12264, 101, 1819, 53, 12264, 101, 220, 16, 8, 12264, 101, 320, 53, 12264, 101, 423, 1192, 5549, 75078, 320, 83193, 35, 595, 12264, 101, 1819, 53, 12264, 101, 220, 16, 8, 12264, 101, 320, 53, 12264, 101, 423, 1192, 1209, 16, 75078, 423, 8, 75078, 320, 83193, 35, 595, 12264, 101, 1819, 53, 12264, 101, 220, 16, 8, 12264, 101, 320, 53, 12264, 101, 423, 1192, 1163, 8477, 25, 1819, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 320, 16, 12264, 101, 320, 53, 12264, 101, 423, 4489, 3883, 512, 7, 16, 12264, 101, 320, 53, 12264, 101, 423, 595, 12264, 101, 1819, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 1192, 6774, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 53, 12264, 101, 423, 340, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 220, 16, 198, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 1819, 53, 12264, 101, 423, 8, 12264, 101, 220, 16, 340, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 1819, 16, 12264, 101, 650, 8, 12264, 101, 423, 340, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 650, 1192, 1209, 83193, 35, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 53, 12264, 101, 423, 1192, 5549, 75078, 320, 16, 75078, 320, 83193, 35, 7861, 12264, 101, 320, 16, 12264, 101, 320, 53, 12264, 101, 423, 1192, 5549, 75078, 320, 83193, 35, 595, 12264, 101, 320, 16, 12264, 101, 320, 53, 12264, 101, 423, 1192, 1209, 16, 75078, 423, 8, 75078, 320, 83193, 35, 595, 12264, 101, 320, 16, 12264, 101, 320, 53, 12264, 101, 423, 1192, 1163, 8477, 25, 1819, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 1819, 35, 75078, 220, 16, 8, 75078, 320, 83193, 35, 1192, 1209, 83193, 35, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 5549, 75078, 320, 16, 75078, 320, 83193, 35, 7861, 12264, 101, 220, 16, 198, 5549, 75078, 320, 83193, 35, 595, 12264, 101, 220, 16, 198, 1209, 16, 75078, 423, 8, 75078, 320, 83193, 35, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 712, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((D \u2227 1) \u2227 (\u00acD)) \u2228 ((V \u2228 1) \u2228 (V \u2228 D))\n\nOptions:\n((V \u2228 1) \u2228 (V \u2228 D)) \u2228 ((D \u2227 1) \u2227 (\u00acD))\n(((D \u2227 1) \u2227 (\u00acD)) \u2228 (V \u2228 1)) \u2228 (V \u2228 D)\n((D \u2227 1) \u2227 (\u00acD)) \u2228 ((V \u2228 D) \u2228 (V \u2228 1))\n((D \u2227 1) \u2227 (\u00acD)) \u2228 (((V \u2228 1) \u2228 V) \u2228 D)\n((D \u2227 1) \u2227 (\u00acD)) \u2228 (V \u2228 (1 \u2228 (V \u2228 D)))\n((D \u2227 1) \u2227 (\u00acD)) \u2228 ((V \u2228 1) \u2228 (D \u2228 V))\n((D \u2227 1) \u2227 (\u00acD)) \u2228 (1 \u2228 (V \u2228 D))\n((D \u2227 1) \u2227 (\u00acD)) \u2228 ((1 \u2228 V) \u2228 (V \u2228 D))\n((\u00acD) \u2227 (D \u2227 1)) \u2228 ((V \u2228 1) \u2228 (V \u2228 D))\n(D \u2227 (1 \u2227 (\u00acD))) \u2228 ((V \u2228 1) \u2228 (V \u2228 D))\n(D \u2227 (\u00acD)) \u2228 ((V \u2228 1) \u2228 (V \u2228 D))\n((1 \u2227 D) \u2227 (\u00acD)) \u2228 ((V \u2228 1) \u2228 (V \u2228 D))\nChosen: ((D \u2227 1) \u2227 (\u00acD)) \u2228 (1 \u2228 (V \u2228 D))\n\nOptions:\n(1 \u2228 (V \u2228 D)) \u2228 ((D \u2227 1) \u2227 (\u00acD))\n(((D \u2227 1) \u2227 (\u00acD)) \u2228 1) \u2228 (V \u2228 D)\n((D \u2227 1) \u2227 (\u00acD)) \u2228 1\n((D \u2227 1) \u2227 (\u00acD)) \u2228 ((V \u2228 D) \u2228 1)\n((D \u2227 1) \u2227 (\u00acD)) \u2228 ((1 \u2228 V) \u2228 D)\n((D \u2227 1) \u2227 (\u00acD)) \u2228 (1 \u2228 (D \u2228 V))\n((\u00acD) \u2227 (D \u2227 1)) \u2228 (1 \u2228 (V \u2228 D))\n(D \u2227 (1 \u2227 (\u00acD))) \u2228 (1 \u2228 (V \u2228 D))\n(D \u2227 (\u00acD)) \u2228 (1 \u2228 (V \u2228 D))\n((1 \u2227 D) \u2227 (\u00acD)) \u2228 (1 \u2228 (V \u2228 D))\nChosen: ((D \u2227 1) \u2227 (\u00acD)) \u2228 1\n\nOptions:\n1\n1 \u2228 ((D \u2227 1) \u2227 (\u00acD))\n((\u00acD) \u2227 (D \u2227 1)) \u2228 1\n(D \u2227 (1 \u2227 (\u00acD))) \u2228 1\n(D \u2227 (\u00acD)) \u2228 1\n((1 \u2227 D) \u2227 (\u00acD)) \u2228 1\nChosen: 1", "id": 180}, {"char_len": 1103, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 16, 75078, 1229, 8, 75078, 320, 48, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 1229, 595, 12264, 101, 320, 83193, 7, 48, 75078, 220, 16, 1192, 83193, 1209, 48, 75078, 220, 16, 8, 75078, 320, 16, 75078, 1229, 1192, 83193, 6774, 16, 75078, 1229, 8, 75078, 1229, 8, 75078, 220, 16, 340, 83193, 7, 16, 75078, 320, 48, 75078, 320, 48, 75078, 220, 16, 6054, 83193, 1209, 16, 75078, 1229, 8, 75078, 1229, 340, 83193, 1209, 16, 75078, 1229, 8, 75078, 320, 16, 75078, 1229, 1192, 83193, 7, 48, 75078, 320, 48, 75078, 220, 16, 1192, 83193, 1209, 48, 75078, 220, 16, 8, 75078, 320, 48, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 16, 75078, 320, 48, 75078, 320, 48, 75078, 220, 16, 19789, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 48, 75078, 320, 48, 75078, 220, 16, 6054, 83193, 7, 48, 75078, 320, 48, 75078, 220, 16, 1192, 83193, 1209, 48, 75078, 320, 48, 75078, 220, 16, 595, 75078, 220, 16, 340, 83193, 7, 16, 75078, 1819, 48, 75078, 220, 16, 8, 75078, 1229, 1192, 83193, 7, 16, 75078, 1819, 48, 75078, 1229, 8, 75078, 220, 16, 1192, 83193, 7, 16, 75078, 320, 48, 75078, 1229, 1192, 83193, 7, 16, 75078, 320, 48, 75078, 320, 16, 75078, 1229, 6054, 1163, 8477, 25, 97265, 1209, 48, 75078, 320, 48, 75078, 220, 16, 595, 75078, 220, 16, 696, 3883, 512, 7, 83193, 7, 48, 75078, 320, 48, 75078, 220, 16, 7861, 12264, 101, 320, 83193, 16, 340, 83193, 7, 48, 75078, 320, 48, 75078, 220, 16, 1192, 83193, 7, 48, 75078, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 1192, 83193, 6774, 48, 75078, 220, 16, 8, 75078, 1229, 8, 75078, 220, 16, 340, 83193, 6774, 48, 75078, 1229, 8, 75078, 220, 16, 8, 75078, 220, 16, 340, 83193, 1209, 48, 75078, 1229, 8, 75078, 220, 16, 340, 83193, 1209, 48, 75078, 320, 16, 75078, 1229, 595, 75078, 220, 16, 340, 1163, 8477, 25, 320, 83193, 7, 48, 75078, 320, 48, 75078, 220, 16, 7861, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 48, 75078, 320, 48, 75078, 220, 16, 6054, 7, 83193, 7, 48, 75078, 320, 48, 75078, 220, 16, 7861, 12264, 101, 220, 15, 198, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 7, 48, 75078, 220, 16, 7861, 12264, 101, 320, 83193, 16, 340, 7, 83193, 1209, 48, 75078, 220, 16, 8, 75078, 1229, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 1209, 48, 75078, 1229, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 7, 48, 75078, 1229, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 7, 48, 75078, 320, 16, 75078, 1229, 7861, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 7, 48, 75078, 220, 16, 7861, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 7, 48, 75078, 220, 16, 6054, 7, 83193, 48, 8, 12264, 101, 1819, 83193, 7, 48, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 7, 48, 75078, 220, 16, 7861, 12264, 101, 220, 15, 198, 1209, 83193, 7, 48, 75078, 220, 16, 595, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 48, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 16, 7861, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 7, 16, 75078, 1229, 7861, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 83193, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 669, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((1 \u2227 Q) \u2227 (Q \u2227 1))\n\nOptions:\n(\u00ac(1 \u2227 Q)) \u2228 (\u00ac(Q \u2227 1))\n\u00ac((Q \u2227 1) \u2227 (1 \u2227 Q))\n\u00ac(((1 \u2227 Q) \u2227 Q) \u2227 1)\n\u00ac(1 \u2227 (Q \u2227 (Q \u2227 1)))\n\u00ac((1 \u2227 Q) \u2227 Q)\n\u00ac((1 \u2227 Q) \u2227 (1 \u2227 Q))\n\u00ac(Q \u2227 (Q \u2227 1))\n\u00ac((Q \u2227 1) \u2227 (Q \u2227 1))\nChosen: \u00ac(1 \u2227 (Q \u2227 (Q \u2227 1)))\n\nOptions:\n(\u00ac1) \u2228 (\u00ac(Q \u2227 (Q \u2227 1)))\n\u00ac(Q \u2227 (Q \u2227 1))\n\u00ac((Q \u2227 (Q \u2227 1)) \u2227 1)\n\u00ac(1 \u2227 ((Q \u2227 1) \u2227 Q))\n\u00ac(1 \u2227 ((Q \u2227 Q) \u2227 1))\n\u00ac(1 \u2227 (Q \u2227 Q))\n\u00ac(1 \u2227 (Q \u2227 (1 \u2227 Q)))\nChosen: \u00ac((Q \u2227 (Q \u2227 1)) \u2227 1)\n\nOptions:\n(\u00ac(Q \u2227 (Q \u2227 1))) \u2228 (\u00ac1)\n\u00ac(Q \u2227 (Q \u2227 1))\n\u00ac(Q \u2227 ((Q \u2227 1) \u2227 1))\n\u00ac(((Q \u2227 1) \u2227 Q) \u2227 1)\n\u00ac(((Q \u2227 Q) \u2227 1) \u2227 1)\n\u00ac((Q \u2227 Q) \u2227 1)\n\u00ac((Q \u2227 (1 \u2227 Q)) \u2227 1)\nChosen: (\u00ac(Q \u2227 (Q \u2227 1))) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 (\u00ac(Q \u2227 (Q \u2227 1)))\n(\u00ac(Q \u2227 (Q \u2227 1))) \u2228 0\n((\u00acQ) \u2228 (\u00ac(Q \u2227 1))) \u2228 (\u00ac1)\n(\u00ac((Q \u2227 1) \u2227 Q)) \u2228 (\u00ac1)\n(\u00ac((Q \u2227 Q) \u2227 1)) \u2228 (\u00ac1)\n(\u00ac(Q \u2227 Q)) \u2228 (\u00ac1)\n(\u00ac(Q \u2227 (1 \u2227 Q))) \u2228 (\u00ac1)\nChosen: ((\u00acQ) \u2228 (\u00ac(Q \u2227 1))) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 ((\u00acQ) \u2228 (\u00ac(Q \u2227 1)))\n(\u00acQ) \u2228 ((\u00ac(Q \u2227 1)) \u2228 (\u00ac1))\n((\u00acQ) \u2228 (\u00ac(Q \u2227 1))) \u2228 0\n((\u00ac(Q \u2227 1)) \u2228 (\u00acQ)) \u2228 (\u00ac1)\n((\u00acQ) \u2228 ((\u00acQ) \u2228 (\u00ac1))) \u2228 (\u00ac1)\n((\u00acQ) \u2228 (\u00acQ)) \u2228 (\u00ac1)\n((\u00acQ) \u2228 (\u00ac(1 \u2227 Q))) \u2228 (\u00ac1)\nChosen: ((\u00acQ) \u2228 (\u00acQ)) \u2228 (\u00ac1)", "id": 181}, {"char_len": 227, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 42, 12264, 101, 220, 15, 4489, 3883, 512, 42, 12264, 101, 220, 15, 198, 83193, 1209, 83193, 42, 8, 75078, 320, 83193, 15, 1192, 83193, 7, 83193, 42, 340, 83193, 7, 83193, 7, 15, 12264, 101, 735, 1192, 1163, 8477, 25, 735, 12264, 101, 220, 15, 271, 3883, 512, 42, 198, 15, 12264, 101, 735, 198, 1163, 8477, 25, 220, 15, 12264, 101, 735, 271, 3883, 512, 42, 198, 1163, 8477, 25, 735], "tokenizer": "cl100k_base", "tokens_len": 95, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(K \u2228 0))\n\nOptions:\nK \u2228 0\n\u00ac((\u00acK) \u2227 (\u00ac0))\n\u00ac(\u00acK)\n\u00ac(\u00ac(0 \u2228 K))\nChosen: K \u2228 0\n\nOptions:\nK\n0 \u2228 K\nChosen: 0 \u2228 K\n\nOptions:\nK\nChosen: K", "id": 182}, {"char_len": 770, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 37, 12264, 101, 220, 16, 8, 12264, 101, 320, 48, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 37, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 48, 75078, 220, 15, 1192, 83193, 1209, 48, 75078, 220, 15, 8, 12264, 101, 320, 37, 12264, 101, 220, 16, 1192, 83193, 7, 37, 12264, 101, 320, 16, 12264, 101, 320, 48, 75078, 220, 15, 6054, 83193, 6774, 37, 12264, 101, 220, 16, 8, 12264, 101, 1229, 8, 75078, 1819, 37, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 1192, 83193, 1209, 37, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 83193, 1209, 37, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 75078, 1229, 1192, 83193, 7, 16, 12264, 101, 320, 48, 75078, 220, 15, 1192, 83193, 1209, 16, 12264, 101, 435, 8, 12264, 101, 320, 48, 75078, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 37, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 75078, 1229, 4489, 3883, 512, 7, 83193, 7, 37, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 15, 75078, 1229, 1192, 83193, 1209, 15, 75078, 1229, 8, 12264, 101, 320, 37, 12264, 101, 220, 16, 1192, 83193, 7, 37, 12264, 101, 320, 16, 12264, 101, 320, 15, 75078, 1229, 6054, 83193, 6774, 37, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 37, 12264, 101, 220, 16, 8, 12264, 101, 1229, 1192, 83193, 1209, 37, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 83193, 7, 16, 12264, 101, 320, 15, 75078, 1229, 1192, 83193, 1209, 16, 12264, 101, 435, 8, 12264, 101, 320, 15, 75078, 1229, 1192, 1163, 8477, 25, 97265, 1209, 37, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 37, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 340, 83193, 7, 37, 12264, 101, 220, 16, 340, 83193, 7, 15, 12264, 101, 320, 37, 12264, 101, 220, 16, 1192, 83193, 7, 37, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 83193, 7, 16, 12264, 101, 220, 15, 340, 83193, 1209, 16, 12264, 101, 435, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 1209, 16, 12264, 101, 435, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 16, 12264, 101, 435, 595, 75078, 320, 83193, 15, 340, 83193, 7, 16, 12264, 101, 435, 340, 83193, 7, 15, 12264, 101, 320, 16, 12264, 101, 435, 1192, 83193, 7, 16, 12264, 101, 320, 37, 12264, 101, 220, 15, 1192, 83193, 7, 16, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 16, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 15, 340, 83193, 16, 198, 83193, 7, 15, 12264, 101, 220, 16, 340, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 488, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((F \u2228 1) \u2228 (Q \u2227 0))\n\nOptions:\n(\u00ac(F \u2228 1)) \u2227 (\u00ac(Q \u2227 0))\n\u00ac((Q \u2227 0) \u2228 (F \u2228 1))\n\u00ac(F \u2228 (1 \u2228 (Q \u2227 0)))\n\u00ac(((F \u2228 1) \u2228 Q) \u2227 ((F \u2228 1) \u2228 0))\n\u00ac((F \u2228 1) \u2228 0)\n\u00ac((F \u2228 1) \u2228 (0 \u2227 Q))\n\u00ac(1 \u2228 (Q \u2227 0))\n\u00ac((1 \u2228 F) \u2228 (Q \u2227 0))\nChosen: \u00ac((F \u2228 1) \u2228 (0 \u2227 Q))\n\nOptions:\n(\u00ac(F \u2228 1)) \u2227 (\u00ac(0 \u2227 Q))\n\u00ac((0 \u2227 Q) \u2228 (F \u2228 1))\n\u00ac(F \u2228 (1 \u2228 (0 \u2227 Q)))\n\u00ac(((F \u2228 1) \u2228 0) \u2227 ((F \u2228 1) \u2228 Q))\n\u00ac((F \u2228 1) \u2228 0)\n\u00ac(1 \u2228 (0 \u2227 Q))\n\u00ac((1 \u2228 F) \u2228 (0 \u2227 Q))\nChosen: \u00ac((F \u2228 1) \u2228 0)\n\nOptions:\n(\u00ac(F \u2228 1)) \u2227 (\u00ac0)\n\u00ac(F \u2228 1)\n\u00ac(0 \u2228 (F \u2228 1))\n\u00ac(F \u2228 (1 \u2228 0))\n\u00ac(1 \u2228 0)\n\u00ac((1 \u2228 F) \u2228 0)\nChosen: \u00ac((1 \u2228 F) \u2228 0)\n\nOptions:\n(\u00ac(1 \u2228 F)) \u2227 (\u00ac0)\n\u00ac(1 \u2228 F)\n\u00ac(0 \u2228 (1 \u2228 F))\n\u00ac(1 \u2228 (F \u2228 0))\n\u00ac(1 \u2228 0)\nChosen: \u00ac(1 \u2228 0)\n\nOptions:\n(\u00ac1) \u2227 (\u00ac0)\n\u00ac1\n\u00ac(0 \u2228 1)\nChosen: \u00ac(0 \u2228 1)", "id": 183}, {"char_len": 131, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 83193, 42, 4489, 3883, 512, 83193, 42, 198, 1163, 8477, 25, 97265, 42], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(\u00acK))\n\nOptions:\n\u00acK\nChosen: \u00acK", "id": 184}, {"char_len": 22, "tokens": [28336, 25, 220, 24, 220, 220, 806, 198, 8724, 44, 25, 220, 1484], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 9 11\nLCM: 99", "id": 185}, {"char_len": 48, "tokens": [28336, 25, 220, 1419, 765, 220, 1419, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 1419], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 23 | 23\nLeast Common Multiple (LCM): 23", "id": 186}, {"char_len": 32, "tokens": [22, 674, 220, 17, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 975], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "7 # 2\n These numbers' LCM is: 14", "id": 187}, {"char_len": 81, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 806, 3929, 220, 2096, 1432, 8724, 44, 25, 2096], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n11 --> 44\n\n\nLCM:44", "id": 188}, {"char_len": 85, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 24, 11, 220, 975, 11, 220, 3391, 271, 16533, 25, 220, 22058, 23], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n9, 14, 43\n\nAnswer: 5418", "id": 189}, {"char_len": 29, "tokens": [10086, 279, 445, 10190, 25, 220, 18, 91, 23, 91, 868, 198, 8724, 44, 25, 220, 4364], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 3|8|15\nLCM: 120", "id": 190}, {"char_len": 52, "tokens": [35, 25296, 279, 87179, 25, 220, 21, 198, 975, 198, 20, 198, 82916, 4279, 5361, 271, 8848], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 6\n14\n5\nLeast common multiple\n\n210", "id": 191}, {"char_len": 47, "tokens": [35, 25296, 279, 445, 10190, 271, 1032, 11, 220, 1544, 11, 220, 1544, 11, 220, 1187, 198, 791, 445, 10190, 25, 220, 11209, 23], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n13, 27, 27, 24\nThe LCM: 2808", "id": 192}, {"char_len": 36, "tokens": [35, 25296, 279, 445, 10190, 271, 23, 674, 220, 22, 198, 791, 445, 10190, 25, 220, 3487], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n8 # 7\nThe LCM: 56", "id": 193}, {"char_len": 83, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 2166, 11, 220, 21, 11, 220, 20, 271, 16533, 25, 220, 8273], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n48, 6, 5\n\nAnswer: 240", "id": 194}, {"char_len": 68, "tokens": [35, 25296, 279, 87179, 25, 220, 1032, 11, 220, 17, 11, 220, 1627, 11, 220, 1313, 11, 220, 1627, 11, 220, 845, 198, 82916, 4279, 5361, 271, 14261, 23], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 13, 2, 26, 22, 26, 16\nLeast common multiple\n\n2288", "id": 195}, {"char_len": 43, "tokens": [23, 11, 1272, 11, 1313, 11, 3971, 11, 1927, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 24938, 508], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "LCM", "txt": "8,40,22,51,36\n These numbers' LCM is: 67320", "id": 196}, {"char_len": 49, "tokens": [35, 25296, 279, 87179, 25, 220, 18, 201, 975, 198, 82916, 4279, 5361, 271, 2983], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 3\r14\nLeast common multiple\n\n42", "id": 197}, {"char_len": 51, "tokens": [35, 25296, 279, 87179, 25, 220, 22, 11, 220, 843, 198, 82916, 4279, 5361, 271, 10697], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 7, 32\nLeast common multiple\n\n224", "id": 198}, {"char_len": 138, "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, 7461, 405, 19, 405, 2790, 198, 8724, 44, 25, 220, 22184, 21], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 106->4->46\nLCM: 4876", "id": 199}, {"char_len": 23, "tokens": [28336, 25, 220, 23, 11, 220, 868, 198, 8724, 44, 25, 220, 4364], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 8, 15\nLCM: 120", "id": 200}, {"char_len": 82, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 1958, 3929, 220, 806, 1432, 8724, 44, 25, 18265], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n34 --> 11\n\n\nLCM:374", "id": 201}, {"char_len": 25, "tokens": [717, 220, 18, 220, 2790, 198, 50828, 445, 10190, 374, 25, 220, 16660], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "12 3 46\ntheir LCM is: 276", "id": 202}, {"char_len": 31, "tokens": [3990, 279, 87179, 19, 765, 220, 605, 765, 220, 24, 198, 75, 6358, 25, 220, 5245], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm4 | 10 | 9\nlcm: 180", "id": 203}, {"char_len": 88, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 19, 262, 220, 717, 262, 220, 914, 271, 16533, 25, 220, 3101], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n4 12 25\n\nAnswer: 300", "id": 204}, {"char_len": 35, "tokens": [3990, 279, 87179, 17, 405, 508, 405, 1627, 405, 1313, 198, 75, 6358, 25, 220, 17361, 15], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm2->20->26->22\nlcm: 2860", "id": 205}, {"char_len": 32, "tokens": [10086, 279, 445, 10190, 25, 220, 605, 91, 1691, 91, 21, 91, 21, 198, 8724, 44, 25, 220, 8848], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 10|21|6|6\nLCM: 210", "id": 206}, {"char_len": 81, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 1313, 11, 220, 19, 11, 220, 24, 1432, 8724, 44, 25, 19615], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n22, 4, 9\n\n\nLCM:396", "id": 207}, {"char_len": 25, "tokens": [3990, 279, 87179, 2491, 198, 23, 198, 75, 6358, 25, 220, 19695], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm49\n8\nlcm: 392", "id": 208}, {"char_len": 35, "tokens": [35, 25296, 279, 445, 10190, 271, 18, 198, 1114, 198, 791, 445, 10190, 25, 220, 3971], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n3\n17\nThe LCM: 51", "id": 209}, {"char_len": 21, "tokens": [4331, 11, 1490, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "GCD", "txt": "53,80\ntheir GCD is: 1", "id": 210}, {"char_len": 58, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 2131, 11, 2137, 11, 1032, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 55,39,13\nGreatest common denominator\n\n1", "id": 211}, {"char_len": 21, "tokens": [28336, 25, 220, 17, 201, 8190, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 2\r113\nGCD: 1", "id": 212}, {"char_len": 32, "tokens": [28336, 25, 220, 1927, 405, 1399, 405, 14245, 405, 4645, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 36->60->430->101\nGCD: 1", "id": 213}, {"char_len": 27, "tokens": [28336, 25, 220, 11128, 11, 220, 845, 11, 220, 6069, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 179, 16, 83\nGCD: 1", "id": 214}, {"char_len": 60, "tokens": [28336, 25, 220, 14417, 11, 8190, 11, 1544, 11, 9390, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 275,113,27,126\nGreatest Common Denominator (GCD): 1", "id": 215}, {"char_len": 48, "tokens": [35, 25296, 279, 480, 6620, 271, 2491, 3929, 220, 18017, 3929, 220, 10674, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n49 --> 373 --> 162\nThe GCD: 1", "id": 216}, {"char_len": 29, "tokens": [10086, 279, 480, 6620, 25, 220, 23, 197, 845, 197, 17786, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 8\t16\t505\nGCD: 1", "id": 217}, {"char_len": 85, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 1032, 765, 220, 19869, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n13 | 508\n\n\nGCD:1", "id": 218}, {"char_len": 40, "tokens": [35, 25296, 279, 480, 6620, 271, 5894, 3929, 220, 868, 198, 791, 480, 6620, 25, 220, 20], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n130 --> 15\nThe GCD: 5", "id": 219}, {"char_len": 39, "tokens": [2166, 674, 220, 14590, 674, 220, 1806, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "48 # 237 # 37\n These numbers' GCD is: 1", "id": 220}, {"char_len": 30, "tokens": [3990, 279, 45958, 15531, 3929, 220, 9367, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd299 --> 188\nGCD: 1", "id": 221}, {"char_len": 22, "tokens": [28336, 25, 220, 2287, 271, 1958, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 66\n\n34\nGCD: 2", "id": 222}, {"char_len": 86, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 21, 11, 2148, 11, 1419, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n6,31,23\n\nAnswer: 1", "id": 223}, {"char_len": 60, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 1490, 3929, 220, 20698, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 80 --> 397\nGreatest common denominator\n\n1", "id": 224}, {"char_len": 33, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 10288, 220, 2166, 198, 38, 6620, 25, 220, 18], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 147 48\nGCD: 3", "id": 225}, {"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, 717, 201, 12815, 198, 791, 480, 6620, 374, 220, 717], "tokenizer": "cl100k_base", "tokens_len": 43, "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: 12\r264\nThe GCD is 12", "id": 226}, {"char_len": 59, "tokens": [28336, 25, 220, 21, 201, 10866, 201, 2618, 201, 20, 201, 4161, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 6\r205\r47\r5\r96\nGreatest Common Denominator (GCD): 1", "id": 227}, {"char_len": 58, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 5313, 674, 220, 7994, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 85 # 121\nGreatest common denominator\n\n1", "id": 228}, {"char_len": 32, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 4578, 91, 6028, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 89|71\nGCD: 1", "id": 229}, {"char_len": 27, "tokens": [3990, 279, 45958, 1272, 197, 2075, 197, 1774, 198, 38, 6620, 25, 220, 20], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd40\t75\t45\nGCD: 5", "id": 230}, {"char_len": 160, "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, 975, 11, 220, 1682, 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: 14, 29\nThe GCD is 1", "id": 231}, {"char_len": 28, "tokens": [10086, 279, 480, 6620, 25, 220, 20077, 201, 4364, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 394\r120\nGCD: 2", "id": 232}, {"char_len": 60, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 1682, 11, 220, 3971, 11, 220, 2614, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 29, 51, 68\nGreatest common denominator\n\n1", "id": 233}, {"char_len": 162, "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, 10005, 11, 220, 10828, 198, 791, 480, 6620, 374, 220, 22], "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: 175, 182\nThe GCD is 7", "id": 234}]